Access Point #: MAFS.5.NF.2.AP.7a (Archived Access Point)


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



Divide unit fractions by whole numbers and whole numbers by unit fractions using visual fraction models.

Clarifications:

Essential Understandings

Concrete:

  • To show whole numbers divided by unit fractions, use fraction manipulatives to model the wholes. Use a template to guide placement of the unit fractions to illustrate that every whole can be represented in terms of groups of unit fractions (e.g., 3 ÷ 1/2 is 3 wholes divided into 6 groups of 1/2).

    3/(1/2) = ?
  • Count the number of groups to determine the quotient.
Representation:
  • Use visual representations to model whole numbers and groups of unit fractions.
  • Count the number of groups to determine the quotient.

Number: MAFS.5.NF.2.AP.7a Category: Access Points
Date Adopted or Revised: 05/14 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.2.7: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
  1. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
  2. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
  3. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?



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