Math Lessons

Interactive mathematical learning experiences with calculators, step-by-step explanations, and practice problems.

Perfect Square Expansion

Use an area model to see why a squared binomial creates three terms.

Turn algebra language into accurate expressions and avoid common bracket mistakes.

Build precise number language before formal algebra and proof.

Write whole-number division as divisor × quotient + remainder, then check that the remainder is valid.

Recognise quadratic, cubic, reciprocal and exponential graph shapes by their key features.

Use function notation, compose and invert simple functions, then describe graph transformations.

Read and build straight-line equations, then use coordinates to find midpoints and distances.

Spot patterns, find an nth term, and distinguish arithmetic from geometric sequences.

Build the four core methods—simplify, share, unitary, and rates—with clear Lower Secondary examples and practice.

Simplify ratios, share quantities, and solve direct and inverse proportion problems with clear exam-ready methods.