Glenda Lappan, James T. Fey, William M. Fitzgerald, Susan N. Friel, Elizabeth Difanis Phillips, "Filling and Wrapping: Three-Dinemsional Measurement"
2006 | pages: 138 | ISBN: 0131656449 | PDF | 7,4 mb
In Filling and Wrapping, we will explore surface area and volume of objects, especially rectangular prisms, cylinders, cones, and spheres. The unit should help students to
•Understand volume as a measure of fillingan object and surface area as a measure of wrappingan object
•Design and use nets to visualize and calculate surface areas of prisms and cylinders
•Explore patterns among the volumes of cylinders, cones, and spheres
•Develop strategies for finding the volumes of square pyramids, prisms, cylinders, cones, and spheres directly and by comparison with known volumes
•Understand that three-dimensional figures may have the same volume but quite different surface areas
•Understand how changes in one or more dimensions of a rectangular prism or cylinder affects the prism’s volume and surface area
•Extend students’ understanding of similarity and scale factors to three-dimensional figures
•Use surface area and volume to solve a variety of real-world problems
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