Multiplying Fractions by Whole Numbers
3/16/2015
Unit Name:
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. Essential Vocabulary: · · Reason · Denominator · Numerator · Decomposing · Whole number Operations · Fraction · Unit fraction · Multiple/multiply · Equivalent · factor Unit Overview: 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. Strategies/Skills: 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: Video support can be found on The WCPSS Academics YouTube Channel. · http://tinyurl.com/WCPSSAcademicsYouTube o Multiply Fraction by Whole Number 1 o Multiply Fraction by Whole Number 2 Video support can be found on LearnZillion. · http://learnzillion.com o Multiply fractions by whole numbers: using repeated addition https://learnzillion.com/student/lessons/122-multiply-fractions-by-whole-numbers-using-repeated-addition o Multiply fractions by whole numbers: using models https://learnzillion.com/student/lessons/126-multiply-fractions-by-whole-numbers-using-models o Represent a fraction as the sum of unit fractions using number line https://learnzillion.com/student/lessons/2971-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 https://learnzillion.com/student/lessons/3026-represent-a-fraction-as-the-sum-of-unit-fractions-using-an-area-model o Estimate products in multiplication of whole numbers and fractions https://learnzillion.com/student/lessons/2927-estimate-products-in-multiplication-of-whole-numbers-and-fractions o Use a number line for multiplication of fractions and whole numbers https://learnzillion.com/student/lessons/2938-use-a-number-line-for-multiplication-of-fractions-and-whole-numbers o Use a fraction model for multiplication of fractions and whole numbers https://learnzillion.com/student/lessons/2939-use-a-fraction-model-for-multiplication-of-fractions-and-whole-numbers o Use repeated addition for multiplication of fractions and whole numbers https://learnzillion.com/student/lessons/3076-use-repeated-addition-for-multiplication-of-fractions-and-whole-numbers
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Mrs. Ana RhyneI teach 4th grade math and science at Weatherstone Elementary School. I graduated from Meredith College with a BA in Spanish and K-6 licensure. Archives
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