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Proportional Relationships

By Platform Administrator · Submitted Sep 30, 2026

Content Area
Mathematics
Grade
7

You are a 7th grade student who completed Unit 2 in the 7th grade Illustrative Math (IM) program, and you would like to suggest a more interesting proportional relationship example for the unit. You have decided to contact Imagine Learning, the company that publishes the IM program, to ask them to include a situation that you find more interesting in the new update of the program. Identify the proportional relationship you would like to see in the program, and explain why it is interesting to you. Also, represent it in a real-world context, a table, a graph, and an equation as it is done in the IM unit.

MA Standards

7.RP.A.2
Recognize and represent proportional relationships between quantities.
7.RP.A.2.a
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
7.RP.A.2.b
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
7.RP.A.2.c
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
7.RP.A.2.d
Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

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