Lesson plan

Add and subtract fractions and mixed numbers with like denominators using number lines

teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3a http://corestandards.org/Math/Content/4/NF/B/3/a
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3c http://corestandards.org/Math/Content/4/NF/B/3/c
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3d http://corestandards.org/Math/Content/4/NF/B/3/d
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Big Ideas: The meaning of addition and subtraction are the same for mixed numbers as they are for whole numbers. Mixed numbers lie between whole numbers and can be decomposed into unit fractions and improper fractions. This lesson builds on fractions and mixed numbers using number lines to model addition and subtraction with like denominators. This task uses a rafting trip context to highlight the distances between family members. Students explore decomposition of mixed numbers using a number line to represent adding and subtracting fractions. By leaving the task open ended, students reason why there is more than one solution to the task. The mathematics in this lesson build toward students' future work adding and subtracting fractions and mixed numbers with unlike denominators. Vocabulary: fraction, mixed number, decompose, improper fraction, tick mark, numerator, denominator