Created on: April 29, 2015

Website Address: https://library.curriki.org/oer/Teacher-Resources-89489

TABLE OF CONTENTS

- Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
- Students understand the definitions of a general prism and a cylinder and the distinction between a cross-section and a slice.
- Students understand the precise language that describes the properties of volume.
- Students use Cavalieri’s principle
- Students give an informal argument using Cavalieri’s principle for the volume formula of a sphere
- Visualize cross-sections of three-dimensional objects. Have an understanding of how a 3D printer works and its relation to Cavalieri’s principle.
- Areas and Volumes

Teacher Resources

Exercises from Illustrative MathematicsA set of 4 exercises, commentary, and solutions

Teacher and Student versions of full lesson from engageNY

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

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

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

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

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