![]() ![]() Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. Use this principle to recognize and generate equivalent fractions. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. ![]() Downloads There may be cases when our downloadable resources contain hyperlinks to other websites. In Lesson 5, this idea of decomposition is further investigated as students represent the decomposition of unit fractions in area models. Problem 3: Decompose to create equivalent fractions by drawing an area model and then dividing the area model into smaller parts. topic A topic B - Description Objective: Decompose unit fractions using area models to show equivalence. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).ī. Problem 1: Use an area model to show that 3/4 6/8 Problem 2: Draw an area model to represent the equivalence of two fractions and express the equivalence as the sum and product of unit fractions. 116 Find Equivalent Fractions (4 minutes) Materials: (S) Personal white board Note: This fluency activity reviews Lesson 7. ![]() Understand a fraction a/ b as a multiple of 1/ b. Use the area model and division to show the equivalence of two fractions. They represent these decompositions, and prove equivalence, using visual models. Adding and subtracting fractions with like denominators word problemsįraction word problems with unlike denominatorsĤ.NF.B.4, 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4cĪpply and extend previous understandings of multiplication to multiply a fraction by a whole number.Ī. Students explore fraction equivalence through the decomposition of non-unit fractions into unit fractions, as well as the decomposition of unit fractions into smaller unit fractions. ![]()
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