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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.


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.


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?

Pyramid Numbers

Age 7 to 11
Challenge Level

Why do this problem?

This problem demonstrates links between numbers and shapes. It encourages children to visualise in the context of a number sequence.

Possible approach

To begin with, it would be good to let children talk about what the next numbers in the sequence could be, without saying much more. Share the class' ideas and invite children to explain how they worked out their solution.

Give pairs of children objects which they could make into pyramids, perhaps marbles with some blu-tak, and leave them to explore.

In the plenary you could focus on any other sequences which learners have investigated.

Key questions

Can you make some sort of pyramid using these numbers of marbles?
How would you make a different sort of pyramid? What is the number sequence for that pyramid?
Can you make a different layered structure with the marbles? What is the number sequence that goes with it?