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

Lesson 3.103.10 · Part II

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can convert measurement units using ratios and conversion factors.

Remember3.10 · Part II

Dimensional Analysis & Unit Conversions

  1. Write the given measurement as a fraction over 1
  2. Multiply by conversion ratios arranged so unwanted units cancel diagonally
  3. Multiply numerators, multiply denominators, and simplify the remaining 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.
    Yards16Feet3?× ?× ?

    There are 3 feet in 1 yard. How many feet are in 6 yards?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Pounds17Ounces16?× ?× ?

    There are 16 ounces in 1 pound. How many ounces are in 7 pounds?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Feet1?Inches1290× ?× ?

    A board is 90 inches long. How many feet long is it? Write your answer as a decimal.

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Gallons13Quarts4?× ?× ?

    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
    Final answer:
  5. 5Complete each step, then write the final answer.
    Hours12Minutes60?Seconds??× ?× ?

    A soccer game lasts 2 hours. How many seconds is that? Use 1 hour = 60 minutes and 1 minute = 60 seconds.

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.
    Quarts14Cups4?× ?× ?

    Each batch of soup needs 3 cups of milk. You have 1 gallon of milk. Use 1 gallon = 4 quarts and 1 quart = 4 cups. How many full batches can you make?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    How many inches are in 7 feet?

    1. A70 inches
    2. B72 inches
    3. C84 inches
    4. D96 inches
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    How many feet are in 3 yards?

    1. A6 feet
    2. B9 feet
    3. C12 feet
    4. D36 feet
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    How many ounces are in 4 pounds?

    1. A16 ounces
    2. B32 ounces
    3. C48 ounces
    4. D64 ounces
    Show your work
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help