# 3. The Virtual Running Club: Multiply unit fractions by whole numbers (A)

teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.4a http://corestandards.org/Math/Content/4/NF/B/4/a
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.4c http://corestandards.org/Math/Content/4/NF/B/4/c
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Apply the ability to write a non-unit fraction as a product of a unit fraction and a whole number in order to solve a real-world problem involving running on tracks.

This lesson provides an opportunity for students to apply their knowledge and understanding of multiplying unit fractions by whole numbers to a real-life situation. Students are asked to determine the length of four tracks of different lengths, given the distance someone has traveled in a certain number of laps. Once students know the length of the track, they determine how many laps are needed in order to run $$\frac34$$mile.

Key Concept students will use:

• A fraction a/b is a multiple of 1/b.

Skills students will use:

• identifying the unit fraction that is a multiple of a non-unit fraction
• identifying the number of unit fractions in a non-unit fraction
• finding equivalent fractions (Grade 4, Unit 5)

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they work to solve a multi-step word problem. Students identify a unit fraction, find an equivalent fraction, and determine how many times to multiply the unit fraction in order to generate the equivalent fraction.

Key vocabulary:

• denominator
• equivalent fraction
• non-unit fraction
• numerator
• unit fraction
• whole number
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