Grade 12 Mathematics

Welcome to the Grade 12 Mathematics portal — your complete study guide aligned to the CAPS curriculum. Every topic is covered with deep-dive explanations, worked examples, common mistakes, and exam strategies.

Paper 1 — Algebra, Functions & Calculus (150 marks)

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Paper 2 — Geometry, Trigonometry & Statistics (150 marks)

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⚠️ Before You Start: Knowledge We Assume You Have

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Use this flow to avoid overload:

1. Start here: Grade 12 Fundamentals (Assumed You Know)
2. Use shared skill pages when needed: Appendix
3. If a gap remains, step down by level:
   • Grade 11 Fundamentals
   • Grade 10 Fundamentals

Core quick-fix links

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• Fractions Toolkit (Shared Appendix)
• Factoring & When You Can Cancel
• Exponents & Exponential Form
• Other Skills That Trip You Up

By Term (CAPS Teaching Order)

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Term 1

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1. Patterns, Sequences & Series — Arithmetic, Geometric, Quadratic, Sigma, $S_\infty$
2. Functions & Inverse Functions — Linear, Quadratic, Hyperbola, Exponential, Logarithmic
3. Finance, Growth & Decay — Annuities, Future/Present Value, Interest Rates
4. Trigonometry — Compound Angles, Double Angles, Identities, General Solutions

Term 2

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1. Polynomials — Factor/Remainder Theorem, Solving Cubics
2. Differential Calculus — First Principles, Power Rule, Tangents, Cubics, Optimization
3. Analytical Geometry — Circles, Tangents, Distance/Midpoint/Gradient

Term 3

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1. Euclidean Geometry — Proportionality, Similarity, Pythagoras Proof
2. Statistics — Scatter Plots, Regression, Correlation
3. Probability — Rules & Identities, Counting Principle, Factorials

Term 4

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• Revision & Exam Preparation