Access Point #: MAFS.6.RP.1.AP.3a (Archived Access Point)


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Use ratios and reasoning to solve real-world mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations).

Clarifications:

Essential Understandings

Concrete:

  • Given a scenario students can use manipulatives to represent the ratio relationship. (e.g., Each person wants 2 eggs and there are 4 people, how many eggs do you need for the whole group?)
  • Use manipulatives to represent data on a line graph (i.e., show the amount of dollars someone has earned over the course of a week).
  • Use data presented in tables or graphs and manipulatives to answer questions about ratios.
Representation:
  • Given a scenario students can create a ratio relationship. (e.g., Each person wants 2 eggs and there are 4 people, how many eggs do you need for the whole group? Answer: 8 eggs: 4 people).
  • Use a line graph to demonstrate real-life data (i.e., average temperatures across months of the year).

Number: MAFS.6.RP.1.AP.3a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Understand ratio concepts and use ratio reasoning to solve 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.6.RP.1.3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

  1. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
  2. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? 
  3. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. 
  4. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
  5. Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
(1See Table 2 Common Multiplication and Division Situations)



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