intro to solids, nets, and euler

Intro to SolidsNets and Euler

Activator:

• Write the name of at

least 5 different types of

geometric solids.

Naming and Classifying Regular Polyhedra

Tetrahedron3-3-3

Naming and Classifying Regular Polyhedra

Hexahedron4-4-4

Naming and Classifying Regular Polyhedra

Octahedron3-3-3-3

Naming and Classifying Regular Polyhedra

Dodecahedron5-5-5

Naming and Classifying Regular Polyhedra

Icosahedron3-3-3-3-3

Faces, Vertices, Edges:Oh my!

Explore counting faces, vertices and edges with this web app.

Who was Euler?

Euler was a Swiss mathematician who was famous for seeing a relationship among faces, vertices and edges of solid shapes.

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”.

The Five Regular Polyhedra

NameVertex Config

Faces Vertices Edges

Tetra-hedron

3-3-3

Hexa-hedron

4-4-4

Octa-hedron

3-3-3-3

Dodeca-hedron

5-5-5

Icosa-hedron

3-3-3-3-3

Prisms and PyramidsUse 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.

Lesson 49 Practice Problems

p. 323 a - fCopy each problem/ picture. Show work or explain each answer.

Individual Exit Slipp. 324 #10Manufacturing Application

Connector Pipes

Fiberboard

Metal Strips