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**).

## Grade 7 Mathematics Module 6, Topic D, Overview

## Downloadable Resources

## 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... |