Wyoming Math 6.RP.3d

Math6th GradeRatios and Proportional Relationships

The Standard

Use ratio and rate reasoning to solve real-world and mathematical problems. Use ratio reasoning to convert measurement units; convert units appropriately when multiplying or dividing quantities.

2023 Wyoming Mathematics Content and Performance Standards · Understand ratio concepts and use ratio reasoning to solve problems.

Teacher's field guide

What This Standard Means

What Students Need to Do: Students change measurements using known unit relationships, including rates such as miles per hour. They keep track of units when multiplying or dividing and check whether the answer makes sense.
What Mastery Looks Like: Given 4 yards of ribbon at $2 per foot, a student converts 4 yards to 12 feet and finds a $24 cost. They show how feet cancel when multiplying feet by dollars per foot.
Common Misconceptions: Students may multiply by 3 to change feet to yards, rather than divide. They may multiply by 60 to change feet per hour to feet per minute. Some drop the units and miss an answer with the wrong size.
How to Assess It: Exit ticket: A runner covers 2 miles in 30 minutes. Find the speed in feet per minute, and show how you changed the units.

Lesson moves

Ways to Teach It

Tape a 12-foot line on the floor; pairs measure it with yardsticks and record its length in feet and yards.
Ask: How does 60 miles per hour compare with 1 mile per minute? Show the conversion that supports your claim.
Match cards showing 30 miles per hour, 0.5 miles per minute, and 2,640 feet per minute; require a calculation for each match.
Use grocery prices: compare 2 pounds of rice for $4 with 16 ounces for $2.50 by calculating each price per ounce.

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