HSG-GMD.A.2

(+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

 
5 Lesson(s)
   

Volume Formulas, Cavalieri's Principle, and 2-D Cross-Sections

Geometry » Unit: Geometric Measurement and Dimension
Geometry » Unit: Geometric Measurement and Dimension
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

In a differentiated lesson based on student choice, students will be able to practice finding the volume of prisms or apply Cavalieri's Principle to determine the volume formula for a sphere.

 
Favorites (1)
 
Resources (28)
 
Reflections (3)
candy bar lesson image
   

Exploring Circumference, Area and Cavalieri's principle

Geometry » Unit: 3-D Shapes and Volume
Geometry » Unit: 3-D Shapes and Volume
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

Students will discover properties of circumference, area and Cavalieri's principle in stations.

 
Favorites (6)
 
Resources (19)
 
Reflections (1)
image for circumference area of circles and cavalieri s principle
   

The Sphere and the Cylinder (Part 2)

Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Using Cavalieri’s Principle to relate the volumes of cylinders, hemispheres, and cones--Hemisphere plus cone equals cylinder!

 
Favorites (3)
 
Resources (29)
thesphereandthecylinder2 image
   

Assessment for 3D Unit

Geometry » Unit: 3-D Shapes and Volume
Geometry » Unit: 3-D Shapes and Volume
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

Students will create a video demonstrating how to derive volume formulas.

 
Favorites (1)
 
Resources (12)
image for assessment of 3d unit changing cylinder
   

Volume "Quest"

Geometry » Unit: Geometric Measurement and Dimension
Geometry » Unit: Geometric Measurement and Dimension
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

On this unit assessment, students will demonstrate their understanding of volume on problems of varying difficulty.

 
Resources (3)
quest
Common Core Math
 
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