One misconception students often have when learning about fractions is that to half something you must cut it into only two pieces of the same shape.
This task develops the idea of different ways of creating half of a whole. It allows students to be artistic and create interesting patterns of their own. It also allows students to describe and justify their thinking. In this task students are asked to consider ways to prove that a square is split in half and also to think of other ways to split a square in half and convince others that it is split in half.