ch.8 rational functions.notebookimages.pcmac.org/sisfiles/schools/tn/hamblencounty/morristown… ·...
TRANSCRIPT
Ch.8 Rational Functions.notebook
1
December 12, 2013
Dec 48:51 AM
Bellwork
Simplify the following fractions.1. 2/4
2. 3/9
3. x/x2
4. 8/2
5. 6x2/2x
Ch.8 Rational Functions.notebook
2
December 12, 2013
Dec 412:08 PM
Objective
To graph reciprocal functions.
To graph translations of reciprocal functions.
Ch.8 Rational Functions.notebook
3
December 12, 2013
Dec 48:03 AM
Ch.8 Rational Functions.notebook
4
December 12, 2013
Dec 48:50 AM
Ch.8 Rational Functions.notebook
5
December 12, 2013
Dec 48:51 AM
Ch.8 Rational Functions.notebook
6
December 12, 2013
Dec 49:12 AM
Ch.8 Rational Functions.notebook
7
December 12, 2013
Dec 49:12 AM
Ch.8 Rational Functions.notebook
8
December 12, 2013
Dec 49:13 AM
Ch.8 Rational Functions.notebook
9
December 12, 2013
Dec 411:03 AM
Ch.8 Rational Functions.notebook
10
December 12, 2013
Dec 48:51 AM
Bellwork
Simplify the following fractions.1. 7/7
2. x/x3
3. x7/x2
4. 8xy2/2y
5. 2x/6x2
6. Cat/Cat
Ch.8 Rational Functions.notebook
11
December 12, 2013
Dec 48:51 AM
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)
Ch.8 Rational Functions.notebook
12
December 12, 2013
Dec 49:13 AM
Ch.8 Rational Functions.notebook
13
December 12, 2013
Dec 57:40 AM
Objective
To identify properties of rational functions.
To graph rational functions.
Ch.8 Rational Functions.notebook
14
December 12, 2013
Dec 57:41 AM
Ch.8 Rational Functions.notebook
15
December 12, 2013
Dec 58:00 AM
We are going to be using ratios of polynomial functions.
Ch.8 Rational Functions.notebook
16
December 12, 2013
Dec 58:00 AM
Ch.8 Rational Functions.notebook
17
December 12, 2013
Dec 58:01 AM
Ch.8 Rational Functions.notebook
18
December 12, 2013
Dec 58:01 AM
Ch.8 Rational Functions.notebook
19
December 12, 2013
Dec 58:09 AM
Ch.8 Rational Functions.notebook
20
December 12, 2013
Dec 58:10 AM
Ch.8 Rational Functions.notebook
21
December 12, 2013
Dec 58:10 AM
Ch.8 Rational Functions.notebook
22
December 12, 2013
Dec 58:10 AM
Ch.8 Rational Functions.notebook
23
December 12, 2013
Dec 58:10 AM
Ch.8 Rational Functions.notebook
24
December 12, 2013
Dec 58:11 AM
Ch.8 Rational Functions.notebook
25
December 12, 2013
Dec 58:12 AM
Ch.8 Rational Functions.notebook
26
December 12, 2013
Dec 58:12 AM
Ch.8 Rational Functions.notebook
27
December 12, 2013
Dec 58:12 AM
Ch.8 Rational Functions.notebook
28
December 12, 2013
Dec 99:08 AM
Agenda1 Ringer Activity2 Look at our last problem.3 What we want to answer in this unit.4 Standards/Objectives5 Lesson6 Classwork
Ch.8 Rational Functions.notebook
29
December 12, 2013
Dec 97:50 AM
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.
Ch.8 Rational Functions.notebook
30
December 12, 2013
Dec 57:41 AM
Ch.8 Rational Functions.notebook
31
December 12, 2013
Dec 97:55 AM
Ch.8 Rational Functions.notebook
32
December 12, 2013
Dec 97:56 AM
Objectives
To simplify rational expressions.
To multiply and divide rational expressions.
Ch.8 Rational Functions.notebook
33
December 12, 2013
Dec 97:50 AM
Ch.8 Rational Functions.notebook
34
December 12, 2013
Dec 911:23 AM
Factor / Division / Simplification / Multiplication
Step 1: Factor
Step 2: Division *use reciprocal*
Step 3: Simplify *include restrictions*
Step 4: Multiply
Ch.8 Rational Functions.notebook
35
December 12, 2013
Dec 97:51 AM
Ch.8 Rational Functions.notebook
36
December 12, 2013
Dec 97:51 AM
Ch.8 Rational Functions.notebook
37
December 12, 2013
Dec 97:52 AM
Ch.8 Rational Functions.notebook
38
December 12, 2013
Dec 911:00 AM
Homework
P.530 # 1 26
Ch.8 Rational Functions.notebook
39
December 12, 2013
Dec 97:55 AM
Ch.8 Rational Functions.notebook
40
December 12, 2013
Dec 48:51 AM
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
Ch.8 Rational Functions.notebook
41
December 12, 2013
Dec 109:12 AM
Itinerary 1 Announcements2 Homework3 Objectives/Standards4 Lesson5 Practice
Ch.8 Rational Functions.notebook
42
December 12, 2013
Dec 99:30 AM
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.
Ch.8 Rational Functions.notebook
43
December 12, 2013
Dec 107:39 AM
Objective:Add and subtract rational expressions.
Ch.8 Rational Functions.notebook
44
December 12, 2013
Dec 108:46 AM
Ch.8 Rational Functions.notebook
45
December 12, 2013
Dec 107:43 AM
Ch.8 Rational Functions.notebook
46
December 12, 2013
Dec 107:45 AM
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.
Ch.8 Rational Functions.notebook
47
December 12, 2013
Dec 1011:11 AM
- 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
Ch.8 Rational Functions.notebook
48
December 12, 2013
Dec 107:48 AM
Ch.8 Rational Functions.notebook
49
December 12, 2013
Dec 107:49 AM
Ch.8 Rational Functions.notebook
50
December 12, 2013
Dec 107:49 AM
Ch.8 Rational Functions.notebook
51
December 12, 2013
Dec 107:49 AM
** Multiply the numerator and denominator by the LCD of all "interior" fractions.
Ch.8 Rational Functions.notebook
52
December 12, 2013
Dec 101:13 PM
P. 539 #15 odd # 828 even
Ch.8 Rational Functions.notebook
53
December 12, 2013
Dec 122:23 PM
Ch.8 Rational Functions.notebook
54
December 12, 2013
Dec 48:51 AM
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
Ch.8 Rational Functions.notebook
55
December 12, 2013
Dec 118:10 AM
Itinerary1 Announcements2 Standards3 Lesson4 Problem5 Practice
Ch.8 Rational Functions.notebook
56
December 12, 2013
Dec 99:30 AM
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.
Ch.8 Rational Functions.notebook
57
December 12, 2013
Dec 117:54 AM
Objectives:
To solve rational equations.
To use rational equations to solve problems.
Ch.8 Rational Functions.notebook
58
December 12, 2013
Dec 117:50 AM
Ch.8 Rational Functions.notebook
59
December 12, 2013
Dec 117:47 AM
Ch.8 Rational Functions.notebook
60
December 12, 2013
Dec 117:51 AM
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.
Ch.8 Rational Functions.notebook
61
December 12, 2013
Dec 117:48 AM
Ch.8 Rational Functions.notebook
62
December 12, 2013
Dec 117:50 AM
Ch.8 Rational Functions.notebook
63
December 12, 2013
Dec 117:49 AM
Ch.8 Rational Functions.notebook
64
December 12, 2013
Dec 1212:02 PM
Ch.8 Rational Functions.notebook
65
December 12, 2013
Dec 122:22 PM
Ch.8 Rational Functions.notebook
66
December 12, 2013
Dec 1211:49 AM
Review Problems
P. 554 #1133 ODDS