The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important concepts of geometry and calculus. This article describes how an origami box can be folded, then it goes on to describe how its volume and surface area can be calculated. Finally, it describes how the box could be folded to…

This article presents activities to help students establish a connection between the mean and the balance point of a lever. The lever and its law are discussed briefly. Thought experiments with a meterstick are presented to emphasize different properties of the mean and weighted averages. (Contains 16 figures.)