Lesson plan

Divide a mixed number by a fraction using a visual model

teaches Common Core State Standards CCSS.Math.Content.6.G.A.2 http://corestandards.org/Math/Content/6/G/A/2
teaches Common Core State Standards CCSS.Math.Content.6.NS.A.1 http://corestandards.org/Math/Content/6/NS/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: Division can be used to find the number of equal-sized shares contained in a starting value. Number lines and other visual models can be used to represent and find solutions to fraction division problems. In this lesson, students work with dividing mixed numbers and improper fractions by fractions. Students are given two different division situations: partitive and measurement. Students create a visual model and a matching equation to represent each situation. Students will need to find the quotient for each problem and explain how the visual model represents each equation. Students will also be making sense of the difference between dividing by half and dividing in half. This lesson will lead into student's future work using visual models in situations dividing fractions when there are pieces left over or remainders. Vocabulary: mixed number, improper fraction, quotient, remainder Special Materials: graph paper