Right Triangle Trig and Sinusoids

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.

12/20  Right Triangle Trig Review
           no HW but if you struggled with today's activity, read section 4.2 in the Demana book

12/21 - 1/02 Christmas Break!

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 January 6th are the problems you should really push yourself to understand - don't just give up and wait for me to go over them.

01/03  Snow Day

01/06  4.3 Circular Functions

           HW Demana p.347-349/2,3,7,27-35 odd, 41-53 odd, 60-64, 67-76

01/07  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

01/08  Finding all solutions with circular trig HW finish handout
01/09  Professional Developement - Half Day (B A G F)

01/10  Quiz of 4.1-4.3
           HW Graphing Trig Functions handout

1/13  4.4 Sinusoids

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

1/14  CW p.360/91-97   HW p.357-359/51, 52, 54-57, 59-69 odd, 70-80 even

1/15  Trig Evaluation Practice and Extra Problems

         HW finish problems 1-12 of Extra Problems worksheet

1/17  Discuss Extra Problems Worksheet (and End of Term 2)

         HW finish Extra Problems worksheet (13-21)

1/20  Martin Luther King Day - no school

1/21  Solving with Sinusoids  CW problems 1-5 (answer key)

         HW problems 6 - 9

1/22  Continue Solving with Sinusoids

         HW finish rest of handout, problems 10 - 17

1/24  Quiz of 4.1-4.4  (I will be out taking a course - day 1)

1/27  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

1/28  Extra Sinusoid and Inverse Trig Problems

         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

1/29  Review (answer key)   (Practice Test and answer key)

1/31  Test of Ch 4   (I will be out taking a course - day 2)

         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 12/04 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.

12/02  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
12/03  Math Department Professional Developement - no class

12/04  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

12/06  Practicing with log functions.  Standard transformation rules apply.

           HW p.281/3-36 by 3's, 37-40, 42-60 by 3's

12/09  Proving and Using Log Properties (proof exemplars)

           HW finish handout

12/10  Extra Problems on Exponential and Log Functions

           HW handout 1-15 (answer key)

12/11  Log Transformations, More Log Properties & Log Applications

           HW problems listed on handout (answer key)

12/13  More Log Applications (Newton's Law of Cooling especially)

           HW problems listed on handout

12/16  Re-expression of data and Semi-log graphing

           HW finish handout

12/17  Review problems (answer key)

12/18  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.

11/12  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

11/13  Extra Problems Worksheet (work in pairs)

           HW finish worksheet (answer key)
11/15  Makeup rest of Polynomial Test

11/18  Harder Graphing and Solving Equalities

           HW finish handout and p.232-235/3-45 by 3's, 51, 53, 55

11/19  Solving Inequalities

           HW p.242-243/5-50 by 5's, 57-59

11/20  One Giant Problem (Problem and answer key)
11/21  Professional Developement Day - no school

11/22  Partial Fraction Decomposition
           HW p.562-564/5-25 odd (not 11), 33-45 odd, 49-52, 55, 56

11/25  Review (Practice Test and Answer Key)
           HW finish handout (includes p.247,249/67-81 odd, 91, 92, 94, 95

11/26  Rational Function Half-Test

11/27  Half-Day A C F H

11/28  Thanksgiving

Polynomials

We are back in the Demana book with Chapter 2: 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.

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

I will be out on November 7th and 8th so I may change the schedule a bit.  Check back.

10/23  2.1 and 2.3  Linear, Quadratic and Higher Degree Polynomial facts

           HW p.77/48,50,52 and p.169,173/11-17 odd, 81-84  and  HW p.193-195/3,5,18,21,24,45,47,75

10/25  2.4  Real Zeros of Polynomial Functions

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

10/28  More problems from 2.3 and 2.4 plus LCM and GCF (alternative method for GCF)

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

10/29  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

10/30  2.5  More with Complex Numbers

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

11/01  2.5  Complex Zeros of Polynomials  End of Term 1

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

11/04  Extra Complex Problems

           HW work through packet, answer key for 1-10 are here

11/05  Go over Complex Conjugates Proof; Finding Equations of Polynomials

           HW finish handout

11/06  More Polynomial Problems

           HW finish packet, answer key is here

11/08  Test of Polynomials (practice test and solutions)

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.

11/11  Veterans' Day

11/21  Professional Development Day - no school

11/28  Thanksgiving

Sequences, Series and Inductive Proof

A quick unit on Sequences and Series. All the homework is in the Brown book (Ch 13).

10/09   Explicit & Recursive; Geometric, Arithmatic, Harmonic Sequences

            HW pp.477-479/18-33 by 3's, 34, 37, 39, 44, 45, 48-50, 53, 56

            HW pp.481-485/1,2,11,12,13-17 odd,19,20,22,23,26,27,29,32-34

10/11  Ch 1 Functions and Transformations Test

10/14  Columbus Day - no school

10/15  Finite and Infinite Series; Sigma Notation

           CW pp.508-510/9, 11, 25, 27, 39

           HW pp.489-492/10-13, 17, 19, 27, 29, 35, 39, 41, 44

10/16  Limits and Sums of Infinite Sequences and Series

           HW pp.496-498/3-33 by 3's, 34-36 (skip 18 and 27)

           HW pp.502-505/9-21 odd, 29, 31, 33, 37, 38, 47, 48

10/18  Proof by Induction
           HW p.513-514/1, 3, 5, 6, 8, 11, 13-16, 19, 22, 24, 25

10/21  More Proof by Induction and General Review
10/22  Sequence and Series Quiz

Transformations

This is section 1.6 in the text but we will spend a week on it because the topic is so important for everything else we do.  

09/30  Review Basic 6 Transformations, plus more!
               HW finish Day 1 handout plus p.136-138/3-24 by 3's, 25-29, 31   
10/01  More Graphical Transformations (incl. domain & range, inverse, absolute value)
                HW finish Day 2 handout
10/02  Describing Transformation with Coordinates
               HW finish Day 3 handout
10/04  Reciprocal and Involution
               HW finish Day 4 handout
   

10/07  Review Day 1 (putting all of chapter 1 together) (answer key for Big Giant Review Problem)
10/08   Review Day 2  (Here is a link for a heavy-on-the-transformation Practice Test and its solutions)
10/09   Chapter 1 Test