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.

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Our understanding of geometry owes much to the ancient Greeks. We visit the ancient Acropolis and explore some of its geometric secrets.

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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.

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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.

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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.

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This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.

This is a collection of definitions related to triangles and related concepts. This includes general definitions for triangles and triangle properties, as well as specific triangle types. Relationships among different types of triangles are also defined.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Definitions on this topic, click on this Link.