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Identify the Constant of Proportionality

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Identify the Constant of Proportionality

TEKS Math: 8.5.E

(E) Solve problems involving direct variation

AU Math: ACMNA208

(Y9) Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208)

CCSS Math: 7.RP.2.B

7.RP.2.B Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

This algebra and functions lesson focuses on solving problems involving direct variation. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the question and identify which two quantities have a direct variation. Then, they set up the direct variation equation, y=kx, and solve for the constant of variation, k, by substituting the known quantities. Finally, they write and circle the direct variation equation and use it to solve for the unknown quantity. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.

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Standard Alignments:

TEKS Math: 8.5.E

(E) Solve problems involving direct variation

AU Math: ACMNA208

(Y9) Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208)

CCSS Math: 7.RP.2.B

7.RP.2.B Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.


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