Math Guides

Explore our collection of interactive mathematics guides and tutorials.

Master translations, reflections, stretches and compressions of function graphs using systematic rules.

Understand the limit definition of the derivative and how instantaneous rate of change emerges from average rates.

Use derivatives to find turning points, sketch curves, solve optimisation problems and analyse rates of change.

Understand the shape, period, amplitude and phase shift of sine, cosine and tangent graphs.

Study the equations and geometric properties of circles, ellipses, parabolas and hyperbolas.

Explore arithmetic and geometric sequences, their sum formulas, and convergence of infinite series.