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Lesson Plan

Decompose a mixed number into a sum of fractions by using an area model

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 fractions. Fractions can be composed or decomposed with like denominators in more than one way. Fractions can be modeled as parts of an area or region. This lesson builds on fractions along with visual fraction models to represent equal parts of a whole. This task uses an area model to highlight composition and decomposition of mixed numbers and number sentences. Students explore fraction equivalence through the decomposition of non-unit and unit fractions. Students decompose mixed numbers using area models to represent them as sums of fractions with the same denominator in different ways. Students reason why there are different possibilities for the lifeguard's schedule. 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, mixed number, improper fraction, composing fractions, decomposing fractions, area model, numerator, denominator, equal parts
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