Lesson plan

7. Find surface area of three-dimensional figures (A)

teaches Common Core State Standards CCSS.Math.Content.7.G.B.6 http://corestandards.org/Math/Content/7/G/B/6
teaches Common Core State Standards CCSS.Math.Content.7.NS.A.3 http://corestandards.org/Math/Content/7/NS/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Apply knowledge of surface area to create pyramids with limited surface area.

This lesson provides an opportunity for students to apply their knowledge and understanding of surface area to a real-life situation. Students are asked to design two pyramid shaped boxes that use less cardboard than octagonal prism box, while still being large enought to fit a game board.

Key Concept students will use: 

  • Surface area and volume have the same meaning for non-rectangular prisms and pyramids as for rectangular prisms.

Skills students will use:

  • Find the area of polygons by decomposing into triangles and rectangles (Grade 6, Unit 11)
  • Use nets to find surface area (Grade 6, Unit 11)

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they find surface area of a given figure and create a new figure within given constraints.

Key vocabulary: 

  • area
  • face
  • prism
  • pyramid
  • surface area
  • three-dimensional figure
  • two-dimensional figure