Mathematics

Module 1: Percentages, Probability, and Measures

Students develop secure understanding of percentage change, including reverse percentages, interest, and depreciation, alongside unit conversions, bounds, and compound measures. Probability is explored through outcomes, relative frequency, tree diagrams, and Venn diagrams, enabling students to reason about uncertainty and risk.

Module 2: Indices, Algebraic Manipulation, and Quadratics

This module strengthens algebraic fluency, including index laws, expanding and factorising expressions, solving equations, and working with quadratic graphs. Students learn to solve quadratic and simultaneous equations using multiple methods, developing algebraic confidence and precision.

Module 3: Data Handling and Statistical Representations

Students explore a wide range of statistical representations, including pie charts, frequency polygons, cumulative frequency graphs, box plots, and histograms. They analyse and compare data distributions and apply statistical reasoning, including capture–recapture methods.

Module 4: Ratio, Proportion, and Graphs

This module builds proportional reasoning through ratio and direct and inverse proportion, both numerically and algebraically. Students develop graphing skills, including linear and non-linear graphs, gradients, and interpreting real-life graphical data.

Module 5: Trigonometry, Pythagoras, and Geometric Reasoning

Students apply Pythagoras’ theorem and trigonometry in two and three dimensions, including exact values and non-right-angled triangles. Similarity, congruence, and geometric reasoning are developed through structured problem-solving.

Module 6: Algebra, Surds, and Circle & Prism Geometry

This module deepens algebraic understanding through surds, algebraic fractions, functions, and algebraic proof. Students also apply geometric knowledge to circles and prisms, including area, circumference, surface area, and volume. The year concludes with end-of-year examinations.

Module 1: Vectors, Circles, and Geometric Applications

Students develop confidence with vectors, circle theorems, loci, constructions, and simultaneous equations, including systems involving quadratics and circles. Geometric reasoning and problem-solving are further strengthened.

Module 2: Algebra, Trigonometry, and Graphical Methods

This module focuses on advanced algebraic and graphical techniques, including graph transformations, trigonometric graphs, inequalities, iteration, bearings, algebraic proof, and velocity–time graphs. Students prepare for mock examinations using both calculator and non-calculator papers.

Modules 3–5: Review and Exam Preparation

Following mock examinations, teaching is shaped by assessment data to address identified gaps. Students engage in targeted reteaching, structured walking-talking mock exams, and extensive exam practice to refine technique and build confidence ahead of GCSE examinations.