Algebra 1 5-1 Guided Practice: Rate of Change and Slope
By Matt Richardson
Last updated about 2 years ago
19 Questions
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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2.
Solve It! How do you know?
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3.
Review: Equivalent Fractions: Categorize the fractions appropriately.
- \frac{-1}{2}
- \frac{1}{-2}
- \frac{-1}{-2}
- Equivalent to \frac{1}{2}:
- Equivalent to -\frac{1}{2}:
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4.
Take note: What is a rate of change ?
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5.
Problem 1 Got It?
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6.
Problem 2 Got It?
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Problem 2 Got It?
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8.
Problem 2 Got It?
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9.
Take note: What is the slope formula used for?
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10.
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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11.
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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12.
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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13.
Problem 4 Got It?
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14.
Problem 4 Got It?
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15.
Graph a line that has positive slope.
Zoom and pan to establish an appropraite viewing window.
info
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16.
Graph a line that has negative slope.
Zoom and pan to establish an appropraite viewing window.
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17.
Graph a line that has a slope of 0.
Zoom and pan to establish an appropraite viewing window.
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18.
Graph a line that has undefined slope.
Zoom and pan to establish an appropraite viewing window.
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19.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?