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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RI.1.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use the illustrations and details in a text to describe its key ideas.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RI.1.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Identify the reasons an author gives to support points in a text.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RI.1.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Identify basic similarities in and differences between two texts on the same topic (e.g., in illustrations, descriptions, or procedures).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RI.11-12.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Cite strong and thorough textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text, including determining where the text leaves matters uncertain.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "reading", "title": "Research and Source Evaluation", "relation": "reference" }, { "grade": "12th", "subject": "reading", "title": "Critical Theory: Feminist, Marxist, Post-Colonial", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RI.11-12.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Analyze seventeenth-, eighteenth-, and nineteenth-century foundational U.S. documents of historical and literary significance (including The Declaration of Independence, the Preamble to the Constitution, the Bill of Rights, and Lincoln's Second Inaugural Address) for their themes, purposes, and rhetorical features.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RI.2.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RI.2.10", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "By the end of year, read and comprehend informational texts, including history/social studies, science, and technical texts, in the grades 2\u20143 text complexity band proficiently, with scaffolding as needed at the high end of the range.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RL.7.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare and contrast a fictional portrayal of a time, place, or character and a historical account of the same period as a means of understanding how authors of fiction use or alter history.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "english", "title": "Allusion and Literary References", "relation": "reference" }, { "grade": "7th", "subject": "reading", "title": "Comparing Authors' Perspectives", "relation": "reference" }, { "grade": "7th", "subject": "reading", "title": "Comparing Fiction and Nonfiction", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RL.8.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Cite the textual evidence that most strongly supports an analysis of what the text says explicitly as well as inferences drawn from the text.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "reading", "title": "Analyzing Complex Characters", "relation": "reference" }, { "grade": "8th", "subject": "writing", "title": "Narrative Writing: Complex Characters", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RL.8.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Determine the meaning of words and phrases as they are used in a text, including figurative and connotative meanings; analyze the impact of specific word choices on meaning and tone, including analogies or allusions to other texts.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/ELA-Literacy/" }, { "state": "DC", "state_framework_code": "CCSS.ELA-Literacy.RL.8.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare and contrast the structure of two or more texts and analyze how the differing structure of each text contributes to its meaning and style.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "1st", "subject": "math", "title": "Measuring Lengths", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.MD.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Tell and write time.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.MD.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Tell and write time in hours and half-hours using analog and digital clocks.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.MD.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and interpret data.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.MD.C.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Extend the counting sequence.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "1st", "subject": "math", "title": "Adding Two-Digit Numbers", "relation": "reference" }, { "grade": "1st", "subject": "math", "title": "Comparing Two-Digit Numbers", "relation": "reference" }, { "grade": "1st", "subject": "math", "title": "Counting to 120", "relation": "reference" }, { "grade": "1st", "subject": "math", "title": "Place Value: Tens and Ones", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand place value.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.B.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85370, 85373, 85379, 85381, 85382, 85384, 85387, 85392, 85396, 85397, 85409, 85410, 85419, 85424, 85430, 85435, 85440, 85441, 85444, 85447, 85454, 85456, 85459, 85461, 85464, 85475, 85479, 85480 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.B.2a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "10 can be thought of as a bundle of ten ones \u2014 called a \"ten.\"", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.B.2b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.B.2c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85371, 85380, 85386, 85388, 85389, 85390, 85393, 85398, 85403, 85404, 85405, 85411, 85413, 85414, 85423, 85426, 85427, 85429, 85434, 85445, 85446, 85451, 85452, 85453, 85455, 85460, 85467, 85471, 85473 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use place value understanding and properties of operations to add and subtract.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.C.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85376, 85399, 85417, 85420, 85432, 85436, 85442, 85449, 85466, 85468, 85469 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.NBT.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and solve problems involving addition and subtraction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "1st", "subject": "math", "title": "Addition Within 20", "relation": "reference" }, { "grade": "1st", "subject": "math", "title": "Word Problems: Add and Subtract", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand and apply properties of operations and the relationship between addition and subtraction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply properties of operations as strategies to add and subtract.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand subtraction as an unknown-addend problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Add and subtract within 20.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "1st", "subject": "math", "title": "Subtraction Within 20", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85377, 85383, 85385, 85391, 85394, 85401, 85407, 85408, 85412, 85415, 85416, 85421, 85422, 85425, 85428, 85431, 85433, 85438, 85439, 85443, 85448, 85450, 85457, 85458, 85465, 85470, 85472, 85476, 85478 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.D", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Work with addition and subtraction equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.D.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.1.OA.D.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85372, 85374, 85375, 85378, 85395, 85400, 85402, 85406, 85418, 85437, 85462, 85463, 85474, 85477 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.G.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Reason with shapes and their attributes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.G.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.G.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.G.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "2nd", "subject": "math", "title": "Shapes and Equal Shares", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Measure and estimate lengths in standard units.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "2nd", "subject": "math", "title": "Measurement with Standard Units", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Estimate lengths using units of inches, feet, centimeters, and meters.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Relate addition and subtraction to length.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, \u2026, and represent whole-number sums and differences within 100 on a number line diagram.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Work with time and money.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "2nd", "subject": "math", "title": "Telling Time to 5 Minutes", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and \u00a2 symbols appropriately.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "2nd", "subject": "math", "title": "Money: Coins and Bills", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85937, 85955, 85987 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.D", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and interpret data.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.MD.D.10", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. 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Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand place value.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.A.1b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Count within 1000; skip-count by 5s, 10s, and 100s.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use place value understanding and properties of operations to add and subtract.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85925, 85928, 85929, 85930, 85931, 85932, 85933, 85934, 85935, 85936, 85938, 85939, 85940, 85942, 85944, 85945, 85946, 85947, 85948, 85949, 85950, 85951, 85952, 85953, 85954, 85956, 85957, 85958, 85959, 85961, 85962, 85964, 85966, 85968, 85969, 85973, 85974, 85975, 85976, 85977, 85978, 85979, 85980, 85981, 85982, 85983, 85984, 85986, 85988, 85989, 85990, 85991, 85993, 85994, 85996, 85997, 85999, 86000, 86001, 86002, 86003, 86004, 86005, 86006, 86007, 86008, 86009, 86011, 86012, 86013, 86014, 86015, 86016, 86017, 86018, 86019, 86020, 86021, 86022, 86023, 86024, 86025, 86026, 86028, 86030, 86031, 86032, 86033, 86034, 86035 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add up to four two-digit numbers using strategies based on place value and properties of operations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.B.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.B.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Mentally add 10 or 100 to a given number 100\u2014900, and mentally subtract 10 or 100 from a given number 100\u2014900.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.NBT.B.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain why addition and subtraction strategies work, using place value and the properties of operations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.OA.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and solve problems involving addition and subtraction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.OA.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "2nd", "subject": "math", "title": "Word Problems: Two Steps", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.OA.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Add and subtract within 20.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.OA.B.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.OA.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Work with equal groups of objects to gain foundations for multiplication.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.OA.C.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "2nd", "subject": "math", "title": "Even and Odd Numbers", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.2.OA.C.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "2nd", "subject": "math", "title": "Arrays and Repeated Addition", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 85926, 85927, 85941, 85943, 85960, 85963, 85965, 85967, 85970, 85971, 85972, 85985, 85992, 85995, 85998, 86010, 86027, 86029 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.G.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Reason with shapes and their attributes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.G.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.G.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Area and Perimeter", "relation": "reference" }, { "grade": "3rd", "subject": "math", "title": "Elapsed Time", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and interpret data.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step \"how many more\" and \"how many less\" problems using information presented in scaled bar graphs.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Data and Bar Graphs", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units\u2014 whole numbers, halves, or quarters.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Geometric measurement: understand concepts of area and relate area to multiplication and to addition.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize area as an attribute of plane figures and understand concepts of area measurement.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.5a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "A square with side length 1 unit, called \"a unit square,\" is said to have \"one square unit\" of area, and can be used to measure area.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.5b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Area and Perimeter", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Relate area to the operations of multiplication and addition.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Area and Perimeter", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.7a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.7b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 86480, 86484, 86485, 86489, 86492, 86493, 86494, 86497, 86499, 86502, 86504, 86505, 86506, 86511, 86512, 86513, 86514, 86516, 86517, 86518, 86521, 86522, 86524, 86525, 86527, 86528, 86529, 86530, 86538, 86540, 86541, 86542, 86543, 86547, 86550, 86553, 86554, 86555, 86557, 86559, 86564, 86567, 86570, 86572, 86573, 86574, 86576, 86577, 86578, 86579, 86585, 86586, 86587, 86588 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.MD.C.7c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a \u00d7 b and a \u00d7 c. 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NBT.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use place value understanding and properties of operations to perform multi-digit arithmetic.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NBT.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use place value understanding to round whole numbers to the nearest 10 or 100.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NF.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Develop understanding of fractions as numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NF.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Equivalent Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 86481, 86482, 86483, 86486, 86487, 86488, 86491, 86495, 86496, 86498, 86500, 86501, 86503, 86507, 86508, 86509, 86510, 86515, 86519, 86520, 86526, 86531, 86532, 86533, 86534, 86535, 86536, 86537, 86539, 86544, 86545, 86546, 86548, 86549, 86551, 86556, 86558, 86560, 86561, 86562, 86563, 86565, 86566, 86568, 86569, 86571, 86580, 86582, 86583, 86584, 86589, 86590 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NF.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand a fraction as a number on the number line; 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Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NF.A.2b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. 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Explain why the fractions are equivalent, e.g., by using a visual fraction model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Equivalent Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NF.A.3c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.NF.A.3d", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and solve problems involving multiplication and division.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret products of whole numbers, e.g., interpret 5 \u00d7 7 as the total number of objects in 5 groups of 7 objects each.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret whole-number quotients of whole numbers, e.g., interpret 56 \u00f7 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Division Concepts", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Division Concepts", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Determine the unknown whole number in a multiplication or division equation relating three whole numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand properties of multiplication and the relationship between multiplication and division.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply properties of operations as strategies to multiply and divide.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Multiplication Facts 0-5", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand division as an unknown-factor problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Division Concepts", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Multiply and divide within 100.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 \u00d7 5 = 40, one knows 40 \u00f7 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "math", "title": "Multiplication Facts 6-12", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 86490, 86523, 86552, 86575, 86581 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.D", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Solve problems involving the four operations, and identify and explain patterns in arithmetic.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.D.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.3.OA.D.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.G.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Draw and identify lines and angles, and classify shapes by properties of their lines and angles.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.G.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.G.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.G.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Angles and Measurement", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply the area and perimeter formulas for rectangles in real world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Area and Perimeter Problems", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and interpret data.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Geometric measurement: understand concepts of angle and measure angles.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.C.5a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a \"one-degree angle,\" and can be used to measure angles.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.C.5b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "An angle that turns through n one-degree angles is said to have an angle measure of n degrees.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.MD.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Generalize place value understanding for multi-digit whole numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Multi-Digit Multiplication", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 87035, 87037, 87041, 87042, 87047, 87049, 87050, 87051, 87052, 87060, 87061, 87065, 87067, 87068, 87071, 87073, 87075, 87077, 87079, 87085, 87086, 87093, 87094, 87097, 87101, 87104, 87105, 87106, 87109, 87116, 87119, 87120, 87122, 87131, 87132, 87141, 87144 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use place value understanding to round multi-digit whole numbers to any place.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use place value understanding and properties of operations to perform multi-digit arithmetic.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently add and subtract multi-digit whole numbers using the standard algorithm.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 87038, 87040, 87045, 87048, 87054, 87056, 87058, 87062, 87063, 87066, 87069, 87076, 87078, 87083, 87087, 87091, 87092, 87095, 87096, 87098, 87099, 87102, 87103, 87107, 87108, 87110, 87111, 87112, 87114, 87115, 87121, 87126, 87127, 87129, 87130, 87133, 87134, 87135, 87137, 87143 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NBT.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Long Division", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Extend understanding of fraction equivalence and ordering.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain why a fraction a/b is equivalent to a fraction (n \u00d7 a)/(n \u00d7 b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Adding and Subtracting Fractions", "relation": "reference" }, { "grade": "4th", "subject": "math", "title": "Decimals and Place Value", "relation": "reference" }, { "grade": "4th", "subject": "math", "title": "Fraction Equivalence", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Adding and Subtracting Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 87036, 87039, 87043, 87044, 87046, 87053, 87055, 87057, 87059, 87064, 87070, 87072, 87074, 87080, 87081, 87082, 87084, 87088, 87089, 87090, 87100, 87113, 87117, 87118, 87123, 87124, 87125, 87128, 87136, 87138, 87139, 87140, 87142, 87145 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand a fraction a/b with a > 1 as a sum of fractions 1/b.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Adding and Subtracting Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.3a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.3b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.3c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.3d", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.4a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand a fraction a/b as a multiple of 1/b.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.4b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.B.4c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand decimal notation for fractions, and compare decimal fractions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use decimal notation for fractions with denominators 10 or 100.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.NF.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use the four operations with whole numbers to solve problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 \u00d7 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Patterns and Rules", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Multi-Step Word Problems", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Gain familiarity with factors and multiples.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find all factor pairs for a whole number in the range 1\u2014100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1\u2014100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1\u2014100 is prime or composite.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "math", "title": "Factors and Multiples", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Generate and analyze patterns.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.4.OA.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.G.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Graph points on the coordinate plane to solve real-world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.G.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Coordinate Plane", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.G.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.G.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Classify two-dimensional figures into categories based on their properties.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.G.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.G.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Classify two-dimensional figures in a hierarchy based on properties.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Convert like measurement units within a given measurement system.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 87595, 87603, 87605, 87613, 87617, 87626, 87641, 87659, 87660, 87681, 87682, 87689, 87690 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and interpret data.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.B.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize volume as an attribute of solid figures and understand concepts of volume measurement.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.3a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "A cube with side length 1 unit, called a \"unit cube,\" is said to have \"one cubic unit\" of volume, and can be used to measure volume.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.3b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Volume of Rectangular Prisms", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.5a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.5b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply the formulas V = l \u00d7 w \u00d7 h and V = b \u00d7 h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 87593, 87594, 87597, 87599, 87600, 87604, 87610, 87614, 87615, 87616, 87618, 87621, 87622, 87624, 87627, 87632, 87634, 87635, 87636, 87639, 87640, 87642, 87644, 87645, 87646, 87647, 87648, 87651, 87652, 87653, 87654, 87658, 87664, 87665, 87666, 87669, 87671, 87673, 87676, 87677, 87679, 87680, 87685, 87692, 87694, 87697, 87698, 87699, 87700 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.MD.C.5c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand the place value system.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Decimal Place Value", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Read, write, and compare decimals to thousandths.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.A.3a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 \u00d7 100 + 4 \u00d7 10 + 7 \u00d7 1 + 3 \u00d7 (1/10) + 9 \u00d7 (1/100) + 2 \u00d7 (1/1000).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.A.3b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use place value understanding to round decimals to any place.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Perform operations with multi-digit whole numbers and with decimals to hundredths.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently multiply multi-digit whole numbers using the standard algorithm.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Multiplying Multi-Digit Numbers", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Dividing with Two-Digit Divisors", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NBT.B.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 87590, 87591, 87592, 87596, 87598, 87601, 87602, 87606, 87607, 87608, 87609, 87611, 87612, 87619, 87620, 87623, 87625, 87628, 87629, 87630, 87631, 87633, 87637, 87638, 87643, 87649, 87650, 87655, 87656, 87657, 87661, 87662, 87663, 87667, 87668, 87670, 87672, 87674, 87675, 87678, 87683, 87684, 87686, 87687, 87688, 87691, 87693, 87695, 87696 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use equivalent fractions as a strategy to add and subtract fractions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Adding and Subtracting Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Apply and extend previous understandings of multiplication and division to multiply and divide fractions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret a fraction as division of the numerator by the denominator (a/b = a \u00f7 b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Multiplying Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.4a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret the product (a/b) \u00d7 q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a \u00d7 q \u00f7 b.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.4b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret multiplication as scaling (resizing), by:", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Multiplying Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.5a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.5b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n\u00d7a)/(n\u00d7b) to the effect of multiplying a/b by 1.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Dividing Fractions by Whole Numbers", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.7a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.7b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret division of a whole number by a unit fraction, and compute such quotients.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.NF.B.7c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.OA.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Write and interpret numerical expressions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.OA.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "math", "title": "Order of Operations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.OA.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.OA.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Analyze patterns and relationships.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.5.OA.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. 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Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply the properties of operations to generate equivalent expressions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Reason about and solve one-variable equations and inequalities.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.B.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "math", "title": "One-Step Equations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 88145, 88149, 88150, 88151, 88157, 88163, 88164, 88166, 88172, 88174, 88176, 88179, 88180, 88185, 88186, 88188, 88192, 88200, 88202, 88203, 88207, 88208, 88210, 88211, 88212, 88215, 88216, 88220, 88225, 88232, 88234, 88238, 88239, 88242, 88244, 88245 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.B.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Write an inequality of the form x > c or x c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and analyze quantitative relationships between dependent and independent variables.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.EE.C.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.G.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Solve real-world and mathematical problems involving area, surface area, and volume.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.G.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "math", "title": "Area of Polygons", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.G.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.G.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.G.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Apply and extend previous understandings of multiplication and division to divide fractions by fractions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "math", "title": "Dividing Fractions by Fractions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Compute fluently with multi-digit numbers and find common factors and multiples.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.B.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently divide multi-digit numbers using the standard algorithm.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "math", "title": "Operations with Decimals", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1\u2014100 with a common factor as a multiple of a sum of two whole numbers with no common factor.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "math", "title": "Greatest Common Factor and LCM", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Apply and extend previous understandings of numbers to the system of rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "math", "title": "Integers and the Number Line", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 88146, 88153, 88154, 88160, 88167, 88168, 88169, 88173, 88177, 88182, 88184, 88189, 88193, 88197, 88206, 88209, 88214, 88219, 88224, 88229, 88235, 88240, 88243, 88247, 88248, 88249, 88251, 88254 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.6a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.6b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.6c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand ordering and absolute value of rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.7a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.7b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Write, interpret, and explain statements of order for rational numbers in real-world contexts.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.7c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.7d", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Distinguish comparisons of absolute value from statements about order.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.NS.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. 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Use tables to compare ratios.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.RP.A.3b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve unit rate problems including those involving unit pricing and constant speed.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.RP.A.3c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.SP.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Develop understanding of statistical variability.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.SP.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.SP.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Summarize numerical data sets in relation to their context, such as by:", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.SP.B.5a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Reporting the number of observations.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.6.SP.B.5d", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.EE.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use properties of operations to generate equivalent expressions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.EE.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.EE.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.", "mapping_basis": "DC agency explicitly links to this national framework; 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Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.EE.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Inequalities", "relation": "reference" }, { "grade": "7th", "subject": "math", "title": "Two-Step Equations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.EE.B.4a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.G.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 88703, 88707, 88710, 88711, 88714, 88715, 88720, 88737, 88740, 88746, 88750, 88766, 88771, 88772, 88797, 88802, 88804 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.G.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.G.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Surface Area and Volume", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Adding and Subtracting Integers", "relation": "reference" }, { "grade": "7th", "subject": "math", "title": "Multiplying and Dividing Integers", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.1a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Describe situations in which opposite quantities combine to make 0.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.1b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. 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Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.1d", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply properties of operations as strategies to add and subtract rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Multiplying and Dividing Integers", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.2a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.2b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). 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know that the decimal form of a rational number terminates in 0s or eventually repeats.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.NS.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve real-world and mathematical problems involving the four operations with rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Multiplying and Dividing Integers", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Analyze proportional relationships and use them to solve real-world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Proportional Relationships", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize and represent proportional relationships between quantities.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Proportional Relationships", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A.2a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A.2b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A.2c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent proportional relationships by equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A.2d", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.RP.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use proportional relationships to solve multistep ratio and percent problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Percent Problems", "relation": "reference" }, { "grade": "7th", "subject": "math", "title": "Proportional Relationships", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 88701, 88702, 88704, 88709, 88713, 88716, 88718, 88719, 88721, 88722, 88724, 88725, 88726, 88727, 88728, 88729, 88730, 88731, 88733, 88734, 88735, 88736, 88741, 88745, 88747, 88748, 88751, 88752, 88754, 88761, 88762, 88764, 88767, 88768, 88769, 88770, 88775, 88776, 88777, 88778, 88779, 88780, 88781, 88782, 88788, 88790, 88791, 88792, 88795, 88796, 88798, 88799, 88808, 88809 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use random sampling to draw inferences about a population.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Draw informal comparative inferences about two populations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Investigate chance processes and develop, use, and evaluate probability models.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Probability: Simple and Compound", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Probability: Simple and Compound", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "math", "title": "Probability: Simple and Compound", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.7a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.7b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.8a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.8b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., \"rolling double sixes\"), identify the outcomes in the sample space which compose the event.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.7.SP.C.8c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Design and use a simulation to generate frequencies for compound events.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Work with radicals and integer exponents.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Know and apply the properties of integer exponents to generate equivalent numerical expressions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Exponents and Scientific Notation", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use square root and cube root symbols to represent solutions to equations of the form x\u00b2 = p and x\u00b3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that \u221a2 is irrational.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 89255, 89260, 89267, 89274, 89277, 89284, 89289, 89291, 89293, 89299, 89301, 89302, 89303, 89313, 89315, 89325, 89326, 89329, 89337, 89341, 89355, 89357, 89361 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 89256, 89257, 89258, 89259, 89264, 89265, 89266, 89268, 89269, 89271, 89272, 89273, 89276, 89278, 89279, 89280, 89281, 89282, 89283, 89285, 89286, 89287, 89288, 89290, 89292, 89294, 89296, 89298, 89304, 89305, 89306, 89307, 89308, 89311, 89316, 89318, 89319, 89320, 89324, 89328, 89330, 89331, 89333, 89334, 89335, 89336, 89338, 89340, 89342, 89343, 89345, 89346, 89347, 89348, 89349, 89350, 89351, 89352, 89353, 89354, 89356, 89358, 89359, 89360, 89362, 89363, 89364, 89365 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Exponents and Scientific Notation", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand the connections between proportional relationships, lines, and linear equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Slope and Linear Relationships", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Analyze and solve linear equations and pairs of simultaneous linear equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve linear equations in one variable.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Linear Equations in One Variable", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C.7a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C.7b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Analyze and solve pairs of simultaneous linear equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Systems of Linear Equations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C.8a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C.8b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.EE.C.8c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve real-world and mathematical problems leading to two linear equations in two variables.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.F.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Define, evaluate, and compare functions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.F.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Functions and Function Notation", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.F.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.F.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.F.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use functions to model relationships between quantities.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.F.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.F.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand congruence and similarity using physical models, transparencies, or geometry software.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Verify experimentally the properties of rotations, reflections, and translations:", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Transformations: Translations and Rotations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.1a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Lines are taken to lines, and line segments to line segments of the same length.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.1b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Angles are taken to angles of the same measure.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.1c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Parallel lines are taken to parallel lines.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.A.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 90367, 90368, 90369, 90370, 90371, 90372, 90373, 90374, 90376, 90377, 90378, 90379, 90380, 90381, 90382, 90383, 90384, 90385, 90386, 90387, 90388, 90389, 90390, 90391, 90392, 90393, 90394, 90395, 90396, 90397, 90398, 90399, 90400, 90401, 90402, 90403, 90404, 90405, 90406, 90407, 90408, 90409, 90410, 90411, 90412, 90413, 90414, 90415, 90416, 90418, 90419, 90420, 90421, 90422, 90423, 90424, 90426, 90427, 90428, 90429, 90430, 90431, 90432, 90433, 90434, 90435, 90436, 90437, 90438, 90439, 90440, 90441, 90442, 90443, 90444, 90446, 90447, 90448, 90449, 90450, 90451, 90452, 90453, 90454, 90455, 90456, 90457, 90459, 90460, 90462, 90463, 90464, 90465, 90466, 90467, 90468, 90469, 90470, 90471, 90472, 90473, 90474, 90475 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand and apply the Pythagorean Theorem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain a proof of the Pythagorean Theorem and its converse.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.B.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Pythagorean Theorem", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 89261, 89262, 89263, 89270, 89275, 89295, 89297, 89300, 89309, 89310, 89312, 89314, 89317, 89321, 89322, 89323, 89327, 89332, 89339, 89344 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.B.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.G.C.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "math", "title": "Volume of Cylinders, Cones, Spheres", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.NS.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Know that there are numbers that are not rational, and approximate them by rational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.8.NS.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Know that numbers that are not rational are called irrational. 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Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Perform arithmetic operations on polynomials", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "math", "title": "Polynomials: Add, Subtract, Multiply", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand the relationship between zeros and factors of polynomials", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.B.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use polynomial identities to solve problems", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.C.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Prove polynomial identities and use them to describe numerical relationships.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.D", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Rewrite rational expressions", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.D.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Rewrite simple rational expressions in different forms; write a(x /b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "math", "title": "Rational Expressions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-APR.D.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-CED.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Create equations that describe numbers or relationships", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-CED.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Mathematical Modeling", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-CED.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-CED.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-CED.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand solving equations as a process of reasoning and explain the reasoning", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "math", "title": "Polynomial Functions", "relation": "reference" }, { "grade": "9th", "subject": "math", "title": "Inequalities and Absolute Value", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "math", "title": "Rational Functions", "relation": "reference" }, { "grade": "9th", "subject": "math", "title": "Exponent Rules and Properties", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Solve equations and inequalities in one variable", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "math", "title": "Solving Linear Equations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve quadratic equations in one variable.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "math", "title": "Quadratic Equations: All Methods", "relation": "reference" }, { "grade": "10th", "subject": "math", "title": "Quadratic Formula", "relation": "reference" }, { "grade": "9th", "subject": "math", "title": "Quadratic Functions and Graphs", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.B.4a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)\u00b2 = q that has the same solutions. Derive the quadratic formula from this form.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.B.4b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve quadratic equations by inspection (e.g., for x\u00b2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a \u00b1 bi for real numbers a and b.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Solve systems of equations", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.C.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "math", "title": "Systems of Equations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Represent a system of linear equations as a single matrix equation in a vector variable.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.C.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 \u00d7 3 or greater).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.D", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and solve equations and inequalities graphically", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.D.10", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "math", "title": "Graphing Linear Functions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.D.11", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-REI.D.12", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Interpret the structure of expressions", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret expressions that represent a quantity in terms of its context", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "math", "title": "Factoring Polynomials", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.A.1a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret parts of an expression, such as terms, factors, and coefficients.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.A.1b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret complicated expressions by viewing one or more of their parts as a single entity.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use the structure of an expression to identify ways to rewrite it.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Write expressions in equivalent forms to solve problems", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.B.3a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Factor a quadratic expression to reveal the zeros of the function it defines.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.B.3b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.B.3c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use the properties of exponents to transform expressions for exponential functions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSA-SSE.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "math", "title": "Sequences and Series", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Build a function that models a relationship between two quantities", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Write a function that describes a relationship between two quantities", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "math", "title": "Advanced Functions and Transformations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.A.1a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Determine an explicit expression, a recursive process, or steps for calculation from a context.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.A.1b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Combine standard function types using arithmetic operations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.A.1c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Compose functions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Build new functions from existing functions", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find inverse functions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B.4a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B.4b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Verify by composition that one function is the inverse of another.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B.4c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B.4d", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Produce an invertible function from a non-invertible function by restricting the domain.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-BF.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "math", "title": "Logarithmic Functions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand the concept of a function and use function notation", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "math", "title": "Introduction to Functions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Interpret functions that arise in applications in terms of the context", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSF-IF.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. 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working with typographic grid systems based on ratios).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSG-SRT.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand similarity in terms of similarity transformations", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSG-SRT.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Verify experimentally the properties of dilations given by a center and a scale factor:", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSG-SRT.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "math", "title": "Right Triangle Trigonometry", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSG-SRT.D", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Apply trigonometry to general triangles", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSG-SRT.D.10", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Prove the Laws of Sines and Cosines and use them to solve problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSG-SRT.D.11", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSG-SRT.D.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Perform arithmetic operations with complex numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Know there is a complex number i such that i\u00b2 = -1, and every complex number has the form a + bi with a and b real.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Complex Numbers", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use the relation i\u00b2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent complex numbers and their operations on the complex plane.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use complex numbers in polynomial identities and equations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Solve quadratic equations with real coefficients that have complex solutions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Extend polynomial identities to the complex numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-CN.C.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-Q.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Reason quantitatively and use units to solve problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-Q.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-Q.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Define appropriate quantities for the purpose of descriptive modeling.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-Q.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-RN.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Extend the properties of exponents to rational exponents.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-RN.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-RN.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Rewrite expressions involving radicals and rational exponents using the properties of exponents.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "math", "title": "Radical Expressions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-RN.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use properties of rational and irrational numbers.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-RN.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Represent and model with vector quantities.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Vectors and Vector Operations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Vectors and Vector Operations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Solve problems involving velocity and other quantities that can be represented by vectors.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Perform operations on vectors.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Add and subtract vectors.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Vectors and Vector Operations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B.4a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B.4b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B.4c", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Multiply a vector by a scalar.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B.5a", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.B.5b", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ? 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Perform operations on matrices and use matrices in applications.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C.10", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C.11", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C.12", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Work with 2 \u00d7 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "math", "title": "Matrices and Determinants", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Add, subtract, and multiply matrices of appropriate dimensions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSN-VM.C.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand independence and conditional probability and use them to interpret data", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (\"or,\" \"and,\" \"not\").", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "math", "title": "Combinatorics and Probability", "relation": "reference" }, { "grade": "12th", "subject": "math", "title": "Mathematical Modeling", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.A.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Use the rules of probability to compute probabilities of compound events in a uniform probability model", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.B.7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), and interpret the answer in terms of the model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.B.8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-CP.B.9", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "(+) Use permutations and combinations to compute probabilities of compound events and solve problems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Understand and evaluate random processes underlying statistical experiments", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Understand statistics as a process for making inferences about population parameters based on a random sample from that population.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "math", "title": "Probability and Statistics", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Make inferences and justify conclusions from sample surveys, experiments, and observational studies", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.B.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.B.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Hypothesis Testing", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-IC.B.6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Evaluate reports based on data.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-ID.A", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Summarize, represent, and interpret data on a single count or measurement variable", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-ID.A.1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Represent data with plots on the real number line (dot plots, histograms, and box plots).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Statistics: Normal Distribution", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-ID.A.2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Statistics: Normal Distribution", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-ID.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-ID.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "math", "title": "Statistics: Normal Distribution", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-ID.B", "framework": "Common Core (CCSS)", "record_type": "cluster", "statement": "Summarize, represent, and interpret data on two categorical and quantitative variables", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.HSS-ID.B.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 84817, 84821, 84823, 84826, 84831, 84834, 84839, 84840, 84842, 84844, 84846, 84848, 84850, 84852, 84857, 84863, 84867, 84874, 84875, 84876, 84880, 84881, 84884, 84886, 84887, 84890, 84894, 84905, 84907, 84910, 84911, 84915, 84916, 84917 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.K.OA.A.3", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.K.OA.A.4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Content.K.OA.A.5", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Fluently add and subtract within 5.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [ 84818, 84829, 84830, 84838, 84860, 84862, 84865, 84866, 84869, 84877, 84900, 84903, 84904, 84924 ], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Practice.MP1", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Make sense of problems and persevere in solving them.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Practice.MP2", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Reason abstractly and quantitatively.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Practice.MP4", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Model with mathematics.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Practice.MP6", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Attend to precision.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Practice.MP7", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Look for and make use of structure.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "CCSS.Math.Practice.MP8", "framework": "Common Core (CCSS)", "record_type": "standard or substandard", "statement": "Look for and express regularity in repeated reasoning.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.thecorestandards.org/Math/" }, { "state": "DC", "state_framework_code": "K-PS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct an investigation to compare the effects of different strengths or different directions of pushes and pulls on the motion of an object.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "K-PS3-2", "title": "Build shade for a sunny spot", "grade": "K", "lesson_id": 283, "lesson_title": "Sunlight and Warmth", "url": "/science-projects/k-ps3-2.html", "time": "Two 20-minute sessions on a suitable day", "practice": "Designing solutions", "idea": "Sunlight warms Earth materials", "crosscutting": "Cause and effect", "deliverable": "Before/after drawings, warming record and improved shade structure.", "boundary": "Keep the task qualitative and focused on building a structure that reduces warming.", "standard_source": "https://www.nextgenscience.org/pe/k-ps3-2-energy", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "K-LS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use observations to describe patterns of what plants and animals (including humans) need to survive.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "1st", "subject": "science", "title": "Animal Survival Needs", "relation": "review" }, { "grade": "K", "subject": "science", "title": "Needs of Living Things", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "K-ESS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use and share observations of local weather conditions to describe patterns over time.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "K", "subject": "science", "title": "Weather Patterns", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "K-ESS2-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an argument supported by evidence for how plants and animals (including humans) can change the environment to meet their needs.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "K-ESS2-2", "title": "How living things change their surroundings", "grade": "K", "lesson_id": 274, "lesson_title": "Needs of Living Things", "url": "/science-projects/k-ess2-2.html", "time": "Two 20-minute sessions", "practice": "Argument from evidence", "idea": "Organisms can change places to meet needs", "crosscutting": "Systems and system models", "deliverable": "A labeled before/after drawing and oral or written evidence-based claim.", "boundary": "Assess an evidence-supported explanation of an organism changing its environment, not detailed ecosystem chemistry.", "standard_source": "https://www.nextgenscience.org/pe/k-ess2-2-earths-systems", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "K-ESS3-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a model to represent the relationship between the needs of different plants or animals (including humans) and the places they live.", "mapping_basis": "DC agency explicitly links to this national framework; 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This activity is not a live forecast or a replacement for official instructions.", "standard_source": "https://www.nextgenscience.org/pe/k-ess3-2-earth-and-human-activity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "K-ESS3-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Communicate solutions that will reduce the impact of humans on the land, water, air, and/or other living things in the local environment.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "K", "subject": "science", "title": "Reducing Our Impact on Earth", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "1-PS4-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct investigations to provide evidence that vibrating materials can make sound and that sound can make materials vibrate.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "1st", "subject": "science", "title": "Sound and Vibrations", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "1-PS4-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Make observations to construct an evidence-based account that objects can be seen only when illuminated.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "1st", "subject": "science", "title": "Light and Shadows", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "1-PS4-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct an investigation to determine the effect of placing objects made with different materials in the path of a beam of light.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Speed and Collisions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-PS3-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply scientific ideas to design, test, and refine a device that converts energy from one form to another.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Engineering: Energy Solutions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-PS4-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model of waves to describe patterns in terms of amplitude and wavelength and that waves can cause objects to move.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Waves: Light and Sound", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-PS4-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model to describe that light reflecting from objects and entering the eye allows objects to be seen.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Waves: Light and Sound", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-PS4-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Generate and compare multiple solutions that use patterns to transfer information.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "4-PS4-3", "title": "Send a picture using a pattern", "grade": "4th", "lesson_id": 874, "lesson_title": "Waves: Light and Sound", "url": "/science-projects/4-ps4-3.html", "time": "Two 35-minute sessions", "practice": "Generating and comparing design solutions", "idea": "Patterns can encode information for transmission", "crosscutting": "Patterns", "deliverable": "Two code designs, reconstructed messages, error records and a justified revision.", "boundary": "Compare multiple pattern-based solutions; memorizing Morse code alone does not complete the performance.", "standard_source": "https://www.nextgenscience.org/pe/4-ps4-3-waves-and-their-applications-technologies-information-transfer", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-LS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an argument that plants and animals have internal and external structures that function to support survival, growth, behavior, and reproduction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Plant and Animal Structure", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-LS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a model to describe that animals receive different types of information through their senses, process the information in their brain, and respond to the information in different ways.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Animal Senses and Information", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-ESS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Identify evidence from patterns in rock formations and fossils in rock layers to support an explanation for changes in a landscape over time.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Earth's Changing Surface", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-ESS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Make observations and/or measurements to provide evidence of the effects of weathering or the rate of erosion by water, ice, wind, or vegetation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Weathering and Erosion", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-ESS2-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Analyze and interpret data from maps to describe patterns of Earth\u2019s features.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Earth's Changing Surface", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-ESS3-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Obtain and combine information to describe that energy and fuels are derived from natural resources and that their uses affect the environment.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "4th", "subject": "science", "title": "Natural Resources", "relation": "reference" }, { "grade": "4th", "subject": "science", "title": "Renewable vs Non-Renewable Energy", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "4-ESS3-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Generate and compare multiple solutions to reduce the impacts of natural Earth processes on humans.", "mapping_basis": "DC agency explicitly links to this national framework; 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This unit uses flooding and compares impacts rather than forecasting a real event.", "standard_source": "https://www.nextgenscience.org/pe/4-ess3-2-earth-and-human-activity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "5-PS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model to describe that matter is made of particles too small to be seen.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "science", "title": "Properties of Matter", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "5-PS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Measure and graph quantities to provide evidence that regardless of the type of change that occurs when heating, cooling, or mixing substances, the total weight of matter is conserved.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "science", "title": "Chemical Reactions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "5-PS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Support an argument that the gravitational force exerted by Earth on objects is directed down.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "5-PS2-1", "title": "What does down mean around a round Earth?", "grade": "5th", "lesson_id": 1036, "lesson_title": "Stars and the Solar System", "url": "/science-projects/5-ps2-1.html", "time": "One 45-minute session", "practice": "Argument from evidence", "idea": "Earth\u2019s gravitational force points toward its center", "crosscutting": "Cause and effect", "deliverable": "A three-location model and evidence-based explanation.", "boundary": "Do not require a mathematical gravitational-force equation at this grade.", "standard_source": "https://www.nextgenscience.org/pe/5-ps2-1-motion-and-stability-forces-and-interactions", "status": "Project provided; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "science", "title": "Stars and the Solar System", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "5-ESS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Represent data in graphical displays to reveal patterns of daily changes in length and direction of shadows, day and night, and the seasonal appearance of some stars in the night sky.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "science", "title": "Stars and the Solar System", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "5-ESS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model using an example to describe ways the geosphere, biosphere, hydrosphere, and/or atmosphere interact.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "science", "title": "Engineering: Protecting Resources", "relation": "reference" }, { "grade": "5th", "subject": "science", "title": "Human Impact on Environment", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "3-5-ETS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Define a simple design problem reflecting a need or a want that includes specified criteria for success and constraints on materials, time, or cost.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "3rd", "subject": "science", "title": "Engineering Design Process", "relation": "reference" }, { "grade": "5th", "subject": "science", "title": "Engineering: Protecting Resources", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "3-5-ETS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Generate and compare multiple possible solutions to a problem based on how well each is likely to meet the criteria and constraints of the problem.", "mapping_basis": "DC agency explicitly links to this national framework; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "science", "title": "Atoms and the Periodic Table", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Analyze and interpret data on the properties of substances before and after the substances interact to determine if a chemical reaction has occurred.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "science", "title": "Chemical Reactions", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS1-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Gather and make sense of information to describe that synthetic materials come from natural resources and impact society.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-PS1-3", "title": "Trace a plastic back to natural resources", "grade": "7th", "lesson_id": 1321, "lesson_title": "Chemical Reactions", "url": "/science-projects/ms-ps1-3.html", "time": "Two 45-minute sessions", "practice": "Obtaining, evaluating and communicating information", "idea": "Synthetic materials arise from chemical processing of natural resources", "crosscutting": "Structure and function", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use qualitative molecular models. Industrial reaction details and unsafe synthesis are not required.", "standard_source": "https://www.nextgenscience.org/pe/ms-ps1-3-matter-and-its-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS1-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-PS1-4", "title": "Model particles while a substance warms", "grade": "6th", "lesson_id": 1192, "lesson_title": "Thermal Energy Transfer", "url": "/science-projects/ms-ps1-4.html", "time": "Two 45-minute sessions", "practice": "Developing and using models", "idea": "Thermal energy affects particle motion and state", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use qualitative particle models; no gas-law calculations or detailed intermolecular mechanisms are required.", "standard_source": "https://www.nextgenscience.org/pe/ms-ps1-4-matter-and-its-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS1-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop and use a model to describe how the total number of atoms does not change in a chemical reaction and thus mass is conserved.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "science", "title": "Conservation of Mass", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS1-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Undertake a design project to construct, test, and modify a device that either releases or absorbs thermal energy by chemical processes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-PS1-6", "title": "Improve a cooling reaction device", "grade": "7th", "lesson_id": 1321, "lesson_title": "Chemical Reactions", "url": "/science-projects/ms-ps1-6.html", "time": "Three 45-minute sessions", "practice": "Constructing explanations and designing solutions", "idea": "Chemical processes can absorb energy", "crosscutting": "Energy and matter", "deliverable": "Approved plan, timed trial table, energy model and tested redesign.", "boundary": "Teacher-supervised small-scale household chemistry only. No tasting, skin application or sealed gas-producing devices.", "standard_source": "https://www.nextgenscience.org/pe/ms-ps1-6-matter-and-its-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply Newton\u2019s Third Law to design a solution to a problem involving the motion of two colliding objects.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "science", "title": "Forces and Newton's Laws", "relation": "reference" }, { "grade": "8th", "subject": "science", "title": "Motion and Forces", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS2-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan an investigation to provide evidence that the change in an object\u2019s motion depends on the sum of the forces on the object and the mass of the object.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "science", "title": "Forces and Newton's Laws", "relation": "reference" }, { "grade": "8th", "subject": "science", "title": "Motion and Forces", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS2-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Ask questions about data to determine the factors that affect the strength of electric and magnetic forces.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-PS2-3", "title": "Ask testable questions about magnetic force", "grade": "7th", "lesson_id": 1345, "lesson_title": "Forces and Newton's Laws", "url": "/science-projects/ms-ps2-3.html", "time": "Two 45-minute sessions", "practice": "Asking questions", "idea": "Magnetic force strength depends on conditions", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "No student mains electricity or high-current coils. This task develops questions from data; any apparatus follow-up is teacher-operated.", "standard_source": "https://www.nextgenscience.org/pe/ms-ps2-3-motion-and-stability-forces-and-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS2-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-PS2-4", "title": "Make a case for gravitational attraction", "grade": "8th", "lesson_id": 1471, "lesson_title": "Motion and Forces", "url": "/science-projects/ms-ps2-4.html", "time": "Two 45-minute sessions", "practice": "Argument from evidence", "idea": "Gravity is attractive and depends on interacting masses", "crosscutting": "Systems and system models", "deliverable": "An evidence record, explanation and revision.", "boundary": "No Newton or Kepler formula calculations at this middle-school performance expectation.", "standard_source": "https://www.nextgenscience.org/pe/ms-ps2-4-motion-and-stability-forces-and-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS2-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-PS2-5", "title": "Find evidence of a noncontact field", "grade": "8th", "lesson_id": 1477, "lesson_title": "Electromagnetic Spectrum", "url": "/science-projects/ms-ps2-5.html", "time": "Two 45-minute sessions", "practice": "Planning and carrying out investigations", "idea": "Fields permit noncontact interactions", "crosscutting": "Cause and effect", "deliverable": "Investigation plan, actual observations and annotated field model.", "boundary": "Use large enclosed classroom magnets only; keep away from medical devices and follow school guidance. No loose powerful magnets or electric shock demonstrations.", "standard_source": "https://www.nextgenscience.org/pe/ms-ps2-5-motion-and-stability-forces-and-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS3-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct and interpret graphical displays of data to describe the relationships of kinetic energy to the mass of an object and to the speed of an object.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "science", "title": "Kinetic and Potential Energy", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS3-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model to describe that when the arrangement of objects interacting at a distance changes, different amounts of potential energy are stored in the system.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "science", "title": "Kinetic and Potential Energy", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS3-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply scientific principles to design, construct, and test a device that either minimizes or maximizes thermal energy transfer.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "science", "title": "Thermal Energy Transfer", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS3-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan an investigation to determine the relationships among the energy transferred, the type of matter, the mass, and the change in the average kinetic energy of the particles as measured by the temperature of the sample.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "science", "title": "Thermal Energy Transfer", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS3-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct, use, and present arguments to support the claim that when the kinetic energy of an object changes, energy is transferred to or from the object.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-PS3-5", "title": "Track energy when a moving object slows", "grade": "8th", "lesson_id": 1474, "lesson_title": "Kinetic and Potential Energy", "url": "/science-projects/ms-ps3-5.html", "time": "Two 45-minute sessions", "practice": "Argument from evidence", "idea": "Changing kinetic energy accompanies energy transfer", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Qualitative energy arguments only; no kinetic-energy formulas required.", "standard_source": "https://www.nextgenscience.org/pe/ms-ps3-5-energy", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS4-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical representations to describe a simple model for waves that includes how the amplitude of a wave is related to the energy in a wave.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "science", "title": "Properties of Waves", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS4-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop and use a model to describe that waves are reflected, absorbed, or transmitted through various materials.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "6th", "subject": "science", "title": "Properties of Waves", "relation": "reference" }, { "grade": "8th", "subject": "science", "title": "Electromagnetic Spectrum", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-PS4-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Integrate qualitative scientific and technical information to support the claim that digitized signals are a more reliable way to encode and transmit information than analog signals.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "8th", "subject": "science", "title": "Electromagnetic Spectrum", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-LS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Conduct an investigation to provide evidence that living things are made of cells; either one cell or many different numbers and types of cells.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "science", "title": "Plant and Animal Cells", "relation": "enrichment" }, { "grade": "6th", "subject": "science", "title": "Cell Structure and Function", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-LS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop and use a model to describe the function of a cell as a whole and ways the parts of cells contribute to the function.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "5th", "subject": "science", "title": "Plant and Animal Cells", "relation": "enrichment" }, { "grade": "6th", "subject": "science", "title": "Cell Structure and Function", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-LS1-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use argument supported by evidence for how the body is a system of interacting subsystems composed of groups of cells.", "mapping_basis": "DC agency explicitly links to this national framework; 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detailed reproductive anatomy or molecular pathways are not required.", "standard_source": "https://www.nextgenscience.org/pe/ms-ls1-4-molecules-organisms-structures-and-processes", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-LS1-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct a scientific explanation based on evidence for how environmental and genetic factors influence the growth of organisms.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "MS-LS1-5", "title": "Separate inherited and environmental growth factors", "grade": "7th", "lesson_id": 1327, "lesson_title": "Genetics and Heredity", "url": "/science-projects/ms-ls1-5.html", "time": "Two 45-minute sessions", "practice": "Constructing explanations", "idea": "Genetic and environmental factors influence growth", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "No gene regulation, biochemical mechanisms or claims about human group differences.", "standard_source": "https://www.nextgenscience.org/pe/ms-ls1-5-molecules-organisms-structures-and-processes", "status": "Project provided; 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identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "science", "title": "Engineering: Optimizing Design", "relation": "reference" }, { "grade": "8th", "subject": "science", "title": "Engineering: Data-Driven Design", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "MS-ETS1-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model to generate data for iterative testing and modification of a proposed object, tool, or process such that an optimal design can be achieved.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "7th", "subject": "science", "title": "Engineering: Optimizing Design", "relation": "reference" }, { "grade": "8th", "subject": "science", "title": "Engineering: Data-Driven Design", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use the periodic table as a model to predict the relative properties of elements based on the patterns of electrons in the outermost energy level of atoms.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Organic Chemistry Basics", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Organic Chemistry", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "Atomic Structure", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "Chemical Bonding", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct and revise an explanation for the outcome of a simple chemical reaction based on the outermost electron states of atoms, trends in the periodic table, and knowledge of the patterns of chemical properties.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Organic Chemistry Basics", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Organic Chemistry", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "Chemical Bonding", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct an investigation to gather evidence to compare the structure of substances at the bulk scale to infer the strength of electrical forces between particles.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS1-3", "title": "Infer particle attractions from bulk properties", "grade": "9th", "lesson_id": 1645, "lesson_title": "Chemical Bonding", "url": "/science-projects/hs-ps1-3.html", "time": "Three 45-minute sessions", "practice": "Planning and carrying out investigations", "idea": "Bulk properties reflect electrical interactions among particles", "crosscutting": "Patterns", "deliverable": "An evidence record, explanation and revision.", "boundary": "No hazardous heating or student solvent handling without teacher approval. Do not infer exact force strengths from a single bulk property.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps1-3-matter-and-its-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model to illustrate that the release or absorption of energy from a chemical reaction system depends upon the changes in total bond energy.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Energy in Chemical Processes", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply scientific principles and evidence to provide an explanation about the effects of changing the temperature or concentration of the reacting particles on the rate at which a reaction occurs.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS1-5", "title": "Explain temperature and concentration effects on rate", "grade": "10th", "lesson_id": 1771, "lesson_title": "Chemical Reactions and Stoichiometry", "url": "/science-projects/hs-ps1-5.html", "time": "Two 45-minute sessions", "practice": "Constructing explanations", "idea": "Reaction rates depend on collisions and particle energy", "crosscutting": "Patterns", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use simple two-reactant comparisons; do not require derivation of a complex rate law.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps1-5-matter-and-its-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Refine the design of a chemical system by specifying a change in conditions that would produce increased amounts of products at equilibrium.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS1-6", "title": "Refine a reversible-reaction process", "grade": "10th", "lesson_id": 1771, "lesson_title": "Chemical Reactions and Stoichiometry", "url": "/science-projects/hs-ps1-6.html", "time": "Two 45-minute sessions", "practice": "Constructing explanations and designing solutions", "idea": "Equilibrium responds to changed conditions", "crosscutting": "Stability and change", "deliverable": "An evidence record, explanation and revision.", "boundary": "Qualitative equilibrium reasoning; do not require equilibrium-constant calculations.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps1-6-matter-and-its-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-7", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical representations to support the claim that atoms, and therefore mass, are conserved during a chemical reaction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Chemical Reactions and Stoichiometry", "relation": "reference" }, { "grade": "10th", "subject": "science", "title": "The Mole Concept", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS1-8", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop models to illustrate the changes in the composition of the nucleus of the atom and the energy released during the processes of fission, fusion, and radioactive decay.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Nuclear Chemistry", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Analyze data to support the claim that Newton\u2019s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Forces and Momentum", "relation": "reference" }, { "grade": "11th", "subject": "science", "title": "Kinematics and Motion", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "Newton's Laws of Motion", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS2-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical representations to support the claim that the total momentum of a system of objects is conserved when there is no net force on the system.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Forces and Momentum", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS2-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply scientific and engineering ideas to design, evaluate, and refine a device that minimizes the force on a macroscopic object during a collision.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS2-3", "title": "Design a cushion that lowers collision force", "grade": "11th", "lesson_id": 1924, "lesson_title": "Forces and Momentum", "url": "/science-projects/hs-ps2-3.html", "time": "Three 45-minute sessions", "practice": "Constructing explanations and designing solutions", "idea": "Momentum change relates force and interaction time", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "Low-energy classroom models only. No people, raw eggs, high drops or testing of protective equipment on bodies.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps2-3-motion-and-stability-forces-and-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS2-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical representations of Newton\u2019s Law of Gravitation and Coulomb\u2019s Law to describe and predict the gravitational and electrostatic forces between objects.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS2-4", "title": "Compare gravitational and electric force laws", "grade": "11th", "lesson_id": 1933, "lesson_title": "Electricity and Magnetism", "url": "/science-projects/hs-ps2-4.html", "time": "Two 45-minute sessions", "practice": "Using mathematics and computational thinking", "idea": "Gravitational and electric forces follow quantitative relationships", "crosscutting": "Patterns", "deliverable": "An evidence record, explanation and revision.", "boundary": "Two-object algebraic models; no calculus or many-body derivations required.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps2-4-motion-and-stability-forces-and-interactions", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS2-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct an investigation to provide evidence that an electric current can produce a magnetic field and that a changing magnetic field can produce an electric current.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Electricity and Magnetism", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS2-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Communicate scientific and technical information about why the molecular-level structure is important in the functioning of designed materials.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Electricity and Magnetism", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS3-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Create a computational model to calculate the change in the energy of one component in a system when the change in energy of the other component(s) and energy flows in and out of the system are known.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Energy Conservation", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS3-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop and use models to illustrate that energy at the macroscopic scale can be accounted for as a combination of energy associated with the motion of particles (objects) and energy associated with the relative position of particles (objects).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS3-2", "title": "Connect visible energy with microscopic motion", "grade": "11th", "lesson_id": 1927, "lesson_title": "Energy Conservation", "url": "/science-projects/hs-ps3-2.html", "time": "Two 45-minute sessions", "practice": "Developing and using models", "idea": "Energy can be modeled as motion and relative position", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use conceptual models rather than microscopic force calculations.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps3-2-energy", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS3-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Design, build, and refine a device that works within given constraints to convert one form of energy into another form of energy.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS3-3", "title": "Build and refine a small energy converter", "grade": "11th", "lesson_id": 1927, "lesson_title": "Energy Conservation", "url": "/science-projects/hs-ps3-3.html", "time": "Three 45-minute sessions", "practice": "Constructing explanations and designing solutions", "idea": "Devices convert energy between forms", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Low loads, no mains electricity, sharp tools or elevated falling weights.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps3-3-energy", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS3-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct an investigation to provide evidence that the transfer of thermal energy when two components of different temperature are combined within a closed system results in a more uniform energy distribution among the components in the system (second law of thermodynamics).", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "science", "title": "Thermodynamics", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS3-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop and use a model of two objects interacting through electric or magnetic fields to illustrate the forces between objects and the changes in energy of the objects due to the interaction.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS3-5", "title": "Model fields and changes in potential energy", "grade": "11th", "lesson_id": 1933, "lesson_title": "Electricity and Magnetism", "url": "/science-projects/hs-ps3-5.html", "time": "Two 45-minute sessions", "practice": "Developing and using models", "idea": "Fields connect force and stored interaction energy", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "Qualitative two-object field and energy models; no potential integrals.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps3-5-energy", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS4-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical representations to support a claim regarding relationships among the frequency, wavelength, and speed of waves traveling in various media.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Electromagnetic Radiation", "relation": "reference" }, { "grade": "11th", "subject": "science", "title": "Waves and Optics", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS4-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate questions about the advantages of using digital transmission and storage of information.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS4-2", "title": "Test a claim about digital information", "grade": "11th", "lesson_id": 1930, "lesson_title": "Waves and Optics", "url": "/science-projects/hs-ps4-2.html", "time": "Two 45-minute sessions", "practice": "Asking questions and evaluating claims", "idea": "Digital information offers conditional transmission and storage advantages", "crosscutting": "Stability and change", "deliverable": "An evidence record, explanation and revision.", "boundary": "Conceptual and simple numerical coding models; detailed communications circuitry is not required.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps4-2-waves-and-their-applications-technologies-information-transfer", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS4-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate the claims, evidence, and reasoning behind the idea that electromagnetic radiation can be described either by a wave model or a particle model, and that for some situations one model is more useful than the other.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Electromagnetic Radiation", "relation": "reference" }, { "grade": "11th", "subject": "science", "title": "Waves and Optics", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Quantum Mechanics Introduction", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS4-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate the validity and reliability of claims in published materials of the effects that different frequencies of electromagnetic radiation have when absorbed by matter.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS4-4", "title": "Evaluate claims about absorbed electromagnetic energy", "grade": "10th", "lesson_id": 1780, "lesson_title": "Electromagnetic Radiation", "url": "/science-projects/hs-ps4-4.html", "time": "Two 45-minute sessions", "practice": "Obtaining, evaluating and communicating information", "idea": "Electromagnetic absorption can affect matter differently across frequencies", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "Qualitative evaluations only; no radiation exposure experiments, medical advice or unsupported safety thresholds.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps4-4-waves-and-their-applications-technologies-information-transfer", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-PS4-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Communicate technical information about how some technological devices use the principles of wave behavior and wave interactions with matter to transmit and capture information and energy.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-PS4-5", "title": "Explain how a fiber-optic link carries information", "grade": "11th", "lesson_id": 1930, "lesson_title": "Waves and Optics", "url": "/science-projects/hs-ps4-5.html", "time": "Two 45-minute sessions", "practice": "Obtaining, evaluating and communicating information", "idea": "Wave behavior enables information technologies", "crosscutting": "Structure and function", "deliverable": "An evidence record, explanation and revision.", "boundary": "Conceptual device explanations; no fiber fabrication or laser experiments.", "standard_source": "https://www.nextgenscience.org/pe/hs-ps4-5-waves-and-their-applications-technologies-information-transfer", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an explanation based on evidence for how the structure of DNA determines the structure of proteins, which carry out the essential functions of life through systems of specialized cells.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Molecular Biology", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Biochemistry: Proteins and Enzymes", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "DNA Structure and Replication", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop and use a model to illustrate the hierarchical organization of interacting systems that provide specific functions within multicellular organisms.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Human Body Systems", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Neuroscience Basics", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "Cell Biology and Organelles", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS1-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct an investigation to provide evidence that feedback mechanisms maintain homeostasis.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Human Body Systems", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS1-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a model to illustrate the role of cellular division (mitosis) and differentiation in producing and maintaining complex organisms.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "science", "title": "Mitosis and Cell Division", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS1-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a model to illustrate how photosynthesis transforms light energy into stored chemical energy.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS1-5", "title": "Model light energy becoming stored chemical energy", "grade": "11th", "lesson_id": 1939, "lesson_title": "Molecular Biology", "url": "/science-projects/hs-ls1-5.html", "time": "Two 45-minute sessions", "practice": "Developing and using models", "idea": "Photosynthesis transforms light energy into chemical energy", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "No detailed light-reaction or Calvin-cycle sequence required.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls1-5-molecules-organisms-structures-and-processes", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS1-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct and revise an explanation based on evidence for how carbon, hydrogen, and oxygen from sugar molecules may combine with other elements to form amino acids and/or other large carbon-based molecules.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS1-6", "title": "Explain how food molecules become body materials", "grade": "12th", "lesson_id": 2080, "lesson_title": "Biochemistry: Proteins and Enzymes", "url": "/science-projects/hs-ls1-6.html", "time": "Two 45-minute sessions", "practice": "Constructing explanations", "idea": "Sugar-derived atoms combine with other elements to build molecules", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Focus on conserved elements and assembly; do not require identification of specific synthesis reactions or detailed macromolecular structures.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls1-6-molecules-organisms-structures-and-processes", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS1-7", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a model to illustrate that cellular respiration is a chemical process whereby the bonds of food molecules and oxygen molecules are broken and the bonds in new compounds are formed, resulting in a net transfer of energy.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS1-7", "title": "Account for matter and energy in cellular respiration", "grade": "11th", "lesson_id": 1939, "lesson_title": "Molecular Biology", "url": "/science-projects/hs-ls1-7.html", "time": "Two 45-minute sessions", "practice": "Developing and using models", "idea": "Respiration rearranges molecules and transfers energy", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Conceptual net models; detailed biochemical steps and exact ATP yields are not required.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls1-7-molecules-organisms-structures-and-processes", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical and/or computational representations to support explanations of factors that affect carrying capacity of ecosystems at different scales.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "science", "title": "Ecology: Population Dynamics", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical representations to support and revise explanations based on evidence about factors affecting biodiversity and populations in ecosystems of different scales.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "science", "title": "Ecology: Population Dynamics", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct and revise an explanation based on evidence for the cycling of matter and flow of energy in aerobic and anaerobic conditions.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS2-3", "title": "Compare energy release with and without oxygen", "grade": "11th", "lesson_id": 1942, "lesson_title": "Ecology and Sustainability", "url": "/science-projects/hs-ls2-3.html", "time": "Two 45-minute sessions", "practice": "Constructing explanations", "idea": "Organisms cycle matter and transfer energy under different oxygen conditions", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Conceptual comparisons; no detailed glycolysis, electron-transport or fermentation pathway memorization.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls2-3-ecosystems-interactions-energy-and-dynamics", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical representations to support claims for the cycling of matter and flow of energy among organisms in an ecosystem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS2-4", "title": "Balance an ecosystem\u2019s matter and energy budgets", "grade": "9th", "lesson_id": 1639, "lesson_title": "Ecology: Population Dynamics", "url": "/science-projects/hs-ls2-4.html", "time": "Two 45-minute sessions", "practice": "Using mathematics and computational thinking", "idea": "Matter and energy transfer among trophic levels", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use proportional reasoning; avoid universal efficiency rules or confusing energy units with matter mass.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls2-4-ecosystems-interactions-energy-and-dynamics", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model to illustrate the role of photosynthesis and cellular respiration in the cycling of carbon among the biosphere, atmosphere, hydrosphere, and geosphere.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS2-5", "title": "Connect photosynthesis and respiration across Earth\u2019s spheres", "grade": "11th", "lesson_id": 1942, "lesson_title": "Ecology and Sustainability", "url": "/science-projects/hs-ls2-5.html", "time": "Two 45-minute sessions", "practice": "Developing and using models", "idea": "Photosynthesis and respiration contribute to carbon cycling", "crosscutting": "Systems and system models", "deliverable": "An evidence record, explanation and revision.", "boundary": "Conceptual models across spheres; no complete biochemical pathway or numerical global budget required here.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls2-5-ecosystems-interactions-energy-and-dynamics", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate claims, evidence, and reasoning that the complex interactions in ecosystems maintain relatively consistent numbers and types of organisms in stable conditions, but changing conditions may result in a new ecosystem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Ecology and Sustainability", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-7", "framework": "NGSS", "record_type": "performance expectation", "statement": "Design, evaluate, and refine a solution for reducing the impacts of human activities on the environment and biodiversity.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Biodiversity and Conservation", "relation": "reference" }, { "grade": "11th", "subject": "science", "title": "Ecology and Sustainability", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS2-8", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate evidence for the role of group behavior on individual and species\u2019 chances to survive and reproduce.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS2-8", "title": "Evaluate whether larger hunting groups always do better", "grade": "9th", "lesson_id": 1639, "lesson_title": "Ecology: Population Dynamics", "url": "/science-projects/hs-ls2-8.html", "time": "Two 45-minute sessions", "practice": "Argument from evidence", "idea": "Group behaviors can influence survival and reproduction", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use empirical evidence; do not substitute fictional performance percentages for published observations.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls2-8-ecosystems-interactions-energy-and-dynamics", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS3-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Ask questions to clarify relationships about the role of DNA and chromosomes in coding the instructions for characteristic traits passed from parents to offspring.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Genetics: Beyond Mendel", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Biotechnology and Ethics", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "DNA Structure and Replication", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS3-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Make and defend a claim based on evidence that inheritable genetic variations may result from (1) new genetic combinations through meiosis, (2) viable errors occurring during replication, and/or (3) mutations caused by environmental factors.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Genetics: Beyond Mendel", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "Genetics: Mendel's Laws", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS3-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply concepts of statistics and probability to explain the variation and distribution of expressed traits in a population.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "science", "title": "Statistical Analysis in Science", "relation": "reference" }, { "grade": "9th", "subject": "science", "title": "Genetics: Mendel's Laws", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS4-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Communicate scientific information that common ancestry and biological evolution are supported by multiple lines of empirical evidence.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS4-1", "title": "Build an ancestry argument from several kinds of evidence", "grade": "9th", "lesson_id": 1636, "lesson_title": "Evolution and Natural Selection", "url": "/science-projects/hs-ls4-1.html", "time": "Two 45-minute sessions", "practice": "Obtaining, evaluating and communicating information", "idea": "Common ancestry is supported by multiple evidence lines", "crosscutting": "Patterns", "deliverable": "An evidence record, explanation and revision.", "boundary": "Multiple lines of empirical evidence; toy DNA alone does not fulfill the task.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls4-1-biological-evolution-unity-and-diversity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS4-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an explanation based on evidence that the process of evolution primarily results from four factors: (1) the potential for a species to increase in number, (2) the heritable genetic variation of individuals in a species due to mutation and sexual reproduction, (3) competition for limited resources, and (4) the proliferation of those organisms that are better able to survive and reproduce in the environment.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "science", "title": "Evolution and Natural Selection", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS4-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply concepts of statistics and probability to support explanations that organisms with an advantageous heritable trait tend to increase in proportion to organisms lacking this trait.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS4-3", "title": "Compare trait distributions before and after selection", "grade": "9th", "lesson_id": 1636, "lesson_title": "Evolution and Natural Selection", "url": "/science-projects/hs-ls4-3.html", "time": "Two 45-minute sessions", "practice": "Analyzing and interpreting data", "idea": "Selection changes trait distributions across generations", "crosscutting": "Patterns", "deliverable": "An evidence record, explanation and revision.", "boundary": "Basic statistical comparisons; no Hardy\u2013Weinberg calculations or allele-frequency derivations.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls4-3-biological-evolution-unity-and-diversity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS4-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an explanation based on evidence for how natural selection leads to adaptation of populations.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "science", "title": "Evolution and Natural Selection", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS4-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate the evidence supporting claims that changes in environmental conditions may result in (1) increases in the number of individuals of some species, (2) the emergence of new species over time, and (3) the extinction of other species.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS4-5", "title": "Evaluate three possible responses to environmental change", "grade": "10th", "lesson_id": 1789, "lesson_title": "Biodiversity and Conservation", "url": "/science-projects/hs-ls4-5.html", "time": "Two 45-minute sessions", "practice": "Argument from evidence", "idea": "Environmental changes can alter abundance, speciation and extinction", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use supported causal arguments, not claims that a single short observation proves speciation or extinction.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls4-5-biological-evolution-unity-and-diversity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-LS4-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Create or revise a simulation to test a solution to mitigate adverse impacts of human activity on biodiversity.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-LS4-6", "title": "Test a habitat solution with a population simulation", "grade": "10th", "lesson_id": 1789, "lesson_title": "Biodiversity and Conservation", "url": "/science-projects/hs-ls4-6.html", "time": "Three 45-minute sessions", "practice": "Using mathematics and computational thinking", "idea": "Human impacts and conservation solutions affect biodiversity", "crosscutting": "Systems and system models", "deliverable": "Saved scenario tables, a tested conservation proposal and a limitations assessment.", "boundary": "Original educational simulation, not a validated ecological forecast. Students must use and revise scenarios, not merely read a graph.", "standard_source": "https://www.nextgenscience.org/pe/hs-ls4-6-biological-evolution-unity-and-diversity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model based on evidence to illustrate the life span of the sun and the role of nuclear fusion in the sun\u2019s core to release energy that eventually reaches Earth in the form of radiation.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Astronomy: Stars and Galaxies", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an explanation of the Big Bang theory based on astronomical evidence of light spectra, motion of distant galaxies, and composition of matter in the universe.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Astronomy: Stars and Galaxies", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Astrophysics: Cosmology", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS1-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Communicate scientific ideas about the way stars, over their life cycle, produce elements.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS1-3", "title": "Explain how stars make and disperse elements", "grade": "11th", "lesson_id": 1948, "lesson_title": "Astronomy: Stars and Galaxies", "url": "/science-projects/hs-ess1-3.html", "time": "Two 45-minute sessions", "practice": "Obtaining, evaluating and communicating information", "idea": "Stellar evolution produces and distributes elements", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Details of all nucleosynthesis pathways are not assessed.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess1-3-earths-place-universe", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS1-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use mathematical or computational representations to predict the motion of orbiting objects in the solar system.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS1-4", "title": "Predict a two-body orbit mathematically", "grade": "11th", "lesson_id": 1948, "lesson_title": "Astronomy: Stars and Galaxies", "url": "/science-projects/hs-ess1-4.html", "time": "Two 45-minute sessions", "practice": "Using mathematics and computational thinking", "idea": "Orbital motion follows mathematical relationships", "crosscutting": "Scale, proportion and quantity", "deliverable": "An evidence record, explanation and revision.", "boundary": "Two bodies and algebra only; no calculus or many-body simulation.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess1-4-earths-place-universe", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS1-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate evidence of the past and current movements of continental and oceanic crust and the theory of plate tectonics to explain the ages of crustal rocks.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS1-5", "title": "Use crust ages to test plate-motion explanations", "grade": "11th", "lesson_id": 1945, "lesson_title": "Plate Tectonics and Earth History", "url": "/science-projects/hs-ess1-5.html", "time": "Two 45-minute sessions", "practice": "Argument from evidence", "idea": "Plate processes explain crust-age patterns", "crosscutting": "Patterns", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use crust-age evidence; do not present an invented transect as a real ocean survey.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess1-5-earths-place-universe", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS1-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Apply scientific reasoning and evidence from ancient Earth materials, meteorites, and other planetary surfaces to construct an account of Earth\u2019s formation and early history.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS1-6", "title": "Reconstruct early Earth from surviving evidence", "grade": "11th", "lesson_id": 1945, "lesson_title": "Plate Tectonics and Earth History", "url": "/science-projects/hs-ess1-6.html", "time": "Two 45-minute sessions", "practice": "Constructing explanations", "idea": "Surviving records constrain Earth\u2019s early history", "crosscutting": "Stability and change", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use multiple lines of evidence; no required derivation of radiometric dating equations.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess1-6-earths-place-universe", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS2-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model to illustrate how Earth\u2019s internal and surface processes operate at different spatial and temporal scales to form continental and ocean-floor features.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Plate Tectonics and Earth History", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS2-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Analyze geoscience data to make the claim that one change to Earth\u2019s surface can create feedbacks that cause changes to other Earth systems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Climate and Earth Systems", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS2-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a model based on evidence of Earth\u2019s interior to describe the cycling of matter by thermal convection.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "11th", "subject": "science", "title": "Plate Tectonics and Earth History", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS2-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a model to describe how variations in the flow of energy into and out of Earth\u2019s systems result in changes in climate.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Climate and Earth Systems", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS2-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Plan and conduct an investigation of the properties of water and its effects on Earth materials and surface processes.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS2-5", "title": "Investigate water\u2019s mechanical and chemical roles", "grade": "11th", "lesson_id": 1945, "lesson_title": "Plate Tectonics and Earth History", "url": "/science-projects/hs-ess2-5.html", "time": "Three 45-minute sessions", "practice": "Planning and carrying out investigations", "idea": "Water\u2019s properties influence Earth materials and processes", "crosscutting": "Structure and function", "deliverable": "An evidence record, explanation and revision.", "boundary": "Teacher-supervised household-scale materials only; no strong acids, hot liquids or sealed gas-producing containers.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess2-5-earths-systems", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS2-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Develop a quantitative model to describe the cycling of carbon among the hydrosphere, atmosphere, geosphere, and biosphere.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS2-6", "title": "Balance a four-reservoir carbon model", "grade": "10th", "lesson_id": 1792, "lesson_title": "Climate and Earth Systems", "url": "/science-projects/hs-ess2-6.html", "time": "Two 45-minute sessions", "practice": "Developing and using models", "idea": "Carbon cycles quantitatively among four Earth systems", "crosscutting": "Energy and matter", "deliverable": "An evidence record, explanation and revision.", "boundary": "Quantitative model required; clearly distinguish invented carbon units from measured global stocks.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess2-6-earths-systems", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS2-7", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an argument based on evidence about the simultaneous coevolution of Earth\u2019s systems and life on Earth.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS2-7", "title": "Explain a feedback between life and Earth", "grade": "10th", "lesson_id": 1792, "lesson_title": "Climate and Earth Systems", "url": "/science-projects/hs-ess2-7.html", "time": "Two 45-minute sessions", "practice": "Argument from evidence", "idea": "Life and Earth systems influence one another over time", "crosscutting": "Stability and change", "deliverable": "An evidence record, explanation and revision.", "boundary": "One well-supported coevolution example; a comprehensive account of all Earth\u2013biosphere mechanisms is not required.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess2-7-earths-systems", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS3-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Construct an explanation based on evidence for how the availability of natural resources, occurrence of natural hazards, and changes in climate have influenced human activity.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS3-1", "title": "Explain how Earth conditions influence a settlement", "grade": "12th", "lesson_id": 2086, "lesson_title": "Environmental Science and Policy", "url": "/science-projects/hs-ess3-1.html", "time": "Two 45-minute sessions", "practice": "Constructing explanations", "idea": "Earth conditions influence human activity", "crosscutting": "Cause and effect", "deliverable": "An evidence record, explanation and revision.", "boundary": "Explain evidence-based influences; do not make deterministic claims about communities.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess3-1-earth-and-human-activity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS3-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate competing design solutions for developing, managing, and utilizing energy and mineral resources based on cost-benefit ratios.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS3-2", "title": "Compare mineral-resource management choices", "grade": "12th", "lesson_id": 2086, "lesson_title": "Environmental Science and Policy", "url": "/science-projects/hs-ess3-2.html", "time": "Two 45-minute sessions", "practice": "Argument from evidence", "idea": "Resource choices involve scientific and societal tradeoffs", "crosscutting": "Stability and change", "deliverable": "An evidence record, explanation and revision.", "boundary": "Use explicit hypothetical units and criteria; no claim of a verified real-world lifecycle ranking.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess3-2-earth-and-human-activity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS3-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Create a computational simulation to illustrate the relationships among the management of natural resources, the sustainability of human populations, and biodiversity.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS3-3", "title": "Explore resource use, people and habitat together", "grade": "12th", "lesson_id": 2086, "lesson_title": "Environmental Science and Policy", "url": "/science-projects/hs-ess3-3.html", "time": "Three 45-minute sessions", "practice": "Using mathematics and computational thinking", "idea": "Resource use links human sustainability and biodiversity", "crosscutting": "Systems and system models", "deliverable": "Scenario tables, flow explanation and a qualified sustainability proposal.", "boundary": "Provided educational model; no claim of calibrated demographic or biodiversity prediction.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess3-3-earth-and-human-activity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS3-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate or refine a technological solution that reduces impacts of human activities on natural systems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "12th", "subject": "science", "title": "Environmental Science and Policy", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS3-5", "framework": "NGSS", "record_type": "performance expectation", "statement": "Analyze geoscience data and the results from global climate models to make an evidence-based forecast of the current rate of global or regional climate change and associated future impacts to Earth\u2019s systems.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS3-5", "title": "Compare observed warming with published projections", "grade": "10th", "lesson_id": 1792, "lesson_title": "Climate and Earth Systems", "url": "/science-projects/hs-ess3-5.html", "time": "Three 45-minute sessions", "practice": "Analyzing and interpreting data", "idea": "Geoscience observations and models inform climate projections", "crosscutting": "Stability and change", "deliverable": "An evidence record, explanation and revision.", "boundary": "One climate change\u2014global warming\u2014and its heat-related implications. Do not compare incompatible baselines as if identical.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess3-5-earth-and-human-activity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ESS3-6", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a computational representation to illustrate the relationships among Earth systems and how those relationships are being modified due to human activity.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ESS3-6", "title": "Interpret published models of connected Earth systems", "grade": "10th", "lesson_id": 1792, "lesson_title": "Climate and Earth Systems", "url": "/science-projects/hs-ess3-6.html", "time": "Two 45-minute sessions", "practice": "Using mathematics and computational thinking", "idea": "Human activities affect interactions among Earth systems", "crosscutting": "Systems and system models", "deliverable": "An evidence record, explanation and revision.", "boundary": "Assessment uses published scientific model results; running an original computational climate model is outside this expectation\u2019s boundary.", "standard_source": "https://www.nextgenscience.org/pe/hs-ess3-6-earth-and-human-activity", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ETS1-1", "framework": "NGSS", "record_type": "performance expectation", "statement": "Analyze a major global challenge to specify qualitative and quantitative criteria and constraints for solutions that account for societal needs and wants.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "9th", "subject": "science", "title": "Scientific Method and Inquiry", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ETS1-2", "framework": "NGSS", "record_type": "performance expectation", "statement": "Design a solution to a complex real-world problem by breaking it down into smaller, more manageable problems that can be solved through engineering.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Engineering: Testing Hypotheses", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ETS1-3", "framework": "NGSS", "record_type": "performance expectation", "statement": "Evaluate a solution to a complex real-world problem based on prioritized criteria and trade-offs that account for a range of constraints, including cost, safety, reliability, and aesthetics, as well as possible social, cultural, and environmental impacts.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [ { "grade": "10th", "subject": "science", "title": "Engineering: Testing Hypotheses", "relation": "reference" }, { "grade": "12th", "subject": "science", "title": "Senior Research Project", "relation": "reference" } ], "science_projects": [], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" }, { "state": "DC", "state_framework_code": "HS-ETS1-4", "framework": "NGSS", "record_type": "performance expectation", "statement": "Use a computer simulation to model the impact of proposed solutions to a complex real-world problem with numerous criteria and constraints on interactions within and between systems relevant to the problem.", "mapping_basis": "DC agency explicitly links to this national framework; identical framework code, not a claim of full lesson alignment.", "topic_references": [], "science_projects": [ { "code": "HS-ETS1-4", "title": "Simulate a constrained school water plan", "grade": "12th", "lesson_id": 2098, "lesson_title": "Senior Research Project", "url": "/science-projects/hs-ets1-4.html", "time": "Three 45-minute sessions", "practice": "Using mathematics and computational thinking", "idea": "Models can evaluate complex design solutions", "crosscutting": "Systems and system models", "deliverable": "Three or more scenario tables, constraint matrix, sensitivity test and design recommendation.", "boundary": "Original simplified engineering model; not a plumbing design, drinking-water recommendation or real budget.", "standard_source": "https://www.nextgenscience.org/pe/hs-ets1-4-engineering-design", "status": "Project provided; teacher assessment and full performance coverage not certified" } ], "writing_tasks": [], "math_component_question_ids": [], "full_instruction_and_assessment_coverage": "Not established", "canonical_source": "https://www.nextgenscience.org/sites/default/files/AllDCI.pdf" } ] }