NY Next Generation Math NY-6.RP.2
The Standard
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal to zero), and use rate language in the context of a ratio relationship.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret the unit rate a/b for a ratio a:b, where the second quantity is not zero. They use “per” language to explain what the rate means in context.
What Mastery Looks Like
- A student explains that a ratio of 3 cups of flour to 4 cups of sugar gives 3/4 cup of flour per cup of sugar. The student labels both quantities in the unit rate.
Common Misconceptions
- Students may reverse the ratio, report the total of both quantities, or omit the units. They may also try to form a unit rate when the second quantity is zero.
How to Assess It
- A group pays $75 for 15 hamburgers. Ask students to find the unit rate and explain “$5 per hamburger” in the situation.
Lesson moves
Ways to Teach It
Measure 3 cups of rice into four equal containers, then state the amount of rice per container as a unit rate.
Ask students why 12 miles in 3 hours is described as 4 miles per hour rather than 3/12.
Match ratio cards to unit-rate cards and context sentences, checking that every answer includes both units.
Compare grocery packages by calculating price per item, then use the unit rates to choose the lower-cost option.
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Printable NY-6.RP.2 Worksheet
A ready-to-print activity worksheet aligned to NY-6.RP.2, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- NY-6.RP.3.b
Solve unit rate problems.
- NY-7.RP.1
Compute unit rates associated with ratios of fractions.
- NY-6.RP.3.d
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
- NY-6.RP.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
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