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Lesson Plan

Make predictions about products based on whether the scaling factor is greater than, less than, or equal to one

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.MP2 http://corestandards.org/Math/Practice/MP2
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Big Ideas: We can compare the size of a product to the size of one of its factors without performing the multiplication by applying the rules that we learned through our visual modeling. Multiplication can result in a product that is greater than, less than, or equal to its factors. Multiplying by a fraction with a value that is less than 1 results in a product that is smaller than the other factor. Multiplying by a factor whose value is greater than 1 results in a product that is greater than the other factor. Multiplying by a factor whose value is equal to 1 results in a product that is equal to the other factor. In this lesson, students continue working with multiplication of whole numbers and fractions. Students are asked to compare the size of the product of a whole number and a fraction based on the size of the scaling factor (fraction). Students generalize and apply the rules they learned from creating visual models to make these comparisons without completing the multiplication. The task uses a science fair scenario in which students are comparing plant growth. The mathematical concepts in this lesson build toward students' future work with multiplication of fractions, scaling and proportional reasoning. Vocabulary: factors, products, scaling factor
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