Convert Rates With Two Unit Changes
Written by Adi Ackerman, Head Teacher
"Convert Rates With Two Unit Changes" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.RP.A.3.D. If your student is a year younger but already steady on ratios, the page still works. You may just need to read the instructions out loud. And if they are older and rates and unit rates never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: convert 3 rates with two unit changes, such as 30 miles per hour to 44 feet per second. Answer key included. Part of our rates and unit rates ratios collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Find the Unit Rate so dividing for 1 unit is familiar before the better buy and comparison pages. Use the unit analysis pages last, and have students write the units with every answer, such as feet per second.
What students will practice
- Students will write two conversion factors so both old units cancel in 3 rates.
- Students will change 2 gallons per minute to 480 quarts per hour.
- Students will round to the nearest tenth, as in 50 kilometers per hour = 13.9 meters per second.
Curriculum Links
Common Core State Standards
Ratios and Proportional Relationships · 6th Grade
Standard: Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
View all 6.RP.A.3.D worksheets →Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this rates and unit rates worksheet?
⌄
Start with Find the Unit Rate so dividing for 1 unit is familiar before the better buy and comparison pages. Use the unit analysis pages last, and have students write the units with every answer, such as feet per second.
What does this worksheet teach?
⌄
Convert 3 rates with two unit changes, such as 30 miles per hour to 44 feet per second. The directions on the page read: Change each rate to the units on its answer line. Use the chart to write two conversion factors so both old units cancel. Show your work in the open space under the factors. Round to the nearest tenth when needed. An answer key is included.
Can I use this rates and unit rates worksheet for homeschool or classroom?
⌄
Yes, both. We made it for 6th Grade ratios, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with rates and unit rates. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you find a unit rate?
⌄
Divide the first quantity by the second. Ava drove 186 miles in 3 hours, so 186 ÷ 3 = 62 miles per hour. A hose that fills a 150-liter tank in 8 minutes flows 18.75 liters per minute.
How do you find the better buy?
⌄
Find the unit price of each package by dividing the price by the number of units, then pick the lower one. Cereal at 12 oz for $3.48 is $0.29 per oz and 18 oz for $4.99 is $0.28 per oz, so the larger box is the better buy.
How do you convert a rate with unit analysis?
⌄
Multiply by a conversion factor written as a fraction so the old unit cancels. 120 feet per minute × (1 minute over 60 seconds) = 2 feet per second.
Why is a percent a rate?
⌄
A percent is a rate per 100. On a hundred grid each square is 1 percent, so 37 shaded squares are 37%, 37/100 or 0.37.
Ratings & Reviews
No reviews yet. Be the first to share what you think.
Reviews are for ClassWeekly members.
Make a Request
Spotted something to fix, or want a worksheet we don't have yet? Tell us and we'll make it.
What is ClassWeekly?
ClassWeekly offers free worksheets and printable learning resources for kids, from preschool up. All worksheets are aligned to Common Core, NGSS, and C3 Framework standards and designed by educators. Become a member to access the full library and download unlimited PDFs.