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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 15: Volume of Prisms

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Volume
Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Volume
Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Volume
Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Volume
Video Definition 59--3D Geometry--Volume Video Definition 59--3D Geometry--Volume Volume

Topic

3D Geometry

Definition

Volume is the amount of space occupied by a three-dimensional object.

Description

Volume is a fundamental concept in geometry, representing the amount of space a three-dimensional object occupies. It is essential for calculating the capacity of containers, the displacement of fluids, and the mass of objects. Understanding volume involves using formulas specific to each shape, such as 

V = l × w × h

 for a rectangular prism or 

V = 4/3 πr3

Volume
Video Definition 59--3D Geometry--Volume Video Definition 59--3D Geometry--Volume Volume

Topic

3D Geometry

Definition

Volume is the amount of space occupied by a three-dimensional object.

Description

Volume is a fundamental concept in geometry, representing the amount of space a three-dimensional object occupies. It is essential for calculating the capacity of containers, the displacement of fluids, and the mass of objects. Understanding volume involves using formulas specific to each shape, such as 

V = l × w × h

 for a rectangular prism or 

V = 4/3 πr3

Volume
Video Definition 59--3D Geometry--Volume Video Definition 59--3D Geometry--Volume Volume

Topic

3D Geometry

Definition

Volume is the amount of space occupied by a three-dimensional object.

Description

Volume is a fundamental concept in geometry, representing the amount of space a three-dimensional object occupies. It is essential for calculating the capacity of containers, the displacement of fluids, and the mass of objects. Understanding volume involves using formulas specific to each shape, such as 

V = l × w × h

 for a rectangular prism or 

V = 4/3 πr3

Volume
Video Definition 59--3D Geometry--Volume Video Definition 59--3D Geometry--Volume Volume

Topic

3D Geometry

Definition

Volume is the amount of space occupied by a three-dimensional object.

Description

Volume is a fundamental concept in geometry, representing the amount of space a three-dimensional object occupies. It is essential for calculating the capacity of containers, the displacement of fluids, and the mass of objects. Understanding volume involves using formulas specific to each shape, such as 

V = l × w × h

 for a rectangular prism or 

V = 4/3 πr3

Volume
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio)

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio)

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio)

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio) Video Definition 23--Polynomial Concepts--Volume Models with Polynomials (Spanish Audio)

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials Video Definition 23--Polynomial Concepts--Volume Models with Polynomials

This is part of a collection of math video definitions related to to the topic of polynomials. Note: The download is an MP4 video.

Polynomial Expressions
Definition--Polynomial Concepts--Volume Models with Polynomials Definition--Polynomial Concepts--Volume Models with Polynomials Volume Models with Polynomials

Topic

Polynomials

Definition

Volume models with polynomials involve using polynomial expressions to represent the volume of three-dimensional geometric shapes.

Description

Polynomials play a significant role in various fields of mathematics and applied sciences. In the context of volume models, polynomials are used to represent the dimensions and volume of geometric shapes. For instance, the volume of a rectangular prism can be expressed as a polynomial where the length, width, and height are variables. This allows for a flexible and powerful way to model and solve real-world problems involving three-dimensional spaces.

Polynomial Expressions
Definition--Polynomial Concepts--Volume Models with Polynomials Definition--Polynomial Concepts--Volume Models with Polynomials Volume Models with Polynomials

Topic

Polynomials

Definition

Volume models with polynomials involve using polynomial expressions to represent the volume of three-dimensional geometric shapes.

Description

Polynomials play a significant role in various fields of mathematics and applied sciences. In the context of volume models, polynomials are used to represent the dimensions and volume of geometric shapes. For instance, the volume of a rectangular prism can be expressed as a polynomial where the length, width, and height are variables. This allows for a flexible and powerful way to model and solve real-world problems involving three-dimensional spaces.

Polynomial Expressions
Definition--Polynomial Concepts--Volume Models with Polynomials Definition--Polynomial Concepts--Volume Models with Polynomials Volume Models with Polynomials

Topic

Polynomials

Definition

Volume models with polynomials involve using polynomial expressions to represent the volume of three-dimensional geometric shapes.

Description

Polynomials play a significant role in various fields of mathematics and applied sciences. In the context of volume models, polynomials are used to represent the dimensions and volume of geometric shapes. For instance, the volume of a rectangular prism can be expressed as a polynomial where the length, width, and height are variables. This allows for a flexible and powerful way to model and solve real-world problems involving three-dimensional spaces.

Polynomial Expressions
Definition--Polynomial Concepts--Volume Models with Polynomials Definition--Polynomial Concepts--Volume Models with Polynomials Volume Models with Polynomials

Topic

Polynomials

Definition

Volume models with polynomials involve using polynomial expressions to represent the volume of three-dimensional geometric shapes.

Description

Polynomials play a significant role in various fields of mathematics and applied sciences. In the context of volume models, polynomials are used to represent the dimensions and volume of geometric shapes. For instance, the volume of a rectangular prism can be expressed as a polynomial where the length, width, and height are variables. This allows for a flexible and powerful way to model and solve real-world problems involving three-dimensional spaces.

Polynomial Expressions
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume. Closed Captioned Video: Geometry Applications: Area and Volume, 3 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume. Closed Captioned Video: Geometry Applications: Area and Volume, 3 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume. Closed Captioned Video: Geometry Applications: Area and Volume, 3 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume

In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area. In the third application we look at the Citibank Tower in New York City to study the ratio of surface area to volume to learn about heat loss in tall buildings.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume. Closed Captioned Video: Geometry Applications: Area and Volume, 3 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume. Closed Captioned Video: Geometry Applications: Area and Volume, 3 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Closed Captioned Video: Geometry Applications: Area and Volume, 1 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume. Closed Captioned Video: Geometry Applications: Area and Volume, 3 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume

In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area. In the third application we look at the Citibank Tower in New York City to study the ratio of surface area to volume to learn about heat loss in tall buildings.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume

In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area. In the third application we look at the Citibank Tower in New York City to study the ratio of surface area to volume to learn about heat loss in tall buildings.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Closed Captioned Video: Geometry Applications: Area and Volume, 2 Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Applications of Surface Area and Volume, Surface Area and Volume
Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume Closed Captioned Video: Geometry Applications: Area and Volume

In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area. In the third application we look at the Citibank Tower in New York City to study the ratio of surface area to volume to learn about heat loss in tall buildings.

Applications of Surface Area and Volume, Surface Area and Volume