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Lesson Plan

Predict products of whole numbers and fractions using visual models

teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5a http://corestandards.org/Math/Content/5/NF/B/5/a
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8
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Big Ideas: Scaling factors greater than 1 lead to products greater than the original quantity. Scaling factors equal to 1 lead to products equivalent to the original quantity. Scaling factors less than 1 lead to products less than the original quantity. In this lesson, students will create visual models to help them understand what it means to multiply a whole number by a fraction whose value is more than, less than, or equal to one. The task, which involves a frog jumping contest, provides the students with three different scaling factors. The students then attempt to determine which frog jumped the farthest. They will create a visual model for this and use it to find the relative scaled value of the other frog jumps and link it to an expression. The mathematical concepts in this lesson will build toward students' future work with multiplying fractions, scaling and proportional reasoning. Vocabulary: scaling, scaling factor, visual modeling, factors, products
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