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

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Last updated almost 4 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.
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Question 2
2.

Solve It! How do you know?

5
Question 3
3.

Problem 1 Got It?

10
Question 4
4.

Problem 2 Got It?

10
Question 5
5.

Problem 2 Got It?

5
Question 6
6.

Problem 2 Got It?

Question 7
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.

Question 8
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.

Question 9
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.

10
Question 10
10.

Problem 4 Got It?

10
Question 11
11.

Problem 4 Got It?

5
Question 12
12.
10
Question 13
13.
10
Question 14
14.
Question 15
15.

Vocabulary: What characteristic of a graph represents rate of change?

Question 16
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.

10
10
Question 18
18.

Error Analysis: Explain the student's mistake.

Question 19
19.

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

Question 20
20.

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

Question 21
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
Question 22
22.

Review Lesson 2-7: Solve the proportion.

Question 23
23.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Question 24
24.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Question 25
25.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Question 26
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).
Question 27
27.

Use Your Vocabulary: How does the slope of a road affect a person's driving?

Question 28
28.

Use Your Vocabulary: What kind of ski slope would a beginning skier use.

10
Question 29
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
Question 30
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.

Question 31
31.

Reflection: Math Success

Question 1
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?

Question 17
17.

Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?