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Constant of Proportionality (Grade 7)




 
Videos and lessons to help Grade 7 students learn how to recognize and represent proportional relationships between quantities.

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

Common Core: 7.RP.2b

Suggested Learning Targets

  • I can identify a constant relationship of unit rates in tables.
  • I can identify a constant relationship of unit rates in graphs.
  • I can identify a constant relationship of unit rates in equations.
  • I can identify a constant relationship of unit rates in diagrams.
  • I can identify a constant relationship of unit rates in verbal descriptions.
Related Topics:
Common Core for Grade 7, Common Core for Mathematics, More Lessons for Grade 7

Identify the constant of proportionality (unit rate) Lesson 1 of 5 (Common Core 7.RP.2b)
In this lesson you will learn how to identify the constant of proportionality in ratio tables by dividing. How to determine the constant of proportionality in graphs by finding the ratio of y to x. How to write an equation that expresses the relationship between two proportional quantities by finding the constant of proportionality. How to identify the constant of proportionality from a labeled diagram by writing an equation of the form y = mx and solving for m.
Unit Rate Task (CCSS Math 7.RP.2b)
This video covers a task in which students are asked to find a constant of proportionality and use it as a unit rate to find the solution. This task aligns with CCSS Math 7.RP.2b: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.



Finding Constant of Proportionality in a Table
Find the constant (k) in a directly proportional relationship is nearly identical to finding unit rate. Simple division/simplifying will get the job done.
Constant of Proportionality (7th Grade Math)


 
David is making his own strawberry yogurt. In David's mixture, the number of strawberries is proportional to the amount of milk, in cups. David uses 4 cups of milk for every 14 strawberries in his mixture. Which equation represents the relationship between s, the number of strawberries, and m, the number of cups of milk he uses?

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