CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.HSG.CO.A.1

Title Description Thumbnail Image

Definition--Acute Angle

The definition of the term "Acute Angle."

Definition--Center

Definition of the term "Center."

Definition--Chord

The definition of the term "Chord."

Definition--Circle

The definition of the term "Circle."

Definition--Congruence

The definition of the term "Congruence."

Definition--Line

The definition of the term "Line."

Definition--Line Segment

The definition of the term "Line Segment."

Definition--Parallel Lines

The definition of the term "Parallel Lines."

Definition--Perpendicular Lines

The definition of the term "Perpendicular Lines."

Definition--Point

The definition of the term "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

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

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.

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

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.

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

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

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.

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

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

Google Earth Voyager Story: The Geometry of Castles

During Medieval times, castles were fortresses, mini-cities where the royalty lived, and symbols of power. Most castles were tall, imposing structures. But why were they so tall? Was it just for symbolic reasons, to allow a king to show his center of power and influence? In this exploration, we will explore the geometry of castles in order to better understand why they were built the way they were. To see the Google Earth version of this lesson go to this link (best viewed in Chrome).

Note: The download is the Teacher's Guide.

Promethean Flipchart: Geometry Applications: 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. Note: The download for this resources is the Promethean Flipchart.

To access the full video [Geometry Applications: Angles and Planes, Segment 2: Angles]: https://www.media4math.com/library/geometry-applications-angles-and-planes-segment-2-angles

This video includes a video transcript [Video Transcript: Geometry Applications: Angles and Planes, Segment 2: Angles]: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-2-angles

 

Promethean Flipchart: Geometry Applications: 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. Note: The download for this resources is the Promethean Flipchart.

To view the video [VIDEO: Geometry Applications: Points and Lines, Segment 3: Lines]: https://www.media4math.com/library/geometry-applications-points-and-lines-segment-3-lines

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

Promethean Flipchart: Geometry Applications: 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. Note: The download for this resources is the Promethean Flipchart.

This video [VIDEO: Geometry Applications: Angles and Planes, Segment 3: Planes] includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-3-planes

To view the video [VIDEO: Geometry Applications: Angles and Planes, Segment 3: Planes]: https://www.media4math.com/library/geometry-applications-angles-and-planes-segment-3-planes

Promethean Flipchart: Geometry Applications: 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. Note: The download for this resources is the Promethean Flipchart.

This video [VIDEO: Geometry Applications: Points and Lines, Segment 2: Points] includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-points-and-lines-segment-2-points

VIDEO: Geometry Applications: Points and Lines, Segment 2:https://www.media4math.com/library/geometry-applications-points-and-lines-segment-2-points

Video Transcript: Geometry Applications: Angles and Planes

This is the transcript for the video of same title. Video contents: 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.

To view the full video: https://www.media4math.com/library/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 Transcript: Geometry Applications: Angles and Planes, Segment 1: Introduction

This is the transcript for the video of same title. Video contents: 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.

To access the full video: https://media4math.com/library/geometry-applications-angles-and-planes-segment-1-introduction