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Activity
University of Regina (Canada)

University of Regina: Math Central: Constructing a Polyhedron

For Students 9th - 10th Standards
Students are given instructions on how to construct a paper, uniform polyhedron in the shape of a star ball. Animation is used to show the steps to make the star ball. There are also additional modules for other shapes and discussion...
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Lesson Plan
PBS

Wnet: Thirteen: Ed Online: Virtual Polyhedra

For Teachers 9th - 10th Standards
Students explore polyhedron's through technology and paper/ pencil constructions.
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Activity
Wolfram Research

Wolfram Math World: Polyhedron

For Students 9th - 10th Standards
This is a detailed site with numerous links related to polyhedrons, the site explains the term polyhedron in terms of geometry and algebraic topology it briefly discusses special polyhedrons which link to other Math World sites which...
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Interactive
National Council of Teachers of Mathematics

The Math Forum: Studying Polyhedra

For Students 9th - 10th
This site not only defines what a polyhedron is, but it allows you to view each of the five regular polyhedra through an interactive exercise. After selecting which polyhedron you'd like to see, it will tell you its name and how many...
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Activity
National Council of Teachers of Mathematics

The Math Forum: Crystals: Crystallography & Systems

For Students 9th - 10th
This is an exploration of polyhedron and may be used as a lesson plan. The site contains links to various crystals that are formed as polyhedron, and links to creating your own paper polyhedron. Other exciting related links on polyhedral...
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Study Guide
Oswego City School District

Regents Exam Prep Center: Platonic Solids

For Students 9th - 10th
Did you know that the five regular platonic solids (tetrahedron, octahedron, icosahedron, cube, and dodecahedron) were thought to represent earth, air, fire, water, and the universe? This chart shows an image and provides a description...
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Lesson Plan
PBS

Pbs: Mathline: Let's Face It [Pdf]

For Teachers 5th - 8th Standards
Check out this math project about polyhedra! Students will enjoy the hands-on activity while they learn about tetrahedrons, hexahedrons, octahedrons, dodecahedrons, and icosahedrons. [Requires Adobe Reader.]
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Graphic
Other

Showroom: All Uniform Polyhedra

For Students 9th - 10th
This site has pictures and information on many different types of polyhedra.
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Lesson Plan
University of Texas at Austin

University of Texas: Elementary Math Club: Math Mobile

For Teachers 2nd - 6th Standards
Learners explore the geometric and topological properties of three-dimensional objects. The lesson plan includes an overview and a activity toolkit.
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Activity
Exploratorium

Exploratorium: Science Snacks: Viral Packaging

For Students 9th - 10th
Make an icosahedron, a shape with twenty triangular faces. This shape is used by most viruses to contain their genetic material in the most efficient way possible.
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Unit Plan
Annenberg Foundation

Annenberg Learner: Geometry 3 D Shapes: Polyhedra, Prisms, and Pyramids

For Students 6th - 8th Standards
An introduction to a type of three-dimensional shape called a polyhedron. See examples and play with an interactive animation, showing the faces, vertices, and edges of pyramids, which are a type of polyhedron.
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Activity
Annenberg Foundation

Annenberg Learner: Geometry 3 D Shapes: Platonic Solids

For Students 9th - 10th Standards
Learn about platonic solids, a special type of polyhedra. Read a definition, make three-dimensional models using printouts, and play with an interactive animation, which will show you the faces, vertices, and edges on platonic solids:...
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Interactive
Math Is Fun

Math Is Fun: Animated Polyhedron Models

For Students 9th - 10th
Use this tool to see animated models of over 100 different types of polyhedra. There are five options for how they appear, and you can also see the net, 'explode' the solid so that the faces are separated, or drag it to rotate it...
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Polyhedrons

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about polyhedrons, Euler's Theorem, and regular polyhedrons.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Polyhedrons

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Apply Euler's Theorem.
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Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Geometric Solids

For Students 9th - 10th Standards
The instructional tool explores various geometric solids and their properties. Student can manipulate and color the different shapes. Learners examine the edges, faces, and vertices of the different solid figures.
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Handout
Oswego City School District

Regents Exam Prep Center: Polyhedra

For Teachers 9th - 10th Standards
View and learn about five different polyhedra: tetrahedron, octahedron, icosahedron, hexahedron, and dodecahedron. Learn what Euler's Polyhedra Theorem is, and see examples of non-polyhedra as well.
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Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Polyhedra in the Classroom

For Teachers 9th - 10th
Lesson plans for many student activities which introduce the concept of polyhedra into the classroom. Some activities can be accomplished by hand with paper, pencils, and scissors, but the unit works best if the students can regularly...
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Article
Creative Science Centre

Creative Science Centre: Shapes Platonic and Archimedean Solids

For Students 9th - 10th Standards
The 'Platonic solids' are three-dimensional shapes formed by putting together identical regular faces. Every corner and every edge is identical to every other corner and edge. There are five such 'solids': the tetrahedron, cube,...
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eBook
Mathigon

Mathigon: Geometry: Polygons and Polyhedra: Polyhedra

For Students 9th - 10th Standards
This lesson focuses on polyhedra; a polyhedron (the plural is polyhedra) is a 3-dimensional solid object that is made up of polygons. Euler's Polyhedron Formula: In every polyhedron, the number of faces (F) plus the number of vertices...
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eBook
Mathigon

Mathigon: Geometry: Polygons and Polyhedra: More on Polyhedra

For Students 9th - 10th Standards
This lesson focuses on polyhedra other than the platonic solids; these include an Archimedean solid, a polyhedron made up of different kinds of regular polygons, that looks the same from every direction. There are 13 different...
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Handout
CK-12 Foundation

Ck 12: Geometry: Polyhedra Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This study guide reviews how to classify polyhedra, Euler's formula, and regular polyhedra.
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Activity
Wolfram Research

Wolfram Math World: Space Filling Polyhedron

For Students 9th - 10th Standards
This MathWorld site shows pictures of polyhedra which can fill space. A discussion of these figures follows.
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Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Polyhedra Classification

For Students 9th - 10th Standards
This question and answer site provides a lot of basic information about polyhedra. The five regular polyhedra, "The Platonic Solids," are described.