In this mathematics lesson students learn how to solve quadratic inequalities by identifying the roots to sketch the graphs. As learning progresses they are challenged to identify regions on a grid the correct algebraic notation. The start of the lesson is used ot recap solving simple quadratics using factorisation and the balance method.

### Differentiated Learning Objectives

- All students should be able to solve a quadratic inequality using the balance method.
- Most students should be able to solve a quadratic inequality in the form by factorising.
- Some students should be able to solve a quadratic inequality with non-integer roots using the formula.

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