Algebra 1 5-1 Complete Lesson: Rate of Change and Slope
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5 (2 ratings)
by Matthew Richardson
| 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.
The outlined content above was added from outside of Formative.
1
2
1
10 pts
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?
Pole A
Pole B
Pole C
Pole D
2
10 pts
Solve It! How do you know?
3
3
5 pts
Problem 1 Got It?
A
B
4
4
10 pts
Problem 2 Got It?
A
B
C
D
5
5
10 pts
Problem 2 Got It?
A
B
C
D
6
6
5 pts
Problem 2 Got It?
A
B
7
10 pts
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.
8
10 pts
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.
9
10 pts
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
10
10 pts
Problem 4 Got It?
A
B
C
D
11
11
10 pts
Problem 4 Got It?
A
B
C
D
12
12
5 pts
A
B
13
13
10 pts
A
B
C
D
14
14
10 pts
A
B
C
D
15
10 pts
Vocabulary: What characteristic of a graph represents rate of change?
The x-intercept
The slope
The y-intercept
16
10 pts
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.
17
18
17
10 pts
Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?
2
-2
1/2
-1/2
18
10 pts
Error Analysis: Explain the student's mistake.
19
10 pts
Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

5
7
9
19
21
20
10 pts
Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

-5
0
1
7
13
49
21
10 pts
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
22
10 pts
Review Lesson 2-7: Solve the proportion.
13
3.3
6.8
7.5
23
10 pts
Review Lesson 2-7: Solve the proportion.
Enter only a number.
24
10 pts
Review Lesson 2-7: Solve the proportion.
Enter only a number.
25
10 pts
Review Lesson 2-7: Solve the proportion.
Enter only a number.
26
10 pts
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).
27
10 pts
Use Your Vocabulary: How does the slope of a road affect a person's driving?
28
10 pts
Use Your Vocabulary: What kind of ski slope would a beginning skier use.
29
29
10 pts
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
30
100 pts
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.