NY Next Generation Math NY-7.RP.1

Math7th GradeAnalyze proportional relationships and use them to solve real-world and mathematical problems.

The Standard

Compute unit rates associated with ratios of fractions.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students divide one fractional quantity by another to find an amount per one unit. They identify what the resulting unit rate measures and label it correctly.
What Mastery Looks Like: A student finds that 3/4 mile in 1/2 hour is 3/2 miles per hour. The student can explain why dividing by 1/2 doubles the amount.
Common Misconceptions: Students may reverse the two quantities, invert the wrong fraction, or omit the unit. They may also treat the distance traveled in 1/2 hour as the distance traveled in one hour.
How to Assess It: A cyclist travels 2 1/4 miles in 3/4 hour. Ask students to find the miles per hour and show how the units guide the division.

Lesson moves

Mark 3/4 meter of tape and time a 1/2-minute walk, then calculate meters per minute from the two measurements.
Ask, "Why is 3/4 divided by 1/2 greater than 3/4?"
Match ratio cards such as 2/3 cup in 1/4 batch with their unit-rate cards, then justify each match.
Compare prices for fractional-pound packages and calculate each item's cost per pound.

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$Preview of the NY-7.RP.1 printable worksheet$

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