Access Point #: MAFS.5.NF.2.AP.4a (Archived Access Point)


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



Multiply a fraction by a whole or mixed number using visual fraction models.

Clarifications:

Essential Understandings

Concrete:

  • Place fraction manipulatives in groups as indicated by the whole number in a given multiplication expression (e.g., 2 × 1/3 = 2 groups of 1/3 or 3 × 1/4 = 3 groups of 1/4).
  • Use repeated addition or skip counting to find the product (e.g., 1/3 + 1/3 = 2/3 or 1/4 + 1/4 + 1/4 = 3/4).
Representation:
  • Use a visual representation of a whole divided into equal pieces (each piece may be labeled with the corresponding unit fraction). Shade the number of groups of the fraction (e.g., 3 groups of 1/5) as indicated by the whole number.
  • Use repeated addition or skip counting to find the product (e.g. 1/5 + 1/5 + 1/5 = 3/5).
  • Understand the following vocabulary: numerator, denominator.

Number: MAFS.5.NF.2.AP.4a 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.2.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
  1. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
  2. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.



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