Lesson plan

Solve problems involving density based on volume by applying conceptual understanding to solve a design problem

teaches Common Core State Standards CCSS.Math.Content.HSG-MG.A.2 http://corestandards.org/Math/Content/HSG/MG/A/2
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.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Density is a measure of the amount of material per a specific unit of area or volume. Real world situations can be modeled with geometric shapes to solve problems. This lesson builds on the work students did using volume formulas to solve problems. Working on this task, students will need to generalize the V=Bh formula and apply their understanding of density to plan to design a solution for a real world application, paving a roadway. The task is open-ended to allow students more opportunity to justify their reasoning with others. Vocabulary: volume, base, height, cubic units, justify Special Materials: calculator graph paper (optional for sketching situation)