
Bring a little art into your math class as you begin to use the Pythagorean theorem and your students first meet irrational numbers.
In this activity students determine if this method for minimizing wrapping paper is actually more efficient then the traditional method. For a hands on learning experiment, have students actually wrap a small rectangular prism using any available paper in both the traditional and diagonal methods. Then let them compare the two quantities of wrapping paper and decide which method uses less paper and by what percent.
Artistic way to encourage understanding of a conic section. Participants physically build an ellipse by choosing two foci and sketching the figure through a loop of string. While stitching an elliptical string design they puzzle about varying the foci spread and the loop length to create more extreme ellipses and are intuitively introduced to the measurement of eccentricity.