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

Lesson 3.7Multi-Step System Conversions & Dosage

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

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Learning target I can use ratio reasoning to convert measurements between the customary and metric systems.

Remember3.7 · Part II

Converting Measurements Between Systems

  1. Identify the conversion ratio connecting systems (e.g. 1 in = 2.54 cm, 1 kg ≈ 2.2 lbs)
  2. Set up a ratio table or proportion aligning customary and metric units
  3. Multiply or divide by the conversion factor to compute the equivalent measurement

Words: Conversion factor (Factor de conversión)Customary system (Sistema usual)Metric system (Sistema métrico)Approximately (Aproximadamente)Ratio table (Tabla de razones)

  1. 1Complete each step, then write the final answer.
    Kilometers (km)125Miles (mi)0.6?× ?× ?

    Use 1 kilometer ≈ 0.6 mile. About how many miles is 25 kilometers?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Pounds (lb)160Kilograms (kg)0.45?× ?× ?

    A dog weighs 60 pounds. Use 1 pound ≈ 0.45 kilogram. About how many kilograms does the dog weigh?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Kilometers (km)18Miles (mi)0.6?× ?× ?

    Race A is 8 kilometers. Race B is 5 miles. Use 1 kilometer ≈ 0.6 mile. About how many miles is Race A?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Kilograms (kg)14Pounds (lb)2.2?× ?× ?

    A baby has a mass of 4 kilograms. Use 1 kilogram ≈ 2.2 pounds. About how many pounds does the baby weigh?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Gallons (gal)1?Liters (L)3.819× ?× ?

    A water jug holds 19 liters. Use 1 gallon ≈ 3.8 liters. About how many gallons does the jug hold?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.
    Kilograms (kg)1?Pounds (lb)2.24,400× ?× ?

    A truck weighs 4,400 pounds. A bridge sign says the limit is 3,000 kilograms. Use 1 kilogram ≈ 2.2 pounds. About how many kilograms under the limit is the truck?

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

    1 kilometer ≈ 0.6 mile. About how many miles is 5 kilometers?

    1. A3 miles
    2. B5.6 miles
    3. C8 miles
    4. D30 miles
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    1 pound ≈ 0.45 kilogram. About how many kilograms is 10 pounds?

    1. A4.5 kg
    2. B10.45 kg
    3. C22 kg
    4. D45 kg
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Which pair of units comes from two DIFFERENT measurement systems?

    1. AInches and feet
    2. BCups and quarts
    3. CGrams and kilograms
    4. DMiles and kilometers
    Show your work
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