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Exercises from Illustrative MathematicsA set of 4 exercises, commentary, and solutions
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Teacher and Student versions of full lesson from engageNY
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Students understand the precise language that describes the properties of volume.Students understand that the volume of any right cylinder is given by the formula area of base×height.Teacher and Student versions of full lesson from engageNY
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Students use Cavalieri’s principle and the cone cross section theorem to show that a general pyramid or cone has volume (1/3)Bh where B is the area of the base and h is the height by comparing it with a right rectangular pyramid with base area B and height h.Teacher and Student versions of full lesson from engageNY
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Students give an informal argument using Cavalieri’s principle for the volume formula of a sphere and use the volume formula to derive a formula for the surface area of a sphere.Teacher and Student versions of full lesson from engageNY
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Visualize cross-sections of three-dimensional objects.Have an understanding of how a 3D printer works and its relation to Cavalieri’s principle.Teacher and Student versions of full lesson from engageNY
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Areas and Volumes

by Allen Wolmer

A link to a page containing many lessons, videos, exercises, and text from CK-12. Additional resources available at this site.
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