A correspondent writes:
I am planning to incorporate pentominoes into my art lesson on designing houses. Do you have comments or help on this concept.
One possibility is pentomino-tiled floors. There’s a lesson on tiling with polyominoes in my Geometry Labs book (Lab 7.1), but the basic idea is straightforward: find ways to tile with each of the pentominoes, or with combinations of two or three pentominoes. It turns out every pentomino tiles, without having to flip it over, and in fact there are many ways to do it, and of course many ways to color the tilings, leaving much room for student creativity. Here is an example with the F:
PS: find out about my book Working with Pentominoes here.