Students use ratio and rate reasoning to convert measurement units within the same system and across systems (e.g., miles to kilometers, cups to gallons). They set up conversion ratios and use dimensional analysis or ratio tables to carry out the conversion.
Real questions from this skill, graded here. No account, and nothing is saved.
Convert Measurement Units Using Ratios
Grade 6 · Ratios and Rates · question 1 of 3
0 of 20
20 rungs. A star at the top.
2 : 1 = : 8
0:00 of 3:30
A conversion factor is a ratio of equal amounts.
Set it so the unit you drop sits on the bottom.
3 adults for every 8 children. The table keeps that ratio in every column: 6 to 16, 9 to 24, 12 to 32. Each column is 3 : 8 times a number.
Every column is the first column times a number, so each one keeps the ratio 3 : 8.
Multiplying both terms by 4 makes 4 groups of 3 adults and 8 children: 12 adults, 32 children.
Dividing both terms by the same number works the other way: 12 : 32 = 3 : 8.
Equal ratios multiply or divide both terms by the same number; they never add the same number.
Adding 9 to both terms and writing 3 : 8 = 12 : 17.
12 is 3 × 4, so the other term is 8 × 4 = 32: 3 : 8 = 12 : 32.
3 meters : ___ centimeters — 300. 1 : 100 is the ratio of meters to centimeters, so 3 meters is 3 × 100 = 300 centimeters.
A ribbon is four yards long. How many feet is that?
We know one yard equals three feet. That's our conversion ratio.
Let's build a ratio table — yards on top, feet on the bottom.
One yard is three feet.
Two yards is six feet — we add three more.
Three yards is nine feet.
And four yards is twelve feet!
See the pattern? Every yard is three feet, so we multiply by three.
The ribbon is twelve feet long. Nice work!
While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.
A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.
An example student.
Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.
An example week.
14 days of every skill, practice packets, Fluency sheets and up to four students. No card.