The beginning of Trig...

Trigonometry is our longest unit spanning more than two months and three tests. We start in the Demana book but will move into our second book, the Brown book, as we progress.  We begin with Right Triangle Trig, mostly review from last year.  

12/12  4.1 Angles and their measures

           HW p.325-328/3-39 by 3's, 44, 46, 52-56, 72-74

12/14  4.2 Right Triangle Trig

           HW p.335-337/1, 7, 16, 19-23 odd, 59, 60, 61, 63, 66, 73, 75-78

Circular functions (4.3) are a big part of understanding trigonometry conceptually. We will spend a few days making sure you understand. Problems 67-76 on 12/17 are the problems you should really push yourself to understand - don't just give up and wait for me to go over them.

12/17  4.3 Circular Functions
           HW Demana p.347-349/2,3,7,27-35 odd, 41-53 odd, 60-64, 67-76;

12/18  More Practice CW Brown p.272/3-10,  13, 14 and worksheet
           HW Brown p.272-274/17-27 odd, 29-32, 33-41 odd

12/19  Finding all solutions with circular trig HW finish handout

12/21  Quiz of 4.1-4.3 and game

12/22 - 1/02 Christmas Break! (Parent Conferences on 1/02)

Sinusoids are some of our 12 basic functions, period functions with repeating patterns. We will be spending time before and after vacation on this topic. There will be a quick skills quiz.

1/03  4.4 Graphing Trig Functions handout (G-Block in class, E-Block for homework)

1/04  4.4 Sinusoids
         HW Demana p.357-358/13-41 odd, 42, 49, 50, 53, 73, 75

1/07  CW p.360/91-97   HW p.357-359/51, 52, 54-57, 59-69 odd, 70-80 even

1/08  Trig Evaluation Practice and Extra Problems

         HW finish problems 1-12 of Extra Problems worksheet

1/09  Discuss Extra Problems Worksheet (and Professional Developement - Half Day (B A G F))

         HW finish Extra Problems worksheet (13-21)

1/11  Solving with Sinusoids  CW problems 1-5 (answer key)

         HW problems 6 - 9

1/14  Continue Solving with Sinusoids

         HW finish rest of handout, problems 10 - 17

1/15  Quiz of 4.1-4.4

1/16  4.5 Graphs of the other Trig functions and 4.7 Inverse Trig functions

         HW p.366-368/13-16,18-39 by 3's,43,60,63,64 and p.385/37-40

1/18  Extra Sinusoid and Inverse Trig Problems (and End of Term 2)

         HW in Brown: p.290-291/11-14, 27-29, p.306-307/30,31,33,36, p.314-316/15,17,18,21,25,26

1/21  Martin Luther King Day - no school

1/22  Review (answer key)
1/23  Practice Test (answer key)

1/25  Test of Ch 4
         HW Trig Area and Identity intro

Ch 3: Exponential and Logarithmic Functions

We start with an explanation which is both review and a new way of looking at exponential functions.
Some of the 11/27 homework problems involve regression. Here is a document that will remind you how to do them on the calculator. The example uses a quadratic but I have faith in your ability to extend the information to the exponential and logistic regressions.

11/26  Intro/Review of Exponential Functions
           HW p.261-264/8, 10, 13, 15, 19, 23, 25-30, 35, 39, 40, 45-49 odd, 61, 65, 66, 69-73
11/27  Modeling with Exponential and Logistic Functions
           HW p.262-263/51-58 and p.271-273/12-15, 21-33 by 3's, 39, 42, 45, 58-61
11/28  Practicing with log functions.  Standard transformation rules apply.
           HW p.281/3-36 by 3's, 37-40, 42-60 by 3's

11/30  Proving and Using Log Properties

           HW finish handout

12/03  Extra Problems on Exponential and Log Functions

           HW handout 1-15 (answer key)

12/04  Log Transformations, More Log Properties & Log Applications

           HW problems listed on handout (answer key)

12/05  More Log Applications (Newton's Law of Cooling especially)

           HW problems listed on handout

12/07  Re-expression of data and Semi-log graphing

           HW finish handout

12/10  Review problems (answer key)

12/11  Test of Ch 3

Conjugate Proof Exemplars

Here is a link to the good/better/best proofs.  It is worth your while to understand what makes one proof better than another (for the good of your future proofs).

Rational Functions

We are going to do a quick unit on Rational Functions (a way of putting our polynomial studies to work).  The pacing is rather aggressive so we can finish before Thanksgiving.  Make sure you keep up with your homework.

11/08  After the Polynomial Test, review Rational Functions (What are they? What do they look like? What do the zeros of the numerator tell you?  What do the zeros of the denominator tell you?  What else do you remember about them?)
11/09  Big Giant Algebra 2 coverage review
           HW p.225-227/15-18, 21-30 by 3's, 31-36, 39-60 by 3's, 73, 77, 78

11/12 Veterans' Day - no school
11/13  Extra Problems Worksheet (work in pairs)
           HW finish worksheet (answer key)
11/14  Harder Graphing and Solving Equalities
           HW finish handout and p.232-235/3-45 by 3's, 51, 53, 55
11/16  Solving Inequalities and Review Problems
           HW finish handout and p.242-243/5-50 by 5's, 57-59

11/19  One Giant Problem (answer key)
11/20  Rational Function Half-Test
11/21  Half-Day A C F H
11/22  Thanksgiving

Finishing up the Polynomials

The schedule announced in class has changed a bit because of storm.

10/29  Hurricane - no school
10/30  Hurricane damage - no school
10/31  Recap of complex numbers
           HW work through packet, answer key for 1-10 are here
11/02  Go over Complex Conjugates Proof; More Polynomial Problems
           HW finish packet, answer key is here

11/05  Finding Equations of Polynomials
           HW finish handout
11/06  Professional Development Day - no school
11/07  Test of Polynomials (E-Block)
11/08  Test of Polynomials (G-Block)

Looking forward:
The rest of the chapter is on Rational Functions (fractions with polynomial numerators and denominators) which will end in a quiz or test.
11/12  Veterans' Day
11/22  Thanksgiving
11/26  we start a full week of school!

Polynomials

Chapter 2 begins with Polynomials. The beginning of the polynomial chapter is mostly review - and then it gets complex (literally!).  The chapter includes how complex numbers relate to polynomial functions.  We will be spending a couple of weeks on polynomials and complex numbers.  Quick, skill-based check-in quizzes could happen at any time after the first three days of basic instruction so stay on top of your homework.

The homework problems on complex zeros are from the old edition of the book which used to take two sections to cover the material.  I liked some of the problems that were deleted in the new edition so you will be given copies of the pages.

10/15  2.1  Review Linear and Quadratic facts

           HW p.77/48,50,52 and p.169,173/11-17 odd, 33-41 odd, 81-84

10/16  2.3  Higher Degree Polynomials

           HW p.193-195/3,5,13,18,21,24, 33-41 odd, 47-55 odd, 75

10/17  2.4  Real Zeros of Polynomial Functions

           HW p.205-209/13-31 odd, 49, 53, 76-79

10/19  More problems from 2.3 and 2.4

           HW Finish handout plus p.195-196/77 - 83 odd, 84

10/20  2.4  GCF for Polynomials

           HW Euclid's Algorithm Worksheet

10/21  2.5  Complex Numbers

           HW 2.5/Quick Review 8,10 and Exercises 6-8,14-16,23,24,26,27,31,32,33-39 odd

10/22  2.5  More with Complex Numbers

           HW 2.5/Exercises 41-44, 45-53 odd, 59, 60, 62

10/24  2.5  Complex Zeros of Polynomials

           HW 2.6/Exercises 3-39 by 3's, 46, 51, 53, 57

10/29  Extra Complex Problems

Practice Test for Transformations

Here is a link for a Practice Test.