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


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Calculate a percentage of a quantity as rate per 100 using models (e.g., percent bars or 10 x 10 grids).

Clarifications:

Essential Understandings

Concrete:

  • State a relationship to a quantity out of 100. These will need to be very small concrete numbers (e.g., select three from an object bundle of 100).
Representation:
  • Understand that a fraction is expressed as a percentage by converting it to an equivalent fraction with a denominator of 100.
  • Express a percentage as a fraction (a/100).
  • Understand that hundreds (base ten fractions) and percentages are the same, though the symbolic notation is different.
  • Understand the following concepts, symbols, and vocabulary: ratio, equivalent, percent, percentage.

Number: MAFS.6.RP.1.AP.3d 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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