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Programme Of Study For Key Stage 4 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to {apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results}"

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Angle Theorem Kim's Game A memory game to be projected to help the whole class revise the circle angle theorems.
- Circle Theorem Pairs A pairs game based around ten theorems about the angles made with chords, radii and tangents of circles.
- Circle Theorems Exercise Show that you understand the circle theorems with this self marking exercise.
- Proof of Circle Theorems Arrange the stages of the proofs for the standard circle theorems in the correct order.

Here are some exam-style questions on this statement:

- "
*The diagrams are not drawn to scale*" ... more - "
*B, C, D and E are points on the circumference of a circle, centre O.*" ... more - "
*In the diagram above, not drawn to scale, A, B and C are points on a circle, centre O. TA is a tangent to the circle at A and OBT is a straight line. AC is a diameter and angle OTA = 28°.*" ... more - "
*The diagram, not drawn to scale, shows chords joining points on the circumference of a circle. Prove that triangle ADE is similar to triangle BCE.*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.