Usabowl logo

Knowledge Graph

Map your learning journey through prerequisite relationships and mastery tracking.

Learning Progressions

Logical paths through the curriculum — each step builds on the previous.

Integers & Number LineFractions — BasicsDecimals & Place ValuePercentages — BasicsRatio & Proportion
Order of OperationsLinear EquationsQuadratic EquationsIntroduction to FunctionsLimitsDifferentiationIntegration
Area & PerimeterGeometry Basics — AnglesDistance & MidpointCoordinate Geometry — Slope & LineTrigonometry — Right Triangles
LimitsDifferentiationIntegrationSeries and ConvergenceSequences and ConvergenceFirst-Order ODEs
VectorsMatricesVector SpacesLinear TransformationsEigenvalues and Eigenvectors
Logic and ProofsSet TheoryGroup TheoryRings and Fields

Curriculum Structure

The full hierarchy: Level → Strand → Topic.

JHS· 43 topics
Number · 19Algebra · 8Data · 7Geometry · 9
SHS· 33 topics
Algebra · 10Geometry · 8Number · 6Sequences · 2Surds · 1Data · 4Matrices · 1Vectors · 1
Advanced Mathematics· 17 topics
Calculus · 4Limits · 1Matrices · 1Vectors · 1Linear Algebra · 3Discrete Mathematics · 4Probability & Statistics · 3
Tertiary Mathematics· 10 topics
Real Analysis · 3Differential Equations · 2Abstract Algebra · 2Complex Analysis · 2Numerical Mathematics · 1