# 10. Use fractional distances to complete one mile (A)

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

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Lesson objective: Apply the skill of using number lines to show a fraction's distance from zero.

This lesson provides an opportunity for students to apply their knowledge and understanding of fractions as numbers that name a distance from zero to a real-life situation. Students are asked to construct number lines to model how far students ran over a number of days and compare and contrast the distances travelled.

Key Concept students will use:

• Fractions live on the number line denoting a distance from 0, just as whole numbers do.

Skills students will use:

• Partitioning number lines into sixths, eighths and fourths
• Combing unit fractions to create new fractions
• Using number lines to show a fractional distance travelled

Students engage in Mathematical Practice 4 (model with mathematics) as they partition number lines to show how far students ran over multiple days

Key vocabulary:

• denominator
• distance
• fraction
• numerator
•  whole
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