Lesson plan

Reason with ratios and use standard notation to describe part-to-part and part-to-total ratio relationships

teaches Common Core State Standards CCSS.Math.Content.6.RP.A.1 http://corestandards.org/Math/Content/6/RP/A/1
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.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Big Ideas: Ratios are multiplicative relationships between two or more quantities that are related. Ratios describe a relationship that remains constant as total quantities are increased or decreased. Ratio relationships can be described as part-to-part or part-to-total using standard ratio language and notation (e.g. 2:3, 2 to 3). This lesson is the second part of a foundational introduction to the concept of ratios as a relationship between two or more related quantities. (See Lesson 1.) Students will develop an understanding of ratio reasoning by creating equivalent ratio scenarios of differing quantities through multiplicative reasoning and identify and name part-to-part and part-to-total ratio relationships using ratio language (e.g. 3:2, 3 to 2, "For every 3..., there are 2 ..."). The mathematical concepts in this lesson build toward students' future work in later lessons including: generating ratio tables, solving percentage and unit rate problems, working with proportionality and scale factors, and expressing and graphing linear functions. Vocabulary: for every, part, total, and ratio language including "___:___" and "___ to ____" Special Materials: Counters or other manipulatives