Lesson plan

Add mixed numbers with unlike denominators by using area models

teaches Common Core State Standards CCSS.Math.Content.5.NF.A.1 http://corestandards.org/Math/Content/5/NF/A/1
teaches Common Core State Standards CCSS.Math.Content.5.NF.A.2 http://corestandards.org/Math/Content/5/NF/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Because fractions are representations of equal parts, they can only be added or subtracted when those parts are of the same size or value. This lesson builds on students' work adding mixed numbers with like denominators. This task asks students to help Brenda determine the distance of events in a mini-triathlon. Students add mixed number with unlike denominators to find the sum of two events and the total distance of the mini-triathlon. The mathematical concepts in this lesson build toward future use in solving ratio, rate, and proportion problems. The task prepares students for the introduction of greatest common factors and least common multiples in 6th grade algebra. Vocabulary: area model, numerator, unlike and like denominator, mixed number, improper fraction, mile Special Materials: colored pencils (optional)