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Lesson plan

Multiply a whole number and a fraction by using a tape diagram

teaches Common Core State Standards MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards 4.NF.B.4.b http://corestandards.org/Math/Content/4/NF/B/4/b

Multiply a whole number and a fraction by using a tape diagram

Big Ideas: We can apply the associative property when multiplying fractions in the same way we apply it when multiplying whole numbers. 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 understanding of what multiplication means with whole numbers. For example, they will use a tape diagram to think of 5 times two-thirds not only as 5 groups of two-thirds, but as the result of an amount (5 x 2) ÷ 3. Exploring this relationship will help students realize the application of the associative property. Vocabulary: repeated addition, multiple, equation, factors, product, numerator, denominator, fraction, whole number Special Materials: Cuisenaire rods Grid paper