Standards Map

Mathematics > Grade 6 > Ratios and Proportional Relationships
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Mathematics | Grade : 6

Domain - Ratios and Proportional Relationships

Cluster - Understand ratio and rate concepts and use ratio and rate reasoning to solve problems.

[6.RP.A.2] - Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship, including the use of units. For example: This recipe has a ratio of three cups of flour to four cups of sugar, so there is ¾ cup of flour for each cup of sugar; We paid $75 for 15 hamburgers, which is a rate of five dollars per hamburger. Expectations for unit rates in this grade are limited to non-complex fractions.

Resources:


  • Ratio
    A relationship between quantities such that for every a units of one quantity there are b units of the other. A ratio is often denoted by a:b and read “a to b”.

Predecessor Standards:

  • 5.NF.B.7
    Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. [Note: Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.]

Successor Standards:

  • 7.RP.A.1
    Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks ½ mile in each ¼ hour, compute the unit rate as the complex fraction ½/¼ miles per hour, equivalently 2 miles per hour.
  • 7.RP.A.2
    Recognize and represent proportional relationships between quantities.

Same Level Standards:

  • 6.RP.A.1
    Understand the concept of a ratio including the distinctions between part:part and part:whole and the value of a ratio; part/part and part/whole. Use ratio language to describe a ratio relationship between two quantities. For example: The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every two wings there was one beak; For every vote candidate A received, candidate C received nearly three votes, meaning that candidate C received three out of every four votes or ¾ of all votes.
  • 6.RP.A.3.b
    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.
  • 6.RP.A.3.c
    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.
  • 6.RP.A.3.d
    Use ratio reasoning to convert measurement units within and between measurement systems; manipulate and transform units appropriately when multiplying or dividing quantities. For example, Malik is making a recipe, but he cannot find his measuring cups! He has, however, found a tablespoon. His cookbook says that 1 cup = 16 tablespoons. Explain how he could use the tablespoon to measure out the following ingredients: two cups of flour, ½ cup sunflower seed, and 1¼ cup of oatmeal. Example is from the Illustrative Mathematics Project: https://www.illustrativemathematics.org/content-standards/tasks/2174
  • 6.PS.4.1
    Use diagrams of a simple wave to explain that (a) a wave has a repeating pattern with a specific amplitude, frequency, and wavelength, and (b) the amplitude of a wave is related to the energy of the wave. State Assessment Boundaries: Electromagnetic waves are not expected in state assessment. State assessment will be limited to standard repeating waves.
  • 6.ETS.1.5
    Create visual representations of solutions to a design problem. Accurately interpret and apply scale and proportion to visual representations.* Clarification Statements: Examples of visual representations can include sketches, scaled drawings, and orthographic projections. Examples of scale can include ¼" = 1'0" and 1 cm = 1 m.