Unit 1 – Algebra

• Revisit negative numbers, BIDMAS, HCF, and LCM.
• Expand and simplify algebraic expressions, including those involving brackets and powers.
• Factorise linear expressions and expand quadratics.
• Work with algebraic fractions.
• Solve linear equations involving negatives and fractions in both coefficients and solutions.

Unit 2 – Percentages

• Convert between decimals and percentages.
• Use decimal multipliers for percentage increase, decrease, and reverse percentages.
• Understand repeated percentage changes.
• Review basic operations with fractions and decimals.
• Convert recurring decimals into fractions and vice versa.

Unit 3 – Transformations

• Apply substitution in algebraic contexts.
• Describe and perform single and combined geometric transformations.
• Understand congruence and similarity.
• Plot and interpret linear graphs using gradients and intercepts.
• Identify midpoints and test whether points lie on a line.

Unit 4 – Angles and Constructions

• Recall and apply angle facts in polygons.
• Calculate interior and exterior angles of regular and irregular shapes.
• Use algebra in angle problems.
• Construct geometric figures with a compass and straightedge.
• Apply loci rules to solve spatial problems.
• Use bearings and create scale drawings.
• Understand basic circle theorems involving angles and radii.

Unit 5 – Powers and Indices

• Apply index laws including negative and zero powers.
• Simplify expressions using indices and evaluate them.
• Work with numbers in standard form and perform calculations.
• Solve equations through trial and improvement in various contexts.

Unit 6 – Speed and Compound Measures

• Rearrange formulas and convert between time units.
• Calculate speed, time, distance, and density.
• Work with compound units and solve related word problems.
• Interpret and construct real-life graphs such as distance-time and conversion graphs.

Unit 7 – Area and Volume

• Calculate area and perimeter of common 2D shapes and compound figures.
• Use algebraic expressions in area problems.
• Recap circle geometry and extend to arcs and sectors.
• Find volume and surface area of prisms including cylinders.
• Convert between different measurement units in practical contexts.

Unit 8 – Probability

• Calculate theoretical probabilities and understand related concepts.
• Work with tree diagrams and sample space grids.
• Distinguish between mutually exclusive and independent events.
• Compare experimental and theoretical probabilities.
• Recognize and account for bias and reliability in experiments.

Unit 9 – Inequalities

• Solve linear inequalities and represent them graphically.
• Identify integer solutions and overlapping inequalities.
• Plot regions defined by inequalities and find satisfying coordinates.

Unit 10 – Data and Averages

• Design effective questionnaires and analyze samples.
• Construct and interpret charts, graphs, and frequency tables.
• Work with two-way tables.
• Calculate and analyze mean, median, mode, and range.
• Understand averages from grouped data and their limitations.