Mathematics — Grade 11

Exponents and Surds

This unit builds on the exponent work you did in Grade 10. You learned about integer exponents like x^2 and x^{-3}. Now you will work with fractional exponents and discover how exponents connect to roots.

Equations and Inequalities

Equations and inequalities are essential tools in algebra. They help you find unknown values, understand relationships between quantities, and solve real-world problems.

Number Patterns: Quadratic Sequences

In Grade 10, you studied arithmetic sequences where the difference between consecutive terms stays constant. Now you will explore quadratic sequences, where the first differences change, but those changes follow a predictable pattern.

Analytical Geometry: Lines, Angles, and Equations

Analytical geometry joins algebra and geometry on the coordinate plane. You already know how to calculate gradients and distances. Now you will learn to write equations of lines, understand how lines relate to each other, and connect gradients to angles.

Term 1 Revision: Grade 11 Mathematics

This revision unit covers the four main topics from Term 1:

Functions: Understanding Mathematical Relationships

Functions describe how quantities change and relate to each other. In Grade 10, you explored the basic shapes of parabolas, hyperbolas, and exponential graphs. Now you will learn how the parameter p shifts these graphs horizontally, how to find the gradient at any point on a curve, and how to work with trigonometric functions.

Trigonometry: Identities, Reduction Formulae and Equations

This unit builds on the basic trigonometric ratios you learned in Grade 10. You will discover how sine, cosine and tangent connect to each other through identities. You will also learn shortcuts (reduction formulae) to simplify expressions involving any angle, and methods to solve trigonometric equations.

Term 2 Revision: Functions and Trigonometry

This revision unit helps you prepare for your mid-year examination. You will revise the main ideas from Term 2 and practise applying them to exam-style problems.

Mid-Year Examination: Your Complete Review and Success Guide

This revision guide helps you prepare for your Grade 11 Mid-Year Examination. You will bring together everything from Term 1 and Term 2: exponents, surds, equations, number patterns, functions, analytical geometry, and trigonometry.

Measurement: Volume and Surface Area

In this unit, you will work with three-dimensional (3D) shapes. You learned the basics in Grade 10. Now you will apply these skills to more complex problems.

Euclidean Geometry — Circle Geometry

Circle geometry is one of the most important topics in Grade 11 Mathematics. The theorems you learn here connect to each other, forming a system of geometric rules that will sharpen your logical thinking and problem-solving skills.

Trigonometry — Sine, Cosine and Area Rules: Solving Real-World Triangle Problems

In Grade 10, you learned to solve right-angled triangles using SOHCAHTOA. But most triangles in the real world do not have a right angle. This unit gives you tools that work for ANY triangle.

Finance, Growth and Decay

This topic covers two important financial concepts: growth (how money increases over time) and decay (how assets lose value over time).

Probability: Understanding Chance and Uncertainty

Every day, you make decisions based on how likely you think something will happen. You check if it might rain before leaving home. You wonder about your chances in a lucky draw. Insurance companies calculate different prices for different drivers. Probability gives us the mathematical tools to measure and work with uncertainty.

Term 3 Revision: Measurement, Geometry, Trigonometry, Finance & Probability

This revision unit brings together the main topics from Term 3: measurement of 3D shapes, circle geometry, trigonometry rules, finance calculations, and probability. Use it to consolidate your understanding and prepare for exams.

Statistics: Understanding Data

Statistics is about finding patterns in data and understanding how data values vary. You use statistics whenever you check your phone battery usage, track your marks over time, or see trends in the news.

Term 4 Revision: Grade 11 Mathematics

This revision unit brings together everything you have learned in Grade 11 Mathematics. You will review Statistics from Term 4 and consolidate all Paper 1 and Paper 2 topics from the year.

Revision and Final Examinations: Your Complete Grade 11 Mathematics Preparation Guide

This unit prepares you for the Grade 11 Mathematics final examination. You will revise every key concept from the year and learn strategies to help you succeed in the exam.