IM3
-‐
L esson
3 :
W orking
w ith
Q uadratic
M odels
I n
V ertex
F orm
Unit
3
–
Q uadratric
F
unctions
A. Lesson
C ontext
How
&
w hy
d o
w e
b uild
N EW
k nowledge
i n
M athematics?
•
BIG
P ICTURE
o f
t his
What
N EW
I DEAS
&
N EW
C ONCEPTS
c an
w e
n ow
e xplore
w ith
s pecific
r eferences
t o
•
UNIT:
QUADRATIC
F UNCTIONS?
How
c an
w e
e xtend
o ur
k nowledge
o f
F UNCTIONS,
g iven
o ur
B ASIC
u nderstanding
o f
•
Functions?
Where
w e’ve
b een
Where
w e
a re
Where
w e
a re
h eading
CONTEXT
o f
t his
LESSON:
In
L esson
2 ,
y ou
w orked
w ith
HOW
d o
w e
How
d o
w e
e xtend
o ur
k nowledge
connected
t ransformed
ALGEBRAICALLY
w ork
&
s kills
o f
q uadratic
f unctions,
parabolas
t o
t he
f orm
o f
with
q uadratic
m odels
given
t he
n ew
i deas
&
c oncepts
w e
2
quadratics
a s
y
=
a (x
–
h )
+
k
in
t he
v ertex
f orm
now
k now
a bout
f unctions.
B. Lesson
O bjectives
a. Graph/Sketch
g raphs
o f
p arabolas
w hen
g iven
e quations
i n
v ertex
f orm
b. Evaluate
a nd
s olve
q uadratic
e quations
w hen
e quations
a re
i n
v ertex
f orm
c. Write
e quations
o f
g raphs
o f
p arabolas
u sing
v ertex
f orm
d. Apply
p revious
c oncepts
o f
i nverses
a nd
t ransformations
t o
p arabolas
w hen
w ritten
i n
v ertex
f orm
C. Fast
F ive
( Skills
R eview
F ocus)
2
Solve
t he
e quation:
Factor
3 x
–
x
–
2
=
0
a nd
t hen
s olve
f or
x .
2
0
=
( x
+
2 )
-‐
9
2
2
Expand
t he
e xpression
-‐ 2(x
+
3 )
–
7
Expand
( 4
–
3 x)