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Lesson Plan

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

teaches Common Core State Standards CCSS.Math.Practice.MP1
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.4a
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.4c
teaches Common Core State Standards CCSS.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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Multiplying fractions by whole numbers

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