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

Lesson 3.53.5 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 compare ratios by finding unit rates or using equivalent ratios — one step at a time, with support.

Remember3.5 Small Group · Group 1

We compare ratios fairly by making one amount the same in both, or by finding each unit rate. To compare two ratios fairly, make one amount the same in both, or find each unit rate.

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.
    NotebooksCost ($)________________________________
    Store A: first two columns. Store B: last two.

    Store A sells 4 notebooks for $8. Store B sells 5 notebooks for $15. Which store has the lower price for 1 notebook?

    Show your work

    Hint Divide each cost by the number of notebooks: $8 ÷ 4 and $15 ÷ 5.

    Final answer:
  2. 2Complete each step, then write the final answer.
    PensCost ($)________________________________
    Store A: first two columns. Store B: last two.

    Store A sells 3 pens for $3.60. Store B sells 5 pens for $5.50. What is the lower price for 1 pen?

    Show your work

    Hint Divide each cost by the number of pens. Then compare.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Red (cups)White (cups)________________________________
    Paint A: first two columns. Paint B: last two.

    Paint A mixes 1 cup of red with 2 cups of white. Paint B mixes 2 cups of red with 5 cups of white. Which paint is more red?

    Show your work

    Hint Scale both mixes to 10 cups of white. Then compare the red.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Lemon juice (cups)Water (cups)________________________________
    Mix A: first two columns. Mix B: last two.

    Mix A uses 3 cups of lemon juice for 8 cups of water. Mix B uses 5 cups of lemon juice for 12 cups of water. Which mix is more lemony?

    Show your work

    Hint Find a water amount both can reach. 24 works for 8 and 12.

    Final answer:

Explain your thinkingJuice B has 3 cups of mango and Juice A has 2. Why can't you just compare 3 and 2?

Sentence starter I cannot compare 3 and 2 yet because the ___ is different. · To compare fairly, I make ___ the same, or I find ___.

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