# 5. Use unit fractions to understand the size of a whole (C)

teaches Common Core State Standards CCSS.Math.Content.3.NF.A.1 http://corestandards.org/Math/Content/3/NF/A/1
teaches Common Core State Standards CCSS.Math.Content.3.NF.A.2 http://corestandards.org/Math/Content/3/NF/A/2
teaches Common Core State Standards CCSS.Math.Content.3.NF.A.2a http://corestandards.org/Math/Content/3/NF/A/2/a
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Lesson objective: Extend students' understanding of unit fractions to using unit fractions to find one whole.

Students bring prior knowledge of a unit fraction from 3.NF.A.1. This prior knowledge is extended to finding one whole from the unit fraction as students iterate the unit fraction to create one whole. A conceptual challenge students may encounter is understanding that fractions represent one number.

The concept is developed through work with a number line, which helps students make the connection that fractions, like any other whole number, can be combined to make different numbers.

This work helps students deepen their understanding of number because using number lines to locate fractions helps to reinforce that fractions are one number and, like other numbers, can be used to compose new numbers.

Students engage in Mathematical Practice 4 (model with mathematics) as they iterate the unit fraction to create a model that represents a whole.

Key vocabulary:

• denominator
• numerator
• unit fraction
• whole
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