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Algebra 1 4-1 Complete Lesson: Using Graphs to Relate Two Quantities

By Matt Richardson
Last updated almost 3 years ago
23 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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

  • Minutes of Calls
  • Length
  • Time
  • Cost
  • Graph a
  • Graph b
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Problem 1 Got It? Describe how the variables in graph a are related at various points on the graph.

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Problem 1 Got It? Describe how the variables in graph b are related at various points on the graph.

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Problem 2 Got It?

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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.

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What are the variables in the graph? Select all that apply.

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Use the graph to describe how the variables are related.

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Describe the relationship between time and temperature in the table.

Which of the labeled segments in the graph is rising slowly?

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Which of the labeled segments in the graph is constant?

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Which of the labeled segments in the graph is falling quickly?

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Reasoning: Describe a real-world relationship that could be represented by the graph.

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Review Lesson 3-8:
Match each set below with the union or intersection it represents.
Sets may be used more than once. Some sets may not be used at all.

  • {}
  • {-1, 1, 3, 4, 7, 12}
  • {-3, -1, 1, 3, 4, 5}
  • {1}
  • {1, 4}
  • A ⋃ B
  • A ∩ B
  • B ⋃ C
  • A ∩ C

Review Lesson 1-9: Use a table, an equation, and a graph to represent the relationship.

Donald is 4 years older than Connie.

Complete your work in colors other than black.

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Review Lesson 1-9: Use a table, an equation, and a graph to represent the relationship.

You make 3 cards per hour.

Complete your work in colors other than black.

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Vocabulary Review: Use the graph above. Match each point with its coordinates.

  • K
  • L
  • M
  • N
  • P
  • (-3, 4)
  • (-2, -1)
  • (0, 0)
  • (2, 1)
  • (3, -2)

Use Your Vocabulary: Complete the sentence with the appropriate word from the list.

"Jean needed to __________ the data she gathered in her experiment."

Use Your Vocabulary: Complete the sentence with the appropriate word from the list.

"The chemist __________ the data to draw a conclusion."

Use Your Vocabulary: Complete the sentence with the appropriate word from the list.

"An __________ of the traffic at an intersection showed the need for a traffic light."

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

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