Solving Simultaneous Equations Graphically – Complete Lesson

This is a complete lesson on solving simultaneous equations graphically that looks at how to use the intersections of graphs to find solutions to simultaneous equations. The lesson is designed with the new GCSE specification in mind.

Lesson Objectives

• To estimate the solutions to two linear simultaneous equations graphically.
• To estimate solutions to one linear and one quadratic or circle equation simultaneously using graphs.
• To solve simultaneous equations representing real-life situations graphically and interpret your solutions in the context of the question.

Who is this Lesson For?

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

What is Included?

• Full lesson plan for the ‘Solving Simultaneous Equations Graphically’ lesson, including introduction, teaching content, individual activities, plenary and suggested support and extension activities
• Plotting Graphs Introduction
• Solving Simultaneous Equations Graphically Example
• Blank Grids
• Solving Simultaneous Equations (One Quadratic) Graphically Example
• Student Worksheet on Solving Simultaneous Equations Graphically
• Solving Equations Graphically Fact Sheet
• Complete Solutions to all Questions

Lesson Progression

This is the seventh lesson in the ‘Rearranging Equations, Graphs of Cubic & Reciprocal Functions and Simultaneous Equations’ unit of work (foundation tier) and also the third lesson in the ‘Solving Equations Graphically’ unit of work (higher tier).

The Rearranging Equations, Graphs of Cubic & Reciprocal Functions and Simultaneous Equations unit is available as a pack including homework activities and a unit assessment. The other lessons in the unit are:

The Solving Equations Graphically unit is also available as a pack with homework activities and a unit assessment. The other lessons in this unit are: