openfreebooks-bookgenerator/data/math-curriculum.json

{
  "title": "Mathematics",
  "subtitle": "Secondary level (S4–S6)",
  "intro": "Structured around three core strands. Chapters marked as available can be read now; others are on the roadmap.",
  "graph": {
    "edges": [
      { "from": "quadratic-equations", "to": "sequences" },
      { "from": "quadratic-equations", "to": "functions-graphs" },
      { "from": "sequences", "to": "linear-programming" },
      { "from": "functions-graphs", "to": "linear-programming" }
    ]
  },
  "strands": [
    {
      "id": "number-algebra",
      "title": "Number & Algebra",
      "chapters": [
        {
          "slug": "quadratic-equations",
          "title": "Quadratic equations",
          "description": "Solve quadratics by factorising, completing the square, and the formula. Model real problems with parabolas and roots.",
          "status": "live",
          "curriculums": ["DSE"]
        },
        {
          "slug": "sequences",
          "title": "Sequences & series",
          "description": "Work with arithmetic and geometric sequences, sigma notation, and simple convergence ideas.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "functions-graphs",
          "title": "Functions & graphs",
          "description": "Study domains, ranges, transformations, and graphs of common functions including quadratics and rationals.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "linear-programming",
          "title": "Linear programming",
          "description": "Graph linear inequalities, identify feasible regions, and optimise objective functions in two variables.",
          "status": "planned",
          "curriculums": ["DSE"]
        }
      ]
    },
    {
      "id": "measures-shape-space",
      "title": "Measures, Shape & Space",
      "chapters": [
        {
          "slug": "trigonometry",
          "title": "Advanced trigonometry",
          "description": "Use radians, identities, and laws of sines and cosines to solve triangles and model periodic phenomena.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "coordinate-geometry",
          "title": "Coordinate geometry of circles",
          "description": "Find equations of circles, tangents, and intersections using coordinate methods and distance.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "circle-properties",
          "title": "Properties of circles",
          "description": "Apply chord, tangent, and angle theorems in circles to prove results and solve geometry problems.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "loci",
          "title": "Loci",
          "description": "Describe and construct loci in the plane, linking geometric constraints to algebraic equations.",
          "status": "planned",
          "curriculums": ["DSE"]
        }
      ]
    },
    {
      "id": "data-handling",
      "title": "Data Handling",
      "chapters": [
        {
          "slug": "dispersion",
          "title": "Measures of dispersion",
          "description": "Interpret range, interquartile range, variance, and standard deviation for comparing data sets.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "probability",
          "title": "Permutations, combinations & probability",
          "description": "Count outcomes with permutations and combinations, then compute probabilities in finite sample spaces.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "normal-distribution",
          "title": "Normal distribution & z-scores",
          "description": "Model continuous data with the normal curve, standardise with z-scores, and read probabilities from tables.",
          "status": "planned",
          "curriculums": ["DSE"]
        },
        {
          "slug": "statistical-literacy",
          "title": "Statistical literacy",
          "description": "Evaluate claims in media and research: sampling bias, correlation versus causation, and misleading charts.",
          "status": "planned",
          "curriculums": ["DSE"]
        }
      ]
    }
  ]
}