"In and Out Cube" Project

In this project, students can create a nice 3-dimensional shape that they will enjoy. Some students are unfamiliar with visualizing solids, and creating their own interesting 3-D shape will make them a little more comfortable with the topic. Most students find this a "fun" project, and not very difficult. They will be proud of the finished product.

The 2-dimensional pattern also provides a quick review of 2 types of special triangles: the isosceles right triangle, and the equilateral triangle. In studying volume and surface area of solids, students will find that the bases of these solids are the polygons with which they already have had experience.

The more experience students have with 3-dimensional geometric shapes, the easier it will be for them to succeed in this their studies of volume and surface area.

The pattern is shown below. If possible, students should construct their own pattern, using Sketchpad or compass and straightedge, as this will provide experience in constructing geometric figures. The pattern below is numbered and labelled to correspond to the mathematical information given with the pattern.

And here is the pattern, withought labels. Using origami terminology, the solid lines are a "mountain fold" and the dashed lines are a "valley fold". If you are not familiar with origami terminology, go to the follow interesting web page and click on the link that says "First, before you start...if you are a beginner or intermediate folder, go to the following web page on origami basics "http://www.paperfolding.com/diagrams/" When you get to that web page, click on the link that says "First, before you start...if you are a beginner or intermediate folder, please review this page on origami basics, which covers folds and bases:"

The photograph below will show you what the final project looks like, when folded and taped together to form an interesting 3-dimensional shape:

"The universe cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word." Galilei, Galileo (1564 - 1642)