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

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

Essential Understandings


  • 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.
  • 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.
General Information
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

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

Related Courses

This access point is part of these courses.
5012060: Mathematics - Grade Four
7712050: Access Mathematics Grade 4
5012065: Grade 4 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5

Related Resources

Vetted resources educators can use to teach the concepts and skills in this access point.

Element Cards

4th Grade Math Element Cards:

Element Cards are available to assist in planning for instruction. They are designed to promote understanding of how students move toward the academic standards. Element Cards contain one or more access points, essential understandings, suggested instructional strategies and suggested supports.

Type: Element Cards

Professional Development

Fractions and Decimals Content Module :

Content Modules provide explanations and examples of the concepts contained in the academic standards that may be difficult to teach or unfamiliar to special education teachers. They promote an understanding of the concepts so that a teacher can begin to plan how to teach the concepts to students. Content Modules contain potential adaptations, modifications and ideas for Universal Design for Learning.

Type: Professional Development

Teaching Idea

Curriculum Resource Guide: Fractions and Decimals:

complete file

Type: Teaching Idea

Student Resources

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Parent Resources

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