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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 Cavalieriâs principle for the formulas for the volume of a sphere and other solid figures.

Volume of Cylinders, Cones, and Spheres

Geometry

Â» Unit:

The Third Dimension

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

Pyramids and Spheres Exploration

Geometry

Â» Unit:

3-D Shapes and Volume

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

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

Geometry

Â» Unit:

Geometric Modeling

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

Assessment for 3D Unit

Geometry

Â» Unit:

3-D Shapes and Volume

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

Volume of Prisms and Pyramids

Geometry

Â» Unit:

The Third Dimension

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

End of Year Assessment

Geometry

Â» Unit:

Final Assessment

Big Idea:This is a comprehensive assessment of all content learned to date.

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

Geometry

Â» Unit:

Geometric Measurement and Dimension

Big Idea:Through reciprocal teaching, students will gain confidence in solving volume problems.

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

Geometry

Â» 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.

Volume Practice

Geometry

Â» Unit:

The Third Dimension

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

End of Year Assessment Review Day 4 of 4

Geometry

Â» Unit:

Final Assessment

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

Volume "Quest"

Geometry

Â» Unit:

Geometric Measurement and Dimension

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

Solids of Revolution

Geometry

Â» 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.

Solving Problems involving Volumes of Solids

Geometry

Â» 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.

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.

HSG-GMD.A.3

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

HSG-GMD.A.2

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