Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3c

Lesson 3.103.10 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

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Learning target With my small group, I can convert measurement units using ratios and conversion factors — one step at a time, with support.

Remember3.10 Small Group · Group 1

To convert to a smaller unit, multiply by the conversion factor. The number gets bigger because the unit is smaller. A conversion factor tells how two units compare. Multiply by it to change to a smaller unit.

Words: Conversion Factor (Factor de conversión)Unit (Unidad)Equivalent (Equivalente)Ratio (Razón)Customary units (Unidades usuales (sistema inglés))

  1. 1Complete each step, then write the final answer.
    MetersCentimeters________________

    A table is 2 meters long. There are 100 centimeters in 1 meter. How many centimeters long is the table?

    Show your work

    Hint Find the scale factor from 1 meter to 2 meters. Multiply 100 by it.

    Final answer:
  2. 2Complete each step, then write the final answer.
    FeetInches________________

    There are 12 inches in 1 foot. How many inches are in 10 feet?

    Show your work

    Hint Write 1 foot and 12 inches first. Then scale from 1 foot to 10 feet.

    Final answer:
  3. 3Complete each step, then write the final answer.
    GallonsQuarts________________

    A jug holds 3 gallons of milk. There are 4 quarts in 1 gallon. How many quarts of milk does the jug hold?

    Show your work

    Hint Write 1 gallon and 4 quarts first. Then scale from 1 gallon to 3 gallons.

    Final answer:
  4. 4Complete each step, then write the final answer.
    YardsFeetInches________________

    A garden hose is 5 yards long. Use 1 yard = 3 feet and 1 foot = 12 inches. How many inches long is the hose?

    Show your work

    Hint First find the inches in 1 yard. Then scale the whole column by 5.

    Final answer:

Explain your thinking4 is less than 11, but 4 yards is longer than 11 feet. How can that be? Use the conversion factor to explain.

Sentence starter 4 yards is longer because ___. · Before I compare two lengths, I ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help