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

Lesson 3.53.5 Small Group · Group 2

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

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Learning target I can compare ratios by finding unit rates or using equivalent ratios, explain how I can tell, and judge a case I have not seen before.

Remember3.5 Small Group · Group 2

To compare ratios, make one amount the same in both. Then the other amounts show which ratio is greater. The ratio with bigger numbers is not always the greater ratio. Compare them using a common amount.

Words: Unit rate (Tasa unitaria)Equivalent ratio (Razón equivalente)Compare (Comparar)Simplify (Simplificar)Common denominator (Denominador común)

  1. 1Complete each step, then write the final answer.
    Juice (cups)Water (cups)________________________________
    Mix A: first two columns. Mix B: last two.

    Mix A uses 2 cups of juice for 5 cups of water. Mix B uses 3 cups of juice for 8 cups of water. Which mix tastes more like juice?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Honey (spoons)Tea (cups)________________________________
    Tea A: first two columns. Tea B: last two.

    Tea A uses 2 spoons of honey for 9 cups of tea. Tea B uses 3 spoons of honey for 12 cups of tea. Which tea is sweeter?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Time (hours)Distance (mi)________________________________
    Bird A: first two columns. Bird B: last two.

    Bird A flies 54 miles in 3 hours. Bird B flies 75 miles in 5 hours. How many more miles per hour does the faster bird fly?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    PensCost ($)________________________________
    Columns in pairs: Shop A, Shop B, Shop C.

    Shop A sells 6 pens for $4.50. Shop B sells 8 pens for $5.60. Shop C sells 10 pens for $7.20. What is the lowest price for 1 pen?

    Show your work
    Final answer:

Explain your thinkingRecipe B used more oats, but it was not the oatier recipe. How do you pick a common amount to compare two ratios fairly?

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