Lesson plan

9. Apply multiplication of fractions to find area (A)

teaches Common Core State Standards CCSS.Math.Content.5.NF.B.4b http://corestandards.org/Math/Content/5/NF/B/4/b
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Apply multiplication of two fractions using an area model.

This lesson provides an opportunity for students to apply their knowledge and understanding of multiplying two fractions to find the area to a real-life situation. Students are asked to find the remaining unpainted area on a wall where fractions of the wall have already been painted.

Key Concept students will use: 

  • The area of a figure is invariant, regardless of the method used to find it.

Skills students will use:

  • multiplication of fractions 
  • addition and subtraction of fractions (Grade 5, Unit 3)

Students engage in Mathematical Practice 3 (construct viable arguments and critique the reasoning of others) as they reason about the remaining area on the wall and report their findings.  Students also engage in Mathematical Practice 6 (attend to precision) as they determine the precise are of the wall still available to paint.

Key vocabulary: 

  • area: the measure of the amount of surface inside a closed boundary of a two-dimensional shape
  • length: the distance between two points
  • side: one of the lines that make up a two-dimensional shape