Circle Theorems - Part 1 (of 4)

The first of 4 FULL LESSONs on introducing and using circle theorems.
The two theorems considered in this lesson are:

• *The angle in a semicircle is a right angle.
• *The angle at the centre is twice the angle at the circumference.

Contents of download:

• Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions.
• Worksheets for proofs / examples and exercises (Separated or together depending on how you would like to print for your students). I personally print the ‘together’ worksheets to save on printing and then use Worksheet 3 to finish.

We are learning about: Circle theorems: Part 1
We are learning to: Calculate the missing angles in a circle using circle theorems.

Differentiated objectives:

• Developing learners will be able to apply circle theorems to find missing angles.
• Secure learners will be able to justify, with reason, the circle theorems they apply to find missing angles.
• Excelling learners will be able to solve unfamiliar problems using circle theorems.

Main: Walked through examples followed by practice questions on worksheets. Starts with basic questions on the just-introduced theorem moving onto exam style questions using each of the theorems previously introduced. All solutions given on PPT and in worksheet format.