Title | Description | Thumbnail Image | Curriculum Topics |
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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. |
Applications of Angles and Planes | |
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. |
Applications of Angles and Planes | |
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. |
Applications of Angles and Planes | |
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. |
Applications of Angles and Planes | |
Closed Captioned Video: Geometry Applications: Points and Lines |
DescriptionIn 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. |
Applications of Points and Lines, Definition of a Line, Definition of a Point | |
Closed Captioned Video: Geometry Applications: Points and Lines, Segment 2: Points |
DescriptionGeometric 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. |
Applications of Points and Lines | |
Closed Captioned Video: Geometry Applications: Points and Lines, Segment 3: Lines |
DescriptionMany 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. |
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. |
Geometric Constructions with Points and Lines, Parallel Lines, Perpendicular Lines | |
Definition--Geometry Basics--Biconditional Statement |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Point | |
Definition--Geometry Basics--Circumference |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Circle | |
Definition--Geometry Basics--Conditional Statement |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Point | |
Definition--Geometry Basics--Congruence |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of Transformations | |
Definition--Geometry Basics--Conjecture |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Point | |
Definition--Geometry Basics--Contrapositive Statement |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Point | |
Definition--Geometry Basics--Converse of a Conditional Statement |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Point | |
Definition--Geometry Basics--Diameter |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Circle | |
Definition--Geometry Basics--Inverse Statement |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Point | |
Definition--Geometry Basics--Line |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Line | |
Definition--Geometry Basics--Line Segment |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Line | |
Definition--Geometry Basics--Parallel Lines |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Line | |
Definition--Geometry Basics--Perpendicular Lines |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Line | |
Definition--Geometry Basics--Point |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Point | |
Definition--Geometry Basics--Radius |
This is a collection of definitions related to basic geometric concepts.Note: The download is a PNG file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Create a Slide ShowSubscribers can use Slide Show Creator to create a slide show from the compl |
Definition of a Circle | |
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-pla… |
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. |
Applications of Angles and Planes |