[
  {
    "id": "cbse-math-partition-whole-into-equal-parts-halves",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Partition a whole into two equal parts to make halves",
    "bloom_verb": "partition",
    "bloom_level": "apply",
    "conceptual_object": "whole_into_equal_parts",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "partition-whole-into-equal-parts",
    "grade": "G3",
    "scope": {
      "case": "halves",
      "form": "regular shapes (square, rectangle, circle, region)"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Given a shape, draw a line dividing it into two equal parts; many orientations of the dividing line are valid."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Fold a rectangular paper into two equal parts in different ways."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G3",
        "chapter": 8,
        "section": "8.1 Half (paratha sharing)",
        "chapter_order": 8
      }
    ],
    "tags": [
      "partition",
      "halves",
      "fair-share"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-fraction-of-whole-half",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise one half of a whole",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "fraction_of_whole",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-fraction-of-whole",
    "grade": "G3",
    "scope": {
      "case": "half",
      "representation": "shaded region of regular shapes"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Among shapes shown with shading, circle those where exactly one half is coloured."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Student names a region as 'one half' when one whole is shared equally between 2 people."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G3",
        "chapter": 8,
        "section": "8.2 Halves",
        "chapter_order": 8
      }
    ],
    "tags": [
      "fraction-of-whole",
      "halves",
      "g3-foundational"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-half-and-double-of-small-number",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the half and the double of a small whole number",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "half_and_double_relation",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-half-and-double",
    "grade": "G3",
    "scope": {
      "numeric_range": "whole numbers up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Fill blanks: '4 marbles are ___ of 8 marbles' and '8 marbles are ___ of 4 marbles'."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Marbles arrangements (4 alongside 8) to show double / half relationship."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Number-line jumps: how far is 13 from the double of 7? How far is 5 from half of 14?"
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G3",
        "chapter": 8,
        "section": "Half and Double (marbles)",
        "chapter_order": 8
      }
    ],
    "tags": [
      "half",
      "double",
      "g3"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-partition-whole-into-equal-parts-quarters",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Partition a whole into four equal parts to make quarters",
    "bloom_verb": "partition",
    "bloom_level": "apply",
    "conceptual_object": "whole_into_equal_parts",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "partition-whole-into-equal-parts",
    "grade": "G3",
    "scope": {
      "case": "quarters",
      "form": "regular shapes"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Given a whole, draw lines to make a quarter; draw the remaining three quarters to complete the whole."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Fold a square / rectangular paper into four equal parts in different ways."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G3",
        "chapter": 8,
        "section": "Quarters",
        "chapter_order": 8
      }
    ],
    "tags": [
      "partition",
      "quarters",
      "fair-share"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-fraction-of-whole-quarter",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise one quarter of a whole",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "fraction_of_whole",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-fraction-of-whole",
    "grade": "G3",
    "scope": {
      "case": "quarter",
      "representation": "shaded region of regular shapes"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Tick objects that show quarters (a chikki cut into four equal parts; a square folded into fourths)."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Student names 'one quarter' when a whole is shared equally among 4 people."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G3",
        "chapter": 8,
        "section": "Quarters",
        "chapter_order": 8
      }
    ],
    "tags": [
      "fraction-of-whole",
      "quarters",
      "g3-foundational"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-distinguish-half-from-quarter",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Distinguish half from a quarter in a shaded picture",
    "bloom_verb": "distinguish",
    "bloom_level": "understand",
    "conceptual_object": "half_vs_quarter",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "distinguish-half-from-quarter",
    "grade": "G3",
    "scope": {
      "cases": [
        "half",
        "quarter"
      ],
      "form": "shaded objects and groups of objects"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Given a shaded picture of birds or flowers, tick whether 'half' or 'a quarter' has been coloured."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "State whether one student coloured half or a quarter of a group of 16 flowers."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G3",
        "chapter": 8,
        "section": "Half or Quarter? / Quarters and Whole",
        "chapter_order": 8
      }
    ],
    "tags": [
      "half",
      "quarter",
      "distinguish",
      "g3"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-fraction-of-whole-three-quarters",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise three quarters of a whole",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "fraction_of_whole",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-fraction-of-whole",
    "grade": "G3",
    "scope": {
      "case": "three-quarters",
      "representation": "shaded region of regular shapes"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Tick the shapes that show three-quarters shaded (3 of 4 equal parts coloured)."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Student names a region as 'three quarters' or 'three out of four parts'."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G3",
        "chapter": 8,
        "section": "Quarters and Whole",
        "chapter_order": 8
      }
    ],
    "tags": [
      "fraction-of-whole",
      "three-quarters",
      "g3"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-write-unit-fraction-symbolically",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Write a unit fraction in symbolic form",
    "bloom_verb": "construct",
    "bloom_level": "apply",
    "conceptual_object": "unit_fraction_symbol",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "write-unit-fraction-symbolically",
    "grade": "G4",
    "scope": {
      "numeric_range": "denominators 2 to 10",
      "form": "1/n"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "When a whole is shared equally among 5 people, write each share as '1/5'."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Each shaded piece of the dhokla, divided among n people, is labelled 1/n."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "Parts and Wholes (notation for half and quarter)",
        "chapter_order": 5
      }
    ],
    "tags": [
      "unit-fraction",
      "notation",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-fraction-of-whole",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise a unit fraction of a whole",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "fraction_of_whole",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-fraction-of-whole",
    "grade": "G4",
    "scope": {
      "form": "unit fraction 1/n",
      "numeric_range": "n from 3 to 9",
      "representation": "area model"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Identify which figure shows 1/3, 1/5, 1/6, etc. by counting equal parts and shaded parts."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Student names 'one-third', 'one-fifth', 'one-sixth' for the shaded share."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "Dhokla story (1/2, 1/3, 1/4, 1/5, 1/6, ...)",
        "chapter_order": 5
      }
    ],
    "tags": [
      "fraction-of-whole",
      "unit-fraction",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-partition-whole-into-equal-parts",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Partition a whole into n equal parts",
    "bloom_verb": "partition",
    "bloom_level": "apply",
    "conceptual_object": "whole_into_equal_parts",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "partition-whole-into-equal-parts",
    "grade": "G4",
    "scope": {
      "numeric_range": "n from 3 to 10",
      "form": "regular shapes (rectangle, circle, strip)"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Draw lines to divide given shapes into n equal parts; e.g., divide a strip into 4, 5, or 6 equal parts."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Fold a paper into 5 equal parts via paper folding."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "Many Ways to Make Halves and Quarters / Dhokla",
        "chapter_order": 5
      }
    ],
    "tags": [
      "partition",
      "equal-parts",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-identify-equal-vs-unequal-parts",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Identify whether a whole has been divided into equal parts",
    "bloom_verb": "identify",
    "bloom_level": "recall",
    "conceptual_object": "equal_partition_check",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "identify-equal-vs-unequal-parts",
    "grade": "G4",
    "scope": {
      "form": "rectangle / square shapes partitioned by drawn lines"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Circle the shapes that are correctly divided into equal parts; cross out those that are not."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Critique a claim like 'this is 1/3' when the partition is not into three equal parts."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "Bablu's shapes / children's claims",
        "chapter_order": 5
      }
    ],
    "tags": [
      "equal-parts",
      "validity",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-fraction-of-whole-non-unit",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise a non-unit fraction of a whole",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "fraction_of_whole",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-fraction-of-whole",
    "grade": "G4",
    "scope": {
      "form": "non-unit fraction k/n with k < n",
      "numeric_range": "denominators up to 8"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Identify the fraction shaded when 2 of 5 equal parts are coloured (2/5), or 3 of 4 (3/4)."
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Write '2/5' for 'two-fifths of the garden planted with Rose'; '3/4' for the part shaded."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "My Flower Garden / Dream Dosa",
        "chapter_order": 5
      }
    ],
    "tags": [
      "non-unit-fraction",
      "fraction-of-whole",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-fraction-of-set",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute a unit fraction of a set of objects",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_of_set",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-fraction-of-set",
    "grade": "G4",
    "scope": {
      "form": "1/n of N objects, N divisible by n",
      "numeric_range": "N up to 16, n from 2 to 6"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Show 8 diyas divided into 4 equal groups; colour one group to show 1/4 of 8 = 2."
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Compute 1/4 of 12 cookies = 3; 1/3 of 12 = 4."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Share 12 cookies equally among 3 children; what fraction does each get?"
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "Do It Yourself - 12 cookies / 8 diyas / 5 pots / barfi box",
        "chapter_order": 5
      }
    ],
    "tags": [
      "fraction-of-set",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compare-unit-fractions",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compare two unit fractions",
    "bloom_verb": "compare",
    "bloom_level": "understand",
    "conceptual_object": "unit_fraction_comparison",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compare-unit-fractions",
    "grade": "G4",
    "scope": {
      "form": "compare 1/a and 1/b",
      "numeric_range": "denominators up to 10"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Fill blanks: 1/5 is greater than 1/9; 1/6 > 1/8."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Fraction kit pieces compared by length: a 1/4 piece is bigger than a 1/5 piece."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Reason: 'When shared among more people, each share is smaller, so 1/9 < 1/5.'"
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "Dhokla discussion / Fraction kit / Fraction chart",
        "chapter_order": 5
      }
    ],
    "tags": [
      "compare",
      "unit-fraction",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-equivalent-fractions",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise two fractions as equivalent",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "equivalent_fractions",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-equivalent-fractions",
    "grade": "G4",
    "scope": {
      "form": "single-step subdivision via paper folding",
      "numeric_range": "denominators up to 12"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "From paper folding, observe 1/3 = 2/6 = 4/12; identify equivalent pairs in a fraction chart."
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "State whether 1/2 = 2/4 = 3/6; identify '1/3 = 2/6' from paper-folding."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G4",
        "chapter": 5,
        "section": "Paper folding 1/3 = 2/6 = ... / Fraction chart",
        "chapter_order": 5
      }
    ],
    "tags": [
      "equivalent-fractions",
      "g4"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-fraction-depends-on-whole",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise that comparing fractions requires the same whole",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "fraction_whole_dependency",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-fraction-depends-on-whole",
    "grade": "G5",
    "scope": {
      "form": "two physical wholes of different sizes"
    },
    "language": "english",
    "facets": [
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Explain why '1/3 of a big chocolate may be bigger than 1/2 of a small chocolate'."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Two grids of different sizes shaded the same fractional amount; the shaded areas are not equal."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Tamanna's chocolates / Playing with a Grid",
        "chapter_order": 2
      }
    ],
    "tags": [
      "whole-dependency",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-generate-equivalent-fraction",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Generate an equivalent fraction for a given fraction",
    "bloom_verb": "generate",
    "bloom_level": "create",
    "conceptual_object": "equivalent_fractions",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "generate-equivalent-fraction",
    "grade": "G5",
    "scope": {
      "form": "produce 2-3 equivalents",
      "method": "multiply numerator and denominator by same whole number",
      "numeric_range": "denominators up to 50"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Given 2/5, write 4/10, 6/15, 8/20, ... by multiplying both terms by 2, 3, 4, etc."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Subdividing each part of 1/3 yields 2/6, 3/9, 4/12; the shaded region is unchanged."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Making Equivalent Fractions",
        "chapter_order": 2
      }
    ],
    "tags": [
      "equivalent-fractions",
      "generate",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-verify-fraction-equivalence",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Verify whether two given fractions are equivalent",
    "bloom_verb": "verify",
    "bloom_level": "evaluate",
    "conceptual_object": "fraction_equivalence_check",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "verify-fraction-equivalence",
    "grade": "G5",
    "scope": {
      "numeric_range": "denominators up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Tick the equivalent pairs: 3/5 and 6/10; 2/3 and 3/4; 4/12 and 2/6."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Compare shaded regions in two same-sized grids to verify equivalence."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Let Us Do (equivalence ticks)",
        "chapter_order": 2
      }
    ],
    "tags": [
      "equivalent-fractions",
      "verify",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compare-fraction-same-denominator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compare two fractions with the same denominator",
    "bloom_verb": "compare",
    "bloom_level": "understand",
    "conceptual_object": "fraction_comparison",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compare-fraction-same-denominator",
    "grade": "G5",
    "scope": {
      "type_bound": "same-denominator only",
      "numeric_range": "denominators up to 10"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Use <, > to compare: 1/4 ___ 3/4; 5/7 ___ 2/7."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Justify: 'When fractional units are the same, more units of the same size means more.'"
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Strip pictures: 2/3 shaded vs 1/3 shaded."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Comparing Fractions - Same Denominator",
        "chapter_order": 2
      }
    ],
    "tags": [
      "compare",
      "same-denominator",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compare-fraction-same-numerator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compare two fractions with the same numerator",
    "bloom_verb": "compare",
    "bloom_level": "understand",
    "conceptual_object": "fraction_comparison",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compare-fraction-same-numerator",
    "grade": "G5",
    "scope": {
      "type_bound": "same-numerator only",
      "numeric_range": "numerators up to 10"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Use <, > to compare: 3/8 ___ 3/7; 4/9 ___ 4/10."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Justify: 'The 1/6 piece is smaller than the 1/5 piece, so 4/6 < 4/5.'"
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Comparing Fractions - Same Numerator",
        "chapter_order": 2
      }
    ],
    "tags": [
      "compare",
      "same-numerator",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-mark-fraction-on-number-line",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Mark a fraction on the number line",
    "bloom_verb": "mark",
    "bloom_level": "apply",
    "conceptual_object": "fraction_on_number_line",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "mark-fraction-on-number-line",
    "grade": "G5",
    "scope": {
      "form": "fractions between 0 and a small whole number",
      "numeric_range": "denominators up to 8"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "On a number line from 0 to 2, mark 1/2, 3/2, 5/2 by dividing each unit into halves."
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Identify the fraction marked at a point on a number line divided into n equal parts."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Number line (parathas in halves and quarters)",
        "chapter_order": 2
      }
    ],
    "tags": [
      "number-line",
      "fraction",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-fraction-greater-than-one",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise a fraction greater than one",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "improper_fraction",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-fraction-greater-than-one",
    "grade": "G5",
    "scope": {
      "form": "fraction k/n with k > n",
      "numeric_range": "denominators up to 12"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Circle the fractions greater than 1 from a list: 5/4, 2/3, 9/4, 7/8, 12/5."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Justify: a fraction is greater than 1 when its numerator is bigger than its denominator."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Fractions Greater Than 1",
        "chapter_order": 2
      }
    ],
    "tags": [
      "improper-fraction",
      "greater-than-one",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-convert-improper-to-mixed",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Convert an improper fraction to a mixed number",
    "bloom_verb": "convert",
    "bloom_level": "apply",
    "conceptual_object": "improper_to_mixed",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "convert-improper-to-mixed",
    "grade": "G5",
    "scope": {
      "form": "fraction k/n with k > n",
      "numeric_range": "denominators up to 10"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Write 5/2 as 2 + 1/2 = 2 1/2; 9/4 as 2 1/4."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Number-line model: 5 halves placed end-to-end go to 5/2 = 2 1/2."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Father cut parathas in halves; if 5 half-pieces were eaten, how many whole parathas is that?"
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Fractions Greater Than 1 (5 halves of paratha)",
        "chapter_order": 2
      }
    ],
    "tags": [
      "mixed-fraction",
      "improper-fraction",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compare-fraction-with-one",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compare two fractions with reference to one",
    "bloom_verb": "compare",
    "bloom_level": "understand",
    "conceptual_object": "fraction_to_one_comparison",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compare-fraction-with-one",
    "grade": "G5",
    "scope": {
      "form": "one fraction vs 1",
      "numeric_range": "denominators up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Compare two fractions using 1 as reference: 7/8 < 1 < 8/6, so 7/8 < 8/6."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Justify why a fraction is less than (or greater than) 1 by looking at numerator vs denominator."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Comparing Fractions with Reference to 1",
        "chapter_order": 2
      }
    ],
    "tags": [
      "compare",
      "reference-1",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compare-fraction-with-half",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compare two fractions with reference to one half",
    "bloom_verb": "compare",
    "bloom_level": "understand",
    "conceptual_object": "fraction_to_half_comparison",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compare-fraction-with-half",
    "grade": "G5",
    "scope": {
      "form": "one fraction vs 1/2",
      "numeric_range": "denominators up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Circle fractions that are equal to 1/2: 2/4, 3/5, 5/10, 8/16; circle fractions less than 1/2."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Justify: 5/8 > 1/2 because 3/6 = 1/2 and 5/8 covers more than half."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Maths Mela G5",
        "chapter": 2,
        "section": "Comparing Fractions with Reference to 1/2",
        "chapter_order": 2
      }
    ],
    "tags": [
      "compare",
      "reference-half",
      "g5"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-define-fractional-unit",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Define a fractional unit",
    "bloom_verb": "define",
    "bloom_level": "understand",
    "conceptual_object": "fractional_unit",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "define-fractional-unit",
    "grade": "G6",
    "scope": {
      "form": "1/n where one whole is divided into n equal parts"
    },
    "language": "english",
    "facets": [
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "State: 'When one whole is divided into n equal parts, each part is called a fractional unit 1/n.'"
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Identify 1/2, 1/3, 1/4, ... 1/100 as fractional units."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.1 Fractional Units and Equal Shares",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fractional-unit",
      "definitional",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-name-fraction-from-shaded-piece",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Name the fraction represented by a shaded piece of a whole",
    "bloom_verb": "name",
    "bloom_level": "recall",
    "conceptual_object": "fraction_naming",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "name-fraction-from-shaded-piece",
    "grade": "G6",
    "scope": {
      "form": "shaded piece of an area model",
      "numeric_range": "denominators up to 8"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "From a chikki cut into 4 equal pieces with 3 pieces showing, name the visible piece as 3/4 chikki."
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Write the fraction (e.g., 1/3, 3/4, 1/6) for each shaded piece shown."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.2 Fractional Units as Parts of a Whole",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fraction-naming",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-measure-quantity-using-fractional-unit",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Measure a quantity by counting copies of a fractional unit",
    "bloom_verb": "measure",
    "bloom_level": "apply",
    "conceptual_object": "quantity_measured_in_fractional_units",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "measure-quantity-using-fractional-unit",
    "grade": "G6",
    "scope": {
      "form": "k copies of 1/n give k/n",
      "numeric_range": "denominators up to 10"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Paper-strip folded into eighths; 3 of the eighths shaded = 3/8 (read as '3 times 1/8')."
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Write 3/4 = 3 × 1/4 = 1/4 + 1/4 + 1/4 (read as '3 times one-fourth')."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.3 Measuring Using Fractional Units",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fractional-unit",
      "measure",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-define-numerator-denominator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Define the numerator and the denominator of a fraction",
    "bloom_verb": "define",
    "bloom_level": "understand",
    "conceptual_object": "fraction_parts",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "define-numerator-denominator",
    "grade": "G6",
    "scope": {
      "form": "any fraction"
    },
    "language": "english",
    "facets": [
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "State: 'In 5/6, 5 is the numerator (parts being counted) and 6 is the denominator (total equal parts).'"
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Given 3/4, identify 3 as numerator and 4 as denominator."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.3 Reading Fractions",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fraction-vocabulary",
      "definitional",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-mark-fraction-on-number-line-extended",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Mark a fraction on the number line",
    "bloom_verb": "mark",
    "bloom_level": "apply",
    "conceptual_object": "fraction_on_number_line",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "mark-fraction-on-number-line",
    "grade": "G6",
    "scope": {
      "form": "fractions between 0 and 2, both proper and improper",
      "numeric_range": "denominators up to 10"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "On a number line dividing each unit into n parts, mark fractions like 3/5, 7/10, 1/10."
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Read off the fraction at a point on a divided number line."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.4 Marking Fraction Lengths on the Number Line",
        "chapter_order": 7
      }
    ],
    "tags": [
      "number-line",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-read-fraction-from-number-line",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Read the fraction at a marked point on the number line",
    "bloom_verb": "interpret",
    "bloom_level": "understand",
    "conceptual_object": "fraction_on_number_line",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "read-fraction-from-number-line",
    "grade": "G6",
    "scope": {
      "form": "points between 0 and 2, denominator implied by partition"
    },
    "language": "english",
    "facets": [
      {
        "type": "Visual",
        "role": "assessable",
        "description": "Given a number line with each unit divided into 5 parts and a marked black line, read its length as e.g. 7/5."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.4 Number line - read length of marked lines",
        "chapter_order": 7
      }
    ],
    "tags": [
      "number-line",
      "read",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-classify-proper-improper-fraction",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Classify a fraction as proper or improper",
    "bloom_verb": "classify",
    "bloom_level": "understand",
    "conceptual_object": "fraction_classification",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "classify-proper-improper-fraction",
    "grade": "G6",
    "scope": {
      "form": "single fraction",
      "numeric_range": "denominators up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Sort a list of fractions into 'less than 1' and 'more than 1' (proper / improper)."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Identify the criterion: numerator < denominator means proper, numerator > denominator means improper."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.5 Mixed Fractions (lengths < 1 vs > 1)",
        "chapter_order": 7
      }
    ],
    "tags": [
      "proper-improper",
      "classify",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-convert-improper-to-mixed-extended",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Convert an improper fraction to a mixed number",
    "bloom_verb": "convert",
    "bloom_level": "apply",
    "conceptual_object": "improper_to_mixed",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "convert-improper-to-mixed",
    "grade": "G6",
    "scope": {
      "form": "fraction k/n with k > n",
      "numeric_range": "denominators up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Write 9/2 as 4 1/2, 21/19 as 1 2/19, 47/9 as 5 2/9."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Explain: 8/3 = 6/3 + 2/3 = 2 + 2/3 = 2 2/3."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.5 Writing fractions greater than one as mixed numbers",
        "chapter_order": 7
      }
    ],
    "tags": [
      "mixed-fraction",
      "convert",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-convert-mixed-to-improper",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Convert a mixed number to an improper fraction",
    "bloom_verb": "convert",
    "bloom_level": "apply",
    "conceptual_object": "mixed_to_improper",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "convert-mixed-to-improper",
    "grade": "G6",
    "scope": {
      "numeric_range": "denominators up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Write 3 1/4 as 13/4; 7 2/3 as 23/3; 9 4/9 as 85/9."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Explain: 3 + 3/4 = 12/4 + 3/4 = 15/4."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.5 Writing mixed numbers as fractions",
        "chapter_order": 7
      }
    ],
    "tags": [
      "mixed-fraction",
      "convert",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-generate-equivalent-fraction-extended",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Generate an equivalent fraction for a given fraction",
    "bloom_verb": "generate",
    "bloom_level": "create",
    "conceptual_object": "equivalent_fractions",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "generate-equivalent-fraction",
    "grade": "G6",
    "scope": {
      "form": "multiple equivalents, method: multiply both terms by same whole number",
      "numeric_range": "denominators up to 40"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Given 4/6, write 8/12, 12/18, 16/24, ... or simpler 2/3."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Fraction wall pieces matching 1/2 = 2/4 = 3/6 = 4/8 = 5/10."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.6 Equivalent Fractions / Fraction Wall",
        "chapter_order": 7
      }
    ],
    "tags": [
      "equivalent-fractions",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-express-fraction-in-lowest-terms",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Express a fraction in lowest terms",
    "bloom_verb": "convert",
    "bloom_level": "apply",
    "conceptual_object": "fraction_lowest_terms",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "express-fraction-in-lowest-terms",
    "grade": "G6",
    "scope": {
      "form": "divide numerator and denominator by their common factor(s) until none remain",
      "numeric_range": "denominators up to 200"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Reduce 16/20 = 4/5 (divide by 4); 36/60 = 3/5; 17/51 = 1/3; 64/144 = 4/9."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Define: a fraction is in lowest terms when numerator and denominator share no factor other than 1."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.6 Expressing a fraction in lowest terms (simplest form)",
        "chapter_order": 7
      }
    ],
    "tags": [
      "lowest-terms",
      "simplest-form",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compare-fraction-via-common-denominator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compare two fractions by converting to a common denominator",
    "bloom_verb": "compare",
    "bloom_level": "understand",
    "conceptual_object": "fraction_comparison",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compare-fraction-via-common-denominator",
    "grade": "G6",
    "scope": {
      "form": "any two fractions",
      "numeric_range": "denominators up to 30",
      "method": "convert to equivalent fractions with common denominator, then compare numerators"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "To compare 4/5 and 7/9, convert to 36/45 and 35/45; 36/45 > 35/45, so 4/5 > 7/9."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "State the two-step rule: (1) common denominator, (2) compare numerators."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.7 Comparing Fractions",
        "chapter_order": 7
      }
    ],
    "tags": [
      "compare",
      "common-denominator",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-order-fractions-ascending",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Order a set of three or more fractions in ascending order",
    "bloom_verb": "order",
    "bloom_level": "apply",
    "conceptual_object": "fraction_ordering",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "order-fractions-ascending",
    "grade": "G6",
    "scope": {
      "form": "set of three or more fractions",
      "numeric_range": "denominators up to 30"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Order 7/10, 11/15, 2/5 in ascending order (find common denominator 30 → 21/30, 22/30, 12/30 → 2/5, 7/10, 11/15)."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.7 Comparing Fractions - Figure it Out 2 (ascending order)",
        "chapter_order": 7
      }
    ],
    "tags": [
      "order",
      "ascending",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-order-fractions-descending",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Order a set of three or more fractions in descending order",
    "bloom_verb": "order",
    "bloom_level": "apply",
    "conceptual_object": "fraction_ordering",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "order-fractions-descending",
    "grade": "G6",
    "scope": {
      "form": "set of three or more fractions",
      "numeric_range": "denominators up to 32"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Order 25/16, 7/8, 13/4, 17/32 in descending order."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.7 Comparing Fractions - Figure it Out 3 (descending order)",
        "chapter_order": 7
      }
    ],
    "tags": [
      "order",
      "descending",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-fraction-sum-same-denominator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the sum of two fractions with the same denominator",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_sum",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-fraction-sum",
    "grade": "G6",
    "scope": {
      "type_bound": "same-denominator only",
      "numeric_range": "denominators up to 30",
      "form": "proper_or_improper_fraction"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "2/5 + 1/5 = 3/5; 4/7 + 6/7 = 10/7 = 1 3/7. Add numerators, keep denominator."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Rectangular strip model: two strips with same fractional unit combined."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Meena ate 2/7 chikki and her brother ate 1/7 chikki; together they ate 3/7."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.8 Adding fractions with same fractional unit",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fraction-addition",
      "same-denominator",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-fraction-sum-unlike-denominator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the sum of two fractions with unlike denominators",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_sum",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-fraction-sum",
    "grade": "G6",
    "scope": {
      "type_bound": "unlike-denominator",
      "numeric_range": "denominators up to 30",
      "method": "convert to common denominator (via product or LCM), then add"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "1/4 + 1/3 = 3/12 + 4/12 = 7/12; 2/3 + 1/5 = 10/15 + 3/15 = 13/15."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Recite the three-step method: (1) common denominator, (2) add numerators, (3) reduce to lowest terms."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Rahim mixes 2/3 L yellow paint with 3/4 L blue paint; total = 17/12 L."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.8 Adding fractions with different fractional units (Brahmagupta's method)",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fraction-addition",
      "unlike-denominator",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-fraction-difference-same-denominator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the difference of two fractions with the same denominator",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_difference",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-fraction-difference",
    "grade": "G6",
    "scope": {
      "type_bound": "same-denominator only",
      "numeric_range": "denominators up to 30"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "6/7 - 4/7 = 2/7; 5/8 - 3/8 = 2/8 = 1/4."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Rectangular strip model: remove the smaller shaded portion from the larger."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.8 Subtraction with same fractional units",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fraction-subtraction",
      "same-denominator",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-fraction-difference-unlike-denominator",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the difference of two fractions with unlike denominators",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_difference",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-fraction-difference",
    "grade": "G6",
    "scope": {
      "type_bound": "unlike-denominator",
      "numeric_range": "denominators up to 30",
      "method": "convert to common denominator, then subtract"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "3/4 - 2/3 = 9/12 - 8/12 = 1/12; 5/6 - 4/9 = 15/18 - 8/18 = 7/18."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Jaya's school is 7/10 km from her home; she takes an auto 1/2 km. How much does she walk?"
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G6",
        "chapter": 7,
        "section": "7.8 Subtraction with different fractional units",
        "chapter_order": 7
      }
    ],
    "tags": [
      "fraction-subtraction",
      "unlike-denominator",
      "g6"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-product-whole-and-fraction",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the product of a whole number and a fraction",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_product",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-product-whole-and-fraction",
    "grade": "G7",
    "scope": {
      "form": "n × p/q or p/q × n",
      "numeric_range": "whole numbers up to 20, denominators up to 20"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "3 × 1/4 = 3/4; 5 × 2/3 = 10/3; 2/5 × 3 = 6/5."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Tortoise walks 1/4 km in 1 hour; how far in 3 hours? Distance = 3 × 1/4 km = 3/4 km."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Number-line model: stacking copies of 1/q to reach n × 1/q."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.1 Multiplication of Fractions - whole × fraction",
        "chapter_order": 8
      }
    ],
    "tags": [
      "fraction-multiplication",
      "whole-times-fraction",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-product-of-two-fractions",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the product of two fractions",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_product",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-product-of-two-fractions",
    "grade": "G7",
    "scope": {
      "form": "(a/b) × (c/d) = ac/bd",
      "numeric_range": "denominators up to 25"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "(2/3) × (4/5) = 8/15; (3/4) × (2/5) = 6/20 = 3/10; (5/4) × (3/2) = 15/8."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Recite Brahmagupta's rule: a/b × c/d = (a×c)/(b×d)."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Unit-square area model: fraction multiplication is the area of a rectangle with fractional sides."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Tortoise walks 2/5 km in 1 hour; how far in 3/4 hour? (3/4) × (2/5) = 6/20 = 3/10 km."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.1 Multiplying Two Fractions / Multiplying Numerators and Denominators",
        "chapter_order": 8
      }
    ],
    "tags": [
      "fraction-multiplication",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-simplify-fraction-product-by-cancelling",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Simplify a fraction product by cancelling common factors before multiplying",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_product_simplified",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "simplify-fraction-product-by-cancelling",
    "grade": "G7",
    "scope": {
      "form": "cancel common factors between any numerator and any denominator before computing"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "(12/7) × (5/24): cancel 12 with 24 (divide both by 12) → (1/7) × (5/2) = 5/14."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Justify cancelling using the property that a fraction is unchanged when numerator and denominator are divided by the same factor."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.1 Multiplication of Fractions - Simplifying to Lowest Form (apavartana)",
        "chapter_order": 8
      }
    ],
    "tags": [
      "fraction-multiplication",
      "cancel",
      "apavartana",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-analyse-product-size-relative-to-factors",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Analyse how the size of a fraction product compares to its factors",
    "bloom_verb": "analyse",
    "bloom_level": "analyse",
    "conceptual_object": "fraction_product_size_relation",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "analyse-product-size-relative-to-factors",
    "grade": "G7",
    "scope": {
      "cases": [
        "both factors greater than 1",
        "both factors between 0 and 1",
        "one factor between 0 and 1, the other greater than 1"
      ]
    },
    "language": "english",
    "facets": [
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Conclude: 'When one factor is between 0 and 1, the product is less than the other factor.'"
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Without computing, predict whether (565/465) × (707/676) is > or < each factor."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.1 Is the Product Always Greater than the Numbers Multiplied?",
        "chapter_order": 8
      }
    ],
    "tags": [
      "product-size",
      "analyse",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-define-reciprocal-of-fraction",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Define the reciprocal of a fraction",
    "bloom_verb": "define",
    "bloom_level": "understand",
    "conceptual_object": "reciprocal",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "define-reciprocal-of-fraction",
    "grade": "G7",
    "scope": {
      "form": "reciprocal of a/b is b/a"
    },
    "language": "english",
    "facets": [
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "State: 'The reciprocal of a/b is b/a; a fraction times its reciprocal equals 1.'"
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Reciprocal of 3/5 is 5/3; of 7 (= 7/1) is 1/7."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.2 Division - Discussion (Reciprocal)",
        "chapter_order": 8
      }
    ],
    "tags": [
      "reciprocal",
      "definitional",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-fraction-quotient",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the quotient of two fractions",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "fraction_quotient",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-fraction-quotient",
    "grade": "G7",
    "scope": {
      "form": "(a/b) ÷ (c/d) = (a/b) × (d/c)",
      "numeric_range": "denominators up to 25"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "(2/3) ÷ (3/5) = (2/3) × (5/3) = 10/9; 1/5 ÷ 1/2 = 2/5."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "State Brahmagupta's rule: divide by a fraction by multiplying by its reciprocal."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "8 m of lace is used 1/4 m per bag; number of bags = 8 ÷ 1/4 = 32."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.2 Division of Fractions",
        "chapter_order": 8
      }
    ],
    "tags": [
      "fraction-division",
      "reciprocal",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-analyse-quotient-size-relative-to-dividend",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Analyse how the size of a fraction quotient compares to the dividend",
    "bloom_verb": "analyse",
    "bloom_level": "analyse",
    "conceptual_object": "fraction_quotient_size_relation",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "analyse-quotient-size-relative-to-dividend",
    "grade": "G7",
    "scope": {
      "cases": [
        "divisor between 0 and 1",
        "divisor greater than 1",
        "divisor equal to 1"
      ]
    },
    "language": "english",
    "facets": [
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Conclude: 'When the divisor is between 0 and 1, the quotient is greater than the dividend.'"
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Predict: 6 ÷ 1/4 = 24 > 6; 1/8 ÷ 1/4 = 1/2 > 1/8."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.2 Dividend, Divisor and the Quotient",
        "chapter_order": 8
      }
    ],
    "tags": [
      "quotient-size",
      "analyse",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-area-of-rectangle-with-fractional-sides",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute the area of a rectangle whose sides are fractions",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "rectangle_area_fractional",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-area-of-rectangle-with-fractional-sides",
    "grade": "G7",
    "scope": {
      "form": "area = length × breadth, where length and breadth are fractions or mixed numbers"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Side 1/2 unit × side 1/4 unit = 1/8 sq units."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Find the area of a rectangle of sides 3 3/4 ft and 9 3/5 ft."
      },
      {
        "type": "Visual",
        "role": "explanatory",
        "description": "Unit square partitioned into rows × columns; the shaded rectangle has area equal to the product."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.1 Connection between Area of a Rectangle and Fraction Multiplication",
        "chapter_order": 8
      }
    ],
    "tags": [
      "area",
      "fraction-multiplication",
      "applied",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-solve-multi-step-fraction-word-problem",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Solve a multi-step word problem involving fractions",
    "bloom_verb": "solve",
    "bloom_level": "apply",
    "conceptual_object": "fraction_word_problem",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "solve-multi-step-fraction-word-problem",
    "grade": "G7",
    "scope": {
      "form": "real-world problem requiring 2-4 fraction operations",
      "method": "model situation, apply add/subtract/multiply/divide of fractions"
    },
    "language": "english",
    "facets": [
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Mira reads 1/5 of 400 pages yesterday and 3/10 today; how many pages left? 400 - 400 × (1/5 + 3/10) = 200."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "5 cups of tea use 1/4 L milk; milk per cup = 1/4 ÷ 5 = 1/20 L."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G7 Part 1",
        "chapter": 8,
        "section": "8.3 Some Problems Involving Fractions",
        "chapter_order": 8
      }
    ],
    "tags": [
      "word-problem",
      "applied",
      "g7"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-recognise-percentage-as-fraction",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Recognise a percentage as a fraction with denominator one hundred",
    "bloom_verb": "recognise",
    "bloom_level": "recall",
    "conceptual_object": "percentage_as_fraction",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "recognise-percentage-as-fraction",
    "grade": "G8",
    "scope": {
      "form": "z% = z/100"
    },
    "language": "english",
    "facets": [
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "State: 'A percentage is a fraction whose denominator is 100; 25% = 25/100.'"
      },
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "Identify 50% = 50/100 = 1/2; 33% = 33/100."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G8 Part 2",
        "chapter": 1,
        "section": "1.1 Fractions as Percentages",
        "chapter_order": 1
      }
    ],
    "tags": [
      "percentage",
      "fraction-with-denominator-100",
      "g8"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-convert-fraction-to-percentage",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Convert a fraction to a percentage",
    "bloom_verb": "convert",
    "bloom_level": "apply",
    "conceptual_object": "fraction_to_percentage",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "convert-fraction-to-percentage",
    "grade": "G8",
    "scope": {
      "method": "multiply fraction by 100 or find equivalent with denominator 100"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "3/4 = 75/100 = 75%; 2/5 = 40/100 = 40%; 1/3 ≈ 33.33%."
      },
      {
        "type": "Verbal",
        "role": "assessable",
        "description": "Method: 'To express a fraction as a percentage, multiply the fraction by 100.'"
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "If 15 of 80 students walk to school, the percentage walking is (15/80) × 100 = 18.75%."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G8 Part 2",
        "chapter": 1,
        "section": "1.1 Expressing Fractions as Percentages",
        "chapter_order": 1
      }
    ],
    "tags": [
      "percentage",
      "convert",
      "g8"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-convert-percentage-to-fraction",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Convert a percentage to a fraction in lowest terms",
    "bloom_verb": "convert",
    "bloom_level": "apply",
    "conceptual_object": "percentage_to_fraction",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "convert-percentage-to-fraction",
    "grade": "G8",
    "scope": {
      "method": "write as z/100 then reduce to lowest terms"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "24% = 24/100 = 6/25; 75% = 75/100 = 3/4; 40% = 40/100 = 2/5."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G8 Part 2",
        "chapter": 1,
        "section": "1.1 Expressing percentage as a fraction (Example 3)",
        "chapter_order": 1
      }
    ],
    "tags": [
      "percentage",
      "convert",
      "g8"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  },
  {
    "id": "cbse-math-compute-percentage-of-quantity",
    "ukg_id": null,
    "curriculum_id": "cbse",
    "canonical_statement": "Compute a percentage of a given quantity",
    "bloom_verb": "compute",
    "bloom_level": "apply",
    "conceptual_object": "percentage_of_quantity",
    "primary_strand": "number",
    "primary_thread": "fractions",
    "skill_family": "compute-percentage-of-quantity",
    "grade": "G8",
    "scope": {
      "form": "y% of z = (y/100) × z"
    },
    "language": "english",
    "facets": [
      {
        "type": "Symbolic",
        "role": "assessable",
        "description": "25% of 120 = (25/100) × 120 = 30; 80% of 75 = 60; 16% of 250 = 40."
      },
      {
        "type": "Applied",
        "role": "assessable",
        "description": "Madhav ate 95 g biscuit with 35% sugar; sugar consumed = (35/100) × 95 ≈ 33.25 g."
      }
    ],
    "source_provenance": [
      {
        "source_type": "textbook",
        "ref": "NCERT Ganita Prakash G8 Part 2",
        "chapter": 1,
        "section": "1.2 Percentage of Some Quantity",
        "chapter_order": 1
      }
    ],
    "tags": [
      "percentage",
      "applied",
      "g8"
    ],
    "status": "proposed",
    "superseded_by": null,
    "framework_alignments": [],
    "authored_at": "2026-06-30"
  }
]