Lesson plan

6. Side lengths of scale drawings are proportional (A)

teaches Common Core State Standards CCSS.Math.Content.7.G.A.1 http://corestandards.org/Math/Content/7/G/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
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Lesson objective: Apply scale factors to find the perimeters of actual buildings given a sketch of the buildings.

This lesson provides an opportunity for students to apply their knowledge and understanding of scaled perimeters to a real-life situation. Students are asked to determine the distance walked by a night watchman given a blueprint of the buildings he guards.

Key Concept students will use: 

  • Lengths of sides of pairs of scale drawings are proportional, resulting in proportional perimeters.

Skills students will use:

  • Scale dimensions relate to the original by a scale factor. (Grade 7, Unit 1)
  • Multiplication can scale up or down (Grade 5, Unit 7)
  • Dividing fractions (Grade 6, Unit 4)

Students engage in Mathematical Practice 6 (attend to precision) as they convert between inches and feet.  And they also engage in Mathematical Practice 4 (Model with mathematics) as they calculate the distance in feet a night watchman walks while moving around the perimeter of buildings by studying a scale drawing of the buildings and using their knowledge of scale factors.

Key vocabulary: 

  • original figure
  • proportional
  • scale drawing
  • scale factor