Lesson plan

Solve design problems by applying geometric methods

teaches Common Core State Standards CCSS.Math.Content.HSG-GMD.A.3 http://corestandards.org/Math/Content/HSG/GMD/A/3
teaches Common Core State Standards CCSS.Math.Content.HSG-MG.A.3 http://corestandards.org/Math/Content/HSG/MG/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Volume is the amount of space inside an object. Complex situations can be modeled by using known shapes. This task builds upon work students did earlier with such standards as 8.G.C.9 where students used volume formulas to solve problems. Students are asked to design a container for shipping a softball that will minimize shipping costs that are based on volume. Many rich mathematical discussions can occur relating volume and surface area as students compare their sketches to try to find the best one. Non-mathematical reasons for shapes of containers should also be discussed. Vocabulary: volume, sphere, cylinder, rectangular prism, radius, height, base, minimize, surface area Special Materials: graph paper (optional for sketches) calculator