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

Lesson 3.73.7 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can use ratio reasoning to convert measurements between the customary and metric systems, explain why the method works, and use it on a problem I have not seen before.

Remember3.7 Small Group · Group 2

A conversion factor works in both directions: multiply to go one way and divide to go back. The shorter unit always gives the bigger number. We can use a conversion factor backward. Divide to find how many of the smaller unit fit.

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)Miles (mi)________________

    A trail is 12 miles long. Use 1 kilometer ≈ 0.6 mile. About how many kilometers long is the trail?

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

    Use 1 kilometer ≈ 0.6 mile. About how many kilometers is 4.2 miles?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Gallons (gal)Liters (L)________________

    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:
  4. 4Complete each step, then write the final answer.
    Kilograms (kg)Pounds (lb)________________

    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:

Explain your thinkingTo change kilometers to miles, do you multiply or divide by 0.6? How do you decide which way to go?

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