CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.HSG.MG.A.1

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Geometry Applications Teachers Guide: 3D Geometry

This is the Teacher's Guide that accompanies Geometry Applications: 3D Geometry.

To view the full video: https://www.media4math.com/library/geometry-applications-3d-geometry

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

Geometry Applications Teachers Guide: Angles and Planes

This is the Teacher's Guide that accompanies Geometry Applications: Angles and Planes.

To view the full video: https://www.media4math.com/library/geometry-applications-angles-and-planes

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-geometry-applications-angles-and-planes

Geometry Applications Teachers Guide: Circles

This is the Teacher's Guide that accompanies Geometry Applications: Circles.

To view the full video: https://www.media4math.com/library/geometry-applications-circles

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-geometry-applications-circles

Geometry Applications Teachers Guide: Coordinate Geometry

This is the Teacher's Guide that accompanies Geometry Applications: Coordinate Geometry.

To view the full video: https://www.media4math.com/library/geometry-applications-coordinate-geometry

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-geometry-applications-coordinate-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.

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

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.

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

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.

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

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.

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

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. 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. In the second applicaiton we explore sedimentary rock layers as examples of parallel planes. We explore the Burgess Shale fossils.

This video includes a video transcript: https://www.media4math.com/library/video-transcript-geometry-applications-angles-and-planes.

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

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. Geometrically, the solar system relies on the plane known as the ecliptic. In studying the Earth’s orbit it is important to know that the Earth’s axis of rotation is at an angle relative to the ecliptic. This segment introduces the key themes of the program.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-1-introduction

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. The castle was used to protect samurai armies from invading forces, and the use of acute, obtuse, and right angles as part of the defense structure provide many opportunities for exploring the nature of geometric angles.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-2-angles

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

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. And sedimentary rocks are examples of parallel planes. This segment uses the properties of planes to analyze fossils.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-3-planes

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-planes

Geometry Applications: Archer Fish

Archer Fish are amazing hunters, spraying water on insect prey to knock them into the water. We look at the geometric challenges the Archer Fish overcomes in its hunting.

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. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area. In the third application we look at the Citibank Tower in New York City to study the ratio of surface area to volume to learn about heat loss in tall buildings.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-area-and-volume

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-area-and-volume-segment-1-volume-and-density

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-area-and-volume-1

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-area-and-volume-segment-2-surface-area

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-area-and-volume-2

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. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-area-and-volume-segment-3-ratio-surface-area-volume

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-area-and-volume-3

VIDEO: Geometry Applications: Circles

In 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. In the second application we look at the Roman Pantheon, specifically its spherical dome, to see how the properties of chords and secants help clarify its unique design.

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

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

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-circles-segment-1-basics-circles

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-circles-segment-2-circles-and-arcs

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-circles-1

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. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-circles-segment-3-chords-and-inscribed-angles

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-circles-2

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. In the first, we look at longitude and latitude as a spherical coordinate system for navigation. In the second application we look at decimal values for longitude and latitude in a two-dimensional system for locating buried treasure at sea. In the third application we look at polar coordinates in the context of Frank Lloyd Wright's design for the Guggenheim Museum.

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

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

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 longitude and latitude coordinate system.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-coordinate-geometry-segment-1-longitude-and-latitude

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-coordinate-geometry-1

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. Aside from the technology used to recover the treasure, it was a rectangular coordinate system that made such an endeavor possible.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-coordinate-geometry-segment-2-rectangular

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-coordinate-geometry-2

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. This shape, found often in nature, is a way to understand the Fibonacci Sequence.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-coordinate-geometry-segment-3-polar-coordinates

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-coordinate-geometry-3