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

Lesson 3.6Metric Unit Conversions

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

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Learning target I can use ratio reasoning to convert between units within the same measurement system.

Remember3.6 · Part II

Converting Measurements (Same System)

  1. Identify the conversion factor (e.g. 1 ft = 12 in, 1 km = 1,000 m)
  2. Larger to smaller unit: Multiply by the conversion factor
  3. Smaller to larger unit: Divide by the conversion factor

Words: Conversion factor (Factor de conversión)Unit ratio (Razón unitaria)Convert (Convertir)Measurement system (Sistema de medidas)Double number line (Recta numérica doble)

  1. 1Complete each step, then write the final answer.
    Feet16Inches12?× ?× ?

    How many inches are in 6 feet?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Pounds15Ounces16?× ?× ?

    There are 16 ounces in 1 pound. How many ounces are in 5 pounds?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Pounds12Ounces16?× ?× ?

    Bag A of rice weighs 2 pounds. Bag B weighs 30 ounces. How many more ounces does the heavier bag weigh?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Quarts12Cups4?× ?× ?

    A pitcher holds 2 quarts of juice. There are 4 cups in 1 quart. How many cups of juice does the pitcher hold?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Milliliters1,0002,250Liters1?× ?× ?

    A carton holds 2,250 milliliters of juice. How many liters of juice is that?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.
    Kilometers13Meters1,000?× ?× ?

    A track is 400 meters around. How many laps does a runner need to run 3 kilometers?

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

    There are 12 inches in 1 foot. How many inches are in 5 feet?

    1. A7 inches
    2. B17 inches
    3. C50 inches
    4. D60 inches
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    There are 1,000 milliliters in 1 liter. How many milliliters are in 3 liters?

    1. A30 mL
    2. B300 mL
    3. C1,003 mL
    4. D3,000 mL
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    There are 16 ounces in 1 pound. How many pounds is 48 ounces?

    1. A3 pounds
    2. B32 pounds
    3. C64 pounds
    4. D768 pounds
    Show your work
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