Access Point #: MAFS.5.NF.1.AP.2a (Archived Access Point)


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Solve word problems involving the addition and subtraction of fractions using visual fraction models.

Clarifications:

Essential Understandings

Concrete:

  • Match the vocabulary in a word problem to an action.
  • Use manipulatives to model the context of the word problem.
  • Count to find the answer.
  • To add, use fraction manipulatives (each piece may be labeled with the corresponding unit fraction) to model each fraction and join them to find the sum (e.g., 1/4 + 2/4 = 3/4).
  • To subtract, use fraction manipulatives (each piece may be labeled with the corresponding unit fraction) to model the first fraction in the expression and remove manipulatives that represent the fraction being subtracted (e.g., 3/4 - 2/4 = 1/4).
    fraction manipulatives
Representation:
  • Create a pictorial representation of the word problem.
  • Use context clues to interpret the concepts, symbols, and vocabulary for addition and subtraction.
  • To add, use a visual representation of a whole divided into equal pieces (each piece may be labeled with the corresponding unit fraction). Shade each unit to represent the fractions in the expression and count the shaded units to find the sum.
  • To subtract, use a visual representation of the first fraction in the expression. Cross out the piece(s) that represent the fraction being subtracted. Count the remaining piece(s) to find the remainder.

Number: MAFS.5.NF.1.AP.2a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Use equivalent fractions as a strategy to add and subtract fractions. (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.5.NF.1.2: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.




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