Transformation Tetris is often used as an introduction to transformations. Students can use their prior knowledge of the game of Tetris to better understand rotation, reflection, and translation. This also allows students to problem solve, think, and collaborate.
I assign this as work after the previous unit's test. This keeps students busy and engaged while others are still working. Students are given a rough draft grid on one side and a final draft on the other. This makes for beautiful student work that you can hang around the room.
The goal of each student is to use at least five of each Tetris shape to fill their grid. I usually draft my own each year with about 4 blank spaces and then challenge the students to "beat the teacher."