Multiplying Fractions by Whole Numbers
Common Core State Standards:
4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
a. Understand a fraction a/b as a multiple of 1/b.
b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.
c. Solve word problems involving multiplication of fraction by a whole number, e.g., by using visual models and equations to represent the problem.
· Whole number
· Unit fraction
In this unit, students will apply their understanding of adding fractions and extend their understanding by multiplying fractions. Just as students see repeated addition as multiplication students will develop understanding that all fractions are made up of repeated unit fractions (7/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 or 7/5 = 7 x 1/5). Students are expected to use and create visual fraction models to multiply fractions by whole numbers.
Students will build on their understanding of fractions from 3rd grade to make sense of larger fractions when adding, subtracting and equivalence. They are expected to use a variety of models to support their reasoning about numbers.
· Area model
· Number line
· Collection/set models
Video support can be found on The WCPSS Academics YouTube Channel.
o Multiply Fraction by Whole Number 1
o Multiply Fraction by Whole Number 2
Video support can be found on LearnZillion.
o Multiply fractions by whole numbers: using repeated addition
o Multiply fractions by whole numbers: using models
o Represent a fraction as the sum of unit fractions using number line
o Represent a fraction as the sum of the unit fraction using area model
o Estimate products in multiplication of whole numbers and fractions
o Use a number line for multiplication of fractions and whole numbers
o Use a fraction model for multiplication of fractions and whole numbers
o Use repeated addition for multiplication of fractions and whole numbers
Mrs. Ana Rhyne
I teach 4th grade math and science at Weatherstone Elementary School. I graduated from Meredith College with a BA in Spanish and K-6 licensure.