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These are the classic tangram pieces and there are many interactive
tangrams on NRICH in the World of Tan series.
Cut and Make
Age 7 to 11
Challenge Level 
Why do this problem?
This problem
is based on the popular Tangram activities. It may help to extend
pupils' concepts of triangles and it will encourage them to use
visualisation.
Key questions
How have you done this?
What have you tried so far?
How could you join these two shapes? Where could
the third piece go?
Possible extension
Take a large square and cut it up into a variety of shapes,
for example:
Possible support
Plastic or card shapes would be helpful.
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Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.
