Students learn how to factorise an algebraic expression into a pair of brackets using the highest common factor. As learning progresses students are challenged to factorise expressions involving multiple unknowns and powers.

The start of the lesson recaps collecting like terms and expanding brackets as students are challenged to find the perimeter of a pentagon with algebraic lengths. At the end of the lesson students are challenged to match a series of expressions with their factorised equivalence.

**Differentiated Learning Objectives**

- All students should be able to factorise an expression in the form ax ± c
- Most students should be able to factorise an expression in the form ax ± by
- Some students should be able to factorise an expression involving powers.