Year 9 Mathematics Notes

Recognise rational and irrational numbers, compare real values and use approximations without confusing them with exact forms.

Apply product, quotient, power, zero and negative exponent laws to numbers and variables.

Express very large and small measurements in scientific notation and reason about orders of magnitude.

Formulate and evaluate practical models using proportional relationships, rates, ratios and scale.

Simplify algebraic expressions, expand binomial products and factorise monic quadratics.

Find distance, midpoint and gradient between points on the Cartesian plane and interpret each result.

Identify and graph quadratic functions and solve monic quadratics graphically, numerically and algebraically.

Choose, formulate and evaluate linear or quadratic models in financial and applied contexts.

Experiment with parameter changes and connect graphical and algebraic representations of related functions.

Apply formulas to right prisms and cylinders with correct nets, dimensions and units.

Solve spatial problems using similarity, Pythagoras and sine, cosine or tangent ratios.

Calculate and interpret absolute, relative and percentage error while recognising measurement estimates.

Apply enlargement transformations and identify what changes and what remains invariant.

Design, test and refine algorithms based on constructions and geometric theorems.

Use similarity to explain constant sine, cosine and tangent ratios and solve right-triangle problems.

Analyse survey methods, population estimates, sampling bias and persuasive data representations.

Represent and compare multiple numerical distributions, choose displays and conduct evidence-based investigations.

List compound outcomes, assign probabilities and compare theoretical models with repeated simulations.