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.

17 Lesson(s)

Geometry » Unit: Geometric Measurement and Dimension
Sunnyvale, CA
Environment: Suburban

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Resources (27)

Reflections (2)

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

Geometry » Unit: Geometric Measurement and Dimension
Geometry » Unit: Geometric Measurement and Dimension
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.

Standards:

Favorites (1)

Resources (28)

Reflections (3)

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

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Favorites (6)

Resources (19)

Reflections (1)

Volume of Cylinders, Cones, and Spheres

Geometry » Unit: The Third Dimension
Geometry » Unit: The Third Dimension
New York, NY
Environment: Urban

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Favorites (5)

Resources (14)

Step Into the 3rd Dimension

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

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Favorites (4)

Resources (32)

Reflections (4)

Pyramids and Spheres Exploration

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

Big Idea:

Students will use play dough to discover the volume formulas for pyramids and spheres.

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Favorites (8)

Resources (36)

Reflections (2)

Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Ault, CO
Environment: Rural

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Favorites (1)

Resources (18)

Circles, Circumference and Area

Geometry » Unit: The Third Dimension
Geometry » Unit: The Third Dimension
New York, NY
Environment: Urban

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Favorites (2)

Resources (14)

End of Year Assessment

Geometry » Unit: Final Assessment
Geometry » Unit: Final Assessment
New York, NY
Environment: Urban

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Resources (12)

Reflections (1)

The Pyramid Stack (Part 1)

Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Ault, CO
Environment: Rural

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Standards:

Resources (22)

The Pyramid Stack (Part 2)

Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Ault, CO
Environment: Rural

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Standards:

Resources (22)

Old and New Knowledge of Circles

12th Grade Math » Unit: Trigonometry: Circles
12th Grade Math » Unit: Trigonometry: Circles
Worcester, MA
Environment: Urban

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Resources (13)

Arguments for Volume Formulas for Pyramids and Cones

Geometry » Unit: Measurement and Dimension
Geometry » Unit: Measurement and Dimension
Environment: Suburban

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Standards:

Resources (20)

Reflections (3)

Constructing an Argument for the Circumference Formula

Geometry » Unit: Measurement and Dimension
Geometry » Unit: Measurement and Dimension
Environment: Suburban

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Standards:

Favorites (1)

Resources (14)

Reflections (3)

Argument for the Volume Formula of a Cylinder

Geometry » Unit: Measurement and Dimension
Geometry » Unit: Measurement and Dimension
Environment: Suburban

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Standards:

Resources (22)

Reflections (2)
Common Core Math