Students learn how to factorise algebraic expressions using the highest common factor and basic algebraic notation. As learning progresses they are challenged to investigate possible perimeters for a rectangles with algebraic lengths.

**Differentiated Learning Objectives**

- All students should be able to fully factorise an algebraic expression in the form ax+b where a and b are both constants.
- Most students should be able to fully factorise an algebraic expression in the form ax
^{2}+bx where a and b are both constants. - Some students should be able to fully factorise an algebraic expression the form ax
^{2}y + bxy^{2} where a and b are both constants.

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