In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry

This video includes a Teacher's Guide: https://www.media4math.com/library/geometry-applications-teachers-guide-3d-geometry

We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-1-introduction

Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-2-pyramids

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-3d-geometry-1

The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-3-cylinders

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-3d-geometry-2

This animated sequence shows a cone from top to bottom.

This animated sequence shows a cube from top to bottom.

This animated sequence shows a cylinder from top to bottom.

This animated sequence shows an octahedron from top to bottom.

This animated sequence shows a pyramid from top to bottom.

This animated sequence shows a rectangular prism from top to bottom.

This animated sequence shows a tetrahedron from top to bottom.

This animated sequence shows a triangular prism from top to bottom.

This animated sequence showsan antiprism from top to bottom.

This animated sequence shows an antiprism unfolding into two pyramids.

5/9/11. In this issue we look at tornado season. In particular we study why the swirling winds of a tornado are so damaging. Note: The download is a PPT file.

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5/16/11. In this issue we look at the flooding along the Mississippi. In particular we analyze the flooding along Memphis, Tennessee. We develop a model for predicting the amount of flooding. Note: The download is a PPT file.

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6/13/11. In this issue we explore the volcanic eruption in Chile that resulted in a huge plume of smoke and ash that was miles high. We explore the viscosity of lava that makes such eruptions possible. Note: The download is a PPT file.

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6/27/11. In this issue we look at the technology of hydraulic fracking. In particular, we estimate the amount of drilling required for such wells. Note: The download is a PPT file.

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9/19/11. To commemorate the 10-year anniversary of the 911, we look at the geometry and architecture of the Freedom Tower, currently under construction. Note: The download is a PPT file.

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11/14/11. In this issue we commemorate the 125th anniversary of the Statue of Liberty. We also look at the geometry and architecture of this monument. Note: The download is a PPT file.

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11/28/11. In this issue we look at the geometry of parade balloons. Note: The download is a PPT file. Note: The download is a PPT file.

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12/7/11. In this issue we look at the heroic work of salvaging and retrofitting many of the ships sunk during the attack on Pearl Harbor. Note: The download is a PPT file.

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12/12/11. In this issue we look at the MLK Memorial and the special properties of granite that presented some design challenges in the construction of the statue. Note: The download is a PPT file.

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January 2012. In this issue of Math in the News we analyze how the Costa Concordia sank. Note: The download is a PPT file.

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April 2012. In this issue of Math in the News we analyze the sinking of the Titanic. It has been a hundred years, yet the story of the sinkin g of the Titanic still fascinates. Note: The download is a PPT file.

To see all the issues of Math in the News, click on this link.