Cut a hole large enough to fit your whole body, in a small piece of paper.
Template: Lines for Hole
Challenge: With the same sized paper, cut a hole for your entire class to fit through the piece of paper. What adjustments will you make for an entire school to fit in a piece of paper?
Another topology Challenge: Mathigon’s map coloring challenge is to use as few colors as possible to color in all 50 U.S. states without the same color touching two states at the same time.