Grade 7 Mathematics Module 4, Topic C, Overview

Studying for Test

Students revisit scale drawings in Topic C to solve problems in which the scale factor is represented by a percent (7.RP.A.2b, 7.G.A.1).  They understand from their work in Module 1, for example, that if they have two drawings where if Drawing 2 is a scale model of Drawing 1 under a scale factor of 80%, then Drawing 1 is also a scale model of Drawing 2, and that scale factor is determined using inverse operations.  Since 80% = 4/5, the scale factor is found by taking the complex fraction (1)/(4/5), or 5/4, and multiplying it by 100%, resulting in a scale factor of 125%.  As in Module 1, students construct scale drawings, finding scale lengths and areas given the actual quantities and the scale factor (and vice-versa); however, in this module the scale factor is represented as a percent.  Students are encouraged to develop multiple methods for making scale drawings.  Students may find the multiplicative relationship between figures; they may also find a multiplicative relationship among lengths within the same figure.

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Common Core Learning Standards

CCLS State Standard
7.RP.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and...
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths...

Curriculum Map