# Circle Theorems: Angles at Centre & Circumference – Complete Lesson

This is a complete lesson on angles at the centre and the circumference that will teach students to prove and use the rule that the angle at the centre of a circle is double the angle on the circumference. The lesson is designed with the new GCSE specification in mind.

### Lesson Objectives

• To be able to prove that the angle formed at the centre of the circle from the ends of an arc is double the angle formed at any point on the circumference.
• To use this theorem to solve problems.

### 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?

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

### Lesson Progression

This is the second 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: