Lesson plan

Use number lines to estimate sums and differences in problems involving mixed numbers with unlike denominators

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: Rounding mixed numbers to the nearest whole number enables us to make estimations to check our answers for reasonableness. This lesson builds on students' work with estimating and mixed numbers. This task asks students to determine the shortest route for Coronado to take to Cibola. Students need to estimate the distance for three different routes to Cibola and then find the exact distance by adding mixed numbers with unlike denominators using number lines. The mathematical concept in this lesson builds toward future work solving problems involving ratio and rate, and prepares students for work with greatest common factors and least common multiples in 6th grade algebra. Vocabulary: number lines, numerator, unlike and like denominator, rounding, mixed numbers, improper fractions, Cibola-Seven Cities of Gold, conquistadors Special Materials: colored pencils (optional)