Today we focused on Polyhedrons. Polyhedrons are three dimensional objects that have faces, vertices, and edges. Faces are the flat surfaces of the object, vertices are the points where two lines meet at the same point, and edges are the sides of the object. So today we got to work with Gumdrops and Toothpicks. Our activity was to create five different polyhedrons: cube, triangular pyramid, square pyramid, triangular prism, and a rectangular prism with the Gumdrops and Toothpicks. This helped us to see the faces, vertices, and edges of these polyhedrons.
We also noticed there was a pattern to the edges, faces, and vertices. The pattern we seen is a theorem called, Euler's Theorem, which is calculated by adding the vertices and the faces together, then subtracting the edges to equal two.
Euler's Theorem: Vertices + Faces - Edges = 2
To better understand Euler's Theorem, I found this site very helpful.
http://www.mathsisfun.com/geometry/eulers-formula.html
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