[Free] Hands-On Maths : The Platonic Solids (Using A Model)

Learn Maths the easy way – Free Course

What you’ll learn

  • Understand the Platonic Solids
  • We learn by making a paper model

Requirements

  • Understand basic geometry
  • Students need to be able to handle square roots in formulas, and to enter square roots in a calculator for more complicated formulas. These kind of problems are usually taught at the Lower Secondary Level.

Description

In this course, youll learn all about Platonic Solids, and youll do it by making a model. This is easy since I supply you with PDF worksheets so you can cut out the outlines, and then put the model together with sticky tape. Having seen how the Platonic Solids inscribe inside one another, we will then calculate and compare their volumes and surface areas there is also a downloadable worksheet for this.

The Platonic Solids often come up in Maths tests and problems, and having a good understanding of them, means you will recognize them and find solutions quickly. They are also a thing of wonder and beauty. There are only five, and they have been known about since the time of Plato in ancient Greece, or even longer. They were often seen as being key to understanding nature, be that the makeup of the world around us, of the orbits of the planets, or whatever. Nevertheless, this is a Maths course, and Ill show you how interesting mathematically they are.

What youll learn :

The names of the 5 Platonic Solids

The history of the Platonic Solids

A Definition and comparison to the Archimedean Solids

Why there are only 5 Platonic Solids

Making a paper model of Platonic Solids(which fit inside one another)

The nets of the Platonic Solids

Vertices, edges, sides and Eulers formula

Volumes of Platonic Solids (a comparison)

Duality in Platonic Solids

Surface Areas of Platonic Solids (a comparison)

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Author(s): Jon Molomby
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