At the start of the lesson students set up an equation involving the area of rectangle which is solved using a method of trial and improvement. The development phase goes on to consider quadratic and cubic equations using a table. The plenary involves modelling the length needed to create a volume from an open box.

### Differentiated Learning Objectives

- All students should be able to solve a quadratic equation in the form x
^{2}+ab=c using trial and improvement. - Most students should be able to solve a quadratic and cubic equation using trial and improvement.
- Some students should be able to solve any none linear equation using trial and improvements as well as derive the equation using known facts.

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