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

Lesson 3.3The Bridge Strategy (Scaling Ratios)

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can use a ratio table to find equivalent ratios.

Remember3.3 · Part II

Equivalent Ratios & Ratio Tables

  1. Multiply or divide both terms in a ratio by the same non-zero scale factor
  2. In a ratio table, rows and columns maintain the same proportional unit rate
  3. Use additive or multiplicative patterns to find missing values in the table

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.
    Bags15Apples6?× ?× ?

    One bag holds 6 apples. Complete the ratio table. How many apples are in 5 bags?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Tomatoes4?Onions312× ?× ?

    A food truck uses 4 tomatoes for every 3 onions in its salsa. How many tomatoes go with 12 onions?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Strawberries15??Bananas6?8÷ ?÷ ?× ?× ?

    A smoothie uses 15 strawberries for every 6 bananas. How many strawberries go with 8 bananas?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Inches28Miles25?× ?× ?

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

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Pages20??Minutes8?18÷ ?÷ ?× ?× ?

    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:
  6. 6Complete each step, then write the final answer.
    First18??Second12?30÷ ?÷ ?× ?× ?

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

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    A recipe uses 3 eggs for every 5 cups of flour. How many eggs are needed for 15 cups of flour?

    1. A6
    2. B9
    3. C10
    4. D12
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Which row does NOT belong in a ratio table for 4:5?

    1. A6:10
    2. B8:10
    3. C12:15
    4. D16:20
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    A ratio table shows 3:7, 6:14, and 9:21. What is the next row?

    1. A10:24
    2. B12:28
    3. C12:24
    4. D15:28
    Show your work
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