Unit 3 '- Quadratric Functions - Im3 Lesson 3: Working With Quadratic Models In Vertex Form Worksheet

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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)
 
 
 
 
 
 

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