Access Point #: MAFS.5.NF.2.AP.5a (Archived Access Point)


This document was generated on CPALMS - www.cpalms.org



Determine whether the product will increase or decrease based on the multiple using visual fraction models.

Clarifications:

Essential Understandings

Concrete:

  • Use fraction manipulatives and begin with single groups of a number (e.g., 1 × 5, 1 × 6, 1 × 7) to show the product will remain the same.
  • Use fraction manipulatives to model groups of numbers greater than 1 (e.g., 2 × 5, 3 × 6, 4 × 7) to show the product will increase.
  • Use fraction manipulatives to model groups of a numbers less than 1 (e.g., 1/2 × 6, 1/2 × 4) to show the product will decrease.
Representation:
  • Recognize when a number is multiplied by a number less than one (e.g., 1/2, 3/4, 5/6, 0) the product will decrease.
  • Recognize when a number is multiplied by a number greater than one, the product will increase.
  • Understand the following vocabulary: product, increase, decrease, and fraction.

Number: MAFS.5.NF.2.AP.5a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide 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

Name Description
MAFS.5.NF.2.5: Interpret multiplication as scaling (resizing), by:
  1. Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
  2. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.



Related Courses

Name Description
5012070: Grade Five Mathematics
7712060: Access Mathematics Grade 5
5012065: Grade 4 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5