Access Point #: MAFS.4.NF.1.AP.2b (Archived Access Point)

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Compare 2 given fractions that have different denominators.


Essential Understandings


  • Given a fraction (with a denominator of 10 or less), model the fraction with manipulatives in a rectangle or circle.
  • Use manipulatives to model another fraction (with a different denominator of 10 or less) in the same whole.
  • Compare the two models to determine if they are greater than, less than, or equal to one another.
  • Locate two given fractions on separate number lines that are divided into equal parts to match each of the denominators.
  • Use the number lines to determine if the fractions are equal, greater than, or less than each other based on their location on the number line (e.g., 3/4 > 1/2).
  • Apply understanding of the symbols of <, >, and = with fractions.
  • Understand the following concepts of comparison, greater than, less than, equal, fraction.

Number: MAFS.4.NF.1.AP.2b Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Extend understanding of fraction equivalence and ordering. (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.1.2: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Related Courses

Name Description
5012060: Mathematics - Grade Four
7712050: Access Mathematics Grade 4
5012055: Grade 3 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5

Related Resources

Element Cards

Name Description
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.

Professional Development

Name Description
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.

Teaching Idea

Name Description
Curriculum Resource Guide: Fractions and Decimals:

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