4.7 Geometric Reasoning

REVISION NOTES

IGCSE Edexcel Mathematics A

4.7.1 Give informal reasons, where required, when arriving at numerical solutions to geometrical problems

4.7.2 Provide reasons, using standard geometrical statements, to support numerical values for angles obtained in any geometrical context involving lines, polygons and circles (Higher Tier Only)

1. Numbers & the Number System

1.1 Integers

1.2 Fractions

1.3 Decimals

1.4 Powers and Roots

1.5 Set Language and Notation

1.6 Percentages

1.7 Ratio and Proportion

1.8 Degree of Accuracy

1.9 Standard Form

1.10 Applying Numbers

1.11 Electronic Calculator

2. Equations, Formulae & Identities

2.1 Use of Symbols

2.2 Algebraic Manipulation

2.3 Expressions and Formulae

2.4 Linear Equations

2.5 Proportion (Higher Tier Only)

2.6 Simultaneous Linear Equations

2.7 Quadratic Equations

2.8 Inequalities

3. Sequences, Functions & Graphs

3.1 Sequences

3.2 Function Notation (Higher Tier Only)

3.3 Graphs

3.4 Calculus (Higher Tier Only)

4. Geometry

4.1 Angles, Lines & Triangles

4.6 Circle Properties

4.7 Geometric Reasoning

4.8 Trigonometry and Pythagoras’ Theorem

4.9 Mensuration of 2D Shapes

4.10 3D Shapes and Volumes

4.11 Similarity

5. Vectors & Transformation Geometry

5.1 Vectors (Higher Tier Only)

5.2 Transformation Geometry

6. Statistics & Probability

6.1 Graphical Representation of Data

6.2 Statistical Measures

6.3 Probability

7. Appendix

7.1 Appendix 1: Foundation Tier Formula Sheet (Given)

7.2 Appendix 2: Foundation Tier Formula Sheet (To Memorise)

7.3 Appendix 3: Higher Tier Formula Sheet (Given)

7.4 Appendix 4: Higher Tier Formula Sheet (To Memorise)

7.5 Appendix 5: Notation

IGCSE Edexcel Mathematics A

4.7 Geometric Reasoning

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