agenda 1.hand out unit 5 outline 2.handout: 4 types of slope (10-15 mins) – for homework if not...
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Agenda
1. Hand out Unit 5 Outline
2. Handout: 4 types of slope (10-15 mins) – for homework if not done
3. Lesson: Rate of Change and Slope Part 1
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5.1 Rate of Change and Slope
Objective: SWBAT determine the slope of a line given a
graph or two ordered pairs.
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Rate of Change
change of Rate variabledependent in the change
What is the rate of change for the data to the left?
change of dependent = $15change of independent = 1
$15 = $15/day 1 day
What does the rate of change mean?It cost $15 more to rent a computer each day.
change in the independent variable
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The MagnumCedar Point, OH
Ghost RiderKnott’s Berry
FarmXcelerator
Knott’s Berry Farm
Superman6 Flags Magic
Mountain
Son of BeastKing’s Island, OH
How steep is the steepest roller coaster?
These arecompletely
vertical!
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Imagine a roller coaster moving from LEFT to RIGHT
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There are four different kinds of slope the coaster
could encounter...
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And 2 Special Cases…
The zero-fun coaster
The impossibly
scary coaster
What kind of slope are
they?
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Aw!That’s zero fun!
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That’s a really scary coaster, so the slope
is…
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For the following slides,call out whether the slope is positive, negative, zero,
or undefined.
Wait for the count of 3 before you say your
answer!
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negative
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posit
ive
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zero
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und
efined
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How do you calculate the slope of a line?
1. Pick two points on the line
2. Calculate “rise over run”3. Determine the sign
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Start with 2 points on gridline intersections
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How do you calculate the slope of a line?
Slope =
Vertical change
Horizontal change
OR... RiseRun
m
Slope =m
Rise
Run
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What sign is it?
Look to see if the slope is increasing
Or decreasing
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Model # 1: Watch me do the three stepsStep 1: Choose 2 points
Rise = 2
Run = 1
RiseRun21
m = 2
Step 3:Determine
the sign
posi
tive
Slope =
RiseRun
Step 2:
+
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Model # 2: Watch me do the three stepsStep 1: Choose 2 points
Rise = 1
Run = 3
RiseRun13
m = 1/3
Step 3:Determine
the sign
negative
Slope =
RiseRun
Step 2:
-
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Practice # 3: Find the slope of this line
RiseRun
Rise = 3
Run = 2
23
m+
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Practice # 4: Find the slope of this line
Rise = 1
Run = 3
31
m
RiseRun
negative
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End of Part 1 of the Lesson
• Complete and hand in with your homework folders if not already finished
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Agenda
• Lesson: Rate of Change and Slope Part 2
• Handout: Slope Graphic Organizer
• Homework Time
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Slope Formula
12
12
xx
yym
5. Given (5, -3) and (-4, 2), find the slope of the line.
x1 y1 x2 y2
m =54
)3(2
9
5
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Slope Formula
12
12
xx
yym
6. Given (0, -2) and (4, -2), find the slope of the line.
x1 y1 x2 y2
m =04
)2(2
4
0 0
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Tell your partner...What are the steps to find the slope
of a line from a graph?
Calculaterise over run.
Look at theline to see ifthe slope is positive ornegative.
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Wrap Up• Rate of Change (includes units)
• Slope
– Positive– Negative– Zero– Undefined
• HW: Pg. 296-297 # 9, 11-13 all, 17-19 all, 23,24,27
run
rise
12
12
xx
yym
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Homework
• Pg. 296-297
# 9, 11-13 all, 17-19 all, 23,24,27