## 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

Big Idea:

#### By critiquing others' written explanations of triangle and trapezoid area formulas, students will develop strategies for determining areas of other 2-D shapes.

Standards:

Favorites (5)

Resources (27)

Reflections (2)

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 (3)

Resources (28)

Reflections (3)

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

Big Idea:

#### Students will use manipulative, such as pennies and clay to investigate the volume of cylinders, cones and spheres.

Standards:

Favorites (7)

Resources (14)

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

Big Idea:

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Favorites (8)

Resources (19)

Reflections (1)

### Step Into the 3rd Dimension

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

Big Idea:

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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.

Standards:

Favorites (9)

Resources (36)

Reflections (2)

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

Big Idea:

Standards:

Favorites (1)

Resources (18)

### Circles, Circumference and Area

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

Big Idea:

Standards:

Favorites (2)

Resources (14)

### End of Year Assessment

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

Big Idea:

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Favorites (1)

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

Big Idea:

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

Big Idea:

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

Big Idea:

#### Students explore the idea that pi and the trig ratios are really just the same shoes on different feet.

Standards:

Resources (13)

Geometry » Unit: Measurement and Dimension
Environment: Suburban

Big Idea:

#### Yogi's smarter than the average bear and a cone's like a cylinder with an average base. After this lesson, students will know what this all means.

Standards:

Resources (20)

Reflections (3)

Geometry » Unit: Measurement and Dimension
Environment: Suburban

Big Idea:

#### Circular Argument? In this lesson, students use structural analysis, trigonometry, and limits to show that the circumference of a circle is twice the product of pi and the radius.

Standards:

Favorites (1)

Resources (14)

Reflections (3)

Geometry » Unit: Measurement and Dimension
Environment: Suburban

Big Idea:

Standards:

Resources (22)

Reflections (2)
Common Core Math