Mathematics Topic Coverage

Algebra I

  • Building blocks of Algebra I

  • Linear expressions, equations

  • Linear inequalities

  • Functions

  • Systems of linear equations

  • Arithmetic sequences

  • Exponents

  • Polynomials

  • Quadratics

  • Roots and irrationals

  • Basic statistics

  • Many other relevant topics

Algebra II

  • Algebra I review

  • Overview of functions

  • Exponents and logarithms

  • Sequences and series

  • Quadratic functions

  • Function transformations

  • Radicals and quadratics

  • Complex numbers (imaginary)

  • Polynomial and rational functions

  • Circular functions

  • Probability and statistics

  • Many other relevant topics

Geometry

  • Points, lines, planes and angles

  • Transformations and congruence

  • Parallel and perpendicular lines

  • Tools of coordinate geometry

  • Quadrilaterals

  • Triangles

  • Circle geometry

  • Similarity

  • Geometric probability

  • Area and perimeter

  • Surface area and volume

  • Many other relevant topics

Trigonometry

  • Radians, arcs and sectors

  • Unit circle

  • Triangle geometry

  • Reciprocal trigonometric functions

  • Trigonometric identities

  • Compound angle formulae

  • Double angle formulae

  • Trigonometric graphs

  • Cosine and sine rules

  • Reciprocal trigonometric graphs

  • Inverse trigonometric functions

  • Many other relevant topics

Statistics

  • Exploring one-variable data

  • Exploring two-variable data

  • Collecting data

  • Probability

  • Random Variables

  • Probability distributions

  • Sampling distributions

  • Confidence intervals

  • Normal distribution

  • Inferential statistics

  • Testing proportions and means

  • Many other relevant topics

Calculus

  • Limits and continuity

  • Differentiation

  • Basic derivative rules

  • Composite functions

  • Implicit and inverse functions

  • Context of differentiation

  • Applications of differentiation

  • Integration

  • Differential equations

  • Applications of integration

  • Parametric equations

  • Many other relevant topics

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