Illustrative Math Alignment: Grade 7 Unit 7

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.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

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

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.

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.

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.

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.

In this program we explore the properties of triangles. 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.

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.

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.

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 math worksheets that are crossword puzzles of math vocabulary.

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Solve a word search puzzle on the topic of Triangles.

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Solve a word search puzzle on the topic of Triangles.

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Solve a word search puzzle on the topic of Triangles.

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Solve a word search puzzle on the topic of Triangles.

Related Resources

Solve a word search puzzle on the topic of Triangles.

Related Resources