Title | Description | Thumbnail Image | Curriculum Topics |
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Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Angles and Planes | |
Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Angles and Planes | |
Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Angles and Planes | |
Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Angles and Planes | |
Closed Captioned 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. In the first, we go to CERN and learn about the Large Hadron Collidor. We look at how points can represent particle positions in space and look at properties of points and lines. In the second application we investigate the properties of lines in the context of city grids. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Points and Lines, Definition of a Line, Definition of a Point | |
Closed Captioned Video: Geometry Applications: Points and Lines, Segment 2: Points |
Geometric objects are abstractions that seem to have a connection to real world objects. In the case of a geometric point, we visit the CERN particle accelerator in Switzerland, where the smallest known subatomic particles are produced, to see how subatomic particles compare to geometric points. A mathematical analysis reveals the nature of geometric points and point-like materials objects. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Points and Lines, Definition of a Line, Definition of a Point | |
Closed Captioned 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. We visit the city of Houston to investigate the geometric nature of the city grid in its downtown area. We explore properties of intersecting and parallel lines and why this is the most efficient way to organize a city or community. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Points and Lines, Definition of a Line, Definition of a Point | |
Collections in a Box: Parallel and Perpendicular Lines |
This cheat sheet gathers together the resources on the topic of parallel and perpendicular lines. See the descriptions and links below. Each link takes you to a collection of resources around that topic. The middle column indicates the number of resources available and the third column takes you to page on Media4Math where those resources can be found. Subscribers can download the PDF version of this cheat sheet. Click Preview to see the HTML version. |
Geometric Constructions with Points and Lines, Parallel Lines, Perpendicular Lines | |
Definition--Biconditional Statement |
Definition of the term "Biconditional Statement." Note: The download is a PNG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this Link. |
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Definition--Conditional Statement |
Definition of the term "Conditional Statement." Note: The download is a PNG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
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Definition--Congruence |
The definition of the term "Congruence." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
Definition of Transformations | |
Definition--Conjecture |
Definition of the term "Conditional Statement." Note: The download is a PNG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
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Definition--Contrapositive Statement |
Definition of the term "Contrapositive Statement." Note: The download is a PNG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
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Definition--Converse of a Conditional Statement |
Definition of the term "Converse Statement." Note: The download is a PNG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
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Definition--Inverse Statement |
Definition of the term "Inverse Statement." Note: The download is a PNG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
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Definition--Line |
The definition of the term "Line." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
Applications of Points and Lines, Definition of a Line | |
Definition--Line Segment |
The definition of the term "Line Segment." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
Applications of Points and Lines, Definition of a Line | |
Definition--Parallel Lines |
The definition of the term "Parallel Lines." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
Applications of Points and Lines, Definition of a Line | |
Definition--Perpendicular Lines |
The definition of the term "Perpendicular Lines." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
Applications of Points and Lines, Definition of a Line | |
Definition--Point |
The definition of the term "Point." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
Definition of a Point | |
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 |
Applications of 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. 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 |
Applications of 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 |
Applications of Angles and Planes | |
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 |
Applications of Angles and Planes | |
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 |
Applications of Angles and Planes |