NF.2.4.b

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

a. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

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Formative Assessments
Formative Assessments
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Students use a visual fraction model to explain how many one sixths are in thirteen sixths and record their work with an equation.
Fractions and Multiples
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Students are asked to multiply an improper fraction by a whole number to solve a word problem and use a visual model or equation to represent the problem.
Training For a Race
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Students are asked to multiply a fraction by a whole number and to represent the product with a visual fraction model.
How Many One Fourths?
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Students are asked to multiply a fraction by a whole number to solve a word problem and to represent the product with a visual fraction model.
How Much Sugar?
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions.
Fraction Quiz
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CPALMS: This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents.
Ice Ice Maybe: An Operations Estimation Game
Assessment Questions
Assessment Questions
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Equation Editor
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Videos of Expert Instruction
Use Real Link and Title
Use Real Link and Title
Use Real Link and Title
Hook/Performance Tasks
Hook/Performance Tasks
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This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number.
IM:  Sugar in Six Cans of Soda
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This task can be used at the beginning of a fourth grade unit on multiplication with fractions to evaluate what students know about multiplication.
IM: Extending Multiplication from Whole Numbers to Fractions