Proof – Complete Lesson

This is a complete lesson on proof that explores what it means for expressions to be identically equal and how to prove mathematically that two expressions are identical. The lesson is designed with the new GCSE specification in mind.

Lesson Objectives

  • To know the difference between an equation and an identity.
  • To be able to prove that algebraic expressions are identically equal.

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?

Included in this download are the following:

  • Full lesson plan for the ‘Proof’ lesson, including introduction, teaching content, individual activities, plenary and suggested support and extension activities
  • Student Worksheet on Proof
  • Proof Cut and Stick
  • Proof Fact Sheet
  • Complete Solutions to all Questions

Lesson Progression

This is the third lesson in the ‘Rearranging Equations, Graphs of Cubic & Reciprocal Functions and Simultaneous Equations’ unit of work (foundation tier) and also the sixth lesson in the ‘Setting Up, Rearranging & Solving Equations’ 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 Setting Up, Rearranging & Solving Equations unit is also available as a pack with homework activities and a unit assessment. The other lessons in this unit are: