{"system":{"system_id":"uk_england_nc","public_slug":"uk-england-nc","label":"England National Curriculum: Mathematics","official_source_urls":["https://www.gov.uk/government/publications/national-curriculum-in-england-mathematics-programmes-of-study/national-curriculum-in-england-mathematics-programmes-of-study","https://www.gov.uk/national-curriculum"]},"standards":[{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y1-number-compare","label":"Identify and represent numbers using objects and compare quantities.","public_slug":"y1-number-compare","route":"/math/standards/uk-england-nc/y1-number-compare","data_json_route":"/math/data/standards/uk-england-nc/y1-number-compare.json","data_markdown_route":"/math/data/standards/uk-england-nc/y1-number-compare.md","skill_count":1,"skill_ids":["count.compare.objects.to-20"],"crawler_summary":"UK-NC-Y1-number-compare maps to 1 AXIO Math Map 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sequences.","public_slug":"y2-patterns-sequences","route":"/math/standards/uk-england-nc/y2-patterns-sequences","data_json_route":"/math/data/standards/uk-england-nc/y2-patterns-sequences.json","data_markdown_route":"/math/data/standards/uk-england-nc/y2-patterns-sequences.md","skill_count":1,"skill_ids":["pattern.repeat.extend"],"crawler_summary":"UK-NC-Y2-patterns-sequences maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y3-fractions-recognise-use","label":"Recognise, find and write fractions of a discrete set of objects.","public_slug":"y3-fractions-recognise-use","route":"/math/standards/uk-england-nc/y3-fractions-recognise-use","data_json_route":"/math/data/standards/uk-england-nc/y3-fractions-recognise-use.json","data_markdown_route":"/math/data/standards/uk-england-nc/y3-fractions-recognise-use.md","skill_count":1,"skill_ids":["frac.fraction-of-set.basic"],"crawler_summary":"UK-NC-Y3-fractions-recognise-use maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y3-measure-capacity-volume","label":"Measure, compare, add and subtract volume/capacity.","public_slug":"y3-measure-capacity-volume","route":"/math/standards/uk-england-nc/y3-measure-capacity-volume","data_json_route":"/math/data/standards/uk-england-nc/y3-measure-capacity-volume.json","data_markdown_route":"/math/data/standards/uk-england-nc/y3-measure-capacity-volume.md","skill_count":1,"skill_ids":["measure.capacity-volume-liquid.measure"],"crawler_summary":"UK-NC-Y3-measure-capacity-volume maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y3-measure-mass","label":"Measure, compare, add and subtract mass.","public_slug":"y3-measure-mass","route":"/math/standards/uk-england-nc/y3-measure-mass","data_json_route":"/math/data/standards/uk-england-nc/y3-measure-mass.json","data_markdown_route":"/math/data/standards/uk-england-nc/y3-measure-mass.md","skill_count":1,"skill_ids":["measure.mass-weight.measure"],"crawler_summary":"UK-NC-Y3-measure-mass maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y3-statistics-interpret-present-data","label":"Interpret and present data using tables and diagrams.","public_slug":"y3-statistics-interpret-present-data","route":"/math/standards/uk-england-nc/y3-statistics-interpret-present-data","data_json_route":"/math/data/standards/uk-england-nc/y3-statistics-interpret-present-data.json","data_markdown_route":"/math/data/standards/uk-england-nc/y3-statistics-interpret-present-data.md","skill_count":1,"skill_ids":["data.tables.read"],"crawler_summary":"UK-NC-Y3-statistics-interpret-present-data maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y3-time-duration","label":"Tell and write time and estimate and read time with increasing accuracy.","public_slug":"y3-time-duration","route":"/math/standards/uk-england-nc/y3-time-duration","data_json_route":"/math/data/standards/uk-england-nc/y3-time-duration.json","data_markdown_route":"/math/data/standards/uk-england-nc/y3-time-duration.md","skill_count":1,"skill_ids":["measure.time.elapsed.cross-hour"],"crawler_summary":"UK-NC-Y3-time-duration maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y4-equivalence-balance","label":"Use inverse operations and equality relationships to solve missing-number statements.","public_slug":"y4-equivalence-balance","route":"/math/standards/uk-england-nc/y4-equivalence-balance","data_json_route":"/math/data/standards/uk-england-nc/y4-equivalence-balance.json","data_markdown_route":"/math/data/standards/uk-england-nc/y4-equivalence-balance.md","skill_count":1,"skill_ids":["prealg.equation.balance"],"crawler_summary":"UK-NC-Y4-equivalence-balance maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y4-number-sequences","label":"Recognise and describe number sequences and rules.","public_slug":"y4-number-sequences","route":"/math/standards/uk-england-nc/y4-number-sequences","data_json_route":"/math/data/standards/uk-england-nc/y4-number-sequences.json","data_markdown_route":"/math/data/standards/uk-england-nc/y4-number-sequences.md","skill_count":1,"skill_ids":["oa.input-output.tables"],"crawler_summary":"UK-NC-Y4-number-sequences maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y4-position-direction-grid","label":"Describe positions on a 2-D grid as coordinates.","public_slug":"y4-position-direction-grid","route":"/math/standards/uk-england-nc/y4-position-direction-grid","data_json_route":"/math/data/standards/uk-england-nc/y4-position-direction-grid.json","data_markdown_route":"/math/data/standards/uk-england-nc/y4-position-direction-grid.md","skill_count":1,"skill_ids":["geom.coordinate.solve-paths"],"crawler_summary":"UK-NC-Y4-position-direction-grid maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y5-geometry-3d-2d-reasoning","label":"Identify 3-D shapes from 2-D representations and reason about their properties.","public_slug":"y5-geometry-3d-2d-reasoning","route":"/math/standards/uk-england-nc/y5-geometry-3d-2d-reasoning","data_json_route":"/math/data/standards/uk-england-nc/y5-geometry-3d-2d-reasoning.json","data_markdown_route":"/math/data/standards/uk-england-nc/y5-geometry-3d-2d-reasoning.md","skill_count":1,"skill_ids":["geom.dimension.slices-basic"],"crawler_summary":"UK-NC-Y5-geometry-3d-2d-reasoning maps to 1 AXIO Math Map skill."},{"system_id":"uk_england_nc","system_slug":"uk-england-nc","system_label":"England National Curriculum: Mathematics","code":"UK-NC-Y5-number-place-value-million","label":"Read, write, order and compare numbers to at least 1,000,000.","public_slug":"y5-number-place-value-million","route":"/math/standards/uk-england-nc/y5-number-place-value-million","data_json_route":"/math/data/standards/uk-england-nc/y5-number-place-value-million.json","data_markdown_route":"/math/data/standards/uk-england-nc/y5-number-place-value-million.md","skill_count":1,"skill_ids":["nbt.large-numbers.to-million"],"crawler_summary":"UK-NC-Y5-number-place-value-million maps to 1 AXIO Math Map skill."}],"skills":[{"id":"count.compare.objects.to-20","slug":"compare-objects-to-20","domain":"count","title":"Comparing sets to 20","description":"Given two visible groups with at most 20 objects each, decide which group has more, fewer, or the same amount using matching, counting, or grouping.","status":"lab_ready","route":"/math/skills/count/compare-objects-to-20","data_json_route":"/math/data/skills/count/compare-objects-to-20.json","data_markdown_route":"/math/data/skills/count/compare-objects-to-20.md","hierarchy":{"skill_graph_node":"count.compare.objects.to-20","module_family":"module-family.count.quantity-comparison-order.v1","task_type":"task-type.quantity.visible-set-compare-to-20.v1","math_module":"math-module.count.compare.objects-to-20.quantity-compare.v1","task_surface":"quantity_compare_set","route_mode_bundle":"lab-or-draft-module-route","bank_row":"not_public"},"family_ref":"module-family.count.quantity-comparison-order.v1","family_slug":"count-quantity-comparison-order","family_name":"Quantity Comparison and Order Reasoning","standards":[{"system_id":"us_ccss","code":"CCSS.K.CC.C.6","label":"Identify whether the number of objects in one group is greater than, less than, or equal to another 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objects.","alignment_type":"direct","public_slug":"y3-fractions-recognise-use"}],"typical_mistakes":[],"preview_availability":"preview_unavailable","corpus_state":"proxy","crawler_summary":"Fractions of a set is an AXIO math skill in frac; public status is draft.","source_path":"ai/content/skills/frac/frac.fraction-of-set.basic.yaml","source_hash":"43f350b80179e1df"},{"id":"geom.coordinate.solve-paths","slug":"coordinate-solve-paths","domain":"geom","title":"Coordinate paths","description":"Use grid positions, ordered movement, and path constraints to trace a route that reaches a target without illegal gaps or 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accuracy.","alignment_type":"partial","public_slug":"y3-time-duration"}],"typical_mistakes":[],"preview_availability":"preview_unavailable","corpus_state":"proxy","crawler_summary":"Elapsed time across hours is an AXIO math skill in measure; public status is draft.","source_path":"ai/content/skills/measure/measure.time.elapsed.cross-hour.yaml","source_hash":"54045cc7a3f10d6e"},{"id":"nbt.large-numbers.to-million","slug":"large-numbers-to-million","domain":"nbt","title":"Large numbers to one million","description":"Read, write, and compare whole numbers up to one million using place value groups and evidence from digits or separators.","status":"draft","route":"/math/skills/nbt/large-numbers-to-million","data_json_route":"/math/data/skills/nbt/large-numbers-to-million.json","data_markdown_route":"/math/data/skills/nbt/large-numbers-to-million.md","hierarchy":{"skill_graph_node":"nbt.large-numbers.to-million","module_family":"module-family.nbt.base-ten-place-value.v1","task_type":"gap","math_module":"gap","task_surface":"gap","route_mode_bundle":"not_public","bank_row":"not_public"},"family_ref":"module-family.nbt.base-ten-place-value.v1","family_slug":"nbt-base-ten-place-value","family_name":"Base-Ten Place Value and Whole-Number Notation","standards":[{"system_id":"us_ccss","code":"CCSS.4.NBT.A.2","label":"Read and write multi-digit whole numbers and compare two multi-digit numbers.","alignment_type":"direct","public_slug":"4-nbt-a-2"},{"system_id":"uk_england_nc","code":"UK-NC-Y5-number-place-value-million","label":"Read, write, order and compare numbers to at least 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claim.","status":"draft","route":"/math/skills/oa/input-output-tables","data_json_route":"/math/data/skills/oa/input-output-tables.json","data_markdown_route":"/math/data/skills/oa/input-output-tables.md","hierarchy":{"skill_graph_node":"oa.input-output.tables","module_family":"module-family.pattern.functions-generalization.v1","task_type":"gap","math_module":"gap","task_surface":"gap","route_mode_bundle":"not_public","bank_row":"not_public"},"family_ref":"module-family.pattern.functions-generalization.v1","family_slug":"pattern-functions-generalization","family_name":"Patterns, Functions, and Generalization","standards":[{"system_id":"us_ccss","code":"CCSS.3.OA.D.9","label":"Identify arithmetic patterns and explain them using properties of operations.","alignment_type":"direct","public_slug":"3-oa-d-9"},{"system_id":"uk_england_nc","code":"UK-NC-Y4-number-sequences","label":"Recognise and describe number sequences and rules.","alignment_type":"partial","public_slug":"y4-number-sequences"}],"typical_mistakes":[],"preview_availability":"preview_unavailable","corpus_state":"proxy","crawler_summary":"Input-output tables is an AXIO math skill in oa; public status is draft.","source_path":"ai/content/skills/oa/oa.input-output.tables.yaml","source_hash":"dd4be6ec11988cc5"},{"id":"pattern.repeat.extend","slug":"repeat-extend","domain":"pattern","title":"Repeating patterns","description":"Identify the repeating unit in a visual or symbolic pattern and extend it to the next needed positions.","status":"draft","route":"/math/skills/pattern/repeat-extend","data_json_route":"/math/data/skills/pattern/repeat-extend.json","data_markdown_route":"/math/data/skills/pattern/repeat-extend.md","hierarchy":{"skill_graph_node":"pattern.repeat.extend","module_family":"module-family.pattern.functions-generalization.v1","task_type":"gap","math_module":"gap","task_surface":"gap","route_mode_bundle":"not_public","bank_row":"not_public"},"family_ref":"module-family.pattern.functions-generalization.v1","family_slug":"pattern-functions-generalization","family_name":"Patterns, Functions, and Generalization","standards":[{"system_id":"us_ccss","code":"CCSS.MP.7","label":"Look for and make use of structure.","alignment_type":"extension","public_slug":"mp-7"},{"system_id":"uk_england_nc","code":"UK-NC-Y2-patterns-sequences","label":"Continue and create repeating patterns and sequences.","alignment_type":"partial","public_slug":"y2-patterns-sequences"}],"typical_mistakes":[],"preview_availability":"preview_unavailable","corpus_state":"proxy","crawler_summary":"Repeating patterns is an AXIO math skill in pattern; public status is draft.","source_path":"ai/content/skills/pattern/pattern.repeat.extend.yaml","source_hash":"b33ec0b7892d78da"},{"id":"prealg.equation.balance","slug":"equation-balance","domain":"prealg","title":"Balancing equations","description":"Use a balance model to preserve equality between two sides and decide what value or object keeps both sides equivalent.","status":"draft","route":"/math/skills/prealg/equation-balance","data_json_route":"/math/data/skills/prealg/equation-balance.json","data_markdown_route":"/math/data/skills/prealg/equation-balance.md","hierarchy":{"skill_graph_node":"prealg.equation.balance","module_family":"module-family.prealg.equations-expressions-inequalities.v1","task_type":"gap","math_module":"gap","task_surface":"gap","route_mode_bundle":"not_public","bank_row":"not_public"},"family_ref":"module-family.prealg.equations-expressions-inequalities.v1","family_slug":"prealg-equations-expressions-inequalities","family_name":"Equations, Variables, Expressions, and Inequalities","standards":[{"system_id":"us_ccss","code":"CCSS.1.OA.D.7","label":"Understand the meaning of the equal sign and determine if equations are true or false.","alignment_type":"direct","public_slug":"1-oa-d-7"},{"system_id":"uk_england_nc","code":"UK-NC-Y4-equivalence-balance","label":"Use inverse operations and equality relationships to solve missing-number statements.","alignment_type":"partial","public_slug":"y4-equivalence-balance"}],"typical_mistakes":[],"preview_availability":"preview_unavailable","corpus_state":"proxy","crawler_summary":"Balancing equations is an AXIO math skill in prealg; public status is draft.","source_path":"ai/content/skills/prealg/prealg.equation.balance.yaml","source_hash":"9d3c72f10dd01523"}]}