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:...
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.
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.
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...
Unit Plan
Khan Academy

Khan Academy: Nets of Polyhedra

For Students 5th - 7th Standards
Practice matching 2D nets to the 3D shapes the fold up into. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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...
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.
Handout
University of Georgia

University of Georgia: Inter Math: Edge

For Students 9th - 10th
This site gives a description of edge along with a visual representation. Be sure to use the links to related terms, everyday examples, challenging problems, more information, and the interactive check point located in the left-hand column.
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.
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Naming Polygons and Polyhedra

For Students 9th - 10th
This site gives you the prefixes for naming polygons and polyhedra.
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
Other

Polyhedra: The Five Platonic Solids

For Students 9th - 10th Standards
A brief site that includes some activities to understand the figures.
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.
Handout
Other

Jim Plank's Origami Page: Making a Truncated Tetrahedron

For Students 9th - 10th
This website provides instructions on how to create a truncated tetrahedron.
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).
Unit Plan
Instituto Latinoamericano de la Comunicacion Educativa

Red Escolar: Telar Del Pensamiento Matematico

For Students 3rd - 8th
In Spanish. Different mathematical topics are presented with questions and activities.
Graphic
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Polyhedra

For Students 9th - 10th Standards
Find a quick, concise explanation of what a polyhedra is. Examples are given and clearly explained.
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.
Interactive
Math Is Fun

Math Is Fun: Spinning Icosahedron

For Students 9th - 10th Standards
Students learn about the terminology and formulas associated with an icosahedron. The learning resource consists of definitions and an interactive spinning icosahedron.
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.
Activity
University of Cambridge

University of Cambridge: Nrich: A Chain of Eight Polyhedra

For Students 3rd - 8th Standards
Eight different polyhedra are given along with a challenge in this game. Can you arrange them so that their faces match in a chain? A solution is available to check your answers.
Activity
University of Cambridge

University of Cambridge: Nrich: Building With Solid Shapes

For Students 1st - 2nd Standards
Predict which solid shape constructions would be unstable as shown at this one page website. Solutions are available right at the website.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Cut the Cake

For Students 2nd - 6th Standards
A math challenge where geometry, measurement, and problem solving meet. Explore the properties of three dimensional shapes when you discover how six friends can equally divide a nine inch square chocolate cake. A one page activity from...