While the course structure outlines the general topics covered each term, we go a step further by offering small group sessions made up of students from the same school. This allows us to align our support closely with the specific topics being taught in their classrooms. Our sessions reinforce school learning, help students stay on track, and build their confidence—especially as they prepare for exams. We also provide personalised guidance tailored to each student’s individual exam preparation needs.

Lesson 1: Algebraic Techniques - Build core algebra skills including simplifying, expanding, and factorising expressions.

Lesson 2: Laws of Indices - Apply index laws to simplify powers and exponential expressions.

Lesson 3: Working with Surds - Simplify surds and rationalise denominators in exact form.

Lesson 4: Solving Linear Equations & Inequalities - Solve and graph linear equations and inequalities, including those with parameters.

Lesson 5: Quadratic Equations - Use a variety of methods—factoring, completing the square, and the quadratic formula—to solve Lesson 6: Linear Functions and Graphs
Explore linear relationships through equations, tables, and graphs.

Lesson 7: Functions and Relations - Understand the definition of a function, domain and range, and how to represent relations graphically.

Lesson 8: Absolute Value and Piecewise Functions - Solve equations involving absolute values and interpret their graphs.

Lesson 9: Revision

Lesson 10: Topic Test

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Lesson 1: Understanding Functions - Define and evaluate functions, and explore their properties and transformations.

Lesson 2: Function Notation and Graphs - Use function notation and sketch graphs of basic functions and their transformations.

Lesson 3: Inverse and Composite Functions - Investigate inverse and composite functions and their domains.

Lesson 4: Advanced Functions and Relations - Analyse more complex functions and their graphs, including piecewise and step functions.

Lesson 5: Trigonometric Ratios and Applications - Apply trigonometric ratios to solve problems in right-angled triangles and on the unit circle.

Lesson 6: Graphs of Trigonometric Functions - Sketch and interpret sine, cosine, and tangent graphs with transformations.

Lesson 7: Trigonometric Identities and Equations - Use identities to simplify expressions and solve trigonometric equations.

Lesson 8: Applications of Trigonometry
Solve real-world problems using trigonometry, including bearings and area of triangles.

Lesson 9: Revision

Lesson 10: Topic Test

Lesson 1: Further Trigonometry 1 - Explore trigonometric identities and solve equations involving sine, cosine, and tangent.

Lesson 2: Further Trigonometry 2 - Apply the sine and cosine rules, and solve problems involving angles of elevation and depression.

Lesson 3: Introductory Calculus 1 - Understand the concept of a derivative as a rate of change and its graphical interpretation.

Lesson 4: Introductory Calculus 2 - Differentiate basic functions and apply rules of differentiation.

Lesson 5: Calculating with Derivatives - Use derivatives to find gradients, tangents, and solve problems involving motion and optimisation.

Lesson 6: Exponential Functions - Investigate exponential growth and decay, and model real-world scenarios using exponential functions.

Lesson 7: Logarithms 1 - Understand the definition of logarithms and their relationship to exponents.

Lesson 8: Logarithms 2 - Apply logarithmic laws to simplify expressions and solve exponential equations.

Lesson 9: Revision

Lesson 10: Topic Test

Lesson 1: Review of Calculus - Revisit key differentiation concepts and their applications in various contexts.

Lesson 2: Motion in a Straight Line - Apply calculus to model and analyse motion, including velocity and acceleration.

Lesson 3: Probability 1 - Understand basic probability concepts, including sample spaces and events.

Lesson 4: Probability 2 - Explore compound events, conditional probability, and the use of Venn diagrams and two-way tables.

Lesson 5: Guided Practice Exam - Work through a structured practice exam to consolidate understanding and exam technique.

Lesson 6: Discrete Random Variables 1 - Define discrete random variables and calculate probabilities using probability distributions.

Lesson 7: Discrete Random Variables 2 - Calculate expected value (mean) and variance of discrete random variables.

Lesson 8: Discrete Random Variables 3 - Apply discrete probability distributions to real-world contexts and problem-solving.

Lesson 9: Revision

Lesson 10: Topic Test