8/27/07

(A-C-E)

introduction to the course:  syllabus, book, calculator.  Prerequisites:  SETS:  page 4.  Notation and definition of sets.  SETS OF NUMBERS page 6.  NUMBER LINE

read over the list of subsets of the set of real numbers.  pay special attention to the symbol used for each set

8/29/07

(A-C-E)

Section P.2:  Exponents and exponential notation.  Scientific Notation.  CALCULATOR use for exponents.

page 25

8/31/07

(A-C-E)

page:  39

9/5/07

(A-C-E)

interval notation on the number line

pg. 118

problems:  3, 5, 7, 11, 15, 17, 19

9/7/07

(A-C-E)

quiz on the first topics

graphing lines in Ch. 1.1

intro to the graphing calculator

check the class notes for assignments

9/11/07

(A-C-E)

Tuesday

The class took some time to finish the quiz started last class

R  We looked at the calculator and concentrated on setting the window for a graph and using the table to see sets of values for a graphed equation

click here for class notes

R     Handed back quizzes at the beginning of class

R     Went over function notation and domain of a function

R     Worked problems at the board in class:

Checkpoint 4 on page 143

we will have a quiz at the beginning of class taken from the problems we did at the board

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

• quiz at the beginning of class after a review of the homework

• domain and range from the graph

• a look at the graphs in the book from which we find domain and range of a function

pg.  151
problems:  72-86
   (do a, b, c, & d)
skip part e for the problems

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

pg:  163

Problems:  7, 9, 11

Friday

• continue with the properties of functions in chapter 1.3

pg:  164

problems:  37, 38, 43, 44

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

review and completion of function properties of functions in chapter 1.3

graph a cubic function on the calculator and find the relative max and relative min using the calculator calc function

study for the test on chapter 1.3 on Thursday

• difference quotient

• increasing - decreasing functions

• relative max and relative min from the graph

• even - odd functions

Thursday

• test on chapter 1.3

next class we will begin chapter 1.4:  look at slope and bring your calculator

Monday

Chapter 1.4

• definition of slope pg. 169

• point-slope equation of a line

• slope-intercept equation of a line

pg. 179

we put numbers 12-34 even on the board.

we will go over any of these and do a short quiz on:

• point-slope equation of a line

• slope intercept equation of a line

Wednesday

Review Homework

• finding slope and y-intercept from the equation of a line

• use intercepts to graph lines

• POSSIBLE short quiz on writing the equations of a line like the ones in the book

• hand out geometry review sheet for SAT

• hand out practice test 3 from Princeton Review

review sheets for SAT

Friday

REVIEW FOR SAT

programs in the calculator for the SAT

prepare for a quiz on 1.4 next class

Wednesday

Chapter 1.6

graphing transformations of the common functions

pg. 206-207

graph:  53-56

67-70

81-84

95-98

probable QUIZ on graphing vertical and horizontal shifts of the common functions

Friday

review the homework:  the graphs of the common functions and the transformations

QUIZ on graphing the common functions and the vertical and horizontal shifts

graph the reflections of the common functions

Tuesday

intro to finding the domain of functions in chapter 1.7

pg.  219

problems:  7, 8, 9, 10, 17, 18, 21, 22, 23, 24, 29, 30

• FACTORING IN THE PREVIEW SECTION

Thursday

CONTINUE WITH DOMAIN OF FUNCTIONS

begin chapter 1.7

• operations on functions

• pg.

• problems:  13, 14, 15, 16, 20, 25-28, 37

Monday

review the homework

• operations on functions

• COMPOSITION OF FUNCTIONS

problems at the end of 1.7

• in class we did: 

• pg. 219-220

• problems:  13-28 and 30

assignment: 

       pg. 220

       problems:  49, 51, 53  (try 31 again)

WED. POSSIBLE TAKE HOME FOR FRIDAY

Wednesday

complete the composition of functions and the domain of composition of functions

 quiz on composition of functions and domain of composition of functions

possibility of inverse functions if we cover them.

Friday

collect take home quiz on composition of functions

begin the inverse of two functions

GRADES CLOSE

problems from the end of 1.8

Tuesday

inverse functions

• quiz on the inverse functions

• begin chapter 1.8: Circles

• distance formula and midpoint formula

• standard form of the equation of a circle

pg. 239-240

• problems:  6, 8, 20, 24, 34, 44

Thursday

noon dismissal

liturgy

30 minute class

• we put the homework on the board

Next class we will go over writing the standard form of a circle given the general form for the equation of a circle

Monday

writing the standard form of the equation of a circle given the general form

problems at the end of chapter 1.9

Wednesday

review the homework

• writing the standard form of the equation of a circle by completing the square

class meetings

next class a test on circles

Friday

chapter 2.1

• complex numbers

• operations with complex numbers

• QUADRATIC FORMULA

• solving quadratic equations

good luck with Beauty and the Beast

Wednesday

review the homework:

• Problems from chapter 2.1:  USING QUADRATIC FORMULA

Finish problems from chapter 2.1 with the complex numbers and using the quadratic formula

Friday

chapter 2.2:  quadratic functions

FROM THE PREVIOUS CLASS WE SHOULD HAVE GONE OVER 18, 28, 29, 59  page 284  section 2.2

• We went over 18

• we went over 59

• for next class:  pg. 284  problems:  57, 58, 60

Tuesday

go over problems at the end of chapter 2.2

• especially the application problems

• with the calculator:  graphing and finding max, min and zeros

happy Thanksgiving

NO SCHOOL

.

Wednesday

review of 2.2 at the beginning of class

QUIZ ON 2.2

• begin chapter 2.3

• 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 concerning endpoints of the graphs

Friday

FINISH QUIZ STARTED LAST CLASS

• chapter 2.3:  polynomial functions

• leading coefficient test

pgs. 297 and 298

• problems 19-24

• problems 32 and 48 to hand in to be graded

Tuesday

chapter 2.3:  polynomial functions

• graphing polynomial functions using

• Intermediate Value Theorem

leading coefficient test

finding zeros algebraically

finding y intercept

finding any other points necessary

• QUIZ given on 2.3 at the end of class

we will begin chapter 2.4 next class:

• long division of polynomials and...

• synthetic division of polynomials

Thursday

long division of polynomials and synthetic division of polynomials

• we put several problems on the board during class mostly using synthetic division to divide polynomials

problems at the end of chapter 2.4

• pg. 310

• 33-38 (using synthetic division and the remainder theorem to evaluate a function at a certain value

Monday

NOON DISMISSAL

long and synthetic division in chapter 2.4

• remainder theorem

problems at the end of chapter 2.4 on page 310

we put 33-46 on the board and we will do a short quiz at the beginning of class from these problems

• the quiz will be taken from problems 33-46 on page 310

Wednesday

continue in chapter 2.4

QUIZ on synthetic division:  below...

• solving equations using synthetic division

• finding zeros using synthetic division

• using the remainder theorem to evaluate functions

onto the rational zeros theorem after the quiz

problems from 2.5:  rational zeros theorem

• pg. 322

• problems:  2, 4, 6

Friday

find a function, given the zeros

problems at the end of ch. 2.5

Tuesday

problems in ch. 2.5

• given the zeros find the function

• given the function, find the zeros

send synthetic division program and allquads program

for Thursday:

pg. 322

problems:  45, 46, 47, 52

Thursday

discuss the option of a grade on finding zeros of polynomial functions

finish ch. 2.5:  zeros of polynomial functions

Thursday

Finish the topics in chapter 2.5: 

hand in the take home/in class quiz

problems at the end of 2.5

Monday

review the homework

answer questions from chapter 2.5

prepare to ask questions next class on the mid-term

Wednesday

review for the mid-term

Prepare for mid-term exam

1/17/08

(C)

Thursday

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

1/22/08

(E)

Tuesday

Quiz on solving polynomial inequalities

next class:  chapter 3.1

• exponential functions

1/24/08

(A)

Thursday

CHAPTER 31:  EXPONENTIAL FUNCTIONS

we looked briefly at the graphs of

and then used the calculator for evaluating exponential functions in the book

page:  385-386

• problems:  53, 54, 65, 73

1/28/08

(C)

Monday

QUIZ using the calculator to solve exponential function word problems at the end of class

• we began talking about logarithms and how to write a log expression as an exponential expression and an exponential expression as a logarithmic expression

problems:  1-20

1/30/08

(E)

Wednesday

CHAPTER 3.2

• logarithms

• writing exponential expressions as logarithms

• writing logarithms as exponential expressions

we completed the problems in the book at the end of chapter 3.2 up through #42

complete 1-20 on the worksheet

handed out for next class

2/1/08

A

First Friday

Friday

continue in chapter 3.2 with logarithms

we did a short quiz on the problems we have been doing the last two classes

• we looked very quickly at the end of class at the Product Property and the Quotient Property of logarithms used to simplify and expand logarithmic expressions

• these are at the beginning of chapter 3.3

pg. 407

problems:  1-12

2/5/08

(C)

Tuesday

Properties of Logarithms in chapter 3.3

• power rule

• quotient rule

• product rule

• change of base formula

problems at the end of chapter 3.3

2/7/08

(E)

Thursday

continue with chapter 3.3

• expanding and consolidating logarithmic expressions

problems at the end of chapter 3.3

• finish the condensing problems we were doing in class:  pg. 408 up through 70

• using change of base formula for problems 71-78

2/11/08

(A)

Monday

finish practicing expanding and shrinking logarithmic expressions

we will review for the test on Friday

2/13/08

(C)

Wednesday

review problems at the end of chapter 3.3 for a test on Friday

test on Friday

2/15/08

(E)

Friday

"short" TEST  on chapter 3.3

winter break

2/26/08

(A)

Tuesday

Pick up where we left off in chapter 3.4.

• exponential and logarithmic equations

• we looked quickly at solving exponential equations by taking the logarithm of both sides

problems from the end of chapter 3.4

• pg. 419

• 24-34

2/28/08

(C)

Thursday

Finish sections 3.4:  exponential and logarithmic equations

take home test on solving exponential and logarithmic equation

3/3/08

(E)

Monday

Growth and Decay problems in Chapter 3.5

• pg. 433-434

• 1-6, 13-15

3/5/08

(A; 1:10)

Wednesday

Finish Growth and Decay problems in chapter 3.5

quiz next class on chapter 3.5

3/7/08

C

First Friday

Friday

review homework

quiz on chapter 3.5

next class we will start Chapter 4:  Trigonometry

3/11/08

(E)

Tuesday

Chapter 4.1

• Angles and their measures

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

• pg. 458

• problems:  13-40

in problems 29-34, use the equation for changing degree measurement to radians:  

in problems 35-40, use the equation for changing radian measurement to degree measurement: 

3/13/08

(A)

Thursday

Chapter 4.1

• sketching angles in standard position

• Co-terminal angles

• arc length

problems at the end of chapter 4.1

• pg. 459

• problems:  41-46, 57-59, 63, 66

3/17/08

(C)

Monday

QUIZ on:

• writing angles from radians to degrees and degrees to radians

• sketching angles in standard position

• finding co-terminal angles

• arc length (possibly)

we will start Ch. 4.3:  evaluating trig values of angles in a right triangle

3/19/08

E

Class Mtg

Wednesday

trigonometric ratios of angles in right triangles

HAPPY EASTER

3/24/08

(A)

Monday

continue trig ratios in right triangles

finish using the trig ratios in a right triangle:  QUIZ next class on using the trig ratios in a right triangle

3/26/08

(C)

Wednesday

QUIZ on using the trig ratios in a right triangle

next class we will look at the trig values of any angle

3/28/08

(E)

Friday

chapter 4.4:  trig values of any angle

• trig values of an angle using the coordinate point on the terminal side.

• KNOWING what the signs of the trig values are in each of the quadrants

• pg:  499

• problems:  24, 29, 30