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

Lesson 3.73.7 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 use ratio reasoning to convert measurements between the customary and metric systems — one step at a time, with support.

Remember3.7 Small Group · Group 1

To convert between customary and metric units, scale the conversion factor in a ratio table. The answer is close, not exact. A conversion factor links customary and metric units. A ratio table helps us convert between the two systems.

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.
    Kilograms (kg)Pounds (lb)________________

    A bag of rice has a mass of 5 kilograms. Use 1 kilogram ≈ 2.2 pounds. About how many pounds is the bag?

    Show your work

    Hint Find the scale factor from 1 to 5. Multiply 2.2 by the same factor.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Kilometers (km)Miles (mi)________________

    Use 1 kilometer ≈ 0.6 mile. About how many miles is 70 kilometers?

    Show your work

    Hint Find the scale factor from 1 to 70. Multiply 0.6 by the same factor.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Kilograms (kg)Pounds (lb)________________

    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

    Hint Find the scale factor from 1 to 4. Multiply 2.2 by the same factor.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Meters (m)Feet (ft)________________________

    A pool is 25 meters long. Ben swims 4 lengths. Use 1 meter ≈ 3.3 feet. About how many feet does Ben swim?

    Show your work

    Hint Scale 1 : 3.3 to one 25-meter length. Then scale again for 4 lengths.

    Final answer:

Explain your thinkingSam thought 50 kilometers is 50 miles. Why is the number of miles smaller? Use the ratio 1 : 0.6 to explain.

Sentence starter The number of miles is smaller because ___. · 50 kilometers is about ___ miles because ___.

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