Grade 7 Mathematics Module 6, Topic D, Overview

Studying for Test

Similar to Topic A, the subjects of area, surface area, and volume in Topics D and E are not new to students, but provide opportunities for students to expand their knowledge by working with challenging applications.  In Grade 6, students verified that the volume of a right rectangular prism is the same whether it is found by packing it with unit cubes or by multiplying the edge lengths of the prism (6.G.A.2).  In Grade 7, the volume formula V = bh, where b represents the area of the base, will be tested on a set of three-dimensional figures that extends beyond right rectangular prisms to right prisms in general.  In Grade 6, students practiced composing and decomposing two-dimensional shapes into shapes they could work with to determine area (6.G.A.1).  Now, they learn to apply this skill to volume as well.  The most challenging problems in these topics are not pure area or pure volume questions, but problems that incorporate a broader mathematical knowledge such as rates, ratios, and unit conversion.  It is this use of multiple skills and contexts that distinguishes real-world problems from purely mathematical ones (7.G.B.6).

Downloadable Resources

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Common Core Learning Standards

CCLS State Standard
7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and...

Curriculum Map