In this unit students will learn how to use graphs to solve different types of equations and inequalities. They will start by sketching quadratic graphs, finding key points on those graphs and using them to solve quadratic equations. They will then move on to cubics and will learn how to expand three linear expressions, and plot a cubic graph given as the product of three linear expressions. Students will then estimate solutions to simultaneous equations (including where one is non-linear) by plotting graphs before representing solution sets to inequalities on a graph and using sketches of quadratic graphs to solve quadratic inequalities.

This pack is designed to provide teachers with complete lesson plans and classroom resources to teach excellent lessons. It is designed to both teach the mathematical content and draw students into deeper consideration of its implications, including the mathematical reasoning and problem solving skills required for the new Maths GCSE.

The pack contains:

**5 Lesson Plans: **Full ready-to-use lesson plans on the following topics:

**Sketching Quadratic Graphs****Expanding Triple Brackets****Solving Simultaneous Equations Graphically****Solving Inequalities Graphically****Solving Quadratic Inequalities**

**Lesson Resources: **A variety of additional resources to accompany the lesson plans, including student worksheets and aids for students needing extra support.

**Homework Activity: **Further problems to give students to complete at home.

**Assessment: **A series of questions to enable you to assess the progress of students in this unit of work.

This pack is designed for GCSE higher tier students. It could also be used with high ability Key Stage 3 students.