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What is the relationship between the angle at the centre and the angle at the circumference?
What do we know already that might be useful here?
What are the implications of our findings? (How can other circle theorems be deduced from this one?)
Would the same thing happen if you started with an arc between any two points on the circumference of any circle?
Can you prove it?
On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?
How good are you at estimating angles?
Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.