Lesson plan

Multiply a whole number and a fraction by using an area model and the distributive property

teaches Common Core State Standards CCSS.Math.Content.4.NF.B.4b http://corestandards.org/Math/Content/4/NF/B/4/b
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
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: We can apply the distributive property when multiplying fractions in the same way we apply it when multiplying whole numbers. There is an analogy between fractions and whole numbers, such that 6 x 1/2 can be thought of as 1/2 +1/2 + 1/2 +1/2 + 1/2 + 1/2 and as (3 × 1/2) + (3 × 1/2). The task in this lesson requires students to interpret the meaning of multiplication beyond whole numbers. Students will see that when multiplying whole numbers by fractions, they can employ their understandings of what multiplication means with whole numbers. For example, they will use an area model to think of 15 × 2/3 not only as 15 groups of 2/3, but as the result of an amount (10 × 2/3) + (5 × 2/3) and as (15 × 1/3) + (15 × 1/3). Exploring this relationship will help students realize the application of the distributive property. Vocabulary: repeated addition, multiple, equation, expression, factors, products, numerator, denominator, fraction, whole number, distributive property Special Materials: Pattern Blocks Tringle Grid Paper