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topic B
3 hours

Volume


Description

In Topic B, students apply their knowledge of volume from previous grade levels to the learning of the volume formulas for cones, cylinders, and spheres. First, students are reminded of what they already know about volume. Next, students use what they learned about the area of circles to determine the volume formulas of cones and cylinders. In each case, physical models will be used to explain the formulas, first with a cylinder seen as a stack of circular disks that provide the height of the cylinder.

Students compare the volume of a sphere to its circumscribing cylinder (i.e., the cylinder of dimensions that touches the sphere at points, but does not cut off any part of it). Students learn that the formula for the volume of a sphere is two-thirds the volume of the cylinder that fits tightly around it.

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Prerequisites

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Credits

From EngageNY.org of the New York State Education Department. Grade 8 Mathematics Module 5, Topic B, Overview. Available from engageny.org/resource/grade-8-mathematics-module-5-topic-b-overview; accessed 2015-05-29.
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