Access Point #: MAFS.5.NF.1.AP.1aArchived Access Point

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Add and subtract fractions with like denominators with sums greater than 1 represented by mixed numbers using visual fraction models.
Clarifications:

Essential Understandings

Concrete:

  • 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., 3/4 + 2/4 = 5/4).
  • To subtract, use fraction manipulatives (each piece may be labeled with the corresponding unit fraction) to model the first number in the expression and remove manipulatives that represent the fraction being subtracted (e.g., 5/4 - 2/4 = 3/4).
Representation:
  • 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.
  • Understand the following vocabulary: fraction, numerator, denominator, fraction greater than one, mixed number.
General Information
Number: MAFS.5.NF.1.AP.1a
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

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
5012070: Grade Five Mathematics
7712060: Access Mathematics Grade 5
5020120: STEM Lab Grade 5
5012065: Grade 4 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5

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