geomagic squares

Lee Sallows's ever so impressive work on making geometric magic squares was described in the Guardian recently and many examples can be found on Lee's website

the shapes combine to make the same overall rectangle (or other shape)

one way to use these with students is to present them with the magic square shapes and ask them what the totals are (as shown below), possibly with some of the shapes missing

these solutions show how, remarkably, the shapes combine to create the same rectangle (or other shape) - with the same properties as a number magic square