Series Common Core Challenge: Proportional Relationships

Math.7.RP.A.2

Common core State Standards

  • Math:  Math
  • 7:  Grade 7
  • RP:  Ratios & Proportional Relationships
  • A:  Analyze proportional relationships and use them to solve real-world and mathematical problems
  • 2: 
    Recognize and represent proportional relationships between quantities.
    <br />
    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.


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


    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.
    <br />
    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.

Download Common Core State Standards (PDF 1.2 MB)

Proportional Relationships

Lesson Objective: Represent proportional relationships with equations from tables, graphs, diagrams and verbal descriptions
Grade 7 / Math / Proportions
17 MIN
Math.7.RP.A.2

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Discussion and Supporting Materials

Thought starters

  1. What Core Action indicators does this lesson best exemplify?
  2. How does this lesson develop students’ conceptual understanding of proportional relationships?

4 Comments

  • Private message to E W
Hi Mary Ann, sorry to hear of the problems you're encountering with watching the video. If you'll click the black "Feedback" to the right of your screen and provide us with a detailed description of what's happening, we'd be happy to help you. Thanks!
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  • Private message to Mary Ann Valiente
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  • Private message to Kimberli Boyd
Great explanation of the learning pathway understanding this concept represents. I will be transforming this into a movement lesson tomorrow.
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  • Private message to Michelle Townsley
I'm impressed by the thought that went into making a complex idea more comprehensible to the students.
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KIPP S.T.A.R. Charter School
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Joseph Almeida