REVISION NOTES

IGCSE Edexcel Mathematics A

2.2 Algebraic Manipulation

2.2.1 Evaluate expressions by substituting numerical values for letters

2.2.2 Collect like terms

2.2.3 Multiply a single term over a bracket

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_001_expanding single brackets

2.2.4 Take out common factors

2.2.5 Expand the product of two simple linear expressions

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_005_Algebraic Fractions: Linear (2)

2.2.6 Understand the concept of a quadratic expression and be able to factorise such expressions (limited to x² + bx + c)

Factorising is the reverse process of expanding.

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_006_Completing the Square (a = 1)

2.2.7 Manipulate algebraic fractions where the numerator and/or the denominator can be numeric, linear or quadratic (Higher Tier Only)

Some equations contain fractional coefficients. A good approach is to multiply the whole equation by a positive whole number, to clear the fractions away. 

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_008_Algebraic Fractions: Quadratic (3)

2.2.8 Complete the square for a given quadratic expression (Higher Tier Only)

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_007_Completing the Square (a ≠ 1)

2.2.9 Use algebra to support and construct proofs (Higher Tier Only)

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_004_Algebraic Fractions: Numeric (1)
edexcel_igcse_mathematics a_topic 13_algebraic manipulation_003_expanding double brackets
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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

2.1 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

3.1 Sequences

3.2 Function Notation (Higher Tier Only)

3.3 Graphs

3.4 Calculus (Higher Tier Only)

4.1 Angles, Lines & Triangles

4.2 Polygons

4.3 Symmetry

4.4 Measures

4.5 Construction

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

5.1 Vectors (Higher Tier Only)

5.2 Transformation Geometry

6.1 Graphical Representation of Data

6.2 Statistical Measures

6.3 Probability

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

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