Lesson plan

Understand that rectangles can have the same area but different perimeters by solving real world problems

teaches Common Core State Standards CCSS.Math.Content.3.G.A.1 http://corestandards.org/Math/Content/3/G/A/1
teaches Common Core State Standards CCSS.Math.Content.3.MD.D.8 http://corestandards.org/Math/Content/3/MD/D/8
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: Rectangles can have the same area but different perimeters. Area and perimeter describe a shape's measurement. This lesson builds on developing students' understanding of area, perimeter, and a shape's attributes. This task requires students to describe, analyze, and examine area and perimeter. Students will use strategies to distinguish between area and perimeter of rectangles. The lesson requires students to reason and make sense of the characteristics and relationships between a rectangles' area and perimeter. Students are presented with a dog pen and asked to use strategies to find the smallest perimeter by examining the lengths of the sides and the area provided. This builds toward the ability to apply area and perimeter formulas for rectangles in real-world and mathematical problems. Vocabulary: area, perimeter, square unit, unit, length, width Special Materials: Dot paper or graph paper Inch and centimeter ruler (or measuring tape) Printout of the models used in task Inch tiles, Geoboard (optional)