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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 19: Estimating a Hemisphere

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Promethean Flipchart: Geometry Applications: 3D Geometry 2

The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series. Note: The download for this resources is the Promethean Flipchart.

To access the full video [Geometry Applications: 3D Geometry, Segment 3: Cylinders]: https://media4math.com/library/geometry-applications-3d-geometry-segment-3-cylinders

This video includes a Video Transcript [Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders]: https://www.media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-3-cylinders

 

Applications of 3D Geometry
QuizletFlashCards.jpg Quizlet Flash Cards: Point-Slope Form

In this set of Quizlet flash cards test understanding of the point-slope form.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Point-Slope Form
QuizletFlashCards.jpg Quizlet Flash Cards: Slope-Intercept Form

In this set of Quizlet flash cards test understanding of the slope-intercept form.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Slope-Intercept Form
Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions

This is part of a collection of self-scoring interactive math quizzes on a variety of topics.

To see the complete of these quizzes, click on this link. Note: The download is the teacher's guide.

Related Resources

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

Quiz Library

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

ary">click on this link.

Graphs of Linear Functions, Slope and Slope-Intercept Form
TI-84 Tutorial: Linear Functions TI-84 Tutorial: Linear Functions TI-84 Tutorial: Linear Functions

In this TI-84 tutorial we show how to graph linear functions and trace their coordinates. Note: The download is a PPT file.

Graphs of Linear Functions
Video Definition 1--3D Geometry--Antiprism Video Definition 1--3D Geometry--Antiprism Antiprism

Topic

3D Geometry

Definition

An antiprism is a polyhedron composed of two parallel copies of some particular polygon, connected by an alternating band of triangles.

3-Dimensional Figures
Video Definition 1--3D Geometry--Antiprism--Spanish Audio Video Definition 1--3D Geometry--Antiprism--Spanish Audio Video Definition 1--3D Geometry--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 10--3D Geometry--Dodecahedron Video Definition 10--3D Geometry--Dodecahedron Dodecahedron

Topic

3D Geometry

Definition

A dodecahedron is a three-dimensional geometric shape with twelve flat faces, each a regular pentagon.

Description

Dodecahedrons are part of the family of Platonic solids, known for their symmetry and aesthetic appeal. They are used in various fields, including molecular chemistry and architecture, where symmetry plays a crucial role. Understanding dodecahedrons is important in math education as it introduces students to complex geometric shapes and their properties. Teachers can use models and diagrams to demonstrate the symmetry and structure of dodecahedrons, fostering an appreciation for geometric beauty and complexity.

3-Dimensional Figures
Video Definition 10--3D Geometry--Dodecahedron--Spanish Audio Video Definition 10--3D Geometry--Dodecahedron--Spanish Audio Video Definition 10--3D Geometry--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 11--3D Geometry--Edge Video Definition 11--3D Geometry--Edge Edge

Topic

3D Geometry

Definition

An edge is a line segment where two faces of a 3D shape meet.

3-Dimensional Figures
Video Definition 11--3D Geometry--Edge--Spanish Audio Video Definition 11--3D Geometry--Edge--Spanish Audio Video Definition 11--3D Geometry--Edge--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 12--3D Geometry--Face Video Definition 12--3D Geometry--Face Face

Topic

3D Geometry

Definition

A face is a flat surface that forms part of the boundary of a solid object.

3-Dimensional Figures
Video Definition 12--3D Geometry--Face--Spanish Audio Video Definition 12--3D Geometry--Face--Spanish Audio Video Definition 12--3D Geometry--Face--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 13--3D Geometry--Horizontal Cross-Section of a Cube Video Definition 13--3D Geometry--Horizontal Cross-Section of a Cube Horizontal Cross-Section of a Cube

Topic

3D Geometry

Definition

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

3-Dimensional Figures
Video Definition 13--3D Geometry--Horizontal Cross-Section of a Cube--Spanish Audio Video Definition 13--3D Geometry--Horizontal Cross-Section of a Cube--Spanish Audio Video Definition 13--3D Geometry--Horizontal 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 14--3D Geometry--Horizontal Cross-Section of a Cylinder Video Definition 14--3D Geometry--Horizontal Cross-Section of a Cylinder Horizontal Cross-Section of a Cylinder

Topic

3D Geometry

Definition

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

Cylinders
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 2--3D Geometry--Apex Video Definition 2--3D Geometry--Apex Apex

Topic

3D Geometry

Definition

The apex is the highest point in a geometric figure, such as the top of a pyramid or cone.

3-Dimensional Figures
Video Definition 2--3D Geometry--Apex--Spanish Audio Video Definition 2--3D Geometry--Apex--Spanish Audio Video Definition 2--3D Geometry--Apex--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 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 23--3D Geometry--Icosahedron Video Definition 23--3D Geometry--Icosahedron Icosahedron

Topic

3D Geometry

Definition

An icosahedron is a three-dimensional shape with twenty flat triangular faces.

3-Dimensional Figures
Video Definition 23--3D Geometry--Icosahedron--Spanish Audio Video Definition 23--3D Geometry--Icosahedron--Spanish Audio Video Definition 23--3D Geometry--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 24--3D Geometry--Net Video Definition 24--3D Geometry--Net Net

Topic

3D Geometry

Definition

A net is a two-dimensional representation of a three-dimensional shape, showing all its faces laid out flat.

3-Dimensional Figures
Video Definition 24--3D Geometry--Net--Spanish Audio Video Definition 24--3D Geometry--Net--Spanish Audio Video Definition 24--3D Geometry--Net--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 25--3D Geometry--Net for a Cone Video Definition 25--3D Geometry--Net for a Cone Net for a Cone

Topic

3D Geometry

Definition

A net for a cone is a two-dimensional representation of a cone, showing its circular base and curved surface laid out flat.

3-Dimensional Figures
Video Definition 25--3D Geometry--Net for a Cone--Spanish Audio Video Definition 25--3D Geometry--Net for a Cone--Spanish Audio Video Definition 25--3D Geometry--Net for 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.

3-Dimensional Figures
Video Definition 26--3D Geometry--Net for a Cube Video Definition 26--3D Geometry--Net for a Cube Net for a Cube

Topic

3D Geometry

Definition

A net for a cube is a two-dimensional representation of a cube, showing its six square faces laid out flat.

Cubes
Video Definition 26--3D Geometry--Net for a Cube--Spanish Audio Video Definition 26--3D Geometry--Net for a Cube--Spanish Audio Video Definition 26--3D Geometry--Net for 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 27--3D Geometry--Net for a Cylinder Video Definition 27--3D Geometry--Net for a Cylinder Net for a Cylinder

Topic

3D Geometry

Definition

A net for a cylinder is a two-dimensional representation of a cylinder, showing its two circular bases and rectangular curved surface laid out flat.

3-Dimensional Figures
Video Definition 27--3D Geometry--Net for a Cylinder--Spanish Audio Video Definition 27--3D Geometry--Net for a Cylinder--Spanish Audio Video Definition 27--3D Geometry--Net for 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.

3-Dimensional Figures
Video Definition 28--3D Geometry--Net for a Dodecahedron Video Definition 28--3D Geometry--Net for a Dodecahedron Net for a Dodecahedron

Topic

3D Geometry

Definition

A net for a dodecahedron is a two-dimensional representation of a dodecahedron, showing its twelve pentagonal faces laid out flat.

3-Dimensional Figures
Video Definition 28--3D Geometry--Net for a Dodecahedron--Spanish Audio Video Definition 28--3D Geometry--Net for a Dodecahedron--Spanish Audio Video Definition 28--3D Geometry--Net for 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 29--3D Geometry--Net for a Pyramid Video Definition 29--3D Geometry--Net for a Pyramid Net for a Pyramid

Topic

3D Geometry

Definition

A net for a pyramid is a two-dimensional representation of a pyramid, showing its base and triangular faces laid out flat.

Pyramids
Video Definition 29--3D Geometry--Net for a Pyramid--Spanish Audio Video Definition 29--3D Geometry--Net for a Pyramid--Spanish Audio Video Definition 29--3D Geometry--Net for a 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 3--3D Geometry--Base (Geometry) Video Definition 3--3D Geometry--Base (Geometry) Base (Geometry)

Topic

3D Geometry

Definition

The base of a geometric figure is the surface a solid object stands on or the bottom line of a shape like a triangle or rectangle.

Description

The concept of a base is fundamental in geometry as it provides a reference point for measuring height and calculating area and volume. In real-world applications, the base is crucial in construction and design, where the stability of a structure often depends on its base. In mathematics, the base is used to derive formulas for area and volume, such as the volume V of a prism: 

V = Base Area × Height

3-Dimensional Figures