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Tangrams

Can you make five differently sized squares from the interactive tangram pieces?

Polydron

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?

Geoboards

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.



The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.