Title | Description | Thumbnail Image | Curriculum Topics |
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Video Transcript: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles |
Video Transcript: Geometry Applications: Quadrilaterals, Segment 2: Squares and RectanglesThis is the transcript for the video of same title. Video contents: Frank Lloyd Wright's architectural masterpiece Falling Water is also a stunning assembly of quadrilateral shapes. |
Applications of Quadrilaterals | |
Video Transcript: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids |
Video Transcript: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and TrapezoidsThis is the transcript for the video of same title. Video contents: The Puerta de Europa towers in Madrid bring parallelograms front and center. |
Applications of Quadrilaterals | |
Video Transcript: Geometry Applications: Transformations |
Video Transcript: Geometry Applications: TransformationsThis is the transcript for the video of same title. Video contents: In this program we look at applications of transformations. We do this in the context of three real-world applications. In the first, we look at translations and rotations in the context of roller coaster rides. |
Applications of Transformations | |
Video Transcript: Geometry Applications: Transformations, Segment 1: Translations and Rotations |
Video Transcript: Geometry Applications: Transformations, Segment 1: Translations and RotationsThis is the transcript for the video of same title. Video contents: Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced. |
Applications of Transformations | |
Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations |
Video Transcript: Geometry Applications: Transformations, Segment 2: 3D TranslationsThis is the transcript for the video of same title. Video contents: Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. |
Applications of Transformations | |
Video Transcript: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry |
Video Transcript: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and SymmetryThis is the transcript for the video of same title. Video contents: The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. |
Applications of Transformations | |
Video Transcript: Geometry Applications: Triangles |
Video Transcript: Geometry Applications: TrianglesThis is the transcript for the video of same title. Video contents: In this program we explore the properties of triangle. We do this in the context of two real-world applications. |
Applications of Triangles | |
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: 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: 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 | |
VIDEO: Geometry Applications: Circles, 2 |
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs.The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes. |
Applications of Circles and Definition of a Circle |