1. Algebra and Equations: Expanding and simplifying expressions, solving simultaneous equations, working with inequalities, and factorizing quadratic equations.
2. Geometry and Trigonometry: Identifying transformations, working with vectors, solving trigonometric problems using sine and cosine rules, and calculating unknown angles and lengths.
3. Probability and Statistics: Constructing and interpreting cumulative frequency graphs, histograms, probability trees, calculating interquartile range, and solving probability-based problems.
4. Graphing and Functions: Finding equations of lines, sketching transformations of functions, solving equations graphically, and working with function notation and inverse functions.
5. Ratio, Proportion, and Percentages: Percentage increase and decrease, direct and inverse proportion, pressure-area relationships, and solving real-life applications with ratio and proportion.
6. Sequences and Proofs: Arithmetic and geometric sequences, justifying algebraic expressions, proof of mathematical identities, and problem-solving with vector and coordinate geometry.