day 13 u2 completing the square.notebook€¦ · 10/2/2016  · day 13 u2 completing the...

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DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute and Simplify: 5) [(x-2)+5][(x-2)-5] PI 3 or PI 4 retake PI 3: Domain and Range . PI 4: Inverse Functions.

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Page 1: DAY 13 U2 Completing the Square.notebook€¦ · 10/2/2016  · DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute

DAY 13 U2 Completing the Square.notebook

1

October 20, 2015

CLASS OPENER (Do NOW):  

DAY 13 October 19/20, 2015

Distribute and Simplify:

5) [(x-2)+5][(x-2)-5]

PI 3 or PI 4 retake PI 3: Domain and Range . PI 4: Inverse Functions.

Page 2: DAY 13 U2 Completing the Square.notebook€¦ · 10/2/2016  · DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute

DAY 13 U2 Completing the Square.notebook

2

October 20, 2015

CHAPTER 2: POLYNOMIAL FUNCTIONSLesson 2.1. QUADRATIC FUNCTIONS‐ COMPLETING THE SQUARE

To write a standard equation of a parabola in the vertex form, completing square method is used. Listed on "7 methods to solve a quadratic". How does completing the square work???

WHAT IS A PERFECT SQUARE??? is  x2­9   a perfect square? 

What numerical values are perfect squares? 

So, can we come up with a polynomial that would be a perfect square??

Page 3: DAY 13 U2 Completing the Square.notebook€¦ · 10/2/2016  · DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute

DAY 13 U2 Completing the Square.notebook

3

October 20, 2015

Perfect square or not? 

81        ­16 9/16

x2+6x+9 x2­4x+4

x2+2x+4 x2+x+1/4

4x2­4x+1 x2+3x­6

x2­16 x2+12x+36

x2­2/3x+4/9 x2­2x+1

x2+___+ 36 x2­2x ____

x2+2x____ x2+1/4x ____

x2___+25 x2____­25

x2­5x ____ x2+3x ____

x2­1/2x ____ x2­7x_____

Fill in the blank to make a perfect square:

)

)

Page 4: DAY 13 U2 Completing the Square.notebook€¦ · 10/2/2016  · DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute

DAY 13 U2 Completing the Square.notebook

4

October 20, 2015

Page 5: DAY 13 U2 Completing the Square.notebook€¦ · 10/2/2016  · DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute

DAY 13 U2 Completing the Square.notebook

5

October 20, 2015

Page 6: DAY 13 U2 Completing the Square.notebook€¦ · 10/2/2016  · DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute

DAY 13 U2 Completing the Square.notebook

6

October 20, 2015

Page 7: DAY 13 U2 Completing the Square.notebook€¦ · 10/2/2016  · DAY 13 U2 Completing the Square.notebook 1 October 20, 2015 CLASS OPENER (Do NOW): DAY 13 October 19/20, 2015 Distribute

DAY 13 U2 Completing the Square.notebook

7

October 20, 2015

OTL: 

QUIZ 2.1. PI 5 practice QUADRATICS CHALLENGE MANDATORY!