Algebra 1 4-1 Complete Lesson: Using Graphs to Relate Two Quantities
By Matt Richardson
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Last updated over 2 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.
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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10
2.
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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10
3.
Problem 1 Got It? Describe how the variables in graph a are related at various points on the graph.
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10
4.
Problem 1 Got It? Describe how the variables in graph b are related at various points on the graph.
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10
5.
Problem 2 Got It?
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20
6.
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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10
10
8.
What are the variables in the graph? Select all that apply.
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10
9.
Use the graph to describe how the variables are related.
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10
10.
Describe the relationship between time and temperature in the table.
5
11.
Which of the labeled segments in the graph is rising slowly?
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5
12.
Which of the labeled segments in the graph is constant?
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5
13.
Which of the labeled segments in the graph is falling quickly?
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10
14.
Reasoning: Describe a real-world relationship that could be represented by the graph.
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10
15.
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
30
16.
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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30
17.
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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10
18.
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)
5
19.
Use Your Vocabulary: Complete the sentence with the appropriate word from the list.
"Jean needed to __________ the data she gathered in her experiment."
5
20.
Use Your Vocabulary: Complete the sentence with the appropriate word from the list.
"The chemist __________ the data to draw a conclusion."
5
21.
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."
100
22.
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.
