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

Lesson 3.93.9 Small Group · Group 2

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

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Learning target I can find and check equivalent ratios using multiplication and division, explain why the method works, and use it on a problem I have not seen before.

Remember3.9 Small Group · Group 2

Two ratios are equivalent when they simplify to the same ratio, even if no whole-number scale factor connects them directly. To check if two ratios are equivalent, simplify both. Equivalent ratios simplify to the same ratio.

Words: Equivalent Ratios (Razones equivalentes)Ratio (Razón)Rate (Tasa)Proportion (Proporción)Simplify (Simplificar)

  1. 1Complete each step, then write the final answer.
    First amountSecond amount________________________

    Is the ratio 8:12 equivalent to the ratio 10:15? Answer yes or no.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    First amountSecond amount________________________

    The ratio 8:14 is equivalent to 12 : ?. Find the missing number.

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

    The Hawks won 10 games and lost 4. The Bears won 15 games and lost 6. Are their win-to-loss ratios equivalent? Type yes or no.

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Red (cups)Yellow (cups)________________________

    Orange paint uses 6 cups of red for 9 cups of yellow. You have 10 cups of red and 20 cups of yellow. You use all the red. How many cups of yellow are left?

    Show your work
    Final answer:

Explain your thinkingNo whole number turns 6 into 9. How can you still check whether 6:10 and 9:15 are equivalent?

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