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

Lesson 3.33.3 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can use a ratio table to find equivalent ratios — one step at a time, with support.

Remember3.3 Small Group · Group 1

To make a new row in a ratio table, multiply both numbers by the same scale factor. Never add the same number to both. In a ratio table, we multiply both numbers by the same scale factor to make an equivalent ratio.

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.
    BatchesFruit (cups)Yogurt (cups)________________

    A smoothie uses 3 cups of fruit for every 1 cup of yogurt. How many cups of fruit do you need for 4 batches?

    Show your work

    Hint The scale factor is 4. Multiply the fruit by 4.

    Final answer:
  2. 2Complete each step, then write the final answer.
    EggsMilk (cups)________________

    A recipe uses 3 eggs for every 2 cups of milk. How many eggs go with 10 cups of milk?

    Show your work

    Hint Find what number times 2 makes 10.

    Final answer:
  3. 3Complete each step, then write the final answer.
    InchesMiles________________

    On a map, 2 inches stand for 25 miles. How many miles do 8 inches stand for?

    Show your work

    Hint Find the scale factor from 2 inches to 8 inches.

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

    A ratio table has the rows 4:6 and 10:15. What number goes with 14 in the first column?

    Show your work

    Hint Divide both numbers in 4:6 by 2 first. Then multiply.

    Final answer:

Explain your thinkingRaj added 2 to both numbers in 3:4. Why does multiplying keep the same recipe, but adding changes it?

Sentence starter To make a new row, I multiply ___ by ___. · Adding the same number is wrong because ___.

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