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

By Matt Richardson
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Last updated about 2 years ago
11 Questions
10
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
  • Length
  • Minutes of Calls
  • Cost
  • 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.
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7.
Take Note: How can you identify the dependent quantity in a relationship?
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8.
Take Note: How can you identify the independent quantity in a relationship?
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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?