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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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Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.

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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Next Number

Stage: 2 Short Challenge Level: Challenge Level:2 Challenge Level:2

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.