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

Lesson 3.33.3 Small Group · Group 2

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

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Learning target I can use a ratio table to find equivalent ratios, explain why the method works, and use it on a problem I have not seen before.

Remember3.3 Small Group · Group 2

We can multiply or divide both numbers by the same factor to move around a ratio table, but adding the same number breaks the ratio. When no whole-number scale factor works, divide first to a smaller ratio, then multiply.

Words: Ratio Tables (Tablas de razones)Ratio table (Tabla de razones)Equivalent ratio (Razón equivalente)Scale factor (Factor de escala)Pattern (Patrón)

  1. 1Complete each step, then write the final answer.
    Rice (cups)Water (cups)________________________

    A ratio table shows 4 cups of rice for every 10 cups of water. How many cups of water go with 6 cups of rice?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Red beadsBlue beads________________________

    A ratio table shows 14 red beads for every 21 blue beads. How many blue beads go with 4 red beads?

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

    A printer prints 20 pages in 8 minutes. At that rate, how many pages does it print in 18 minutes?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    FirstSecond________________________

    A ratio table has the rows 18:12 and ?:30. Find the missing number.

    Show your work
    Final answer:

Explain your thinkingWhen can you multiply right away in a ratio table, and when should you divide first? Use 15:6 and 8 bananas to explain.

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