Access Point #: MAFS.4.NF.2.AP.3a (Archived Access Point)


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Using a representation, decompose a fraction into multiple copies of a unit fraction (e.g., 3/4 = 1/4 + 1/4+ 1/4).

Clarifications:

Essential Understandings

Concrete:

  • Using fraction manipulatives, model a whole and then decompose (i.e., divide) it into equal parts to create unit fractions (i.e., fractions where 1 is the numerator). For example: 1 = 1/3 + 1/3 + 1/3 or 1 = 1/4 + 1/4 + 1/4 + 1/4.
  • Using fraction manipulatives, model a non-unit fraction (i.e., a fraction where 1 is not the numerator) and then decompose the fraction into unit fractions. For example: 2/3 = 1/3 + 1/3 or 3/4 = 1/4 + 1/4 + 1/4.
Representation:
  • Understand how parts of a whole can be expressed as fractions using numbers.
  • Understand the following concepts, symbols, and vocabulary: numerator, denominator, fraction, decompose, unit fraction.

Number: MAFS.4.NF.2.AP.3a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Build fractions from unit fractions by applying and extending previous understandings of operations on whole 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.4.NF.2.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
  1. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
  2. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
  3. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
  4. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.



Related Courses

Name Description
5012060: Mathematics - Grade Four
7712050: Access Mathematics Grade 4
5012065: Grade 4 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5