Students learn about using graphs to solve linear equations. Learning progresses from solving equations where the unknown appears on one side to using the intersection of two graphs to solve equations of the form 2x + 1 = x.

The start of the lesson recaps generating tables of results from an equation. The plenary challenges students to solve an equation where the unknown appears of both sides.

**Differentiated Learning Objectives**

- All students should be able to use graphical methods to estimate a solution to an equation.
- Most students should be able to use linear graphs to estimate values of y for given values of x and vice versa.
- Some students should be able to use graphical methods to solve an equation in the form x = mx + c