Students convert between units of liquid capacity (e.g., cups, pints, quarts, gallons; milliliters and liters) within the same system. They practice applying conversion factors accurately.
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Grade 5 · Measurement Conversions · question 1 of 3
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What is the jug's reading in liters?
Read the jug.
How it is taught
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Capacity can be renamed with a smaller or larger liquid unit.
Liters and milliliters stay in the same metric family.
Read it: Find the factor, then convert
1 gallon is 4 quarts, so 2 gallons are 8 quarts and 3 gallons are 12 quarts. The quarts row is the gallons row times 4: 6 gallons are 6 × 4 = 24 quarts.
Find the factor: how many quarts make 1 gallon. Here it is 4.
From a big unit to a small one there are more of them, so multiply by the factor.
From a small unit to a big one there are fewer, so divide: 24 quarts ÷ 4 = 6 gallons.
A gallon holds more than a quart, so it takes 4 quarts to hold as much as 1 gallon.
Each gallon more adds 4 quarts more, so every column of the table is times 4.
Two steps work the same way: 1 gallon is 4 quarts and 1 quart is 4 cups, so 1 gallon is 4 × 4 = 16 cups.
To change to the smaller unit, multiply by the factor; to change to the bigger unit, divide by it.
Adding the factor instead of multiplying, and saying 2 gallons are 2 + 4 = 6 quarts.
Every gallon is 4 quarts, so 2 gallons are 2 × 4 = 8 quarts.
17 quarts = ___ pints — 34. Every quart is 2 pints, so 17 of them is 17 times 2: 34.
3 gallons = ? quarts
Let's convert capacity units. We have three gallons of juice — how many quarts is that?
First, remember the key fact: one gallon equals four quarts.
Picture one gallon split into four equal quart jugs.
We have three gallons, so we multiply: three times four quarts.
What is three times four?
Three times four is twelve.
Quick check: bigger unit to smaller unit — we multiply, and we get a bigger number. That makes sense!
Grade 5 · Gallons to quarts using a conversion factor
So three gallons equals twelve quarts. Great work!
What you see
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MayaGrade 3 · Mathematics
Did you know?
A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.
Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100
An example student.
M
MayaGrade 3 · Mathematics
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.