Lesson plan

Add and subtract mixed numbers with unlike denominators using the standard algorithm

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

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Big Ideas: Since fractions are representations of equal parts, they can only be added or subtracted when those parts are of the same size or value. We can represent mathematical ideas with words and equations. This lesson builds on students' work with adding and subtracting mixed numbers with like denominators. This task uses a paper airplane-flying contest to have students determine the total distance the paper airplanes flew, who won the contest, and by how many feet. Students need to add and subtract mixed numbers with unlike denominators by using the standard algorithm and writing equations to represent the problem. The mathematical concepts in this lesson build toward future use in solving ratio, rate, and proportion problems, and prepare students for the introduction of greatest common factors and least common multiples in 6th grade algebra. Vocabulary: numerator, unlike and like denominator, algorithm, variable, equation, expression