lesson 5-1 rate of change and slope sept. 8, 2014
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Lesson 5-1Rate of Change and Slope
Sept. 8, 2014
Daily Learning Target
• I will find rates of change from tables
• I will calculate slope.
Slope is a measure ofSteepness.
Types of Slope
PositiveNegative
Zero
Undefinedor
No Slope
Slope is sometimesreferred to as the“rate of change”
between 2 points.
The letter “m” isused to represent
slope.
Why?
If given 2 points on a line, you may findthe slope using theformula y2 – y1
x2 – x1m =
The formula may sometimes be written
as m =∆y . ∆x
What is ∆ ?
Find the slope of the line through the
points (3,7) and (5, 19).x1 y1 x2 y2
m = 19 – 7
5 – 3 m = 12 2
m = 6
(3, 4) and (-6, -2)
-2 – 4 -6 – 3 m = -6 -9
m = ⅔
m=
Example 1
Time (min) Distance (ft)
1 260
2 520
3 780
4 1040
The following table shows the distance a band marches over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?
What if thenumerator is 0?
What if thedenominator is 0?
If given the graphof a line, find the
slope by using the“triangle” method to
find the rise over run.
rise = 4
run = 5
m= rise
run
m= 4/5
Homework
• Workbook
• page 139 problems 1, 3, 5, 6, 8, 12, 13, 15
• Page 141 1-6 ALL
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