Upload
mhs
View
601
Download
3
Tags:
Embed Size (px)
DESCRIPTION
I use this slideshow with my class set of Polydrons™ and also Illuminations app for exploring solids: http://illuminations.nctm.org/ActivityDetail.aspx?ID=70
Citation preview
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