HSG-GMD.A.3

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- HSG-GMD.A.1Give 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.
- HSG-GMD.A.3Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*
- 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.

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## HSG-GMD.A.3

## Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*

13 Lesson(s)

### Volume of Cylinders, Cones, and Spheres

Geometry »
Unit: The Third Dimension

Geometry »
Unit: The Third Dimension

Big Idea:

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

Standards:

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(5)

Resources
(14)

### Pyramids and Spheres Exploration

Geometry »
Unit: 3-D Shapes and Volume

Geometry »
Unit: 3-D Shapes and Volume

Big Idea:

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

Standards:

Favorites
(9)

Resources
(36)

Reflections
(2)

### Geometric Modeling: Alice's Adventures in Wonderland, Day 1

Geometry »
Unit: Geometric Modeling

Geometry »
Unit: Geometric Modeling

Big Idea:

#### Students solve problems involving measurement based on information from the book Alice's Adventures in Wonderland by Lewis Carroll.

Standards:

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(6)

Resources
(13)

### Assessment for 3D Unit

Geometry »
Unit: 3-D Shapes and Volume

Geometry »
Unit: 3-D Shapes and Volume

Big Idea:

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

Standards:

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(1)

Resources
(12)

### Volume of Prisms and Pyramids

Geometry »
Unit: The Third Dimension

Geometry »
Unit: The Third Dimension

Big Idea:

#### In this lesson, students practice solving problems involving the volume of prisms and pyramids with polygonal bases.

Standards:

Favorites
(2)

Resources
(16)

Big Idea:

#### This is a comprehensive assessment of all content learned to date.

Standards:

Favorites
(1)

Resources
(12)

Reflections
(1)

### Ratios of Similarity and 3D Solids Generated by Revolving 2D Figures

Geometry »
Unit: Geometric Measurement and Dimension

Geometry »
Unit: Geometric Measurement and Dimension

Big Idea:

#### Through reciprocal teaching, students will gain confidence in solving volume problems.

Standards:

Favorites
(2)

Resources
(17)

Reflections
(2)

### Geometric Modeling: Alice's Adventures in Wonderland, Day 2

Geometry »
Unit: Geometric Modeling

Geometry »
Unit: Geometric Modeling

Big Idea:

#### Students solve problems involving measurement based on information from the book Alice's Adventures in Wonderland by Lewis Carroll. This is the first day of a two-day lesson.

Standards:

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(1)

Resources
(15)

Big Idea:

#### Students will work in groups to solve verbal problems involving the volume of solids. They will present their solutions to the class.

Standards:

Resources
(14)

### End of Year Assessment Review Day 4 of 4

Geometry »
Unit: Final Assessment

Geometry »
Unit: Final Assessment

Big Idea:

#### In this lesson, students practice questions involving concepts from the units on circles, the third dimension, and modeling.

Standards:

Favorites
(1)

Resources
(9)

### Volume "Quest"

Geometry »
Unit: Geometric Measurement and Dimension

Geometry »
Unit: Geometric Measurement and Dimension

Big Idea:

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

Standards:

Resources
(3)

### Solids of Revolution

Geometry »
Unit: Measurement and Dimension

Geometry »
Unit: Measurement and Dimension

Big Idea:

#### Close Encounters of the Third Dimension...In this lesson, students see 2-D figures transform into 3-D solids.

Standards:

Resources
(17)

Reflections
(3)

### Solving Problems involving Volumes of Solids

Geometry »
Unit: Measurement and Dimension

Geometry »
Unit: Measurement and Dimension

Big Idea:

#### This is where it all comes together...In this lesson, students use skills they've gained over the course of the year to solve complex and challenging problems.

Standards:

Favorites
(1)

Resources
(22)

Reflections
(4)

Common Core Math

### Kindergarten

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### HS Number & Quantity

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### HS Geometry

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### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School