- Introduction to factorising

- Highest common factor (HCF)

- Factorising by grouping

- Factorising quadratic expressions
- Mixed Exercise – Factorising

- Completing the square

- Applications of completing the square

- Exam Questions – Completing the square

- Solve by factorising

- Solve by completing the square

- Solve by the quadratic formula

- Exam Questions – Solved by the quadratic formula

- Simplifying algebraic fractions

- Exam Questions – Simplifying a rational expression

- Addition and subtraction of algebraic fractions

- Exam Questions – Addition & subtraction

- Multiplication of algebraic fractions

- Further simplifying of ‘stacked fractions’

- Definition and finding the nth term

- Recurrence relationships

- Exam Questions – Recurrence relationships