Collage theorem

Have you ever played with building blocks and made a big tower? Well, when you have lots of different shapes and sizes of blocks, you can also make other things like houses, castles, and cars by putting the blocks together in a certain way.

Math is kind of like building with blocks too! There is something called the Collage Theorem that says you can take a shape and cut it into smaller pieces, and then rearrange those pieces to make other shapes.

Think of a puzzle - you take a big picture and cut it into small pieces, and then put those pieces back together to make a different picture. The same idea applies to the Collage Theorem in math.

For example, imagine you have a square. You can cut that square into smaller shapes like triangles, rectangles or trapezoids, and then rearrange those shapes to make a larger rectangle or other shapes. The important thing is that the smaller pieces fit together perfectly to make the larger shape.

This is really useful in math because sometimes we have a complex shape that is hard to work with, but by using the Collage Theorem, we can break it down into smaller, simpler pieces and work with those instead.