1 | The word regular is doing a lot of heavy lifting in this question. I should check they understand what that means. I'd like them to write down a defintion rather than just a cold call answer. |
What does the word “regular” mean in this question? |
2 | A common misconception is to think that interior and an exterior add up to 360°. It would be worth making this error explicit. |
Karen's friend says that to find one exterior angle you have to work out 360°−150°. Explain why they are wrong. (You may find it useful to draw a sketch.) |
3 | It would be useful for them to write down the statement exterior angles in a polygon add up to 360°. | What fact about exterior angles in polygons has Karen used to answer this question? | 4 | They should realise that if they get a non-integer answer they have made a mistake. | If Karen got an answer of 15.25 sides, how would she know that she had made a mistake? |
5 | A "we do". | What if the question said: A regular polygon has an interior angle of 150°. How many sides does the polygon have? What would your answer look like? |