Illustrative Math Alignment: Grade 7 Unit 9

This is the transcript for the video: Geometry Applications—Antiprisms. In this video students learn the basics of antiprisms, in the context of New York’s Freedom Tower, which has an antiprism design. They learn the properties of antiprisms, with the focus on those with a square base.

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

This is the transcript for the video: Geometry Applications--What Are Prisms? In this video students learn the basics of prisms and anti prisms. They learn the properties of triangular prisms, rectangular prisms, triangular antiprisms, and rectangular antiprisms.

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

This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Variable Expressions with Integers.

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

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers.

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

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Description

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.

This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions.

The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward.

What Are Integers?

In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity.

In this video tutorial learn about perimeter in the context of triangles. Several examples of calculating a perimeter are shown: whole number sides, decimal sides. Then we look at triangles one of whose sides is a variable. The resulting perimeter is an algebraic expression. Finally, explore a situation where the perimeter is known but one of the side lengths is a variable. This results in an equation that can be solved for the variable.

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

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.

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

In this Brief Review, we explore simplifying variable expressions using algebra tiles.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Topic

3D Geometry

Topic

3D Geometry

Description

This segment introduces Platonic solids, including tetrahedron, cube, and dodecahedron, emphasizing their congruent edges, vertices, and angles. It connects these geometric figures to both natural and man-made structures, setting the stage for exploring 3D geometry applications.

This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts.

Topic

3D Geometry

Description

This segment explores pyramids, particularly Mayan and Egyptian structures, to distinguish rectangular and square bases. It discusses the volume of truncated pyramids using proportional relationships and introduces the concept of tiered volume reduction through geometric sequences.

This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts.

Topic

3D Geometry

Description

This segment examines cylinders, using the Shanghai Tower as a case study. It highlights how adjustments to height and radius affect volume and surface area, demonstrating these principles with geometric calculations and their architectural applications in energy efficiency.

This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts.

In this video students learn the basics of antiprisms, in the context of New York’s Freedom Tower, which has an antiprism design. They learn the properties of antiprisms, with the focus on those with a square base.

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

In this video students learn the basics of rectangular prisms, in the context of a New York residential tower: 432 Park Avenue. They learn the properties of rectangular prisms, with and without square bases, and the architectural requirements that influence the use of both types of rectangular prisms.

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

In this video students study a real-world application of triangular prisms: The Flat Iron Building in New York City. This building is an ideal example of a real-world prism and also provides a tie-in to right triangle geometry.

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

In this video students learn the basics of prisms and anti prisms. They learn the properties of triangular prisms, rectangular prisms, triangular antiprisms, and rectangular antiprisms.

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

Topic

Quadrilaterals

Topic

Quadrilaterals

Description

Description: Quadrilaterals are fundamental in structural design, as seen in examples like Stonehenge and home layouts. Their prevalence in construction stems from properties like parallel sides and stability, making them ideal for creating functional spaces.

Topic

Quadrilaterals

Description

Description: This segment examines quadrilaterals in modern architecture, such as Frank Lloyd Wright’s Fallingwater. It explores how rectangles derive stability and maximum area from right triangles, offering applications in both aesthetic and structural design.

Topic

Quadrilaterals

Description

Description: Focused on tilted parallelograms in architecture, such as Madrid’s Puerta de Europa towers, this segment discusses balance, center of gravity, and how slanted shapes maintain stability. Applications include structural engineering and innovative design.

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of combining like terms in an expression. Learning how to identify the different variables in word problems can be an important step toward solving equations and finding like terms. First, read the word problem and try to identify each variable represented. Then, write down your expressions including each variable you’ve identified. This will help you visualize what needs to be solved, making it easier to find like terms in each equation.

The next section provides background information on combining like terms.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

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Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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

Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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

Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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

Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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

Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 08

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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

Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 09

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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

Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 10

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 11

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 12

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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

Worksheet: Converting Decimals to Percents Greater Than 100, Set 13

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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

Worksheet Library

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