Worked Example Home

I rarely do first examples live.

Here's why: .

- I can plan exactly my steps and layout.
- I can focus on the students whilst they are studying the example.
- I can write self-explanation prompts to direct the students thinking.

Here's an example, prompts and follow up task.

Question 5 is written as a “we do”.

The first few questions in the follow up task are also available as additional examples if needed.

In reality it often happens that I forget to cover up the solution so they see both at the same time.

Once they've had a chance to read through the question and solution in silence, I use cold call to check for basic understanding of steps.

For this example those cold call questions might be:

- Why has Karen subtracted 156° from 180° to find the size of an exterior angle?
- Why has Karen divided 360° by 24 to find her final answer?

Depending on the ability of the class these can be done individually, with their partner or one at a time with me leading from the front.

- volcabulary;
- common misconceptions;
- error checking;
- “we do” or “you do”.

The process of writing down their answers ensures everyone has understood.

Below you can see how I came up with the prompts for this example:

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? |

So...