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Enhance curriculum catalog functionality: Update CONTRIBUTING.md to reflect changes in curriculum structure, including the introduction of curriculumCoverage for frameworks. Modify frontend components to support a new comparison view for Mathematics, allowing users to compare curricula. Update catalog data to include "Common Core" and improve curriculum filtering logic. Enhance styles for better visual representation of curriculum badges and Mermaid diagrams. Adjust TypeScript types to accommodate new features and ensure backward compatibility with legacy curriculum data.

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Hananoshika Yomaru 2026-05-20 14:02:29 -07:00
parent ede9a7aa63
commit 5175811579
34 changed files with 3702 additions and 176 deletions
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2
data/catalog.json
View file

@ -1,7 +1,7 @@
{
"title": "Curriculum Catalog",
"subtitle": "Browse chapters by subject and curriculum",
"curriculums": ["Foundation", "DSE", "IB", "A-Level", "AP", "IGCSE"],
"curriculums": ["Foundation", "DSE", "IB", "A-Level", "AP", "IGCSE", "Common Core"],
"subjects": [
{ "id": "math", "name": "Mathematics", "banner": "/catalog/banners/math.webp" },
{ "id": "science", "name": "Science" },

12
data/catalog.types.ts
View file

@ -1,11 +1,19 @@
export type CatalogChapterTier = "foundation" | "non-foundation";
/** Compare matrix + filter relevance per framework label. */
export type CurriculumCoverageRole = "core" | "extension" | "related";
export type CurriculumCoverage = Partial<Record<string, CurriculumCoverageRole>>;
export type CatalogChapter = {
slug: string;
title: string;
description: string;
status: "live" | "planned";
curriculums: string[];
/** @deprecated Prefer curriculumCoverage; kept for older JSON during migration. */
curriculums?: string[];
/** Per-framework role for Compare matrix and catalog filters (keys = framework labels). */
curriculumCoverage?: CurriculumCoverage;
/** DSE compulsory tier; omit = foundation. */
tier?: CatalogChapterTier;
};
@ -42,4 +50,4 @@ export type CatalogData = {
subjects: CatalogSubject[];
};
export type CatalogViewMode = "linear" | "tree";
export type CatalogViewMode = "linear" | "tree" | "compare";

4
data/faq.json
View file

@ -115,7 +115,7 @@
"type": "standard",
"question": "What are curriculum labels on the catalog?",
"answer": [
"Each subject in the catalog has a set of curricula you can filter by — exam boards, school programs, and similar labels — so you can see which chapters fit your syllabus.",
"Each subject in the catalog has a set of curricula you can filter by — exam boards, school programs, and similar labels — so you can see which chapters fit your syllabus. For Mathematics, the Compare tab documents how frameworks differ and how chapters map to them.",
"We try to keep chapter structure and prerequisite maps compatible with as many curricula as possible. We do our best, but coverage is not perfect; the catalog will grow and improve as more people contribute.",
"Those labels appear only in the catalog (badges and filters), not inside chapter pages. You choose what applies to you on the catalog; inside a chapter, the focus stays on the topic itself."
]
@ -125,7 +125,7 @@
"type": "standard",
"question": "How do I find a chapter?",
"answer": [
"Open the catalog for a subject — list view by default, or map view to follow prerequisites. Use curriculum filters if you need to narrow the list.",
"Open the catalog for a subject — list view by default, map view for prerequisites, or (for Mathematics) Compare for how popular curricula relate to our chapters. Use curriculum filters on list and map if you need to narrow the list.",
"Press ⌘K or Ctrl+K (or open Search in the header) to search live chapter pages. The dedicated search page indexes chapter content, not every site page."
]
},

740
data/math-curriculum.json
View file

@ -1,51 +1,204 @@
{
"title": "Mathematics",
"subtitle": "HKDSE Compulsory Part (S4–S6)",
"intro": "Topic units across three strands. The map shows required prerequisites; the list follows a readable teaching order.",
"intro": "Topic units across three strands, shaped for learners worldwide. The map shows required prerequisites; the list follows a readable teaching order; Compare explains how chapters relate to popular curricula.",
"graph": {
"edges": [
{ "from": "counting-and-numbers", "to": "basic-math-notation" },
{ "from": "basic-math-notation", "to": "properties-of-operations" },
{ "from": "properties-of-operations", "to": "written-calculation" },
{ "from": "written-calculation", "to": "directed-numbers-rates" },
{ "from": "directed-numbers-rates", "to": "polynomials-expansion-factorisation" },
{ "from": "polynomials-expansion-factorisation", "to": "algebraic-fractions-formulas" },
{ "from": "polynomials-expansion-factorisation", "to": "linear-equations-two-unknowns" },
{ "from": "linear-equations-two-unknowns", "to": "linear-inequalities-one-unknown" },
{ "from": "polynomials-expansion-factorisation", "to": "laws-of-indices" },
{ "from": "laws-of-indices", "to": "quadratic-equations" },
{ "from": "polynomials-expansion-factorisation", "to": "factor-remainder-theorems" },
{ "from": "quadratic-equations", "to": "factor-remainder-theorems" },
{ "from": "quadratic-equations", "to": "complex-numbers" },
{ "from": "quadratic-equations", "to": "functions-graphs" },
{ "from": "quadratic-equations", "to": "sequences-series" },
{ "from": "functions-graphs", "to": "exponential-logarithmic" },
{ "from": "functions-graphs", "to": "variations" },
{ "from": "functions-graphs", "to": "sequences-series" },
{ "from": "functions-graphs", "to": "linear-programming" },
{ "from": "sequences-series", "to": "linear-programming" },
{ "from": "polynomials-expansion-factorisation", "to": "coordinate-geometry-foundations" },
{ "from": "quadratic-equations", "to": "coordinate-circles" },
{ "from": "functions-graphs", "to": "advanced-trigonometry" },
{ "from": "coordinate-geometry-foundations", "to": "deductive-geometry" },
{ "from": "coordinate-geometry-foundations", "to": "coordinate-circles" },
{ "from": "deductive-geometry", "to": "congruence-similarity" },
{ "from": "congruence-similarity", "to": "pythagoras-theorem" },
{ "from": "pythagoras-theorem", "to": "introduction-trigonometry" },
{ "from": "introduction-trigonometry", "to": "mensuration-3d" },
{ "from": "introduction-trigonometry", "to": "advanced-trigonometry" },
{ "from": "coordinate-circles", "to": "circle-properties" },
{ "from": "deductive-geometry", "to": "circle-properties" },
{ "from": "coordinate-circles", "to": "loci" },
{ "from": "circle-properties", "to": "loci" },
{ "from": "directed-numbers-rates", "to": "statistical-charts-averages" },
{ "from": "statistical-charts-averages", "to": "measures-dispersion" },
{ "from": "statistical-charts-averages", "to": "basic-probability" },
{ "from": "basic-probability", "to": "permutations-combinations-probability" },
{ "from": "measures-dispersion", "to": "normal-distribution-z-scores" },
{ "from": "measures-dispersion", "to": "statistical-literacy" },
{ "from": "basic-probability", "to": "statistical-literacy" },
{ "from": "permutations-combinations-probability", "to": "statistical-literacy" }
{
"from": "counting-and-numbers",
"to": "basic-math-notation"
},
{
"from": "basic-math-notation",
"to": "properties-of-operations"
},
{
"from": "properties-of-operations",
"to": "written-calculation"
},
{
"from": "written-calculation",
"to": "integer-foundations"
},
{
"from": "written-calculation",
"to": "rational-number-operations"
},
{
"from": "integer-foundations",
"to": "integer-arithmetic"
},
{
"from": "rational-number-operations",
"to": "percentage-applications"
},
{
"from": "rational-number-operations",
"to": "ratios-and-rates-foundation"
},
{
"from": "percentage-applications",
"to": "ratios-and-rates-foundation"
},
{
"from": "integer-arithmetic",
"to": "directed-numbers-rates"
},
{
"from": "ratios-and-rates-foundation",
"to": "directed-numbers-rates"
},
{
"from": "directed-numbers-rates",
"to": "polynomials-expansion-factorisation"
},
{
"from": "polynomials-expansion-factorisation",
"to": "algebraic-fractions-formulas"
},
{
"from": "polynomials-expansion-factorisation",
"to": "linear-equations-two-unknowns"
},
{
"from": "linear-equations-two-unknowns",
"to": "linear-inequalities-one-unknown"
},
{
"from": "polynomials-expansion-factorisation",
"to": "laws-of-indices"
},
{
"from": "laws-of-indices",
"to": "quadratic-equations"
},
{
"from": "polynomials-expansion-factorisation",
"to": "factor-remainder-theorems"
},
{
"from": "quadratic-equations",
"to": "factor-remainder-theorems"
},
{
"from": "quadratic-equations",
"to": "complex-numbers"
},
{
"from": "quadratic-equations",
"to": "functions-graphs"
},
{
"from": "quadratic-equations",
"to": "sequences-series"
},
{
"from": "functions-graphs",
"to": "exponential-logarithmic"
},
{
"from": "functions-graphs",
"to": "variations"
},
{
"from": "functions-graphs",
"to": "sequences-series"
},
{
"from": "functions-graphs",
"to": "linear-programming"
},
{
"from": "sequences-series",
"to": "linear-programming"
},
{
"from": "polynomials-expansion-factorisation",
"to": "coordinate-geometry-foundations"
},
{
"from": "quadratic-equations",
"to": "coordinate-circles"
},
{
"from": "functions-graphs",
"to": "advanced-trigonometry"
},
{
"from": "coordinate-geometry-foundations",
"to": "deductive-geometry"
},
{
"from": "coordinate-geometry-foundations",
"to": "coordinate-circles"
},
{
"from": "deductive-geometry",
"to": "congruence-similarity"
},
{
"from": "congruence-similarity",
"to": "pythagoras-theorem"
},
{
"from": "pythagoras-theorem",
"to": "introduction-trigonometry"
},
{
"from": "introduction-trigonometry",
"to": "mensuration-3d"
},
{
"from": "introduction-trigonometry",
"to": "advanced-trigonometry"
},
{
"from": "coordinate-circles",
"to": "circle-properties"
},
{
"from": "deductive-geometry",
"to": "circle-properties"
},
{
"from": "coordinate-circles",
"to": "loci"
},
{
"from": "circle-properties",
"to": "loci"
},
{
"from": "directed-numbers-rates",
"to": "statistical-charts-averages"
},
{
"from": "statistical-charts-averages",
"to": "measures-dispersion"
},
{
"from": "statistical-charts-averages",
"to": "basic-probability"
},
{
"from": "basic-probability",
"to": "permutations-combinations-probability"
},
{
"from": "measures-dispersion",
"to": "normal-distribution-z-scores"
},
{
"from": "measures-dispersion",
"to": "statistical-literacy"
},
{
"from": "basic-probability",
"to": "statistical-literacy"
},
{
"from": "permutations-combinations-probability",
"to": "statistical-literacy"
}
]
},
"strands": [
@ -58,130 +211,400 @@
"title": "Counting and numbers",
"description": "Count from zero, spot patterns, add, multiply, and divide; then meet place value and big numbers from hundreds to billions.",
"status": "live",
"curriculums": ["Foundation"]
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"DSE": "related",
"IB": "related",
"A-Level": "related",
"AP": "related",
"Gaokao": "related"
}
},
{
"slug": "basic-math-notation",
"title": "Basic math notation",
"description": "Learn the names and meanings of plus, minus, times, divide, equals, brackets, and other signs used in number sentences.",
"status": "live",
"curriculums": ["Foundation"]
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"DSE": "related",
"IB": "related",
"A-Level": "related",
"AP": "related",
"Gaokao": "related"
}
},
{
"slug": "properties-of-operations",
"title": "Properties of operations",
"description": "See why order, grouping, and distribution can change how you write a sum or product without changing the result — with interactive area and dot models.",
"status": "live",
"curriculums": ["Foundation"]
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"DSE": "related",
"IB": "related",
"A-Level": "related",
"AP": "related",
"Gaokao": "related"
}
},
{
"slug": "written-calculation",
"title": "Written calculation",
"description": "Add, subtract, multiply, and divide whole numbers using vertical written form: align columns, regroup, and read the result.",
"status": "live",
"curriculums": ["Foundation"]
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"DSE": "related",
"IB": "related",
"A-Level": "related",
"AP": "related",
"Gaokao": "related"
}
},
{
"slug": "integer-foundations",
"title": "Integer foundations",
"description": "Model directed magnitude on number lines; use the zero principle and tiles to add and subtract integers, and see subtraction as adding an opposite.",
"status": "planned",
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"IB": "related",
"A-Level": "related",
"AP": "related",
"DSE": "related",
"Gaokao": "related"
}
},
{
"slug": "integer-arithmetic",
"title": "Integer arithmetic",
"description": "Multiply and divide integers from models to symbolic rules; apply order of operations with signed numbers in multi-step expressions.",
"status": "planned",
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"IB": "related",
"A-Level": "related",
"AP": "related",
"DSE": "related",
"Gaokao": "related"
}
},
{
"slug": "rational-number-operations",
"title": "Fractions and decimals",
"description": "Convert between fractions, terminating decimals, and repeating decimals; add, subtract, multiply, and divide rational numbers and mixed numbers.",
"status": "planned",
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"IB": "related",
"A-Level": "related",
"AP": "related",
"DSE": "related",
"Gaokao": "related"
}
},
{
"slug": "percentage-applications",
"title": "Percentage applications",
"description": "Relate fractions and decimals to base-100 ratios; calculate percent increase and decrease in financial and real-world contexts.",
"status": "planned",
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"IB": "related",
"A-Level": "related",
"AP": "related",
"DSE": "related",
"Gaokao": "related"
}
},
{
"slug": "ratios-and-rates-foundation",
"title": "Ratios & rates foundations",
"description": "Formulate part-to-part and part-to-whole ratios, find equivalent ratios, compute unit rates, and graph proportional relationships.",
"status": "planned",
"curriculumCoverage": {
"Foundation": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"IB": "related",
"A-Level": "related",
"AP": "related",
"DSE": "related",
"Gaokao": "related"
}
},
{
"slug": "directed-numbers-rates",
"title": "Directed numbers, rates & ratios",
"description": "Operate with negative numbers and solve ratio, rate, and proportion problems in context.",
"status": "live",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"Foundation": "related",
"IB": "related",
"A-Level": "related",
"AP": "related",
"Gaokao": "related"
}
},
{
"slug": "polynomials-expansion-factorisation",
"title": "Polynomials: expansion & factorisation",
"description": "Expand products, collect like terms, and factorise expressions using common factors and identities.",
"status": "live",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"Gaokao": "core",
"Foundation": "related",
"AP": "related"
}
},
{
"slug": "algebraic-fractions-formulas",
"title": "Algebraic fractions & formulas",
"description": "Simplify algebraic fractions and change the subject of formulas in applied contexts.",
"status": "live",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"Common Core": "related",
"Singapore": "related",
"UK GCSE": "core",
"Gaokao": "related",
"Foundation": "related",
"AP": "related"
}
},
{
"slug": "linear-equations-two-unknowns",
"title": "Linear equations in two unknowns",
"description": "Solve simultaneous linear equations by substitution, elimination, and graphical interpretation; classify unique, parallel, and coincident cases.",
"status": "live",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"Common Core": "core",
"Singapore": "core",
"UK GCSE": "core",
"Gaokao": "core",
"AP": "related",
"Foundation": "related"
}
},
{
"slug": "linear-inequalities-one-unknown",
"title": "Linear inequalities in one unknown",
"description": "Solve and represent linear inequalities on the number line and in word problems.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"Common Core": "core",
"UK GCSE": "core",
"IB": "related",
"A-Level": "related",
"AP": "related",
"Singapore": "related",
"Gaokao": "related"
}
},
{
"slug": "laws-of-indices",
"title": "Laws of indices",
"description": "Apply index laws to simplify expressions with integer and rational exponents.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"AP": "core",
"Common Core": "core",
"UK GCSE": "core",
"Singapore": "core",
"Gaokao": "core",
"Foundation": "related"
}
},
{
"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"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"AP": "core",
"Common Core": "core",
"UK GCSE": "core",
"Singapore": "core",
"Gaokao": "core",
"Foundation": "related"
}
},
{
"slug": "factor-remainder-theorems",
"title": "Factor & remainder theorems",
"description": "Use the factor and remainder theorems to factorise higher-degree polynomials and solve related equations.",
"status": "planned",
"curriculums": ["DSE"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IB": "extension",
"A-Level": "extension",
"IGCSE": "related",
"Gaokao": "related",
"AP": "related"
}
},
{
"slug": "complex-numbers",
"title": "Complex numbers",
"description": "Represent complex numbers in Cartesian form and perform operations including conjugates and division.",
"status": "planned",
"curriculums": ["DSE"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IB": "extension",
"A-Level": "extension",
"Gaokao": "related",
"IGCSE": "related",
"AP": "related"
}
},
{
"slug": "functions-graphs",
"title": "Functions & graphs",
"description": "Study domains, ranges, transformations, and graphs of common functions including quadratics and rationals.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"AP": "core",
"Common Core": "core",
"UK GCSE": "core",
"Singapore": "core",
"Gaokao": "core",
"Foundation": "related"
}
},
{
"slug": "exponential-logarithmic",
"title": "Exponential & logarithmic functions",
"description": "Explore laws of logarithms, exponential growth and decay, and sketch related graphs.",
"status": "planned",
"curriculums": ["DSE"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"AP": "core",
"Common Core": "core",
"UK GCSE": "core",
"Gaokao": "core",
"Singapore": "related",
"Foundation": "related"
}
},
{
"slug": "sequences-series",
"title": "Sequences & series",
"description": "Work with arithmetic and geometric sequences, sigma notation, and finite summation formulas.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"Common Core": "related",
"UK GCSE": "core",
"AP": "related",
"Gaokao": "core",
"Singapore": "related",
"Foundation": "related"
}
},
{
"slug": "variations",
"title": "Variations",
"description": "Model direct, inverse, joint, and partial variation and solve combined variation problems.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IB": "related",
"A-Level": "related",
"IGCSE": "related",
"Common Core": "related",
"Singapore": "related"
}
},
{
"slug": "linear-programming",
"title": "Linear programming",
"description": "Graph linear inequalities, identify feasible regions, and optimise objective functions in two variables.",
"status": "planned",
"curriculums": ["DSE"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IB": "extension",
"A-Level": "related",
"AP": "related",
"IGCSE": "related"
}
}
]
},
@ -194,73 +617,162 @@
"title": "Coordinate geometry foundations",
"description": "Plot points, find distances and midpoints, and work with slopes of lines in the Cartesian plane.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"Common Core": "core",
"UK GCSE": "core",
"IB": "core",
"A-Level": "related",
"Singapore": "core",
"AP": "related",
"Gaokao": "related"
}
},
{
"slug": "deductive-geometry",
"title": "Deductive geometry",
"description": "Prove angle and side relationships for intersecting lines, triangles, and polygons.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"UK GCSE": "core",
"Common Core": "core",
"Singapore": "core",
"IB": "related",
"A-Level": "related",
"Gaokao": "related"
}
},
{
"slug": "congruence-similarity",
"title": "Congruence & similarity",
"description": "Apply congruence and similarity criteria to justify properties of triangles and scale figures.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"UK GCSE": "core",
"Common Core": "core",
"Singapore": "core",
"IB": "related",
"A-Level": "related",
"Gaokao": "related"
}
},
{
"slug": "pythagoras-theorem",
"title": "Pythagoras' theorem",
"description": "Use Pythagoras' theorem and its converse in 2D problems and coordinate settings.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"UK GCSE": "core",
"Common Core": "core",
"Singapore": "core",
"IB": "core",
"A-Level": "related",
"Gaokao": "core",
"AP": "related"
}
},
{
"slug": "introduction-trigonometry",
"title": "Introduction to trigonometry",
"description": "Define sine, cosine, and tangent ratios and solve right-angled triangle problems.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"UK GCSE": "core",
"Common Core": "core",
"Singapore": "core",
"IB": "core",
"A-Level": "related",
"Gaokao": "core",
"AP": "related"
}
},
{
"slug": "mensuration-3d",
"title": "Mensuration in 3D",
"description": "Find volumes and surface areas of prisms, cylinders, pyramids, cones, and spheres.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"UK GCSE": "core",
"Common Core": "core",
"Singapore": "core",
"IB": "related",
"A-Level": "related",
"Gaokao": "related"
}
},
{
"slug": "coordinate-circles",
"title": "Coordinate geometry of circles",
"description": "Find equations of circles, tangents, and intersections using coordinate methods and distance.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "related",
"IB": "extension",
"A-Level": "extension",
"Gaokao": "related",
"UK GCSE": "related",
"AP": "related"
}
},
{
"slug": "advanced-trigonometry",
"title": "Advanced trigonometry",
"description": "Use sine and cosine rules, radians, and trigonometric graphs in 2D and 3D applications.",
"status": "planned",
"curriculums": ["DSE"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IGCSE": "core",
"IB": "core",
"A-Level": "core",
"AP": "core",
"UK GCSE": "core",
"Gaokao": "core",
"Common Core": "related",
"Singapore": "related"
}
},
{
"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"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IGCSE": "core",
"UK GCSE": "core",
"IB": "related",
"A-Level": "related",
"Gaokao": "related",
"Singapore": "related"
}
},
{
"slug": "loci",
"title": "Loci",
"description": "Describe and construct loci in the plane, linking geometric constraints to algebraic equations.",
"status": "planned",
"curriculums": ["DSE"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IGCSE": "related",
"A-Level": "related",
"IB": "related",
"UK GCSE": "related"
}
}
]
},
@ -273,44 +785,98 @@
"title": "Charts & averages",
"description": "Organise data with tables and charts and calculate mean, median, and mode.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"Common Core": "core",
"UK GCSE": "core",
"Singapore": "core",
"AP": "related",
"Gaokao": "related",
"A-Level": "related"
}
},
{
"slug": "measures-dispersion",
"title": "Measures of dispersion",
"description": "Interpret range, interquartile range, variance, and standard deviation for comparing data sets.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"A-Level": "related",
"AP": "related",
"Common Core": "core",
"UK GCSE": "core",
"Singapore": "related",
"Gaokao": "related"
}
},
{
"slug": "basic-probability",
"title": "Basic probability",
"description": "Calculate theoretical and experimental probabilities for simple events and complements.",
"status": "planned",
"curriculums": ["DSE"]
"curriculumCoverage": {
"DSE": "core",
"IGCSE": "core",
"IB": "core",
"Common Core": "core",
"UK GCSE": "core",
"Singapore": "core",
"AP": "related",
"A-Level": "related",
"Gaokao": "related"
}
},
{
"slug": "permutations-combinations-probability",
"title": "Permutations, combinations & probability",
"description": "Count outcomes with permutations and combinations, then compute probabilities in finite sample spaces.",
"status": "planned",
"curriculums": ["DSE"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IGCSE": "extension",
"IB": "core",
"A-Level": "core",
"AP": "related",
"Gaokao": "related",
"Common Core": "related"
}
},
{
"slug": "normal-distribution-z-scores",
"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"],
"tier": "non-foundation"
"tier": "non-foundation",
"curriculumCoverage": {
"DSE": "extension",
"IB": "core",
"A-Level": "core",
"AP": "related",
"IGCSE": "related",
"Gaokao": "related",
"Common Core": "related"
}
},
{
"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"]
"curriculumCoverage": {
"DSE": "core",
"IB": "related",
"Common Core": "related",
"IGCSE": "related",
"AP": "related",
"A-Level": "related",
"Singapore": "related"
}
}
]
}