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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.

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?

Sticky Triangles

Age 7 to 11
Challenge Level

You could start by making or drawing the first row. Try to be aware of how you are making/drawing the triangle.

Now add the second row. Again, try to focus on how you are making/drawing this second row of triangles. Might your way of drawing/making help you see why that number of sticks/lines is needed?

How are you going to keep track of the number of rows you have made, the number of small triangles you have created and the total number of sticks/lines you have used?