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This activity investigates how you might make squares and pentominoes from Polydron.

Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

My New Patio

What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?


Age 7 to 11 Challenge Level:

On a $4$ by $4$ geoboard (say) - how many different sized squares can you make using rubber bands?

How could you make a square with NO pins along a side (an edge) and just the 4 pins at the corners (vertices)?

The basic unit of measurement is one square unit (as shaded in the diagram).

How can you make a square whose area is 2 square units?
Can you make a square with an area of 3 square units?
Geoboards with one square

Here is an interactive you might like to use.