data/knowledge_maps/math_dag.json

{
  "domain": "Nigerian Secondary School Mathematics",
  "scope": "JSS3 – SS2",
  "version": "1.0",
  "nodes": [
    {"id": "whole_numbers",         "label": "Whole Numbers & Basic Operations",     "level": "JSS3", "term": 1},
    {"id": "fractions",             "label": "Fractions",                             "level": "JSS3", "term": 1},
    {"id": "decimals",              "label": "Decimal Operations",                    "level": "JSS3", "term": 1},
    {"id": "approximation",         "label": "Approximation & Significant Figures",   "level": "JSS3", "term": 1},
    {"id": "number_bases",          "label": "Number Bases & Conversions",            "level": "JSS3", "term": 1},
    {"id": "proportion_variation",  "label": "Proportion & Variation",                "level": "JSS3", "term": 1},
    {"id": "algebraic_expressions", "label": "Algebraic Expressions",                 "level": "JSS3", "term": 1},
    {"id": "algebraic_factorization","label": "Algebraic Factorization",              "level": "JSS3", "term": 1},
    {"id": "quadratic_expressions", "label": "Quadratic Expressions & Perfect Squares","level": "JSS3","term": 1},
    {"id": "simple_equations",      "label": "Simple Equations Involving Fractions",  "level": "JSS3", "term": 2},
    {"id": "simultaneous_equations","label": "Simultaneous Equations",                "level": "JSS3", "term": 2},
    {"id": "angles",                "label": "Angles & Their Properties",             "level": "JSS3", "term": 1},
    {"id": "plane_shapes",          "label": "Plane Shapes & Properties",             "level": "JSS3", "term": 1},
    {"id": "similar_shapes",        "label": "Similar Shapes",                        "level": "JSS3", "term": 2},
    {"id": "pythagoras_theorem",    "label": "Pythagoras Theorem",                    "level": "JSS3", "term": 2},
    {"id": "trigonometric_ratios",  "label": "Trigonometric Ratios (sin, cos, tan)",  "level": "JSS3", "term": 2},
    {"id": "construction",          "label": "Construction of Angles & Shapes",       "level": "JSS3", "term": 2},
    {"id": "statistics_basic",      "label": "Statistics: Mean, Median, Mode",        "level": "JSS3", "term": 3},
    {"id": "indices",               "label": "Indices & Laws of Indices",             "level": "SS1",  "term": 1},
    {"id": "logarithms",            "label": "Logarithms",                            "level": "SS1",  "term": 1},
    {"id": "modular_arithmetic",    "label": "Modular Arithmetic",                    "level": "SS1",  "term": 1},
    {"id": "sets_venn_diagrams",    "label": "Sets & Venn Diagrams",                  "level": "SS1",  "term": 1},
    {"id": "quadratic_equations",   "label": "Quadratic Equations",                   "level": "SS1",  "term": 1},
    {"id": "logical_reasoning",     "label": "Logical Reasoning",                     "level": "SS1",  "term": 2},
    {"id": "geometric_proofs",      "label": "Geometric Proofs & Deductive Reasoning","level": "SS1",  "term": 2},
    {"id": "mensuration",           "label": "Mensuration: Arcs, Sectors & Segments", "level": "SS1",  "term": 3},
    {"id": "surface_area_volume",   "label": "Surface Area & Volume of Solids",       "level": "SS1",  "term": 3},
    {"id": "statistics_frequency",  "label": "Statistics: Frequency Distribution",    "level": "SS1",  "term": 3},
    {"id": "sequence_series",       "label": "Sequences & Series (AP & GP)",          "level": "SS2",  "term": 1},
    {"id": "circle_geometry",       "label": "Circle Geometry I: Tangent & Chord",    "level": "SS2",  "term": 1},
    {"id": "linear_inequalities",   "label": "Linear Inequalities & Linear Programming","level": "SS2","term": 2},
    {"id": "algebraic_fractions",   "label": "Algebraic Fractions",                   "level": "SS2",  "term": 2},
    {"id": "circle_geometry_2",     "label": "Circle Geometry II: Angles in Segments","level": "SS2",  "term": 2},
    {"id": "sine_cosine_rules",     "label": "Sine & Cosine Rules",                   "level": "SS2",  "term": 2},
    {"id": "bearings_distances",    "label": "Bearings & Distances",                  "level": "SS2",  "term": 2},
    {"id": "statistics_advanced",   "label": "Statistics: Central Tendency & Dispersion","level": "SS2","term": 3},
    {"id": "cumulative_frequency",  "label": "Cumulative Frequency & Ogive",          "level": "SS2",  "term": 3},
    {"id": "probability",           "label": "Probability: Rules & Events",           "level": "SS2",  "term": 3}
  ],
  "edges": [
    {"from": "whole_numbers",          "to": "fractions"},
    {"from": "whole_numbers",          "to": "number_bases"},
    {"from": "whole_numbers",          "to": "algebraic_expressions"},
    {"from": "whole_numbers",          "to": "modular_arithmetic"},
    {"from": "whole_numbers",          "to": "sets_venn_diagrams"},
    {"from": "whole_numbers",          "to": "statistics_basic"},
    {"from": "fractions",              "to": "decimals"},
    {"from": "fractions",              "to": "simple_equations"},
    {"from": "fractions",              "to": "proportion_variation"},
    {"from": "fractions",              "to": "statistics_basic"},
    {"from": "fractions",              "to": "probability"},
    {"from": "decimals",               "to": "approximation"},
    {"from": "decimals",               "to": "proportion_variation"},
    {"from": "number_bases",           "to": "indices"},
    {"from": "algebraic_expressions",  "to": "algebraic_factorization"},
    {"from": "algebraic_expressions",  "to": "simple_equations"},
    {"from": "algebraic_expressions",  "to": "sequence_series"},
    {"from": "algebraic_expressions",  "to": "logical_reasoning"},
    {"from": "algebraic_factorization","to": "quadratic_expressions"},
    {"from": "algebraic_factorization","to": "algebraic_fractions"},
    {"from": "quadratic_expressions",  "to": "quadratic_equations"},
    {"from": "simple_equations",       "to": "simultaneous_equations"},
    {"from": "simple_equations",       "to": "quadratic_equations"},
    {"from": "simple_equations",       "to": "linear_inequalities"},
    {"from": "simultaneous_equations", "to": "linear_inequalities"},
    {"from": "indices",                "to": "logarithms"},
    {"from": "indices",                "to": "sequence_series"},
    {"from": "angles",                 "to": "plane_shapes"},
    {"from": "angles",                 "to": "construction"},
    {"from": "plane_shapes",           "to": "similar_shapes"},
    {"from": "plane_shapes",           "to": "pythagoras_theorem"},
    {"from": "plane_shapes",           "to": "mensuration"},
    {"from": "plane_shapes",           "to": "circle_geometry"},
    {"from": "plane_shapes",           "to": "geometric_proofs"},
    {"from": "pythagoras_theorem",     "to": "trigonometric_ratios"},
    {"from": "pythagoras_theorem",     "to": "mensuration"},
    {"from": "trigonometric_ratios",   "to": "sine_cosine_rules"},
    {"from": "trigonometric_ratios",   "to": "bearings_distances"},
    {"from": "mensuration",            "to": "surface_area_volume"},
    {"from": "circle_geometry",        "to": "circle_geometry_2"},
    {"from": "statistics_basic",       "to": "statistics_frequency"},
    {"from": "statistics_frequency",   "to": "statistics_advanced"},
    {"from": "statistics_advanced",    "to": "cumulative_frequency"},
    {"from": "statistics_basic",       "to": "probability"},
    {"from": "logarithms",             "to": "sequence_series"}
  ]
}