Access Point #: MAFS.3.NF.1.AP.1c (Archived Access Point)


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Identify the fraction that matches the representation of partitioned rectangles and circles into halves, fourths, thirds, and eighths.

Clarifications:

Essential Understandings

Concrete:

  • Given a model of a shape that has been divided into equal parts (2, 3, 4, or 8 parts), count the total number of equal parts (denominator).
  • Identify the total number of equal parts as the denominator.
  • Given the same model of a shape that has been divided into equal parts (above) with parts covered to represent a fraction, count the number of pieces covered (numerator).
  • Identify the number of pieces covered as the numerator.
Representation:
  • Select a numerical fraction as a representation of the number of pieces of a given size (halves, fourths, thirds, eighths) from an equally divided whole rectangle or circle. For example:
  • 1 half is represented as 1/2
  • 3 fourths is represented as 3/4
  • 2 thirds is represented as 2/3
  • 5 eighths is represented as 5/8
  • Understand the following concepts, symbols, and vocabulary: whole, numerator, denominator, _/_, equal parts.

Number: MAFS.3.NF.1.AP.1c Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Develop understanding of fractions as numbers. (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.3.NF.1.1: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.



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