### 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.

### Magazines

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.

### Pebbles

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

### 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.