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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?

Can They Be Equal?

Stage: 3 Challenge Level: Challenge Level:1

Find the dimensions of the following rectangles:

Dimensions Area Perimeter
9 20
16 20
21 20
24 20
25 20

Draw the rectangles.
What do you notice about the shapes of rectangles with a fixed perimeter as their areas increase?

Find the dimensions of the following rectangles:

Dimensions Area Perimeter
24 20
24 22
24 28
24 50

Draw the rectangles.
What do you notice about the shapes of rectangles with a fixed area as their perimeters increase?