Index

1. Introduction to GCSE Mathematics

– Overview of the GCSE Mathematics Curriculum
– Assessment Objectives and Exam Structure

2. Number and Algebra

– Arithmetic and Number Operations
– Integers, Fractions, Decimals, and Percentages
– Ratios and Proportions
– Algebraic Manipulation
– Expressions, Equations, and Inequalities
– Sequences and Patterns
– Graphs and Functions
– Linear and Non-linear Graphs
– Functions and Relations

3. Geometry and Measures

– Basic Geometry
– Shapes, Angles, and Symmetry
– Perimeter, Area, and Volume
– Coordinate Geometry
– The Cartesian Plane
– Distance and Midpoint
– Transformations
– Translation, Reflection, Rotation, and Enlargement
– Trigonometry
– Sine, Cosine, and Tangent Ratios
– Solving Right-Angled Triangles

4. Statistics and Probability

– Data Handling
– Collecting, Representing, and Interpreting Data
– Measures of Central Tendency (Mean, Median, Mode)
– Probability
– Basic Probability Principles
– Probability of Combined Events

5. Problem Solving and Mathematical Reasoning

– Applying Mathematics to Real-World Problems
– Word Problems and Case Studies
– Logical Reasoning and Proof
– Deductive Reasoning
– Constructing and Understanding Proofs

6. Preparation and Revision Strategies

– Effective Study Techniques
– Creating a Revision Plan
– Practice Papers and Mock Exams
– Exam Techniques
– Time Management
– Answering Strategies and Common Pitfalls

7. Resources and Further Reading

– Recommended Textbooks and Online Resources
– Mathematics Practice and Revision Websites