8/28/07

(B-D-F)

see the class notes for the assignment

8/30/07

(B-D-F)

page 25

9/4/07

(B-D-F)

QUIZ on sets, exponents.  Section P.3  radicals and Rational Exponents.  CALCULATOR  use for these techniques.

page 39

9/6/07

(B-D-F)

interval notation on the number line

polynomial functions

pg. 49

9/10/07

(B-D-F)

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

• the important concept of the x and y intercept on the coordinate system

pg. 135

problems:  41-46

9/12/07

(B-D-F)

Hand back the quiz

Review homework

Functions in chapter 1.2

We put checkpoint 4 in section 1.2 on the board and:

Pages 149-150   problems:  28-38

Next class:  Any Question on the problems we put on the board last class??????

QUIZ after open question section on selections from these problems

9/14/07
(B-D-F)

Friday

R     Quiz at the beginning of class evaluation functions

R     After the quiz, a look at domain and range from seeing the graph

R     A quick look at the difference quotient

.

Assignment:  pg. 151  problems:  77-84

 Pg. 163  problem   9

9/18/07
(B-D-F)

Tuesday

• go over the homework

• difference quotient from the homework

• we put difference quotient problems on the board from the book.  Each student put one problem on the board:   page 163

•                      problems: 5-16

• continue chapter 1.3 on function

• increasing/decreasing:  talked briefly about increasing/decreasing functions at the end of class

read CAREFULLY page 157 and then...

• page:  163-164

• problems:  29-37

9/20/07
(B-D-F)
Thursday

• review of homework:  increasing and decreasing intervals for functions

• continue with the function properties in chapter 1.3...

• relative max and relative min

• (use of the calculator to find maximum and minimum)

• even odd functions

• pg. 164

• problems:  44, 46, 48, 50, 54

        even / odd

9/24/07
(B-D-F)
Monday

• review of even/odd functions

• we put the problems from homework on the board

• look at the calculator and how to find max and min.  

• discussion of what is going to be on the test on Friday

Read CAREFULLY pg. 156:  Piecewise functions.

pg. 166   do 73 & 74

TOPICS FOR THE TEST ON FRIDAY

• vertical line test for functions:  pg. 145 section 1.2

• Domain and Range from the graph of a function.  pg. 147 section 1.2

• in chapter 1.3

•    difference quotient

•    increasing/decreasing of a graph of a function

•    relative maximum and relative minimum on a graph

• even/odd functions

9/26/07
(B-D-F)

Wednesday noon dismissal

• go over the homework from last class

• review of the topics for the test on Friday

• study for the test on Friday

9/28/07
(B-D-F)

Friday

TEST on properties of functions

chapter 1.4:  slope and graphing of a line

Tuesday

chapter 1.4:  linear functions and slope

• program in the equation for slope in the calculator

• definition of slope

• positive, negative, zero, and undefined slope

• point slope equation of a line

• problems at the end of chapter 1.4 on writing equations of lines given the slope and y intercept, or two points, or a point and the slope.

handout SAT review sheets, and do practice test #3 for Thursday

Thursday

SAT practice:

make sure we program in the useful programs for the SAT Exam.

prepare for the SAT

Tuesday

• chapter 1.4   writing the equation of a line given a point and the slope or given two points
• chapter 1.5:  average rate of change

prepare for a quiz on Thursday on writing the equation of a line given two points or a point and slope, and average rate of change

Thursday

• writing the equations of a line
• average rate of change

graphing in chapter 1.6:  graph by shifting and reflecting graphs

DEDICATION FOR NEW LABS:  CLASS INTERRUPTED

read pages 194-196

vertical shifts of graphs

Monday

• GRAPH THE COMMON FUNCTIONS
• GRAPH IN CLASS THE VERTICAL AND HORIZONTAL SHIFTS OF THE COMMON FUNCTIONS

graphs of the common functions at the end of 1.6

pg. 206-207

problems:  57, 58, 71-74, 89, 90,

• note:  for 65 and 66, eliminate the coefficient 2 and just graph the graph with the negative sign

Wednesday

SENIORS NOT IN CLASS

Friday

collect take home test

begin the operations on functions

• chapter 1.7

• properties and operations on functions

next class we will look at the operations of functions

Tuesday

CHAPTER 1.7

operations on functions

domain of functions

problems at the end of chapter 1.7

pg:  219-220

we put these problems on the board and next class you will have to hand in a selection of problems from this group.

problems:  7-30

Thursday

Composition of functions in chapter 1.7

• finding the composition of functions

• finding the domain of composition of functions

complete chapter 1.8

test or quiz or take home next class.

Monday

inverse functions

• chapter 1.8

• finding inverse functions

• verifying two functions are inverses of each other

we will have a quiz on finding the inverse of a given function, and then we will look at circles

Wednesday

finish inverse functions

• quiz on inverse functions

• distance formula and midpoint formula

• intro to the equation of circles

• pg. 239-240

• problems:  8, 10, 20, 24, 34, 36, 44

Friday

 chapter 1.9

• Distance, Midpoint and equations of Circles

• we put some problems from the end of chapter 1.9 on the board:  distance formula

• I demonstrated the example in the book on writing the standard form of a circle from the general form by completing the square

pg. 239 & 240

problems 49 & 50

• we will also go over the previous problems that we didn't get to last class

Tuesday

• review the homework:  especially completing the square

• do more completing the square problems

next class:  TEST on chapter 1.9:  circles

• modeling problems with functions

Thursday

test on chapter 1.9 - circles

• noon dismissal

play this weekend

good luck with Beauty and the Beast

Tuesday

we started on chapter 2.2 and will go back to 2.1 next class

• graphing quadratic function by finding the vertex and finding the x and y-intercepts

pg. 284

problems 17,18

• next class we will go back to 2.1 and look at the complex numbers and the quadratic formula

Thursday

review the homework:

• Problems from chapter 2.1: 

• USING QUADRATIC FORMULA

pg. 284

problems 29, 30, 33, 34

Monday

Thanksgiving Liturgy

probable quiz on chapter 2.1 and 2.2

• after reviewing the homework: 

• quiz:   given a quadratic function find the intercepts and vertex and axis of symmetry and graph the function.

• also the domain and range of a graphed quadratic function

• use the quadratic formula to find the roots (solutions) of a quadratic equation

we will do this at the end of class

onto chapter 2.3

polynomial functions

Wednesday

Noon Dismissal

• after reviewing the homework: 

• quiz:   given a quadratic function find the intercepts and vertex and axis of symmetry and graph the function.

• also the domain and range of a graphed quadratic function

• use the quadratic formula to find the roots (solutions) of a quadratic equation

Happy Thanksgiving

Tuesday

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.

For Thursday to hand in

pg 298  problems 32, 48

• find the zeros ( x-intercepts)

• y-intercept

• plot the intercepts and use the end behavior to graph the functions in 32 and 48

• you may have to get a few other points between the zeros to get a nice curve

also, do 19-24 on page 297,298.  These do not have to be handed in but will be checked.

Thursday

CHECK ASSIGNMENT!

• review homework

• continue in chapter 2.3, especially finding the zeros of a function, multiplicity of zeros, intermediate value theorem

continue with problems at the end of chapter 2.3

NEXT CLASS

quiz on

• graphing polynomial functions without the calculator by finding the zeros and using the leading coefficient test

• using the Intermediate Value Theorem to decide if a zero exists between two x values

Monday

QUIZ on 2.3

• polynomial LONG division and

•    chapter 2.4

long division problems on page 310

• hand in 6 and 10

• also do 5 and 9 and they will be checked

Wednesday

continue on chapter 2.4: 

• polynomial long division

• Division Algorithm

• SYNTHETIC DIVISION

more problems on pages 310

• 33-38  evaluating a function for a certain variable using synthetic division

Friday

chapter 2.4:  finish the topics in this chapter

• long division of polynomials

• synthetic division of polynomials

• remainder and factor theorem

assignment pages 310

make sure we go over problems 41-44

• on page 322, list the possible rational zeros of the function in the problem

Tuesday

check homework

• linear factorization theorem

problems at the end of ch. 2.5

pg. 322

• problems 25-29

• problems: 39 & 43

USE YOUR CALCULATOR FOR 39 AND 43 TO START 39 AND 43 -FIND SOME ZEROS (X-INTERCEPTS) TO START, USE SYNTHETIC DIVISION IF NECESSARY, TO FACTOR THE FUNCTION TO THE QUADRATIC, AND SOLVE THE QUADRATIC HOWEVER YOU NEED TO.

Thursday

finding all the complex number zeros of a function

finding all of the possible rational zeros of a function

Monday

in class:  find all zeros of a function.

we began problems 41, 43, 44, 45, 48, 47, 48, 52

• chapter 2.5

pg. 322:

• finish the problems we began last class for Wednesday

Wednesday

work on the problems from last class

finish finding the zeros of polynomial functions

for next class:  bring to class the handout quiz - take home

Friday

noon dismissal

hand in the take home quiz

we will look at the midterm topics after break

Merry Christmas

Friday

Finish the topics in chapter 2.5

prepare for the midterm:  look at the topics given out in class

Tuesday

Review for the midterm

Prepare for mid-term

Monday

1/18/08

(D)

Friday

We moved to chapter 2.7 and looked at solving polynomial inequalities:

• finding boundary points

• setting up a table

• plotting boundary points on a number line

• choosing a point in each interval and testing it in the polynomial equation for its sign

• choosing the correct intervals as solutions

In class 25 minutes was reserved to practice problems from the selected list under assignments either at the board or at the desks.

For Thursday:

QUIZ

on solving polynomial inequalities

the problems will be selected from, or be very similar to:

• pg. 354

• problems:  5-10, 19, 20, 31-36

1/23/08

(F;1:10)

Wednesday

• quick review of solving polynomial equations and then...

Quiz on solving polynomial inequalities

we will move on to chapter 3

 exponential functions

• you will need your CALCULATOR

• for some of these problems

1/25/08

(B)

Friday

chapter 3:  exponential functions

• graphing exponential functions

• evaluating exponential functions using the calculator

problems from the end of chapter 3.1

• pg. 385

• problems:  54, 55, 65, 66, 73

QUIZ at the end of class evaluating

exponential functions using

the calculator

1/29/08

(D)

Tuesday

CHAPTER 3.2

• logarithms

• writing exponential expressions as logarithms

• writing logarithms as exponential expressions

• common logs and natural logarithms

problems at the end of chapter 3.2

• pg. 397

• problems:  1-20

1/31/08

(F)

Thursday

we continued in chapter 3.2 with logarithms

• in class we put 1-20 (page 397) on the board, and then did the problems up to 40 and put them on the board

do at least the first 20 problems

on the worksheet

I handed out.  If you can finish

all 38, you should.

• we will go over these problems,

• and do a short quiz on

• writing logarithms as

• exponential expressions,

• and exponential

• expressions as logarithms,

• and evaluating logarithmic expressions

• like the

• ones in the book and on the handout.

2/4/08

(B)

Monday

• review the problems on the worksheet

• quiz on the topics covered the last three classes.

• we looked briefly at the product rule and quotient rule

• pg. 407

• problems 1-12

2/6/08

(D; Paraliturgy)

Wednesday

chapter 3.3: properties of logarithms

• product rule

• quotient rule

• power rule

• change of base property

we put several problems on the board at the end of chapter 3.2:  1-24 we reviewed.  The next twelve we didn't take a very close look at, but we did get a start

problems at the end of chapter 3.3

pg. 407

problems:  34-40

2/8/08

(F)

Friday

chapter 3.3:  more problems on using the properties of logarithms

• condensing logarithmic expressions

• change of base formula

next class:  continue the

condensing logarithmic

expressions on page 408

up through problem 68. 

We did 47-58 in class.

2/12/08

(B; Class Mtg)

Tuesday

condensing logarithms in chapter 3.3

we finished the problems 408

problems condensing logs up through 70

• we also looked at the change of base formula and did problems 71-78

we will have a "short" test on

expanding and condensing

logarithms on Thursday

2/14/08

(D)

Thursday

short test on the properties of logarithms...chapter 3.3

have a nice winter break

2/25/08

(F)

Monday

• Chapter 3.4:  solving exponential and logarithmic equations

problems at the end of chapter 3.4

• pg. 419

• problems:  43-48

MAKE SURE YOU LOOK CAREFULLY AT

EXAMPLE 5 ON PAGE 413

2/27/08

(B; Noon)

Wednesday

• complete chapter 3.4:  exponential and logarithmic equations

take home "test" due on Tuesday

• look at some of these problems soon,

•  so you don't get stuck on Monday

•  trying to do all of them.

2/29/08

(D)

Friday

Senior Retreat

3/4/08

(F)

Tuesday

hand in take home

• chapter 3.5  growth and decay models

• pg. 433-434

• problems:  1-6, 9, 11, 15

3/6/08

(B)

Thursday

quiz on chapter 3.5

growth and decay and logistic equations

next class we will start chapter 4

3/10/08

(D)

Monday

quiz on growth and decay

next class we will start chapter 4,

trigonometry.

3/12/08

(F)

Wednesday

Chapter 4.1

• Angles and their measures

• measurement of angles:  degrees to radians and radians to degrees

problems at the end of chapter 4.1

• pg. 458-459

• 13-40

3/14/08

(B)

Friday

Chapter 4.1

• sketching angles in standard position

• Co-terminal angles

• arc length

problems at the end of chapter 4.1

• pg:  459

• problems:  71-74

• 57-59

• checkpoint #7  pg. 457