Circle Theorems: Cyclic Quadrilaterals – Complete Lesson

This is a complete lesson on cyclic quadrilaterals that will teach students to prove and use the rule that opposite angles in a cyclic quadrilateral add up to 180 degrees. The lesson is designed with the new GCSE specification in mind.

Lesson Objectives

  • To be able to prove that opposite angles in cyclic quadrilaterals add up to 180 degrees.
  • To solve problems involving cyclic quadrilaterals.

Who is this Lesson For?

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

What is Included?

Included in this download are the following:

  • Full lesson plan for the ‘Cyclic Quadrilaterals’ lesson, including introduction, teaching content, individual activities, plenary and suggested support and extension activities
  • Cyclic Quadrilaterals Demonstration
  • Cyclic Quadrilaterals Example
  • Mini-Plenary
  • Student Worksheet on Cyclic Quadrilaterals
  • Circle Theorems Fact Sheet
  • Complete Solutions to all Questions

Lesson Progression

This is the fifth lesson in the Circle Theorems unit of work (the unit is also available as a pack including homework activities and a unit assessment).

The other lessons in the unit are: