This document provides an introduction to geometric solids, including naming the five regular polyhedra (tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron). It discusses Euler's formula relating the number of faces, vertices and edges of solids and how this applies to the five regular polyhedra. The document also mentions exploring prisms, pyramids and whether Euler's formula applies to them. Finally, it directs working practice problems and an individual exit slip related to geometric solids.
10. Who was Euler?
Euler was a Swiss
mathematician who was
famous for seeing a
relationship among faces,
vertices and edges of solid
shapes.
11. What is Eulers formula?
Working with your group, use
Polydrons to build the 5 regular
polyhedra, or Platonic solids.
Make a chart on poster paper to
record faces, vertices and edges of
each polyhedra.
Be prepared to report out your
system for counting.
12. The Five Regular Polyhedra
Vertex
Name Faces Vertices Edges
Config
Tetra-
3-3-3
hedron
Hexa-
4-4-4
hedron
Octa-
3-3-3-3
hedron
Dodeca-
5-5-5
hedron
Icosa-
3-3-3-3-3
hedron
13. Prisms and Pyramids
Use Polydrons to build various
prisms and pyramids. Does Eulers
formula hold true? Make a chart on
poster paper. Include the names of
the prisms you build and explore.
14. Lesson 49 Practice Problems
p. 323 a - f
Copy each problem/
picture. Show work or
explain each answer.
15. Individual Exit Slip
p. 324 #10
Manufacturing Application
Connector Pipes
Fiberboard
Metal Strips