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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Angles, Triangles, and Prisms

Lesson 12: Volume of Right Prisms

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Video Definition 33--3D Geometry--Net for an Antiprism Video Definition 33--3D Geometry--Net for an Antiprism Net for an Antiprism

Topic

3D Geometry

Definition

A net for an antiprism is a two-dimensional representation of an antiprism, showing its two polygonal bases and the alternating triangular faces laid out flat.

3-Dimensional Figures
Video Definition 33--3D Geometry--Net for an Antiprism--Spanish Audio Video Definition 33--3D Geometry--Net for an Antiprism--Spanish Audio Video Definition 33--3D Geometry--Net for an Antiprism--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.

3-Dimensional Figures
Video Definition 38--3D Geometry--Prism Video Definition 38--3D Geometry--Prism Prism

Topic

3D Geometry

Definition

A prism is a three-dimensional shape with two parallel, congruent bases and rectangular lateral faces.

Description

Prisms are important geometric shapes characterized by their two parallel, congruent bases and rectangular lateral faces. They are used in various fields, including architecture, engineering, and optics, to create structures and lenses. In mathematics, prisms are essential for understanding concepts of volume and surface area, with formulas like 

V = Base Area × Height 

3-Dimensional Figures
Video Definition 38--3D Geometry--Prism--Spanish Audio Video Definition 38--3D Geometry--Prism--Spanish Audio Video Definition 38--3D Geometry--Prism--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.

3-Dimensional Figures
Video Definition 40--3D Geometry--Rectangular Prism Video Definition 40--3D Geometry--Rectangular Prism Rectangular Prism

Topic

3D Geometry

Definition

A rectangular prism is a three-dimensional shape with six rectangular faces, twelve edges, and eight vertices.

Description

Rectangular prisms are fundamental geometric shapes characterized by their six rectangular faces, twelve edges, and eight vertices. They are used in various fields, including architecture, engineering, and packaging, to create structures and containers. In mathematics, rectangular prisms are essential for understanding concepts of volume and surface area, with formulas like 

V = l × w × h 

Rectangular Prisms
Video Definition 40--3D Geometry--Rectangular Prism--Spanish Audio Video Definition 40--3D Geometry--Rectangular Prism--Spanish Audio Video Definition 40--3D Geometry--Rectangular Prism--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.

Rectangular Prisms
Video Definition 46--3D Geometry--Triangular Prism Video Definition 46--3D Geometry--Triangular Prism Triangular Prism

Topic

3D Geometry

Definition

A triangular prism is a three-dimensional shape with two parallel triangular bases and three rectangular faces.

Description

Triangular prisms are important geometric shapes characterized by their two parallel triangular bases and three rectangular lateral faces. They are used in various fields, including architecture, engineering, and optics, to create structures and lenses. In mathematics, triangular prisms are essential for understanding concepts of volume and surface area, with formulas like 

V = Base Area × Height

Triangular Prisms
Video Definition 46--3D Geometry--Triangular Prism--Spanish Audio Video Definition 46--3D Geometry--Triangular Prism--Spanish Audio Video Definition 46--3D Geometry--Triangular Prism--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.

Triangular Prisms
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism Vertical Cross-Section of an Antiprism

Topic

3D Geometry

Definition

A vertical cross-section of an antiprism is the intersection of the antiprism with a vertical plane, resulting in a polygon.

3-Dimensional Figures
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--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.

3-Dimensional Figures
Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism Vertical Cross-Sections of a Triangular Prism

Topic

3D Geometry

Definition

Vertical cross-sections of a triangular prism are the intersections of the prism with vertical planes, resulting in rectangles or triangles.

Triangular Prisms
Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--Spanish Audio Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--Spanish Audio Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--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.

Triangular Prisms
Video Transcript: Geometry Applications—Antiprisms Video Transcript: Geometry Applications: Antiprisms Video Transcript: Geometry Applications: Antiprisms

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.

This is part of a collection of video transcript from the Geometry Applications video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

3-Dimensional Figures
Video Transcript: Geometry Applications—Rectangular Prisms Video Transcript: Geometry Applications: Rectangular Prisms Rectangular Prisms
Video Transcript: Geometry Applications—Triangular Prisms Video Transcript: Geometry Applications: Triangular Prisms Video Transcript: Geometry Applications: Triangular Prisms

This is the transcript for the video: Geometry Applications--Triangular Prisms. 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.

Triangular Prisms
Video Transcript: Geometry Applications—What Are Prisms? Video Transcript: Geometry Applications: What Are Prisms? Video Transcript: Geometry Applications: What Are Prisms?

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.

This is part of a collection of video transcript from the Geometry Applications video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Rectangular Prisms and Triangular Prisms
VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids VIDEO: 3D Geometry Animation: Antiprisms 2 VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids

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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —

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.

3-Dimensional Figures
Video: Geometry Applications—Antiprisms VIDEO: Geometry Applications: 3D Geometry, Antiprisms VIDEO: Geometry Applications: 3D Geometry, 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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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.

3-Dimensional Figures
Video: Geometry Applications—Rectangular Prisms VIDEO: Geometry Applications: 3D Geometry, Rectangular Prisms VIDEO: Geometry Applications: 3D Geometry, Rectangular Prisms

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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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.

Rectangular Prisms
Video: Geometry Applications—Triangular Prisms VIDEO: Geometry Applications: 3D Geometry, Triangular Prisms VIDEO: Geometry Applications: 3D Geometry, Triangular Prisms

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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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.

Triangular Prisms
Video: Geometry Applications—What Are Prisms? VIDEO: Geometry Applications: 3D Geometry, What Are Prisms? VIDEO: Geometry Applications: 3D Geometry, 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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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.

Rectangular Prisms and Triangular Prisms