Unit Plan
Cuemath

Cuemath: Polyhedron

For Students 6th - 8th Standards
Introduces the concept of polyhedrons by learning the definition, types, and where they are found. Check-out the solved examples for better understanding and try your hand at solving a few interactive questions at the end of the page.
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...
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.
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.
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...
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...
Activity
Math Is Fun

Math Is Fun: Polyhedron

For Students 9th - 10th Standards
Students learn about the terminology and formulas associated with polyhedrons. The learning resource consists of definitions, images, and examples.
Handout
University of Georgia

University of Georgia: Inter Math: Polyhedron

For Students 6th - 8th Standards
The polyhedron is defined and illustrated. Links provided for related terms, everyday examples, challenging problems, more information. There is also an interactive checkpoint involving polyhedrons.
Unit Plan
Wolfram Research

Wolfram Math World: Convex Polyhedron

For Students 9th - 10th
This site defines a convex polyhedron in terms of vectors and matrices. A table of examples, as well as an illustration, are given. This site has numerous links to related Math World sites.
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...
Activity
Other

Personal Site: Pyramids, Dipyramids, and Trapexohedra

For Students 9th - 10th
This site is a personal site that discusses the popular polyhedron, the pyramid. It explains that by joining two pyramids you will get a dipyramid.
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...
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...
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...
Lesson Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Los Poliedros Regulars Y La Esfera

For Teachers 9th - 10th Standards
Interactive resources and activities dealing with properties and characteristic of the five polyhedrons and the sphere.
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.
Lesson Plan
Science and Mathematics Initiative for Learning Enhancement (SMILE)

Smile: Polyhedrons

For Teachers 9th - 10th Standards
This in-depth paper examines the idea of convexity. Euclid's Elements, the first geometry textbook, assumed convexity without mentioning the term.
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.
Handout
University of Georgia

University of Georgia: Inter Math: Platonic Solids

For Students 9th - 10th
This site gives a description of platonic solids along with a visual representation of each of the five platonic solids. At the bottom of the page are links to cut-out-templates for each of the platonic solids. Be sure to follow the...
Activity
University of Cambridge

University of Cambridge: Nrich: Skeleton Shapes

For Students 3rd - 8th Standards
At this one page website a variety of polyhedra are shown. The challenge is to create the skeleton for each polyhedron and identify the needed materials. You can check your solution right at the website.
Whiteboard
ClassFlow

Class Flow: Three Dimensional Figures

For Teachers 6th - 8th Standards
[Free Registration/Login Required] This flipchart describes the characteristics of polyhedrons and asks students to classify figures according to the number of vertices, faces, and bases of the figures.
Activity
National Council of Teachers of Mathematics

The Math Forum: Polyhedra Nets Paper

For Students 9th - 10th Standards
Contains six examples of polyhedra nets (cube, tetrahedron, octahedron, dodecahedron, icosahedron, cubosctahedron).
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.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Geometry

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in geometry: Triangles, and Circles and Other...

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