The idea of this activity is to use paper folding to build intuition about multiplication, division, and factoring. Students learn how to fold strips of paper into 2 and 3 equal parts and then discover that they can make any other number that is a multiple of 2's and 3's by combining folds.

This is a simple game that can lead to a lot of valuable conversation about ratios and fractions. The game is easy to create using dynamic geometry software, and works especially well if it can be projected onto a board so that students can do it as a group.