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Grade 8:  The Learning Equation Math

31.02 Nets and Skeletons

 Measurement Refresher pp 52-3
Learning Outcomes:

The student will:

First we need to understand the vocabulary:

 Representation Example(s) Definition/Explanation solid pillars, butter 3-D object with a filled interior shell milk container, cereal box 3-D object with an empty interior net cardboard box prior to assembly flat diagram that can be folded to create a 3-D solid - shows faces skeleton example:  hydro tower 3-D frame that shows the edges and vertices of an object

Next we need to look at some examples:

 3-D Object Net Skeleton Definition flat diagram that can be folded to create a 3-D solid - shows faces 3-D 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 3-D 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 3-D 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 3-D Lab

## 3-D Animations

These are great interactive activities.  If you visual the animations as empty, the object is a shell, because a filled interior represents a solid.

Complete list of Animations:  Eric Weisstein's World of Mathematics List of Animations

Prisms Pyramids Other

Prism - triangular to decagonal

Triangular Prism

Pentagonal Prism

Hexagonal Prism

Cube

Octagonal Prism

Pyramid - triangular to hexagonal

Square Pyramid

Pentagonal Pyramid

Cylinder

Cone

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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Comments to:  Jim Reed
Started September, 1998. Copyright © 1999, 2000

visitors since September 3, 2000