Lesson plan

Compare speeds using unit rates

teaches Common Core State Standards CCSS.Math.Content.6.RP.A.3 http://corestandards.org/Math/Content/6/RP/A/3
teaches Common Core State Standards CCSS.Math.Content.6.RP.A.3b http://corestandards.org/Math/Content/6/RP/A/3/b
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
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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Big Ideas: A unit rate is a rate where the second quantity is 1. Unit rates make it easy to make comparisons between two different rates. Double number lines are an effective tool for finding unit rates and comparing rates. This lesson builds on students' understanding of equivalent ratios. In this task, students work with finding equivalent rates of speed by helping three students who are decorating cookies for a bake sale resolve the question, who decorates cookies the fastest? By using double number lines, they will establish a unit rate of decorating speed for each cookie decorator and compare these unit rates. This lesson builds towards a solid understanding of uses for unit rates, and leads towards proportional reasoning that students will develop in grades 7 and 8. Vocabulary: Ratio, rate, unit rate, double number line, table Special Materials: Pattern blocks (optional) Counters (optional) Unifix cubes (optional)