Students convert between units of weight (ounces, pounds, tons) and mass (grams, kilograms) within the same measurement system. They use multiplication and division with appropriate conversion factors.
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Grade 5 · Measurement Conversions · question 1 of 3
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20 rungs. A star at the top.
What is the scale's reading in kilograms?
Read the scale.
How it is taught
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Weight can be renamed with ounces or pounds in the same system.
Pounds are larger units, so the number gets smaller.
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.
14 pounds = ___ ounces — 224. Every pound is 16 ounces, so 14 of them is 14 times 16: 224.
5 lb = ? oz
A bag of apples weighs five pounds. How many ounces is that?
We need to convert five pounds into ounces.
Here's our key fact: one pound equals sixteen ounces.
Pounds are bigger than ounces, so to find ounces we multiply by sixteen.
Write five times sixteen.
Five times ten is fifty.
Five times six is thirty.
Fifty plus thirty is eighty.
Grade 5 · Pounds to ounces
So five pounds equals eighty ounces. Great work!
What you see
While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.
M
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.