Grade 6 Mathematics · Unit 9: Relationships Between Two VariablesStandard 6.AT.11

Lesson 9.1Tables of Values

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

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Learning target I can recognize when two quantities change together, and identify which one is the independent variable and which is the dependent variable.

Remember9.1 · Part II

Independent & Dependent Variables

  1. Independent Variable (x): The input / cause that is chosen or changes freely
  2. Dependent Variable (y): The output / effect that depends on the independent variable
  3. Sentence check: 'The (dependent) depends on the (independent)'

Words: independent variable (variable independiente)dependent variable (variable dependiente)depends on (depende de)quantity (cantidad)relationship (relación)

  1. 1Circle the letter of the best answer. Show how you know.

    Lin chooses how many dogs to walk. She earns money for each dog. Which is the dependent variable?

    1. AThe money Lin earns
    2. BThe number of dogs
    3. CBoth are dependent
    Show your work
  2. 2Complete each step, then write the final answer.

    Ravi chooses how many hours to practice piano each week. His teacher gives his song a score. Is the score independent or dependent?

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

    Rosa wants exactly 20 roses. She records how many minutes it takes to pick them. Is the number of roses independent or dependent here?

    Show your work
    Final answer:
  4. 4Circle the letter of the best answer. Show how you know.

    Water flows into a tank. You choose how many minutes the water runs. Which sentence is correct?

    1. AThe gallons in the tank depend on the minutes.
    2. BThe minutes depend on the gallons in the tank.
    3. CThe minutes and the gallons do not change together.
    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    A phone battery drains while you watch videos. You choose how many minutes to watch. Which sentence is correct?

    1. AThe battery left depends on the minutes of video.
    2. BThe minutes of video depend on the battery left.
    3. CThe battery and the minutes do not change together.
    Show your work
  6. 6Circle the letter of the best answer. Show how you know.

    A store owner sets the price of a T-shirt. Then she counts how many T-shirts sell that week. Which is the dependent variable?

    1. AThe number of T-shirts sold
    2. BThe price of a T-shirt
    3. CNeither. They do not change together.
    Show your work
  7. 7Circle the letter of the best answer. Show how you know.

    Akela chooses how many hours of sunlight each tray gets. Which is the INDEPENDENT variable?

    1. APlant height
    2. BHours of sunlight
    3. CNumber of trays
    4. DNumber of seeds
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    In Akela's experiment, which is the DEPENDENT variable?

    1. AHours of sunlight
    2. BThe kind of seed
    3. CThe size of the tray
    4. DPlant height
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Claire burned 123 Calories on a 30-minute jog. Which quantity is subject to choice?

    1. ACalories she burns
    2. BHer heart rate
    3. CMinutes she jogs
    4. DThe weather
    Show your work
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