Lesson plan

Decompose a fraction into a sum of fractions using tape diagrams

teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3 http://corestandards.org/Math/Content/4/NF/B/3
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3b http://corestandards.org/Math/Content/4/NF/B/3/b

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Big Ideas: Any whole number, mixed number, or fraction can be decomposed into the sum of unit fractions. Fractions can be composed or decomposed into unit fractions with like denominators This lesson builds on fractions along with visual fraction models to represent equal parts of a whole. This task uses a highway construction context to highlight decomposition of fractions and number sentences. Students explore fraction equivalence through the decomposition of non-unit and unit fractions. Students decompose fractions using tape diagrams to represent them as sums of fractions with the same denominator in different ways. By leaving the task open ended, students reason why there are different possibilities for the fraction completed by the day and night construction crews. The mathematics in this lesson build toward students' future work creating visual models to show the addition and subtraction of fractions and mixed numbers with like denominators. Vocabulary unit fraction composing fractions decomposing fractions tape diagram numerator denominator equal parts Special Materials: Students should have access to the following materials for this lesson: strips of paper (optional) colored pencils (optional)