# 7. Create new fractions using unit fractions (A)

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: Apply knowledge that unit fractions can be used to create other fractions and unit fractions tell us about the size of the whole.

This lesson provides an opportunity for students to apply their knowledge and understanding  that unit fractions can be combined to create other fractions and they can be used to tell us about the size of our whole. Students are asked to use a number line to show how far Jacob travelled on a each trail, if he stops at the fourth exercise stop.

Key Concept students will use:

• When a whole is partitioned into b equal sized pieces, each piece is 1/b of the whole. It takes b of these pieces to make the whole. When we take a of those pieces, the result is a/b.

Skills students will use:

• the skill of iterating unit fractions to create a/b fractions and one whole
• the skill of partition a number line into equal sections based off  unit fraction

Students engage in Mathematical Practice 4 (model with mathematics) as they use a number line to model how far Jacob travelled on each trail.

Key vocabulary:

• denominator
• fraction
• numerator

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