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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?

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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

Of All the Areas

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

These diagrams might help you to work out the areas of the tilted triangles. For each image, we have included an image from the geoboard environment as well as an accurate version:




Here is another diagram which might help you to find another method to calculate the areas: