This is a matching puzzle, also known as a Tarsia. Please see my other puzzles, most of which deal with trigonometry and calculus, with some precalculus thrown in, too.
There are two types of sides: functions denoted y = ..., and derivatives denoted y'=.... Students match functions with their respective derivatives. The final shape is a rhombus/diamond.
Instructions (time is approximately 40 - 50 minutes):
1. Print each puzzle (three pages), using single-sided printing.
2. Students cut out all triangles, from each of the two sheets.
3. Students match functions with their derivatives, back to back, like one would put together a jigsaw puzzle. The puzzle can be put together in only one way, as each expression, reduced or otherwise, occurs only once.
4. The final shape is a rhombus/diamond.