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.

1. Intro to Solids
Nets and Euler

2. Activator:
• Write the name of at least 5
different types of geometric
solids.

4. Naming and Classifying Regular
Polyhedra
Tetrahedron
3-3-3

5. Naming and Classifying Regular
Polyhedra
Hexahedron
4-4-4

6. Naming and Classifying Regular
Polyhedra
Octahedron
3-3-3-3

7. Naming and Classifying Regular
Polyhedra
Dodecahedron
5-5-5

8. Naming and Classifying Regular
Polyhedra
Icosahedron
3-3-3-3-3

9. Faces, Vertices, Edges:
Oh my!
Explore counting faces,
vertices and edges with
this web app.

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 Euler’s 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 Euler’s
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