Illustrative Math Alignment: Grade 7 Unit 7

Topic

Equations

Topic

Equations

Topic

Equations

Topic

Equations

Topic

Equations

Topic

Equations

Topic

Equations

Topic

Equations

Topic

Equations

This set of tutorials provides 26 examples of how to find the length of a side of a triangle using given angle or side measurements.

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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

The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. The shapes of sails went from rectangular to triangular. The use of right-triangle-shaped sails changed the nature of sailing. Becoming less reliant on oarsmen and being able to sail under nearly any wind conditions, the sailboat made the conquest of the seas possible. We explore the properties of right triangles that make such sails ideal. Note: The download for this resources is the Promethean Flipchart.

A full video is available here [Geometry Applications: Triangles, Segment 3: Right Triangles]: https://media4math.com/library/geometry-applications-triangles-segment-3-right-triangles

The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed. Note: The download for this resources is the Promethean Flipchart.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-triangles

To view the video Geometry Applications: Triangles: https://www.media4math.com/library/geometry-applications-triangles

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

This is part of a collection of self-scoring interactive math quizzes on a variety of topics.

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Quiz Library

ary">click on this link.

This is the transcript for the video entitled, Desmos Geometry Exploration: Angles. In this video tutorial angles are defined. Students are shown how to construct and measure using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Desmos Geometry Exploration: Classifying Triangle by Angle. In this video tutorial triangles are classified by the types of angles that make up the triangle. Students are then shown how to construct such triangles using the Desmos geometry tools.

The Desmos geometry tools can be found at www.desmos.com/geometry. The video is available for this tutorial at this link: https://www.media4math.com/library/video-tutorial-desmos-geometry-exploration-classifying-triangles-angle. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic click on the Related Resources tab above.

Desmos Collection

To see the complete collection of Desmos Resources go to this link: https://www.media4math.com/desmos-resources.

Note: The download is a PDF file.

This is the transcript for the video entitled, Desmos Geometry Exploration: Classifying Triangle by Side. In this video tutorial triangles are classified by the side lengths that make up the triangle. Students are then shown how to construct such triangles using the Desmos geometry tools.

This is the transcript for the video entitled, Desmos Geometry Exploration: Types of Angles I. In this video tutorial different types of angles are defined, including acute, right, supplementary, and straight angles. Students are shown how to construct these types of angles using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

This is the transcript for the video entitled, Desmos Geometry Exploration: Types of Angles II. In this video tutorial different types of angles are defined, including adjacent angles, complementary angles, supplementary angles, and vertical angles. Students are shown how to construct these types of angles using the Desmos geometry tools. The Desmos geometry tools can be found at www.desmos.com/geometry.

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.

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.

This is the transcript for the video of same title. Video contents: 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 is the transcript for the video of same title. Video contents: 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 is the transcript for the video of same title. Video contents: The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.

This is the transcript for the video of same title. Video contents: Frank Lloyd Wright's architectural masterpiece Falling Water is also a stunning assembly of quadrilateral shapes. Some of the rectangular forms in this building seem to defy gravity, as we explore the properties of squares and rectangles that allowed Frank Lloyd Wright to push the envelope of design and structure.

This is the transcript for the video of same title. Video contents: In this program we explore the properties of triangle. We do this in the context of two real-world applications. In the first, we explore the triangular trusses in the Eiffel Tower and in the process learn about key properties of triangles. In the second application, we look at right-triangle-shaped sails on sail boat and why these are the ideal shape for efficient sailing.

This is the transcript for the video of same title. Video contents: The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video of same title. Video contents: The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed.

This is the transcript for the video of same title. Video contents: The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. The shapes of sails went from rectangular to triangular. The use of right-triangle-shaped sails changed the nature of sailing. Becoming less reliant on oarsmen and being able to sail under nearly any wind conditions, the sailboat made the conquest of the seas possible. We explore the properties of right triangles that make such sails ideal.

This is part of a collection of video tutorials on the topic of using the Desmos Geometry tools to explore geometric concepts.

This is part of a collection of video tutorials on the topic of using the Desmos Geometry tools to explore geometric concepts.

This is part of a collection of video tutorials on the topic of using the Desmos Geometry tools to explore geometric concepts.

This is part of a collection of video tutorials on the topic of using the Desmos Geometry tools to explore geometric concepts.

This is part of a collection of video tutorials on the topic of using the Desmos Geometry tools to explore geometric concepts.

In this video learn about the properties of isosceles triangles. The video includes real-world examples of isosceles triangles.

In this video explore the relationship between slope and similar triangles.

Topic

Geometry Basics

Topic

Geometry Basics

Description

This segment introduces angles and planes through the Earth's orbital ecliptic and its 23-degree tilt. It connects these geometric principles to real-world phenomena, such as seasons and Kepler's laws, laying a foundation for subsequent discussions on angles and planes.

Topic

Geometry Basics

Description

This segment focuses on the strategic use of angles in Himeji Castle for defense. It explains tangent lines, line-of-sight angles, and acute angle measurements, connecting these concepts to historical architecture and modern geometry tools for analysis.

Topic

Geometry Basics

Description

This segment delves into parallel planes, illustrated by sedimentary rock layers in fossil analysis. It shows how these concepts are used to determine the relative age of fossils and explores how tectonic activity can alter parallel planes to create geological intersections.