Students learn how to factorise expressions with powers by taking out the highest common factor. As learning progresses the highest common factor includes both numerical and algebraic terms. Most able students are challenged to factorise expressions involving binomials.

The start of the lesson teaches students to break down an expression in the form 36x^{2}y into its numerical and algebraic fractors. The plenary links factorising expressions with powers to perimeter and area of rectangles.

**Differentiated Learning Objectives**

- All students should be able to factorise expressions with multiple unknowns.
- Most students should be able to use index notation to factorise complex expressions and maintain equivalence.
- Some students should be able to factorise expressions with negative and fractional powers.

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