Curated OER
Octahedron
In this math learning exercise, middle schoolers develop cognitive and geometric abilities. They construct a paper model of a octahedron composed of eight triangular faces, six vertices and 12 edges.
Curated OER
Dodecahedron
In this dodecahedron worksheet, students build a model of a dodecahedron. The pattern for this shape is made up of twelve pentagons. This is a worksheet generator, and the teacher can choose if a sample of the completed shape will be...
Curated OER
2D and 3D figures
In this 2D and 3D figure instructional activity, students name different shapes and decide if they are polygons or not. Students complete 8 problems.
Cuemath
Cuemath: Platonic Solids
Learn more about platonic sold geometry, understand the platonic solid names, view some solved examples, and try your hand at some interactive problems.
Math Is Fun
Math Is Fun: Platonic Solids: Why Five?
Use Euler's Formula and properties of known platonic solids' faces, edges, and vertices to determine why only five platonic solids exist.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Platonic Solids
A Platonic solid is a polyhedron made up of only one kind of regular polygon, that looks the same from every direction. (In other words, the same number of faces meet at every vertex.) There are only five different Platonic solids:...
University of Georgia
University of Georgia: Inter Math: Platonic Solids
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...
Annenberg Foundation
Annenberg Learner: Geometry 3 D Shapes: Platonic Solids
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:...
Walter Fendt
Walter Fendt: The Platonic Solids
A short interactive activity to visualize the different platonic solids. You can also change the axis of rotation.
Oswego City School District
Regents Exam Prep Center: Platonic Solids
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...
Creative Science Centre
Creative Science Centre: Shapes Platonic and Archimedean Solids
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,...
Alabama Learning Exchange
Alex: Platonic Solids Ornaments
This is a hands-on activity that introduces students to the five Platonic solids. Students will discover the special relationship between faces, vertices, and edges. Students will research the Platonic solids and then construct and...
Wolfram Research
Wolfram Math World: Platonic Solids
This site, which is provided for by Math World, is a lengthy site describing the various properties and mathematical explanations of the figures.
Maths Challenge
Maths challenge.net: Platonic Solids
A "three star geometry problem" requiring knowledge of how to complete geometric proofs to prove that there are no more than five regular convex polyhedra.
University of Waterloo (Canada)
University of Waterloo: Cemc: Math Circles: 3 D Geometry Ii [Pdf]
This worksheet provides a variety of 3D geometry questions requiring higher order thinking skills. Questions include; finding the surface area of a prism, surface area of pyramid, surface area of a sphere, and platonic solids.
Other
Polyhedra: The Five Platonic Solids
A brief site that includes some activities to understand the figures.
Other
Platonic Realms: The Irrationality of the Square Root of Two
An informative resource on the nature of Platonic Solids and what constitutes these figures.
Math Is Fun
Math Is Fun: Making 3 D Solids
This tutorial features templates and instructions to make the following solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
University of Georgia
University of Georgia: Inter Math: Octahedron
The octahedron is defined and illustrated. Links access related terms, everyday examples, challenging problems, and an interactive checkpoint involving octahedrons and other platonic solids.
Wolfram Research
Wolfram Math World: Tetrahedron
This math site defines a tetrahedron, gives reference to the Platonic solid, and gives views from varying perspectives. It also provides formulas for veritices of a tetrahedron lieing along the the positive X axis, formulas for area,...
Dartmouth College
Dartmouth College: Mqed: Geometry in Art and Architecture
Learners learn about art and mathematics. Topics include the golden ratio, platonic solids, and number symbolism. The learning resource includes a description, requirements, syllabus, and bibliography.
Shodor Education Foundation
Shodor Interactivate: Lesson: Probability and Geometry
The Shodor Education Foundation provides this lesson plan to give middle schoolers an opportunity to connect probabilty and geometry. Students learn how to calculate probability, use geometry to solve probabilty problems, and, as an...
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: More on Polyhedra
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...
Curated OER
Math Academy Online: Prime the Platonic Solids
An informative site on the nature of Platonic Solids and what constitutes these figures.
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