Algebra 2 Schedule: Class Announcements Wednesday Warm-Up Homework Check/Questions 2.2 Notes Begin...
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Algebra 2 Algebra 2 Schedule: • Class Announcements • Wednesday Warm-Up • Homework Check/Questions • 2.2 Notes • Begin Homework
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Transcript of Algebra 2 Schedule: Class Announcements Wednesday Warm-Up Homework Check/Questions 2.2 Notes Begin...
Algebra 2Algebra 2
Schedule:• Class Announcements• Wednesday Warm-Up• Homework Check/Questions• 2.2 Notes• Begin Homework
Wednesday Warm-UpWednesday Warm-Up
1) What is the greatest common factor of 42, 126, and 210 ?
A. 2
B. 6
C. 14
D. 21
E. 42
2) Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
A. 16
B. 17.5
C. 20.5
D. 22
E. 35
2.2 – Slope and Rate of Change
Objectives:1. Find the slope of lines.2. Classify lines based on slope.3. Use slopes in real life.
Vocabulary: slope
Algebra 2Algebra 2
Classify slopes:positive slopesnegative slopes
horizontal line slope = 0vertical line no slope
undefined
steepness = magnitude of slope
direction = sign of slopem = -2
steepness
direction
“READ” SLOPES FROM LEFT TO
RIGHT!
Important:
Using Slopes
riserun___ =
Vertical change
Horizontal change_________
Estimate the slope of the line.
Meet Slope Man…Meet Slope Man…
-+
u
0
12
12
xxyy
ΔxΔy
slope
How do I find slope?1.Pick/label points &
use formula.2.Simplify.
Find the slope of:M(-4, 5) and N(3, 15)
710
m
rise – vertical change
run – horizontal change
Rising or falling? Steep or
level?
12
12
xxyy
ΔxΔy
slope
How do I find slope?1.Pick/label points &
use formula.2.Simplify.
Find the slope of:P(0, -5) and N(4, -7)
rise – vertical change
run – horizontal change
2 1-
4 2-
m
Rising or falling? Steep or
level?
12
12
xxyy
ΔxΔy
slope
How do I find slope?1.Pick/label points &
use formula.2.Simplify.
Find the slope of:A(4, 16) and B(12, -8)
rise – vertical change
run – horizontal change
-3824-
m
Rising or falling? Steep or
level?
Parallel Lines:same slopes m1 = m2
Perpendicular Lines:opposite reciprocal slopes
Classify these lines based on their slopes:
21 m
1m
32
m,32
m 21
23
m,32
m 21
1 2
2 3m , m
3 2
32
m,32
m 21
parallel
neither
perp.
neither
Parallel Lines:same slopes m1 = m2
Perpendicular Lines:opposite reciprocal slopes
Classify these lines based on their slopes:
A(5, 7), B(10, 12) and C(3, -2), D(5, 0)
E(3, 6), F(1, 2) and G(4, 1), H(0, 3)
21 m
1m
parallel
perp.
In 1993 there were 16 million cell phones. In 1996 there were 44 million. What is the rate of change? 9.3 million phones per
yearAt this rate, how many cell phones can we predict there to be today?
Is this reasonable to believe?
192.7 million phones
Mobile Phones
Find the slope of a slide that drops 8’ over a distance of 24’.
You decide to make “The Slide of Death.” If you have the slide drop 54’ over 80’, what is the slope of the “The Slide of Death?”
31
m
4027
m
Homework:• pgs. 79-80 #18, 19, 23-25, 41, 42, 44
• 2.1-2.3 Quiz on Monday, September 17th
Algebra 2Algebra 2
