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: graphs of functions (red) and graphs of derivatives (blue). The final shape is a large triangle.
Instructions (time is approximately 20 - 30 minutes):
1. Print each puzzle (two pages), using single-sided printing. Color is better, clearly, but each function is labeled "function" and each derivative is labeled "derivative," as well as being different colors.
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.