FIE Tangrams: Analysis or synthesis?

This week we are looking at the principle of finding the parts with a more complex whole. This could be a shape inside a larger shape, a simple machine inside a complex one, a engine inside a car, a secret ingredient in a yummy recipe!

A Tangram is a good place to start thinking about this. According to mathsisfun website. A Tangram is "A traditional Chinese puzzle made of a square divided into seven pieces (one parallelogram, one square and five triangles) that can be arranged to match particular designs."

Here is a link to some of the tough Tangram challenges we will be attempting to analyse (break apart)? or is it synthesise (put together)? What do you think?