Lesson plan

Decompose mixed numbers into a sum of fractions using tape diagrams

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.3b http://corestandards.org/Math/Content/4/NF/B/3/b
Quick assign

You have saved this lesson plan!

Here's where you can access your saved items.

Content placeholder

or to view additional materials

You'll gain access to interventions, extensions, task implementation guides, and more for this lesson plan.

Big Ideas: Any whole number, mixed number, or fraction can be decomposed into the sum of unit fractions. Fractions can be composed or decomposed with like denominators in more than one way. This lesson builds on fractions along with visual fraction models to represent mixed numbers and improper fractions. This task uses a 5K run context to highlight decomposition of mixed numbers. Students explore fraction equivalence through the decomposition of non-unit and unit fractions. Students decompose mixed numbers 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 where the runner's parents might be during the race. 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 numerator denominator equal parts improper fractions