Use the following Media4Math resources with this Illustrative Math lesson.
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Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids |
Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids
This is the transcript for the video of same title. Video contents: 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. |
3-Dimensional Figures and Applications of 3D Geometry | |
Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders |
Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders
This is the transcript for the video of same title. Video contents: 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. |
3-Dimensional Figures and Applications of 3D Geometry | |
VIDEO: Geometry Applications: 3D Geometry |
VIDEO: Geometry Applications: 3D Geometry 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. |
3-Dimensional Figures and Applications of 3D Geometry | |
VIDEO: Geometry Applications: 3D Geometry, 1 |
VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction. We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms. |
3-Dimensional Figures and Applications of 3D Geometry | |
VIDEO: Geometry Applications: 3D Geometry, 2 |
VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms. |
3-Dimensional Figures, Pyramids and Applications of 3D Geometry | |
VIDEO: Geometry Applications: 3D Geometry, 3 |
VIDEO: Geometry Applications: 3D Geometry, Segment 3: Cylinders 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms. |
3-Dimensional Figures, Cylinders and Applications of 3D Geometry |