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Grade 8: The Learning Equation Math
31.02 Nets and Skeletons 

Learning
Outcomes: The student will:
First we need to understand the vocabulary:
Representation 
Example(s) 
Definition/Explanation 
solid 
pillars, butter 
3D object with a filled interior 
shell 
milk container, cereal box 
3D object with an empty interior 
net 
cardboard box prior to assembly 
flat diagram that can be folded to create a 3D solid  shows
faces 
skeleton 
example: hydro tower 
3D frame that shows the edges and vertices of an object 
Next we need to look at some examples:
3D Object 
Net 
Skeleton 
Definition 
flat diagram that can be folded to create a
3D solid  shows faces 
3D frame that shows the edges and vertices
of an object 
prisms (triangle to decagon) 
Prism 
construct the skeleton of a prism and a
pyramid using straws and joiners 
triangular prism 
Solids and Nets 
Use dot paper to draw the skeleton of a
triangular prism.

rectangular prism 
Solids and Nets 
Use plain paper and a ruler to draw the
skeleton of a triangular pyramid. 
cube 

Make a skeleton model of a cube using
strips of cardboard fastened with paper clips.

Pentagonal prism 


Hexagonal prism 


Cylinder 

Using playdoh (or plasticene or
marshmallows) and toothpicks, or straws and pipe cleaners (or cord or elastic thread) make
a skeleton 3D model of a cylinder. 
cone 
Cone
Net

Using playdoh (or plasticene or
marshmallows) and toothpicks, or straws and pipe cleaners (or cord or elastic thread) make
a skeleton 3D model of a cone. 
Square Pyramid 

Construct the skeleton of a square pyramid
using plastercine and tootpicks. 
Pentagonal Pyramid 

Construct the skeleton of a pentagonal
pyramid using marshmallows and tootpicks. 

Review:
Dr.
Gee's 3D Lab

Enrichment:
Complete list of Animations: Eric Weisstein's World of
Mathematics List of Animations
Cube
Dissection  from Eric Weisstein's World of Mathematics  views
Möbius
Strip  from Eric Weisstein's World of Mathematics

Key Terms:
net, skeleton, polygon, cube, cylinder, face, prism, pyramid, transformation

Prerequisite
Skills:
Information included in this lesson
Exploring
Transformations: Grade 7 Lesson 33.03
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