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Name:Date: Period:Topic: Rate of Change & SlopeEssential Question: What does the slope of the line indicate about line?
Warm-Up: (Brain teaser)
What is the difference between the two line of variables?
Home-Learning Review:
• Random\HLA1-2nd Grading Period.doc
Rate of Change
Define:
Time (x) Distance (y)
1 hour 70 miles
2 hours 140 miles
3 hours 210 miles
4 hours 280 miles
5 hours 350 miles
Time (x) Revenue(y)
January $20,000
February 25, 000
March 30, 000
April 35, 000
Calculate the rate of change for the Math Beach High Company
How do you obtain the rate change for this table of values?
How do you obtain the rate of change for the previous table of values?
Are there any similarities?
Imagine yourself...
What is the meaning of this sign?
A) icy road ahead
B) steep road ahead
C) curvy road ahead
D) trucks entering highway ahead
Slope is the steepness of a line. (vertical change over horizontal change).
It can also be defined as rise over run
Y2 – Y1
X2 – X1m =
Example
Given the ordered pairs (-2, -2) and (4, 1), find the slope of the line that passes
through these points.
Determine the slope of the line.
rise/run = 3/6 = 1/2
6
3
Graph the points
(-2, -2) and (4, 1) and apply “rise
over run”.
(5, 4) and (1, 1)Positive Slope
Negative Slope
(1, -1) and (5, -4)
Find the slope of the following points:
(0, -1) and (-2, -1)
Horizontal or
Zero Slope
(-2, -3) and (-2, 3)Vertical
or Undefined Slope
Find the slope by counting units and by using the slope formula:
Independent Practice:
Page 295 (2 – 7 Skip # 5)
How would you determine the slope by the Book?
Hand-out
36.
37.
EOC Practice
38.
39.
EOC Practice
Wrap-Up:
• Summary
• Assigned HLA#2
Page 296-298
(12, 14, 16, 18, 20, 24, 43, 44, 59, 66)
• Vocabulary Review
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