Name:
Date:
Period:
Topic: Rate of Change & Slope
Essential 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
Define:
Rate of Change
Time (x)
Distance (y)
1 hour
70 miles
2 hours
140 miles
3 hours
210 miles
4 hours
280 miles
5 hours
350 miles
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?
Calculate the rate of change for the Math
Beach High Company
Time (x)
Revenue(y)
January
$20,000
February
25, 000
March
30, 000
April
35, 000
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
m=
Y2 – Y1
X2 – X1
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.
Graph the points
(-2, -2) and (4, 1)
and apply “rise
over run”.
6
3
rise/run = 3/6 = 1/2
Positive
Slope
(5, 4) and (1, 1)
Negative
Slope
(1, -1) and (5, -4)
Horizontal
or
Zero Slope
Find the slope of the
following points:
(0, -1) and (-2, -1)
Vertical
or
Undefined Slope
(-2, -3) and (-2, 3)
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