Title | Description | Thumbnail Image | Curriculum Topics |
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Video Transcript: Geometry Applications: Triangles, Segment 1: Introduction |
Video Transcript: Geometry Applications: Triangles, Segment 1: IntroductionThis is the transcript for the video of same title. Video contents: The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program. |
Applications of Triangles | |
Video Transcript: Geometry Applications: Triangles, Segment 2: Triangles |
Video Transcript: Geometry Applications: Triangles, Segment 2: TrianglesThis is the transcript for the video of same title. Video contents: The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. |
Applications of Triangles | |
Video Transcript: Geometry Applications: Triangles, Segment 3: Right Triangles |
Video Transcript: Geometry Applications: Triangles, Segment 3: Right TrianglesThis is the transcript for the video of same title. Video contents: The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. The shapes of sails went from rectangular to triangular. |
Applications of Triangles | |
Video Transcript: Geometry Applications: Antiprisms |
Video Transcript: Geometry Applications: AntiprismsThis is the transcript for the video: Geometry Applications—Antiprisms. In this video students learn the basics of antiprisms, in the context of New York’s Freedom Tower, which has an antiprism design. They learn the properties of antiprisms, with the focus on those with a square base. |
3-Dimensional Figures | |
Video Transcript: Geometry Applications: Rectangular Prisms |
Rectangular Prisms | ||
Video Transcript: Geometry Applications: Triangular Prisms |
Video Transcript: Geometry Applications: Triangular PrismsThis is the transcript for the video: Geometry Applications--Triangular Prisms. In this video students study a real-world application of triangular prisms: The Flat Iron Building in New York City. |
Triangular Prisms | |
Video Transcript: Geometry Applications: What Are Prisms? |
Video Transcript: Geometry Applications: What Are Prisms?This is the transcript for the video: Geometry Applications--What Are Prisms? In this video students learn the basics of prisms and anti prisms. They learn the properties of triangular prisms, rectangular prisms, triangular antiprisms, and rectangular antiprisms. |
Rectangular Prisms and Triangular Prisms | |
VIDEO: Geometry Applications: 3D Geometry |
VIDEO: Geometry Applications: 3D GeometryIn 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. |
3-Dimensional Figures | |
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. |
3-Dimensional Figures | |
VIDEO: Geometry Applications: 3D Geometry, 2 |
VIDEO: Geometry Applications: 3D Geometry, Segment 2: PyramidsRectangular 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 Pyramids | |
VIDEO: Geometry Applications: 3D Geometry, 3 |
VIDEO: Geometry Applications: 3D Geometry, Segment 3: CylindersThe 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 Cylinders | |
VIDEO: Geometry Applications: 3D Geometry, Antiprisms |
VIDEO: Geometry Applications: 3D Geometry, AntiprismsIn this video students learn the basics of antiprisms, in the context of New York’s Freedom Tower, which has an antiprism design. They learn the properties of antiprisms, with the focus on those with a square base. |
3-Dimensional Figures | |
VIDEO: Geometry Applications: 3D Geometry, Rectangular Prisms |
VIDEO: Geometry Applications: 3D Geometry, Rectangular PrismsIn this video students learn the basics of rectangular prisms, in the context of a New York residential tower: 432 Park Avenue. |
Rectangular Prisms | |
VIDEO: Geometry Applications: 3D Geometry, Triangular Prisms |
VIDEO: Geometry Applications: 3D Geometry, Triangular PrismsIn this video students study a real-world application of triangular prisms: The Flat Iron Building in New York City. This building is an ideal example of a real-world prism and also provides a tie-in to right triangle geometry. |
Triangular Prisms | |
VIDEO: Geometry Applications: 3D Geometry, What Are Prisms? |
VIDEO: Geometry Applications: 3D Geometry, What Are Prisms?In this video students learn the basics of prisms and anti prisms. They learn the properties of triangular prisms, rectangular prisms, triangular antiprisms, and rectangular antiprisms. |
Rectangular Prisms and Triangular Prisms | |
VIDEO: Geometry Applications: Angles and Planes |
VIDEO: Geometry Applications: Angles and PlanesIn this program we explore the properties of angles and planes. We do this in the context of two real-world applications. In the first, we explore Japan's Himeji Castle and in the process learn about different types of angles and how they're used in a defensive fortification. |
Applications of Angles and Planes | |
VIDEO: Geometry Applications: Angles and Planes, 1 |
VIDEO: Geometry Applications: Angles and Planes, Segment 1: IntroductionThe observatory in Arecibo, Puerto Rico provides astronomers insights into the structure of our solar system. Geometrically, the solar system relies on the plane known as the ecliptic. |
Applications of Angles and Planes | |
VIDEO: Geometry Applications: Angles and Planes, 2 |
VIDEO: Geometry Applications: Angles and Planes, Segment 2: AnglesHimeji castle in Japan is a marvel of architecture and a startling example of geometry and military science. |
Applications of Angles and Planes | |
VIDEO: Geometry Applications: Angles and Planes, 3 |
VIDEO: Geometry Applications: Angles and Planes, Segment 3: PlanesIn the Canadian Rockies, the Burgess Shale fossils provide a window to prehistoric Earth. Fossil layers are folded into sedimentary rocks. And sedimentary rocks are examples of parallel planes. This segment uses the properties of planes to analyze fossils. |
Applications of Angles and Planes | |
VIDEO: Geometry Applications: Area and Volume |
VIDEO: Geometry Applications: Area and VolumeIn this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Area and Volume, 1 |
VIDEO: Geometry Applications: Area and Volume, Segment 1: Volume and Density.The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking. |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Area and Volume, 2 |
VIDEO: Geometry Applications: Area and Volume, Segment 2: Surface Area.The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid. |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Area and Volume, 3 |
VIDEO: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Circles |
VIDEO: Geometry Applications: CirclesIn this program we explore the properties of circles. We do this in the context of two real-world applications. In the first, we look at the design of the Roman Coliseum and explore how circular shapes could have been used to design this elliptical structure. |
Applications of Circles | |
VIDEO: Geometry Applications: Circles, 1 |
VIDEO: Geometry Applications: Circles, Segment 1: The Basics of Circles.We visit Chaco Canyon in New Mexico to explore the circular kivas and in the process discover how circular buildings have been used to study the heavens. |
Applications of Circles |