Access Point #: MAFS.7.RP.1.AP.3a (Archived Access Point)


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Solve word problems involving ratios.

Clarifications:

Essential Understandings

Concrete:

  • Given a scenario, find the two quantities in a ratio (e.g., Bill has traveled 460 miles on 10 gallons of gas. Miles and gallons of gas).
  • Relate the placement of numbers in a ratio to the given context (the meaning of 460:1, 460 equals miles, 10 equals a gallon of gas).
  • Use a table with visuals or objects to represent proportions to solve a ratio problem.

    Table with two columns labeled with Legs of a chair and People. Data is listed for Legs of a chair with 4, 8, and 12 and People with 1, 2, and 3 respectively.
Representation:
  • Locate relevant information within a word problem.
  • Make sense of a word problem to create a proportion.
  • Understand the following concepts and vocabulary: ratio, proportion, and rate.

Number: MAFS.7.RP.1.AP.3a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. (Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.7.RP.1.3: Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.



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