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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Angles, Triangles, and Prisms

Lesson 11: Slicing Solids

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Video Definition 14--3D Geometry--Horizontal Cross-Section of a Cylinder--Spanish Audio Video Definition 14--3D Geometry--Horizontal Cross-Section of a Cylinder--Spanish Audio Video Definition 14--3D Geometry--Horizontal Cross-Section of a Cylinder--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.

Cylinders
Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron Horizontal Cross-Section of a Dodecahedron

Topic

3D Geometry

Definition

A horizontal cross-section of a dodecahedron is the intersection of the dodecahedron with a horizontal plane, resulting in a polygon.

3-Dimensional Figures
Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron--Spanish Audio Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron--Spanish Audio Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron--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 16--3D Geometry--Horizontal Cross-Section of a Sphere Video Definition 16--3D Geometry--Horizontal Cross-Section of a Sphere Horizontal Cross-Section of a Sphere

Topic

3D Geometry

Definition

A horizontal cross-section of a sphere is the intersection of the sphere with a horizontal plane, resulting in a circle.

3-Dimensional Figures
Video Definition 16--3D Geometry--Horizontal Cross-Section of a Sphere--Spanish Audio Video Definition 16--3D Geometry--Horizontal Cross-Section of a Sphere--Spanish Audio Video Definition 16--3D Geometry--Horizontal Cross-Section of a Sphere--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 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid Video Definition 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid Horizontal Cross-Section of a Square Pyramid

Topic

3D Geometry

Definition

A horizontal cross-section of a square pyramid is the intersection of the pyramid with a horizontal plane, resulting in a square or a smaller polygon.

Pyramids
Video Definition 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid--Spanish Audio Video Definition 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid--Spanish Audio Video Definition 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid--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.

Pyramids
Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron Horizontal Cross-Section of a Tetrahedron

Topic

3D Geometry

Definition

A horizontal cross-section of a tetrahedron is the intersection of the tetrahedron with a horizontal plane, resulting in a triangle or another polygon.

3-Dimensional Figures
Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron--Spanish Audio Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron--Spanish Audio Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron--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 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism Video Definition 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism Horizontal Cross-Section of a Triangular Prism

Topic

3D Geometry

Definition

A horizontal cross-section of a triangular prism is the intersection of the prism with a horizontal plane, resulting in a rectangle or another polygon.

Triangular Prisms
Video Definition 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism--Spanish Audio Video Definition 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism--Spanish Audio Video Definition 19--3D Geometry--Horizontal Cross-Section 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 Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism Video Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism Horizontal Cross-Section of an Antiprism

Topic

3D Geometry

Definition

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

3-Dimensional Figures
Video Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism--Spanish Audio Video Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism--Spanish Audio Video Definition 20--3D Geometry--Horizontal 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 21--3D Geometry--Horizontal Cross-Section of an Icosahedron Video Definition 21--3D Geometry--Horizontal Cross-Section of an Icosahedron Horizontal Cross-Section of an Icosahedron

Topic

3D Geometry

Definition

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

3-Dimensional Figures
Video Definition 21--3D Geometry--Horizontal Cross-Section of an Icosahedron--Spanish Audio Video Definition 21--3D Geometry--Horizontal Cross-Section of an Icosahedron--Spanish Audio Video Definition 21--3D Geometry--Horizontal Cross-Section of an Icosahedron--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 22--3D Geometry--Horizontal Cross-Section of a Cone--Spanish Audio Video Definition 22--3D Geometry--Horizontal Cross-Section of a Cone--Spanish Audio Video Definition 22--3D Geometry--Horizontal Cross-Section of a Cone--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.

Cones
Video Definition 22--3D Geometry--Horizontal Cross-Sections of a Cone Video Definition 22--3D Geometry--Horizontal Cross-Section of a Cone Horizontal Cross-Section of a Cone

Topic

3D Geometry

Definition

A horizontal cross-section of a cone is the intersection of the cone with a horizontal plane, resulting in a circle.

Cones
Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube Vertical Cross-Section of a Cube

Topic

3D Geometry

Definition

A vertical cross-section of a cube is the intersection of the cube with a vertical plane, resulting in a square.

3-Dimensional Figures
Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube--Spanish Audio Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube--Spanish Audio Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube--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 50--3D Geometry--Vertical Cross-Section of a Dodecahedron Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron Vertical Cross-Section of a Dodecahedron

Topic

3D Geometry

Definition

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

3-Dimensional Figures
Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron--Spanish Audio Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron--Spanish Audio Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron--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 51--3D Geometry--Vertical Cross-Section of a Sphere Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere Vertical Cross-Section of a Sphere

Topic

3D Geometry

Definition

A vertical cross-section of a sphere is the intersection of the sphere with a vertical plane, resulting in a circle.

3-Dimensional Figures
Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere--Spanish Audio Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere--Spanish Audio Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere--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 52--3D Geometry--Vertical Cross-Section of a Tetrahedron Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron Vertical Cross-Section of a Tetrahedron

Topic

3D Geometry

Definition

A vertical cross-section of a tetrahedron is the intersection of the tetrahedron with a vertical plane, resulting in a triangle or another polygon.

3-Dimensional Figures
Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--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 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 54--3D Geometry--Vertical Cross-Section of an Icosahedron Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron Vertical Cross-Section of an Icosahedron

Topic

3D Geometry

Definition

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

3-Dimensional Figures
Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--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 55--3D Geometry--Vertical Cross-Sections of a Cone Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone Vertical Cross-Sections of a Cone

Topic

3D Geometry

Definition

Vertical cross-sections of a cone are the intersections of the cone with vertical planes, resulting in shapes like triangles or parabolas.

Cones
Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--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.

Cones
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder Vertical Cross-Sections of a Cylinder

Topic

3D Geometry

Definition

Vertical cross-sections of a cylinder are the intersections of the cylinder with vertical planes, resulting in rectangles or ellipses.

Cylinders
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--Spanish Audio Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--Spanish Audio Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--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.

Cylinders
Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid Vertical Cross-Sections of a Square Pyramid

Topic

3D Geometry

Definition

Vertical cross-sections of a square pyramid are the intersections of the pyramid with vertical planes, resulting in triangles or trapezoids.

Pyramids
Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--Spanish Audio Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--Spanish Audio Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--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.

Pyramids
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 Definition 6--3D Geometry--Cross-sections of a Cube Video Definition 6--3D Geometry--Cross-sections of a Cube Cross-sections of a Cube

Topic

3D Geometry

Definition

Cross-sections of a cube are the intersections of a plane with the cube, resulting in various two-dimensional shapes.

Cubes
Video Definition 6--3D Geometry--Cross-sections of a Cube--Spanish Audio Video Definition 6--3D Geometry--Cross-sections of a Cube--Spanish Audio Video Definition 6--3D Geometry--Cross-sections of a Cube--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.

Cubes
Video Definition 7--3D Geometry--Cross-Sections of a Sphere Video Definition 7--3D Geometry--Cross-Sections of a Sphere Cross-Sections of a Sphere

Topic

3D Geometry

Definition

Cross-sections of a sphere are circular slices obtained by cutting the sphere with a plane.

Spheres
Video Definition 7--3D Geometry--Cross-Sections of a Sphere--Spanish Audio Video Definition 7--3D Geometry--Cross-Sections of a Sphere--Spanish Audio Video Definition 7--3D Geometry--Cross-Sections of a Sphere--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.

Spheres
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—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