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Curricula GCSE AQA Maths Higher2. Algebra

2. Algebra

1

Introduction to Algebra

Algebraic Notation

Algebraic Vocabulary

Collecting Like Terms

2

Algebraic Roots & Indices

Algebraic Roots & Indices

3

Expanding Brackets

Expanding & Simplifying Single Brackets

Expanding Double Brackets

Expanding Triple Brackets

4

Factorising

Factorising Out Terms

Factorising Simple Quadratics

Deciding the Factorisation Method

Factorising by Grouping

Factorising Harder Quadratics

Difference of Two Squares

5

Completing the Square

Completing the Square

6

Algebraic Fractions

Simplifying Algebraic Fractions

Solving Equations with Algebraic Fractions

Multiplying & Dividing Algebraic Fractions

Adding & Subtracting Algebraic Fractions

7

Rearranging Formulas

Formulas where Subject Appears Once

Formulas where Subject Appears Twice

8

Algebraic Proof

Algebraic Proof

9

Linear Equations

Solving Linear Equations

10

Quadratic Equations

Solving Quadratics by Factorising

Deciding the Quadratic Method

Completing the Square

The Quadratic Formula

11

Simultaneous Equations

Linear Simultaneous Equations

Solving Quadratic Inequalities

12

Iteration

13

Forming & Solving Equations

Forming Equations from Words

Problem Solving with Equations

Forming Equations from Shapes

14

Functions

Introduction to Functions

Composite Functions

Inverse Functions

15

Coordinate Geometry

Midpoint of a Line

Length of a Line

Gradient of a Line

16

Linear Graphs

Equations of Straight Lines (y = mx + c)

Drawing Straight Line Graphs

Perpendicular Lines

17

Graphs of Functions

Types of Graphs

Solving Equations Using Graphs

Trigonometric Graphs

Quadratic Graphs

Drawing Graphs from Tables

Solving Trig Equations

18

Equation of a Circle

Equation of a Circle

Equation of a Tangent

19

Estimating Gradients & Areas under Graphs

Finding Gradients of Tangents

Finding Areas under Graphs

20

Real-Life Graphs

Distance-Time Graphs

Conversion Graphs

Rates of Change of Graphs

Speed-Time Graphs

21

Solving Inequalities

Linear Simultaneous Equations

Solving Quadratic Inequalities

22

Graphing Inequalities

Representing Inequalities as Regions

Finding Inequalities from Regions

23

Transformations of Graphs

Translations of Graphs

Reflections of Graphs

24

Sequences

Introduction to Sequences

Types of Sequences

nth Terms of Linear Sequences

Quadratic Sequences