Paper Folding: Locating the square root of a number on the number line
Paper folding (origami) has been used by many teachers, particularly in Japan, to teach mathematics. In this post, we are going to use paper folding to locate the square root of any number on the number line. A GeoGebra simulation of the paper folding is shown below.
Note (July 17, 2014): Applet had an error. I will update it within 24 hours.
Paper Folding Instructions
- Get a rectangular piece of paper and fold it in the middle, horizontally and vertically, and let the creases (see green segments in the applet) represent the coordinate axes.
- Construct point M at (0,1), and fold and make a crease at y = -1 (see blue segment above).
- Let P denote a point with coordinates (0,n) where n < 0 (drag P along the negative y-axis).
- Make a fold through P (by dragging Q in the applet) that places M(0,1) on the line y = – 1.
- The x intercept of the fold is .