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Compute Unit Rates with Fractions

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Compute Unit Rates with Fractions

TEKS Math: 7.4.B

(B) Calculate unit rates from rates in mathematical and real-world problems

AU Math: ACMNA188

(Y8) Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

CCSS Math: 7.RP.1

7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

This ratios and proportional relationships lesson covers how to compute unit rates (complex fraction ratios). The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students create an equivalent ratio table using given units and quantities. They identify the unit quantity, determine the multiplicative inverse which produces one, and then apply the multiplicative inverse to the other quantity. Finally, they interpret the unit rate.

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Standard Alignments:

TEKS Math: 7.4.B

(B) Calculate unit rates from rates in mathematical and real-world problems

AU Math: ACMNA188

(Y8) Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

CCSS Math: 7.RP.1

7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.


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