Lesson plan

Robots, Inc.: Exploring proportional relationships

teaches Common Core State Standards CCSS.Math.Content.7.RP.A.2 http://corestandards.org/Math/Content/7/RP/A/2
teaches Common Core State Standards CCSS.Math.Content.7.RP.A.2a http://corestandards.org/Math/Content/7/RP/A/2/a
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2

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This lesson builds on students’ work with ratio tables and calculating unit rate. The task requires students to decide whether two quantities are in a proportional relationship by finding and recognizing equivalent unit rates in tables and graphs. An employee has recorded some information in a table, but forgot to record whether customers ordered widgets or sprockets. Students will use unit rate to determine which items were ordered, and will gain an understanding that two ratios with the same associated unit rate are in a proportional relationship. The mathematical concepts in this task build toward students’ future work with a constant of proportionality. Big Ideas: In a proportion, the ratio of two quantities remains constant as the corresponding values of the quantities change. NOTE: This lesson introduces the idea of comparing quantities by comparing the price of one of each type of item. Students are not expected to learn the procedure for finding unit rate until the next lesson. This lesson establishes the idea of a possible comparison using either multiplication or division, but does not requiring fluency in calculating unit rate. Students will engage in Mathematical Practice 2: Reason abstractly and quantitatively. Through their work on the task students will need to reason with the given data, understanding that the cost for each order can be derived from the number of items ordered (which varies) and the price of one of each item (which remains constant). Vocabulary: proportional relationship, unit rate Special Materials: calculators (optional)