Access Point #: MAFS.5.NF.2.AP.3a (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 of the unit fraction to determine the quotient.
Representation:
  • Understand the following concepts and vocabulary: fraction, whole number, divide, ÷.
  • Use visual representations to model whole numbers and groups of unit fractions.
  • Count the number of groups of the unit fraction to determine the quotient.

Number: MAFS.5.NF.2.AP.3a Category: Access Points
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.2.3: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?



Related Courses

Name Description
5012070: Grade Five Mathematics
7712060: Access Mathematics Grade 5
5020120: STEM Lab Grade 5
5012065: Grade 4 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5