In this Grade 7 enVision Mathematics lesson from Chapter 2, students learn how to determine whether a relationship between two quantities is proportional or additive and apply that reasoning to solve real-world problems. Using ratio tables, equations, and diagrams, students practice identifying constant multiples, writing proportional equations, and recognizing when proportional reasoning does not apply. The lesson builds fluency with proportional relationships using contexts such as card collections, subscription billing, and flower arrangements.
Section 1
Common Error: Adding the Same Number to Both Terms
Ratios represent a multiplicative relationship, not an additive one.
Adding or subtracting the same non-zero number to both terms of a ratio changes the relationship and does not create an equivalent ratio.
Section 2
Solving Ratio Problems with Bar Diagrams
To solve ratio problems using tape (or bar) diagrams:
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Section 1
Common Error: Adding the Same Number to Both Terms
Ratios represent a multiplicative relationship, not an additive one.
Adding or subtracting the same non-zero number to both terms of a ratio changes the relationship and does not create an equivalent ratio.
Section 2
Solving Ratio Problems with Bar Diagrams
To solve ratio problems using tape (or bar) diagrams:
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter