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Curricula A-Level AQA Maths PureAlgebra & Functions

Algebra & Functions

1

Laws of Indices & Surds

Rationalising the Denominator with Surds

Laws of Indices

Manipulating Surds

2

Quadratics

Quadratic Graphs

Solving Hidden Quadratics using Substitutions

Completing the square

Solving Quadratic Equations

3

Simultaneous Equations

Linear Simultaneous Equations using Substitution

Linear Simultaneous Equations using Elimination

Quadratic Inequalities

4

Inequalities

Linear Inequalities

Quadratic Inequalities

Inequalities on Graphs

5

Polynomials

Polynomial Factorisation

Polynomial Division

Expanding Brackets

6

Rational Expressions

Rational Expressions

Improper Algebraic Fractions

7

Graphs of Functions

Solving Equations Graphically

Sketching Polynomials

Proportional Relationships

Sketching Reciprocal Graphs

8

Functions

Language of Functions

Composite Functions

Inverse Functions

Sketching Graphs of Modulus Functions

Solving Equations with Modulus Functions

9

Transformations of Functions

10

Combinations of Transformations

Combinations of Transformations

11

Partial Fractions

Partial Fractions with Squared Linear Denominators

Partial Fractions with Linear Denominators

12

Modelling with Functions

Modelling with Functions

13

Further Modelling with Functions

Modelling with Functions