Expand algebraic expressions including binomial products, perfect squares, and the difference of two squares.

Factorise algebraic expressions by taking out common factors, factorising monic quadratics and special forms, and apply these skills to simplify algebraic fractions.

Analyse reports of surveys in digital media and elsewhere for information on how data was obtained to estimate population means and medians.

Apply angle properties of parallel lines and polygons, and use similarity and scale to find unknown angles and side lengths in geometric problems.

Design and conduct repeated chance experiments and simulations using digital tools to compare probabilities of simple events to related compound events.

Choose appropriate forms of display or visualisation for a given type of data, justify selections and interpret displays in context.

Represent and compare distributions of multiple data sets, considering centre, spread, shape and the effect of outliers.

List all outcomes for compound events with and without replacement, using lists, tree diagrams, tables or arrays, and assign probabilities to outcomes.

Find the gradient of a line segment, the midpoint of an interval and the distance between two points on the Cartesian plane.

Use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts.

Apply the enlargement transformation to shapes and objects, identifying what stays the same and what changes.