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VIDEO: Geometry Applications: 3D Geometry, Pyramid Volume |
VIDEO: Geometry Applications: 3D Geometry, Pyramid Volume
In this video, students see a derivation of the formula for the volume of a pyramid. |
Pyramids |
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VIDEO: Geometry Applications: 3D Geometry, Rectangular Prisms |
VIDEO: Geometry Applications: 3D Geometry, Rectangular Prisms
In this video students learn the basics of rectangular prisms, in the context of a New York residential tower: 432 Park Avenue. |
Rectangular Prisms |
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VIDEO: Geometry Applications: 3D Geometry, Triangular Prisms |
VIDEO: Geometry Applications: 3D Geometry, Triangular Prisms
In this video students study a real-world application of triangular prisms: The Flat Iron Building in New York City. |
Triangular Prisms |
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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. |
Rectangular Prisms and Triangular Prisms |
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VIDEO: Geometry Applications: Angles and Planes |
VIDEO: Geometry Applications: Angles and Planes
In this program we explore the properties of angles and planes. We do this in the context of two real-world applications. |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Angles and Planes, 1 |
VIDEO: Geometry Applications: Angles and Planes, Segment 1: Introduction
The observatory in Arecibo, Puerto Rico provides astronomers insights into the structure of our solar system. |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Angles and Planes, 2 |
VIDEO: Geometry Applications: Angles and Planes, Segment 2: Angles
Himeji castle in Japan is a marvel of architecture and a startling example of geometry and military science. |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Angles and Planes, 3 |
VIDEO: Geometry Applications: Angles and Planes, Segment 3: Planes
In the Canadian Rockies, the Burgess Shale fossils provide a window to prehistoric Earth. Fossil layers are folded into sedimentary rocks. |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Area and Volume |
VIDEO: Geometry Applications: Area and Volume
In this program we look at applications of area and volume. We do this in the context of three real-world applications. |
Applications of Surface Area and Volume, Surface Area and Volume |
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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. |
Applications of Surface Area and Volume, Surface Area and Volume |
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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. |
Applications of Surface Area and Volume, Surface Area and Volume |
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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. |
Applications of Surface Area and Volume, Surface Area and Volume |
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VIDEO: Geometry Applications: Circles |
VIDEO: Geometry Applications: Circles
In this program we explore the properties of circles. We do this in the context of two real-world applications. |
Applications of Circles |
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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 |
Applications of Circles |
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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. |
Applications of Circles and Definition of a Circle |
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VIDEO: Geometry Applications: Circles, 3 |
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles
The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. |
Applications of Circles and Definition of a Circle |
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VIDEO: Geometry Applications: Coordinate Geometry |
VIDEO: Geometry Applications: Coordinate Geometry
In this program we look at applications of coordinate geometry. We do this in the context of three real-world applications. |
Applications of Coordinate Geometry and Coordinate Systems |
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VIDEO: Geometry Applications: Coordinate Geometry, 1 |
VIDEO: Geometry Applications: Coordinate Geometry, Segment 1: Longitude and Latitude.
Greenwich, England, is the location of the Prime Meridian and offers a point of departure for a discussion of the longitud |
Applications of Coordinate Geometry and Coordinate Systems |
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VIDEO: Geometry Applications: Coordinate Geometry, 2 |
VIDEO: Geometry Applications: Coordinate Geometry, Segment 2: Rectangular Coordinates.
Centuries ago a Spanish galleon, The Atocha, sank off the coast of Florida, taking its gold treasure down with it. |
Applications of Coordinate Geometry and Coordinate Systems |
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VIDEO: Geometry Applications: Coordinate Geometry, 3 |
VIDEO: Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates.
The Guggenheim Museum in New York City has a spiral shape that is an example of a polar coordinate graph. |
Applications of Coordinate Geometry and Coordinate Systems |
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VIDEO: Geometry Applications: Points and Lines |
VIDEO: Geometry Applications: Points and Lines
In this program we explore the properties of points and lines. We do this in the context of two real-world applications. |
Applications of Points and Lines, Definition of a Line and Definition of a Point |
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VIDEO: Geometry Applications: Points and Lines, 1 |
VIDEO: Geometry Applications: Points and Lines, Segment 1: Introduction
Our understanding of geometry owes much to the ancient Greeks. |
Applications of Points and Lines, Definition of a Line and Definition of a Point |
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VIDEO: Geometry Applications: Points and Lines, 2 |
VIDEO: Geometry Applications: Points and Lines, Segment 2: Points
Geometric objects are abstractions that seem to have a connection to real world objects. |
Applications of Points and Lines, Definition of a Line and Definition of a Point |
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VIDEO: Geometry Applications: Points and Lines, 3 |
VIDEO: Geometry Applications: Points and Lines, Segment 3: Lines
Many cities are laid out in a rectangular grid and are examples of intersecting lines and rays. |
Applications of Points and Lines, Definition of a Line and Definition of a Point |
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VIDEO: Geometry Applications: Polygons |
VIDEO: Geometry Applications: Polygons
In this program we explore the properties of polygons. We do this in the context of two real-world applications. |
Applications of Polygons |
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VIDEO: Geometry Applications: Polygons, 1 |
VIDEO: Geometry Applications: Polygons, Segment 1: Introduction
The Pentagon is one of the most famous polygon-shaped buildings in the world. |
Applications of Polygons and Definition of a Polygon |
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VIDEO: Geometry Applications: Polygons, 2 |
VIDEO: Geometry Applications: Polygons, Segment 2: Properties of Polygons
In the ancient city of Marrakesh polygons are on display. |
Applications of Polygons and Definition of a Polygon |
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VIDEO: Geometry Applications: Polygons, 3 |
VIDEO: Geometry Applications: Polygons, Segment 3: Composite Figures
The Petronas Towers in Indonesia provide an opportunity to explore the composite shapes used in the design of the towers. |
Applications of Polygons and Definition of a Polygon |
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VIDEO: Geometry Applications: Quadrilaterals |
VIDEO: Geometry Applications: Quadrilaterals
In this program we explore the properties of quadrilaterals. We do this in the context of two real-world applications. |
Applications of Quadrilaterals |
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VIDEO: Geometry Applications: Quadrilaterals, 1 |
VIDEO: Geometry Applications: Quadrilaterals, Segment 1: Introduction
Stonehenge is best known as a circular structure. |
Applications of Quadrilaterals |
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VIDEO: Geometry Applications: Quadrilaterals, 2 |
VIDEO: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles
Frank Lloyd Wright’s architectural masterpiece Falling Water is also a stunning assembly of quadrilateral shapes. |
Applications of Quadrilaterals |
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VIDEO: Geometry Applications: Quadrilaterals, 3 |
VIDEO: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids
The Puerta de Europa towers in Madrid bring parallelograms front and center. |
Applications of Quadrilaterals |
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VIDEO: Geometry Applications: Transformations |
VIDEO: Geometry Applications: Transformations
In this program we look at applications of transformations. We do this in the context of three real-world applications. |
Applications of Transformations and Definition of Transformations |
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VIDEO: Geometry Applications: Transformations, 1 |
VIDEO: Geometry Applications: Transformations, Segment 1: Translations and Rotations.
Roller coasters provide an ideal opportunity to explore translations and rotations. |
Applications of Transformations and Definition of Transformations |
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VIDEO: Geometry Applications: Transformations, 2 |
VIDEO: Geometry Applications: Transformations, Segment 2: 3D Translations.
Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. |
Applications of Transformations and Definition of Transformations |
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VIDEO: Geometry Applications: Transformations, 3 |
VIDEO: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry.
The Gemini telescope in Hawaii is an example of architecture that moves. |
Applications of Transformations and Definition of Transformations |
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VIDEO: Geometry Applications: Triangles |
VIDEO: Geometry Applications: Triangles
In this program we explore the properties of triangles. We do this in the context of two real-world applications. |
Definition of a Triangle and Applications of Triangles |
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VIDEO: Geometry Applications: Triangles, 1 |
VIDEO: Geometry Applications: Triangles, Segment 1: Introduction
The Bank of China building in Hong Kong is a dramatic example of triangular support. |
Definition of a Triangle and Applications of Triangles |
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VIDEO: Geometry Applications: Triangles, 2 |
VIDEO: Geometry Applications: Triangles, Segment 2: Triangles
The Eiffel Tower includes quite a number of exposed triangular trusses. |
Applications of Triangles |
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VIDEO: Geometry Applications: Triangles, 3 |
VIDEO: Geometry Applications: Triangles, Segment 3: Right Triangles
The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. |
Applications of Triangles and Definition of a Triangle |