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Algebra 1 5-1 Rate of Change and Slope
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5 (1 rating)
by Matthew Richardson
| 30 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.
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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?
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3
5 pts
Problem 1 Got It?
A
B
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4
10 pts
Problem 2 Got It?
A
B
C
D
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5
10 pts
Problem 2 Got It?
A
B
C
D
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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.
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.
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10
10 pts
Problem 4 Got It?
A
B
C
D
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11
10 pts
Problem 4 Got It?
A
B
C
D
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12
5 pts
A
B
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13
10 pts
A
B
C
D
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14
10 pts
A
B
C
D
15
10 pts
Vocabulary: What characteristic of a graph represents rate of change? Explain.
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.
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17
10 pts
Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?
2
1/2
-1/2
-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.

  • A ∩ B
    Answer by dragging items here
  • A ∩ C
    Answer by dragging items here
  • B ⋃ C
    Answer by dragging items here
22
10 pts
Review Lesson 2-7: Solve the proportion.
6.8
7.5
3.3
13
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.
  • A rate is __?__ a ratio.
    Answer by dragging items here
  • A ratio is __?__ a rate.
    Answer by dragging items here
  • A rate compares two quantities by __?__.
    Answer by dragging items here
  • A rate compares quantities in __?__ unit(s).
    Answer by dragging items here
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.
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29
10 pts
Concept Summary: Slopes of Lines Identify the type of slope shown by the line in each graph.
  • Graph A
    Answer by dragging items here
  • Graph B
    Answer by dragging items here
  • Graph C
    Answer by dragging items here
  • Graph D
    Answer by dragging items here
30
10 pts
Reflection: Math Success
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