# 10. Understand comparing ratios using percent (C)

teaches Common Core State Standards CCSS.Math.Content.6.RP.A.3c http://corestandards.org/Math/Content/6/RP/A/3/c
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Understand that percent means standardizing ratios as a comparison to 100.

Students bring prior knowledge of ratios from 6.RP.1. This prior knowledge is extended to percent as students use a double number line to compare ratios by using percent. A conceptual challenge students may encounter is converting the ratios to a value per 100.

The concept is developed through work with a double number line, which compares a ratio to a value per 100.

This work helps students deepen their understanding of number because percent compares one number with 100.

Students engage in Mathematical Practice #7: Students look for and make use of structure as they interpret percent as a rate per 100 and examine the relationship among values.

Key vocabulary:

• equivalent ratio
• percent

Special materials needed:

• graph paper
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