5 Core clusters for High School Mathematics
1. Algebra & Functions
- Focus: cory symbolic manipulation, functions, and solving problems.
Topics may include:
- Linear & quadratic equations.
- Simultaneous equations.
- Factorising & expanding
- Algebraic fractions.
- Graphs of functions (linear, quadratic, exponential, rational).
- Transformations of graphs.
- Inequalities
- Sequences & Series.
2. Geometry
Topics may include:
- Properties of shapes (triangles, quadrilaterals, circles, etc.)
- Congruence and similarity
- Pythagoras’ theorem.
- Trigonometry (sine, cosine, tangent).
- 3D geometry (volume, surface area)
- Circle theorems
- Vectors
- Coordinate geometry
3. Number & Arithmetic
Focus: understanding numbers, operations, and numerical reasoning.
Topics may include:
- Integers, decimals, fractions
- Powers, roots, indices (including laws of indices).
- Standard form & scientific notation
- Ratio & proportion
- Percentages (increase, decrease, reverse)
- Surds and exact values.
- Estimation and bounds.
4. Probability & Statistics
Focus: Data handling, randomness and inference.
Topics may include:
Focus: Data handling, randomness and inference.
Topics may include:
- Probability (basic and compound)
- Venn diagrams & tree diagrams.
- Expected value
- Representing data (charts, histograms, box plots).
- Averages (mean, median, mode, range).
- Cumulative frequency & quartiles
- Standard deviation (A-level)
- Correlation and regression (introductory)
5. Calculus & Advanced Topics
Focus: Introduction to higher-level math for pre-university learners
Topics may include:
.
Focus: Introduction to higher-level math for pre-university learners
Topics may include:
.
- Limits and continuity (A-level)
- Differentiation (rules, applications)
- Integration (indefinite & definite)
- Kinematics with calculus
- Exponential & logarithmic functions.
- Binomial theorem (expansion)
- Proof (algebraic and geometric).