Mathematics

Content Knowledge

  • Number and Algebra
    • Numbers and their operations
    • Ratio and proportion
    • Percentage
    • Rate and speed
    • Algebraic expressions and formulae
    • Functions and graphs
    • Equations and inequalities
    • Indices and surds
    • Set language and notation
    • Matrices
    • Polynomials and partial fractions
    • Binomial expansions
    • Power, exponential, logarithmic and modulus functions
    • Problems in real-world contexts
  • Geometry and Measurement
    • Angles, triangles and polygons
    • Congruence and similarity
    • Properties of circles
    • Pythagoras’ theorem and trigonometry
    • Mensuration
    • Coordinate geometry
    • Vectors in two dimensions
    • Trigonometric functions, identities and equations
    • Coordinate geometry in two dimensions
    • Proofs in plane geometry
    • Problems in real-world contexts
  • Statistics and Probability
    • Data analysis
    • Probability
  • Calculus
    • Differentiation and integration

Self-directed Learning