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Intro to Solids
  Nets and Euler
Activator:
• Write the name of at least 5
 different types of geometric
 solids.
Naming and Classifying Regular
         Polyhedra




       Tetrahedron
            3-3-3
Naming and Classifying Regular
         Polyhedra




       Hexahedron
           4-4-4
Naming and Classifying Regular
         Polyhedra




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




      Dodecahedron
           5-5-5
Naming and Classifying Regular
         Polyhedra




       Icosahedron
          3-3-3-3-3
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
          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
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.
Lesson 49 Practice Problems

p. 323 a - f
Copy each problem/
picture. Show work or
explain each answer.
Individual Exit Slip
p. 324 #10
Manufacturing Application
             Connector Pipes


              Fiberboard


             Metal Strips

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Intro to Solids, Nets, and Euler

  • 1. Intro to Solids Nets and Euler
  • 2. Activator: • Write the name of at least 5 different types of geometric solids.
  • 3.
  • 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