CCSS.MATH.CONTENT.HSG.GMD.A.1

CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.HSG.GMD.A.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

There are 32 resources.

Title	Description	Curriculum Topics
VIDEO: 3D Geometry Animation: Antiprism	This animated sequence showsan antiprism from top to bottom.	3-Dimensional Figures, Triangular Prisms
VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids	This animated sequence shows an antiprism unfolding into two pyramids.	3-Dimensional Figures
VIDEO: 3D Geometry Animation: Cone	This animated sequence shows a cone from top to bottom.	3-Dimensional Figures, Cones
VIDEO: 3D Geometry Animation: Cube	This animated sequence shows a cube from top to bottom.	3-Dimensional Figures, Cubes
VIDEO: 3D Geometry Animation: Cylinder	This animated sequence shows a cylinder from top to bottom.	3-Dimensional Figures, Cylinders
VIDEO: 3D Geometry Animation: Octahedron	This animated sequence shows an octahedron from top to bottom.	3-Dimensional Figures
VIDEO: 3D Geometry Animation: Pyramid	This animated sequence shows a pyramid from top to bottom.	3-Dimensional Figures, Pyramids
VIDEO: 3D Geometry Animation: Rectangular Prism	This animated sequence shows a rectangular prism from top to bottom.	3-Dimensional Figures, Rectangular Prisms
VIDEO: 3D Geometry Animation: Tetrahedron	This animated sequence shows a tetrahedron from top to bottom.	3-Dimensional Figures
VIDEO: 3D Geometry Animation: Triangular Prism	This animated sequence shows a triangular prism from top to bottom.	3-Dimensional Figures
VIDEO: Algebra Nspirations: Functions and Relations, Segment 3	In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 4, click the following link:	Applications of Functions and Relations, Conic Sections, Relations and Functions, Geometric Constructions with Circles
Closed Captioned Video: Geometry Applications--Pyramid Volume	Description In this video, students see a derivation of the formula for the volume of a pyramid. This involves a hands-on activity using unit cubes, along with analysis, and a detailed algebraic derivation. A Video Transcript is available for this tutorial. Note: The download is Media4Math's guide to closed captioned videos.	Pyramids
Definition--Geometry Basics--Pyramid	This is a collection of definitions related to basic geometric concepts. Note: The download is a PNG file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Create a Slide Show Subscribers can use Slide Show Creator to create a slide show from the compl	Pyramids
Formulas--Volume of a Cylinder	The formula for the Volume of a Triangular Prism. Note: The download is a JPG file. Related Resources To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas	Volume
Formulas--Volume of a Sphere	Note: The download is a JPG file. Related Resources To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas	Volume
Formulas--Volume of a Square Pyramid	Note: The download is a JPG file. Related Resources To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas	Volume
Formulas--Volume of a Triangular Prism	Note: The download is a JPG file. Related Resources To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas	Volume
Formulas--Volume of a Triangular Pyramid	Volume of a Triangular Pyramid Watch this video to learn about the volume of a pyramid. (The video transcript is also included.)	Volume
Google Earth Voyager Story: The Mathematics of Pyramids, Part 1	In this Google Earth Voyager story visit pyramids around the world and learn about the geometry of pyramids. In this lesson, visit the pyramids of Giza and learn about the properties of pyramids. In particular, see the derivation of the formula for the volume of a pyramid. To the see Google Earth content that accompanies this lesson click on this link (best viewed in Chrome).	Pyramids
Google Earth Voyager Story: The Mathematics of Pyramids, Part 2	In this Google Earth Voyager story visit pyramids around the world and learn about the geometry of pyramids. In this lesson, visit two Mayan pyramids and learn about sequences and series, as well as using what you've learned about the geometry of pyramids and other three-dimensional figures.	Pyramids
Instructional Resource: TI-Nspire Activity: Exploring the Ratio of Circumference to Radius as a Linear Function	In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.	Applications of Linear Functions, Applications of Circles, Geometric Constructions with Circles
Interactive Math Game--Memory Game: 3D Figures	Description Use this math game to review 3D figures. This is a Memory-style game in which students must remember the location of pairs of identical images. Note: The download is the Teacher's Guide.	3-Dimensional Figures
Math Clip Art--Net for a Cube	This is part of a collection of math clip art images that show two-dimensional nets of three-dimensional solids. Note: The download is a PNG file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Create a Slide Show Subscribers can use Slide Show Creat	3-Dimensional Figures
Math Clip Art--Net for a Pyramid	This is part of a collection of math clip art images that show two-dimensional nets of three-dimensional solids. Note: The download is a PNG file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Create a Slide Show Subscribers can use Slide Show Creat	3-Dimensional Figures
Math Clip Art--Net for a Rectangular Prism	This is part of a collection of math clip art images that show two-dimensional nets of three-dimensional solids. Note: The download is a PNG file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Create a Slide Show Subscribers can use Slide Show Creat	3-Dimensional Figures

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.HSG.GMD.A.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

This animated sequence showsan antiprism from top to bottom.

This animated sequence shows an antiprism unfolding into two pyramids.

This animated sequence shows a cone from top to bottom.

This animated sequence shows a cube from top to bottom.

This animated sequence shows a cylinder from top to bottom.

This animated sequence shows an octahedron from top to bottom.

This animated sequence shows a pyramid from top to bottom.

This animated sequence shows a rectangular prism from top to bottom.

This animated sequence shows a tetrahedron from top to bottom.

This animated sequence shows a triangular prism from top to bottom.

In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 4, click the following link:

Description

This is a collection of definitions related to basic geometric concepts.

Note: The download is a PNG file.

Related Resources

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

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the compl

The formula for the Volume of a Triangular Prism. Note: The download is a JPG file.

Related Resources

To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas

Note: The download is a JPG file.

Related Resources

To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas

Note: The download is a JPG file.

Related Resources

To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas

Note: The download is a JPG file.

Related Resources

To see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas

Volume of a Triangular Pyramid Watch this video to learn about the volume of a pyramid. (The video transcript is also included.)

Volume of a Triangular Pyramid

In this Google Earth Voyager story visit pyramids around the world and learn about the geometry of pyramids. In this lesson, visit two Mayan pyramids and learn about sequences and series, as well as using what you've learned about the geometry of pyramids and other three-dimensional figures.

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

Description Use this math game to review 3D figures. This is a Memory-style game in which students must remember the location of pairs of identical images. Note: The download is the Teacher's Guide.

Description

This is part of a collection of math clip art images that show two-dimensional nets of three-dimensional solids.

Note: The download is a PNG file.

Related Resources

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

Create a Slide Show

Subscribers can use Slide Show Creat

This is part of a collection of math clip art images that show two-dimensional nets of three-dimensional solids.

Note: The download is a PNG file.

Related Resources

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

Create a Slide Show

Subscribers can use Slide Show Creat

This is part of a collection of math clip art images that show two-dimensional nets of three-dimensional solids.

Note: The download is a PNG file.

Related Resources

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

Create a Slide Show

Subscribers can use Slide Show Creat

© Media4Math. All rights reserved

In this Investigation we look at functions.

This video is Segment 3 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 4, click the following link:

The formula for the Volume of a Triangular Prism.

Note: The download is a JPG file.

Volume of a Triangular Pyramid

Watch this video to learn about the volume of a pyramid. (The video transcript is also included.)

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function.

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

Description

Use this math game to review 3D figures. This is a Memory-style game in which students must remember the location of pairs of identical images.

Note: The download is the Teacher's Guide.