Task# Folding a Square into Thirds

Illustrative MathematicsVaries

The purpose of this task is to find and solve a pair of linear equations which can be used to understand a common method of folding a square piece of origami paper into thirds. It is important for students to do the actual paper folding: if square shaped paper is not available then they will have an extra step to do, constructing a square from a rectangular piece of paper. The teacher may wish to emphasize the connection between reflections and folding a piece of paper: each fold makes a crease along a line segment and the 'fold' is closely linked with the refection (of the plane containing the paper) along that line.