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)
Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Ratios & Proportional Relationships
Cluster: Level 2: Basic Application of Skills & Concepts
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.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes


Examples of Opportunities for In-Depth Focus

When students work toward meeting this standard, they use a range of reasoning and representations to analyze proportional relationships.


  • Item Type(s): This benchmark may be assessed using: MC , EE item(s)

  • Assessment Limits :
    Rates can be expressed as fractions, with “:” or with words. Items may involve mixed units within each system (e.g. convert hours/min to seconds). Percent found as a rate per 100. Quadrant I only for MAFS.6.RP.1.3a.
  • Calculator :


  • Context :



  • Test Item #: Sample Item 1
  • Question: Tom knows that in his school 10 out of every 85 students are left-handed. There are 391 students in Tom’s school. 

    How many students in Tom’s school are left-handed?

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 2
  • Question: The standard length of film on a film reel is 300 meters. On the first day of shooting a movie, a director uses 30% of the film on one reel. 

    How long is the strip of film that was used?

  • Difficulty: N/A
  • Type: EE: Equation Editor