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Algebra 1 5-1 Complete Lesson: Rate of Change and Slope

By Matt Richardson
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Last updated about 2 years ago
31 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 table shows the horizontal and vertical distances from the base of the mountain at several poles along the path of a ski lift. The poles are connected by a cable. Between which two poles is the cable's path the steepest?
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F.LE.1.b
10
2.
Solve It! How do you know?
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F.LE.1.b
5
3.
Problem 1 Got It?
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F.LE.1.b
10
4.
Problem 2 Got It?
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5.
Problem 2 Got It?
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5
6.
Problem 2 Got It?
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7.
Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?
Enter only a number in fraction form.
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F.LE.1.b
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8.
Problem 3 Got It? Reasoning: Plot the points (1, 3) and (4, -1) from the previous item and draw a line through them. Include relevant graph detail: label axes, indicate scale on both axes, add arrows to the ends of lines and axes.
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9.
Problem 3 Got It? Reasoning: Does the slope of the line you drew in the previous item match the slope you calculated in the item before that? Explain.
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F.LE.1.b
10
10.
Problem 4 Got It?
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11.
Problem 4 Got It?
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5
12.
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F.LE.1.b
10
13.
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F.LE.1.b
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14.
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15.
Vocabulary: What characteristic of a graph represents rate of change?
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16.
Open-Ended: Give an example of a real-world situation that you can model with a horizontal line. What is the rate of change for the situation? Explain.
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F.LE.1.b
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17.
Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?
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18.
Error Analysis: Explain the student's mistake.
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10
19.
Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

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10
20.
Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

F.IF.3
10
21.
Review Lesson 3-8: Use the sets below to build each union or intersection on the right of elements on the left.
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • { }
  • A ∩ B
  • A ∩ C
  • B ⋃ C
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22.
Review Lesson 2-7: Solve the proportion.
10
23.
Review Lesson 2-7: Solve the proportion.
Enter only a number.
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24.
Review Lesson 2-7: Solve the proportion.
Enter only a number.
10
25.
Review Lesson 2-7: Solve the proportion.
Enter only a number.
10
26.
Vocabulary Review: Use the terms on the left to complete the sentences on the right.
  • always
  • sometimes
  • never
  • division
  • multiplication
  • different
  • the same
  • A rate is __?__ a ratio.
  • A ratio is __?__ a rate.
  • A rate compares two quantities by __?__.
  • A rate compares quantities in __?__ unit(s).
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27.
Use Your Vocabulary: How does the slope of a road affect a person's driving?
10
28.
Use Your Vocabulary: What kind of ski slope would a beginning skier use.
10
29.
Concept Summary: Slopes of Lines Identify the type of slope shown by the line in each graph.
  • negative slope
  • positive slope
  • slope of 0
  • undefined slope
  • Graph A
  • Graph B
  • Graph C
  • Graph D
100
30.
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.
10
31.
Reflection: Math Success
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F.LE.1.b