# Circle Theorems – Complete Unit of Work

In this unit, students will use circle theorems to solve angle problems. They will learn how to prove and use the facts that the angle in a semi-circle is 90°, that the angle formed at the centre of a circle is double the angle formed on the circumference, that angles in the same segment are equal, that a perpendicular from the centre of a circle to a chord bisects the chord, that opposite angles in cyclic quadrilaterals are equal, that a tangent and a radius make a right angle, that two tangents from a point are equal and that the angle between a chord and a tangent is equal to the angle in the alternate segment.

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:

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

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

2 Homework Activities: Further activities to give students to complete at home.

Assessment: A series of questions to enable you to assess the progress of students.

### Who this Pack is For

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