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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

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

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

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

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

Problem 2 Got It?

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.

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

Use the graph to describe how the variables are related.

Describe the relationship between time and temperature in the table.

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

Which of the labeled segments in the graph is constant?

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

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

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.

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.

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