Students learn about applying circle theorems involving tangents to solve complex problems. The alternate segment theorem and angle between between a radius and tangent are used as part of larger and more complicated problems. More able students are challenged to derive proofs by linking various theorems and angle properties together.

The start of the lesson recaps the alternate segment theorem and angle between a radii and tangents. The plenary takes the students through a typical examination question to assess the progress made.

**Differentiated Learning Objectives**

- All students should be able to solve problems involving the angle between a radius an chord.
- Most students should be able to apply multiple circle theorems involving tangents to solve complex problems.
- Some students should be able to prove multiple circle theorems involving tangents.

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