Sixth Grade · Math · week 8

Converting measurements using rates

Use a conversion rate as a ratio to convert between units of measurement, choosing to multiply or divide correctly.

A conversion like "1 foot = 12 inches" is really a ratio, and you can use it just like any other rate - multiply by the ratio so the unit you do not want cancels out and the unit you want remains.

Some handy rates to know: 12 inches = 1 foot, 3 feet = 1 yard, 16 ounces = 1 pound, 60 minutes = 1 hour, 100 centimeters = 1 meter, 1000 meters = 1 kilometer.

To convert from a smaller unit to a bigger one, divide. To convert from a bigger unit to a smaller one, multiply.

📋 For the teacher
Teach it (10–15 min):
  • Keep a short list of conversion rates posted somewhere handy - this is a reasoning skill, not pure memorization.
  • Before converting, ask "am I going from a big unit to a small one, or small to big?" to decide multiply versus divide.
  • Use the "does this make sense" check every time: more small units, fewer big units.
  • Practice with real measuring tools - a ruler, a kitchen scale, a measuring cup - to make the rates concrete.
Talk about it:
  • How do you decide whether to multiply or divide when converting units?
  • Why does converting to a smaller unit always give a bigger number?
  • What conversion rate do you use most often in daily life?

Mastery looks like: They choose the correct conversion rate and correctly multiply or divide to convert between units, checking that the result makes sense.

Common stumbles: Multiplying when they should divide, or the reverse; using the wrong conversion rate from memory.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

MultiplicationEqual groups and arrays make products finally click.try →DivisionShare fairly and build equal groups.try →
Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
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