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  Pre-Calculus 01
 

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Term II, 2007-08

January   February
Sun Mon Tue Wed Thur Fri Sat   Sun Mon Tue Wed Thur Fri Sat
    1 2 3 4 5             1 2
6 7 8 9 10 11 12   3 4 5 6 7 8 9
13 14 15 16 17 18 19   10 11 12 13 14 15 16
20 21 22 23 24 25 26   17 18 19 20 21 22 23
27 28 29 30 31       24 25 26 27 28 29 30

Color-Coded Legend for Special Schedules:

No School 1:30 Dismissal 1:10 Dismissal
Noon dismissal Class Meetings First Friday/Liturgy
Grades Close Exams Regular Schedule

 

March   April
Sun Mon Tue Wed Thur Fri Sat   Sun Mon Tue Wed Thur Fri Sat
            1       1 2

3

4 5
2

3

4 5 6 7 8   6 7 8 9 10 11 12
9 10 11 12 13 14 15   13 14 15 16 17 18 19
16 17 18 19 20 21 22   20 21 22 23 24 25 26
23 24 25 26 27 28 29   27 28 29 30      
30 31                          

Color-Coded Legend for Special Schedules:

No School 1:30 Dismissal 1:10 Dismissal
Noon dismissal Class Meetings First Friday/Liturgy
Grades Close Exams Regular Schedule
Holiday Hill    

 

May   June
Sun Mon Tue Wed Thur Fri Sat   Sun Mon Tue Wed Thur Fri Sat
        1 2

3

  1 2

3

4 5 6 7
4 5 6 7 8 9 10   8 9 10 11 12 13 14
11 12 13 14 15 16 17   15 16 17 18 19 20 21
18 19 20 21 22 23 24   22 23 24 25 26 27 28
25 26 27 28 29 30     29 30 31        
Date Class Topic Assignment

8/27/07

(A-C-E)

Introduction to the course:  syllabus, book, notebook, calculator.  SETS  Prerequisites, chapter P.1, page 4.  Notation and definition of sets.  Venn diagrams.  Sets of REAL NUMBERS! look, carefully at the sets of numbers listed on page 6.  Notice the symbol used to designate each subset of the sets of real numbers

8/29/07

(A-C-E)

P.2  Exponents and scientific notation.  simplifying algebraic expressions with exponents involved. page 25

8/31/07

(A-C-E)

QUIZ on exponents and sets and scientific notation. 
section P.3  Radical expressions and rational exponents.
page 39
Date Class Topic Assignment

9/5/07

(A-C-E)

  • quiz on simplifying exponential and radical expressions

  • interval notation:  graphing intervals on the number line, and using brackets and parentheses to describe intervals

Next class we will have a quiz on interval notation and inequality notation and graphing sets of numbers on the number line using parentheses and brackets.

9/7/07

(A-C-E)

quiz on interval notation, set-builder notation and graphing intervals on the number line

chapter 1.1:  Coordinate system

WE WILL LOOK AT THE GRAPHING FUNCTIONS ON THE CALCULATOR!  bring your calculator!!

 

click here for class notes

read CAREFULLY!! pages 132-134

pg.  135-136
problems:  41-46 & 61, 62

9/11/07

(A-C-E)


Tuesday

Quick review of homework

R  Functions in chapter 1.2

R  We put on the board:  checkpoint 4 on page 143 and from pages:  149-150 problems:  28-38

R  A very quick discussion on domain and range of a function from the graph

Assignment: 
look carefully  at
page 148 & on  
Page:  151 #’s 77-84

We will go over the

domain and range of a function from the graph, and then have a short

QUIZ on evaluating functions taken from the problems on the board
and finding domain and range from the graph.

 

9/13/07
(A-C-E)


Thursday

R     Review of domain and range on the graph.

R     Quiz on function evaluation and finding domain and range from the graph

 

  • R     During the last 15 minutes I put the difference quotient on the board and did
     example 1 on the bottom of page 155

Assignment:  do the checkpoint 1
on the bottom of
page 155  also:

   
 Pg.  163 
problems:  3 & 1

 

9/17/07(A-C-E)


Monday

  • go over the difference quotient problems in section 1.3

  • we put difference quotient problems on the board:  checkpoint 1  page 155

                   pg.163 problems:  6-16 even

  • relative max and relative min

  • even odd functions and symmetry

  • increasing and decreasing functions

  • pg:  163-164

  • problems:  29-38, 41, 45, 47

9/19/07
(A-C-E)


Wednesday

  • continue in chapter 1.3

  • prepare for test probably on Tuesday next week

  • chapter 1.4:  slope of a line  PROGRAM OF SLOPE IN CALCULATOR

  • equations of line

pg:  206

problems:  53-56, 67-70

9/21/07
(A-C-E)


Friday

  • review homework from last class

  • graph the transformations of the common functions

  • we graphed the transformation graphs in class

  • a quick review of the reflections of graphs around the x and y axis

make sure you know how to do these graphs!!! the test graphs will be chosen from them

pages:  206 & 207

 

#'s  53-60 ( do 57 & 58 for class)

67-74 ( do 71 and 73 for class)

81-90 ( do 87 & 88 for class )

95 - 100 ( do 99 and 100 for class)

 

remember, TEST  on Thursday next week.

 

9/25/07
(A-C-E)


Tuesday

  • need to go over the average rate of change!!!!!!

  • graph the transformations of the common functions:  quadratic, cubic, square root and absolute value

prepare for the test on Thursday

  • difference quotient

  • increasing/decreasing

  • rel. max. and rel. min with and without the calculator

  • graphing transformations of functions

9/27/07(A-C-E)


Thursday

test on:

difference quotient

max and min

inc. and dec.

even odd functions

graphing transformations

equations of lines

 

slope of a line and average rate of change

Date Class Topic Assignment
10/1/07
(A-C-E)

Monday

Chapter 1.4:  Slope of a line

  • finding slope

  • point-slope equation of a line

  • slope-intercept equation of a line

  • finding the y-intercept and slope

pg. 179   problems:  37, 38

pg. 191   problems:  13, 18

10/3/07
(A-C-E)

Wednesday

review of homework

quiz on writing the equation of a line given a point and a slope or two points

 

SAT geometry review packet

SAT Princeton Review practice test 3

 

SAT review sheets

10/5/07
(A-C-E)

Friday

REVIEW FOR SAT

programs in the calculator

 

10/10/07
(A-C-E)

Wednesday

CHAPTER 1.7

  • DOMAIN of functions:  chapter 1.7

  • we found domain algebraically and wrote the domain in interval or set-builder notation

in class we put on the board:

pg. 219

     #'s  7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

assignment

  •  page 219-220

  • problems:  26-30

QUIZ on the finding the domain of functions

 

 

 

 

10/12/07(A-C-E)

Friday

review the homework

  • quiz on finding the domain of a function

operations on functions:

  • adding, subtracting, multiplying, dividing

  • COMPOSITION OF FUNCTIONS

assignment:

read  CAREFULLY! pg. 218 example 5

do checkpoint 5 on the bottom of the page

 

pg. 220

problems  52, 53, 59

10/16/07 (A-C-E)

Tuesday

review the homework

  • operation of functions problems:  complete the section on operation of functions:  chapter 1.7

  • DOMAIN OF COMPOSITION OF FUNCTIONS

  • in class:  we did

PROBLEMS ON THE BOARD:  53, 54, 55, 57, 58, 59, 61, 62, 63

 

begin the inverse function section in chapter 1

chapter 1.8

find and graph the inverse of a function

 

pg. 231

problems:  65-80

 

 

10/18/07(A-C-E)

Thursday

complete the section on inverse functions, chapter 1.8

take home test on composition of functions and inverse functions

10/22/07(A-C-E)

Monday

chapter 1.9

  • distance and midpoint formulas

  • program the equations into the calculator

  • equations of circles

pg. 240

  • in class we did:  34, 36, 38, 42,

  •  44, 46, 52, 54, 57, 58

  • for homework:  make sure you can do 37, 39, 41, 45, 47 and

  • especially!!!  60, 61, 62, 68

  • possible QUIZ on circles

 

 

10/24/07(A-C-E)

Wednesday

Finding equations of a circle

using equations of a circle to graph the circle

begin chapter 1.10, modeling with Functions

10/26/07(A-C-E)

Friday

GRADES CLOSE

continue with chapter 1.10

  • problems at the end of chapter 1.10 - as many on the board as we can get.

problems at the end of chapter 1.10

 

  • pg. 250-251

  • problems: 1, 3, 5, 11

 

10/30/07(A-C-E)

Tuesday

Modeling with functions chapter 1.10

  • we put the homework problems on the board

  • we went over the examples in the book on the geometry word problems

  • pg. 257

  • problems:  16, 18, 22, 26, 30, 36

Date Class Topic Assignment
11/01/07 (A-C-E)

Thursday

liturgy

noon dismissal

25 minute class

  • we went over number 16 on page 257 and talked about number 30

we will go over the problems at the end of chapter 1.10

11/5/07(A-C-E)

Monday

we will go over the problems that were assigned last Tuesday for Thursday

  • also try problems:  31 (or 32)  37(or 38)

Next class we will have a test on the word problems

11/7/07(A-C-E)

Wednesday

test on modeling functions from chapter 1.10

class meetings

next class we will begin chapter 2: quadratic functions

11/9/07(A-C-E)

Friday

chapter 2.1

  • complex numbers

  • operations with complex numbers

  • QUADRATIC FORMULA

  • solving quadratic equations

good luck with Beauty and the Beast

11/14/07(A-C-E)

Wednesday

review homework
  • problems using the QUADRATIC FORMULA solving quadratic equations
  • pg. 284
  • problems:  18, 25, 29, 30, 59
11/16/07(A-C-E)

Friday

complete chapter 2.2:  Quadratic functions

  • we reviewed the homework and looked at some application problems

  • problems 60, 62, and 64 in the book are good examples

quiz next class on quadratic problems from chapter 2.2

  • similar problems to problems in chapter 2.2 that we have done either in class or for homework

11/20/07(A-C-E)

Tuesday

quiz on chapter 2.2

  • review typical problems first and then do the quiz

happy thanksgiving

  THANKSGIVING VACATION  
11/26/07(A-C-E)

Monday

NO SCHOOL

.

11/28/07(A-C-E)

Wednesday

Chapter 2.3

  • Polynomial Functions

  • leading coefficient test

  • Zeros of Polynomial Functions

Homework will be checked on a regular basis, with some problems occasionally turned in for grading. 

The handed in problems will also need to be answered in a logical and readable form.  An example was handed out in class today.

 

problems at the end of chapter 2.3

  • pg.  297-298

  • 19-24

  • 32 and 48 to hand in:  for these two, find the zeros and any appropriate points and using the leading coefficient test, graph the functions

11/30/07(A-C-E)

Friday

Check Homework!

  • review assignment

  • complete 2.3 and graphing polynomial functions

  • Intermediate Value Theorem

quiz at the beginning of next class on chapter 2.3

  • intermediate value theorem

  • graphing a polynomial function using the leading coefficient test, the zeros, the y-intercept, and any other points necessary

Date Class Topic Assignment
12/4/07(A-C-E)

Tuesday

quiz on chapter 2.3

  • graphing polynomial functions using the leading coefficient test, the zeros, the y-intercept, any other points needed

onto 2.4:  long division of polynomial functions

problems at the end of chapter 2.4

  • pg. 310

  • HAND IN:  6, 8, 12

12/6/07(A-C-E)

Thursday

continue in chapter 2.4

  • long division of polynomial functions

  • synthetic division of polynomial functions

  • remainder and factor theorems

we put several problems on the board from the end of section 2.4 (pg. 310)

we will do a QUIZ at the beginning of class based on the problems at the end of chapter 2.4 that we put on the board:

  • 27, 28, 29, 30, 37, 38, 39, 41, 43, 44, 45

12/10/07(A-C-E)

Monday

Noon Dismissal

quiz at the beginning of class.

problems will be chosen from the problems on the board last class, listed in the assignment section from Thursday.

begin chapter 2.5 next class:  zeros of polynomial functions

12/12/07(A-C-E)

Wednesday

Chapter 2.5:  zeros of polynomial functions

  • rational zeros theorem

  • Fundamental Theorem of Algebra

  • Linear Factorization Theorem

problems at the end of chapter 2.5

  • pg. 322

  • 26, 29, 31

send synthetic division program to the calculators

12/14/07(A-C-E)

Friday

  • continue in chapter 2.5.

  • finding the function given the zeros

  • finding the zeros given the function

 

problems at the end of chapter 2.5

  • pg. 322

  • problems:  45, 46, 49

12/18/07(A-C-E)

Tuesday

review problems at the end of chapter 2.5

  • send allquads program to the class

problems at the end of chapter 2.5 finding zeros of a function and given the zeros find the function

 

take home quiz due on thursday

12/20/07(A-C-E)

Thursday

collect take home quiz

  • rational functions 2.6

onto chapter 2.6 next class, rational functions

Date Class Topic Assignment
1/3/08 (A-C-E)

Thursday

graphing rational functions

  • domain

  • vertical asymptotes

  • horizontal asymptotes

  • few critical points

take home graphs of rational functions

  • pg. 343

  • problems 64, 68

1/7/08
(A-C-E)

Monday

collect take home rational function graphs and do them on the board

  • talk about where we are and what will be on the midterm

list of problems for the midterm

1/9/08
(A-C-E)

Wednesday

list of problems for the midterm

prepare for the mid-term exam TOMORROW!!!!!

1/10/08
(A-C-E)
A-1   8:00 am   Midterm  
1/11/08
(A-C-E)
   
Date Class Topic Assignment

1/17/08

(C)

 

Thursday

Graphing rational functions

  • chapter 2.6

  • graphed in class rational functions where the degree of the numerator is greater than the degree of the denominator.

  • in the book, page 343 problems 71-78

Graphing rational functions QUIZ at the beginning of class.

 

Graphs will be similar to the graphs we did in class:  pg. 343 problems 71-78

1/22/08

(E)

 

Tuesday

quiz on graphing rational functions with slant asymptotes

  • Chapter 2.7  solving polynomial inequalities

  • use the boundary points and the table to find the correct solution intervals

problems at the end of chapter 2.7:  solving polynomial inequalities

  • in class we did a selection of problems from the end of the section.  pg.  345  problems:  8, 10, 14, 18, 20, 32, 36

make sure you can do the ones we tried in class and:

  • pg. 345

  • problems:  13, 19, 21, 27, 33, 35

are also problems to be able to do at the end of 2.7

 

1/24/08

(A)

 

Thursday

review of the technique for solving polynomial inequalities

 

QUIZ

on solving the polynomial inequalities we practiced - the last half of class

next class:  variation problems in chapter 2.8

quiz at the beginning of class solving polynomial inequalities

1/28/08

(C)

 

Monday

quiz at the beginning of class solving polynomial inequalities

chapter 2.8:  solving variation problems

read CAREFULLY chapter 2.8 pages 357-359

  • do checkpoint 1 page 359

  • pg: 364:  problems 1, 2, 21, 22

1/30/08

(E)

 

Wednesday

variation problems  finish 2.8

complete the take home quiz for next class

Date Class Topic Assignment

2/1/08

A

First Friday

 

Friday

onto chapter 3: exponential functions

  • we graphed versions of the exponential function with base two and...

  • quickly looked at the two equations for investment

pg. 385-386

problems:  53, 54, 65, 66, 73

  • QUIZ after we go over the problems

2/5/08

(C)

 

Tuesday

quiz on investment problems and exponential growth problems like the assignment

  • onto logarithms in chapter 3.2

  • special attention to the properties of logarithms

problems at the end of 3.2

  • pg. 397

  • problems 1-20

 

2/7/08

(E)

 

Thursday

finish 3.2: 

  • writing logarithms as exponential expressions and writing exponential expressions as logarithmic expressions

  • evaluating logarithms without the calculator

quiz next class on chapter 3.2 and the problems on the worksheet

2/11/08

(A)

 

Monday

  • quiz on writing logarithms as exponential expressions and vice versa, and evaluating, without the calculator, some simple logarithmic expressions

onto chapter 3.3:  more properties of logarithms

on page 407

finish the problems we began in chapter 3.2 on expanding logarithmic expressions.

  • do problems 29-36

we did 2-28 on the board before the end of class

2/13/08

(C)

 

Wednesday

we worked on expanding logarithmic expressions.

  • we then did problems condensing logarithmic expressions. 

  • we put problems on the board that are on page 408

  • problems:  51-61

for Friday:  finish the condensing problems on page 408

  • problems:  62-70

2/15/08

(E)

 

Friday

review the assignment

  • Change of Base Formula

have a nice break

  WINTER BREAK (February 18-22)  

2/26/08

(A)

 

Tuesday

Lesson Unit/Topic

  • review the topics on logarithms

  • go onto chapter 3.4:  exponential and logarithmic equations

problems from the end of chapter 3.4

  • pg. 419

  • problems: 

2/28/08

(C)

 

Thursday

complete section 3.4:  solving exponential and logarithmic equations

take home test for Monday on soling exponential and logarithmic equations.

Date Class Topic Assignment

3/3/08

(E)

 

Monday

Hand in the take home test on solving exponential and logarithmic equations

  • chapter 3.5:  exponential Growth and Decay models.

Problems at the end of chapter 3.5:  page 433-434

  • problems:  1-6, 10, 11, 14, 15

3/5/08

A

1:10 dis.

 

Wednesday

Finish the section on growth and decay.

next class we will have a quiz on chapter 3.5-possibly

  • assignment:  pg. 435

  • problems 36-39

3/7/08

C

First Friday

 

Friday

review homework

 

Ch 3.5 quiz

take home

  • finish take home quiz for next class

next class we will start chapter 4:  Trigonometry

3/11/08

(E)

 

Tuesday

Chapter 4.1  Angles and Radian measure

  • angles

  • measuring angles using degrees and radians

  • conversion bet