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?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
How would you move the bands on the pegboard to alter these shapes?
In Tom's house there are tiles on the floor. Each tile is twice as long as it is wide so they each look like this:
How do you think they fit together to cover the floor? Use squared paper to help you to draw your pattern.
Can you find any other patterns?
How many different patterns can you find?