Algebra 1 4-1 Guided Practice: Using Graphs to Relate Two Quantities

By Matt Richardson
Last updated over 2 years ago
11 Questions
1.

Solve It! The graphs above relate the height of the water to the volume of water in each container. Match each graph with its container.

  • Graph 1
  • Graph 2
  • Graph 3
  • Container A
  • Container B
  • Container C
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2.

Problem 1 Got It? What are the variables in each graph?

  • Time
  • Cost
  • Minutes of Calls
  • Length
  • Graph a
  • Graph b
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3.

Problem 1 Got It? Describe how the variables in graph a are related at various points on the graph. You may use the canvas to help illustrate your descriptions.

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4.

Problem 1 Got It? Describe how the variables in graph b are related at various points on the graph. You may use the canvas to help illustrate your descriptions.

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5.

Problem 2 Got It?

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6.

Take Note: Describe the realationship between an independent quantity and its dependent quantity.

7.

Take Note: How can you identify the dependent quantity in a relationship?

8.

Take Note: How can you identify the independent quantity in a relationship?

9.

Problem 3 Got It? Suppose you start to swing yourself on a playground swing. You move back and forth and swing higher in the air. Then you slowly swing to a stop. Sketch a graph that could represent how your height from the ground might change over time. Label each section.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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10.

Problem 3 Got It? Reasoning: If you jumped from the swing instead of slowly swinging to a stop, how would the graph be different? Explain.


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11.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?