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Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

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Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

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Worms

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Next Number

Age 7 to 11 Short Challenge Level:

Why do this problem?

This activity is so simple and yet it requires a good detective-type mind to explore it. The answer can be expressed in very many different ways.

Possible approach

You might lead up to this by using simple examples, focusing on encouraging children to explain how they know what the next number is each time.

Key questions

Tell me about how you got your answer.
How could you get from this number to the next one?

Possible extension

You could create some similiar examples, or encourage pupils to make up their own. It would be interesting to give only two numbers as a start so that there are many possibilities for extending the sequence. Encourage children to find as many different ways of continuing it as they can.

Possible support

Use of calculators may help.