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4Simplifying Rational Expressions.notebook 1 August 23, 2013 Target: Simplifying Compound Fracons and Raonalizing Denominators Agenda: Lesson: Practice Purpose: Intro to adding polynomial functions and rational functions Evaluation: 321

Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

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Page 1: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

1

August 23, 2013

Target: Simplifying Compound Fracons and Raonalizing Denominators

Agenda: 

Lesson:

Practice

Purpose:  Intro to adding polynomial functions and rational functions

Evaluation: 3­2­1 

Page 2: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

2

August 23, 2013

Warm­Up

Page 3: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

3

August 23, 2013

What is a Rational Expression?

Page 4: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

4

August 23, 2013

Domain of Rational Expressions

When is it All Real Numbers?

Page 5: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

5

August 23, 2013

Domain of Rational Expressions

When is it All Real Numbers

EXCEPT ONE NUMBER?

Page 6: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

6

August 23, 2013

Domain of Rational Expressions

When does it use inequalities?

Page 7: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

7

August 23, 2013

Simplify the rational expression!

x2+2x ­ 3    3­xx2 ­ 2x ­ 3   3+x

Page 8: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

8

August 23, 2013

Simplify the rational expression!

2x2­3x ­ 2    

2x2 + 5x +2  

x2 ­1  

x2 + x ­2  

Page 9: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

9

August 23, 2013

Simplify the rational expression!

  x 3

x­4  x+6

Page 10: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

10

August 23, 2013

Simplify the rational expression!

xy

x     y

y     x+

Page 11: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

11

August 23, 2013

Rationalizing the Denominator

USING THE CONGUGATE RADICAL!

      2

√3  + √5

  X

4+√X

Page 12: Raonalizing Denominators Agenda: Lesson: Practice Purpose: …misssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/5130940/… · Lesson: Practice Purpose: Intro to adding polynomial

4Simplifying Rational Expressions.notebook

12

August 23, 2013

PracticePg. 41,  #1‐6 all,

7‐56 Do 1 skip 3, 

73‐77

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