Algebra 1 5-1 Complete Lesson: Rate of Change and Slope
By Matt Richardson
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Last updated almost 3 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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10
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?
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Question 2
2.
Solve It! How do you know?
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5
Question 3
3.
Problem 1 Got It?
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Question 4
4.
Problem 2 Got It?
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Question 5
5.
Problem 2 Got It?
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5
Question 6
6.
Problem 2 Got It?
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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.
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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.
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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.
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Question 10
10.
Problem 4 Got It?
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Question 11
11.
Problem 4 Got It?
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5
Question 12
12.
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Question 13
13.
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Question 14
14.
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Question 15
15.
Vocabulary: What characteristic of a graph represents rate of change?
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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.
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Question 17
17.
Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?
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Question 18
18.
Error Analysis: Explain the student's mistake.
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Question 19
19.
Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.
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Question 20
20.
Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.
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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
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Question 22
22.
Review Lesson 2-7: Solve the proportion.
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Question 23
23.
Review Lesson 2-7: Solve the proportion.
Enter only a number.
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Question 24
24.
Review Lesson 2-7: Solve the proportion.
Enter only a number.
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Question 25
25.
Review Lesson 2-7: Solve the proportion.
Enter only a number.
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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).
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Question 27
27.
Use Your Vocabulary: How does the slope of a road affect a person's driving?
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Question 28
28.
Use Your Vocabulary: What kind of ski slope would a beginning skier use.
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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
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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.
