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Bellwork

Simplify the following fractions.1.  2/4

2. 3/9

3. x/x2

4. 8/2

5. 6x2/2x

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Objective

To graph reciprocal functions.

To graph translations of reciprocal functions.

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Bellwork

Simplify the following fractions.1.  7/7

2. x/x3

3. x7/x2

4. 8xy2/2y

5. 2x/6x2

6. Cat/Cat

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Bellwork

What x­values is(are) discontinuous?

1.  7/(7+x)

2. x/(x+1)2

3. x7/x

4. 8xy/2

5. 2x/(x­6)(x+2)

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Objective

To identify properties of rational functions.

To graph rational functions.

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We are going to be using ratios of polynomial functions.

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Agenda1 ­ Ringer Activity2 ­ Look at our last problem.3 ­ What we want to answer in this unit.4 ­ Standards/Objectives5 ­ Lesson6 ­ Classwork

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Give­One/Get­One

There are a minimum of 6 vocabulary terms, and at least 4 "formulas or concepts" in this chapter.

Step 1­ Number a sheet of paper from 1 to 10.

­ Fill in the numbers with as many vocabulary terms and "formulas or concepts" that you can remember.  DO NOT USE NOTES OF A BOOK!

Step 2­ Speak with ONLY 5 of you classmates.  You will give 1 them and get 1 term from each of the 5 you speak with.  

Step 3­ We will review terms as a class. 

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Objectives

­ To simplify rational expressions.

­ To multiply and divide rational expressions.

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Factor / Division / Simplification / Multiplication

Step 1: Factor

Step 2: Division *use reciprocal*

Step 3: Simplify *include restrictions*

Step 4: Multiply

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Homework 

P.530 # 1 ­ 26

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Bellwork

Solve the following.1.  2/4 + 3/5

2. 3/4 ­ 4/5 

3. 3/5 + 5/8

4. 7/2 + 6/5

5. 5/2 ­ 7/6

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Itinerary 1 ­ Announcements2 ­ Homework3 ­ Objectives/Standards4 ­ Lesson5 ­ Practice

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Standards

SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.

CCSS A­SSE Interpret the structure of expressions.

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Objective:Add and subtract rational expressions.

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Step 1: Find the prime factors.

Step 2: Write the product of the prime factors, each raised to the greatest power that occurs in either expression.

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- Find LCM to get LCD

- Find by using Prime Factors

Steps

1. Factor

2. Find LCD

3. *Multiply by 1

i.e. perform same action on numerator and denominator

4. Add/Subtract

5. Simplify

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** Multiply the numerator and denominator by the LCD of all "interior" fractions.

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P. 539  #1­5 odd # 8­28 even

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Bellwork

Solve the following for x.1.  2/4 + 3/5 = x/2

2. 3/4 ­ 4/5 = x/3

3. 3/5 + 5/8 = x/2

4. 7/2 + 6/5 = x/5

5. 5/2 ­ 7/6 = x/4

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December 12, 2013

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Itinerary1 ­ Announcements2 ­ Standards3 ­ Lesson4 ­ Problem5 ­ Practice

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December 12, 2013

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Standards

SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.

CCSS A­SSE Interpret the structure of expressions.

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Objectives:

To solve rational equations.

To use rational equations to solve problems.  

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We can boil all of this lesson down into the following set of steps.

1. Find the LCD for all rational expressions, in the rational equation.

2. Multiply Both Sides of the Equation by the LCD

3. Simplify and Solve

4. CHECK YOUR SOLUTIONS! Some may be extraneous.

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Review Problems

P. 554 #11­33 ODDS