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Activity Guide: Building a Scale Model of Himeji Castle |
This hands-on activity is a companion to the video segment from the Geometry Applications: Angles and Planes video. In particular, it supports the segment on the architecture of Himeji Castle. |
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Closed Captioned Video: Geometry Applications: Angles and Planes |
DescriptionIn 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. |
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Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 1: Introduction |
DescriptionThe 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. |
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Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 2: Angles |
DescriptionHimeji 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. |
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Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 3: Planes |
DescriptionIn 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. |
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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. |
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Definition--Angle Concepts--Acute Angle |
Definition--Angle Concepts--Acute AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Adjacent Angles |
Definition--Angle Concepts--Adjacent AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Alternate Exterior Angles |
Definition--Angle Concepts--Alternate Exterior AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Alternate Interior Angles |
Definition--Angle Concepts--Alternate Interior AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Angle |
Definition--Angle Concepts--AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Angle Bisector |
Definition--Angle Concepts--Angle BisectorThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Angle Measure |
Definition--Angle Concepts--Angle MeasureThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Angle Vertex |
Definition--Angle Concepts--Angle VertexThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Central Angle |
Definition--Angle Concepts--Central AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Circumscribed Angle |
Definition--Angle Concepts--Circumscribed AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Complementary Angle |
Definition--Angle Concepts--Complementary AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Congruent Angles |
Definition--Angle Concepts--Congruent AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Corresponding Angles |
Definition--Angle Concepts--Corresponding AnglesThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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Definition--Angle Concepts--Exterior Angle |
Definition--Angle Concepts--Exterior AngleThis is a collection of definitions related to angles and related concepts. This includes general definitions for angles, angle measures, and angle properties, as well as specific angle types. Relationships among different types of angles are also defined. |
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