Starting Exponential and Log Functions
This is this week in Exponential functions (Ch 3).
11/16 Intro to the difference between polynomials and exponentials
HW p.270/1-19 odd, 25-30, 31-35 odd
11/18 Rational Quiz
11/19 Characteristics of Exp and Logistic Functions, base e
HW p.271-272/22,23,39,40,45-49 odd,51-55,57,58,61-64
11/20 Exp and Logistic Modeling
HW Demana: p.279-280/1-17 odd, 19-22, 29-39 odd, 40
Brown: p.183-185/7-21 odd, 24
Last bit of Chapter 2
We are spending an extra day on section 2.7 for better mastery. Here is a pile of homework.
11/12 p.237-238/43,45,47,54,57,59 and p.585/15,21,22,33,35
11/13 p.246/3-24 by 3's,29,41 and p.586/37-42 and Brown p.35/31-40
Rational Functions
Rational functions are the ultimate study of polynomials. You need the zeros of the numerator polynomial to find the zeros of the rational function. You need the zeros of the denominator polynomial to find the discontinuities. You need to divide the numerator polynomial by the denominator polynomial to find the polynomial asymptotes for the end behavior. And we have already done lots of graphs from clues with asymptotes!
11/06 2.7 Rational Function review
HW look over "end behavior model" worksheet again,
do "more problems with rational functions" and
p.236/9,12,15,21-24,27-36 by 3's, 37-41 odd
(do not be alarmed! 7 of the them are matching graphs)
11/09 2.7 More with rational functions and power functions
11/11 Veterans' Day - no school
11/12 Solutions and Inequalities
11/13 Quiz of 2.2, 2.7, 2.8
Answer Key for Complex Recap
Here is the answer key for tonight's worksheet.
Moving on to Complex Numbers
Sorry this is a bit behind the date.
10/22 Pop Quiz and the Euclidean Algorithm HW finish worksheet
10/23 2.5 Complex Numbers (notation, conjugates, operations)
HW (due Wed, 10/28) p.218-221/ Quick Review 8, 10 and
Exercises/6-8,14-16,23,24,26,27,31,32,33-39 odd, 41-44,
45-53 odd, 59, 60, 62, 64
10/26 2.5 Complex Numbers (the complex plane, magnitude)
HW finish handout of book problems p.219/55, 57, 61, 63
10/28 2.6 Complex Zeros (Fundamental Thrm and Linear Factorization)
HW p.225-227/3-39 by 3's,46,51,53,57 plus worksheet of
problems p.222/Exploration and p.226/41-45, 50
10/29 Extra Problems
10/30 Quiz of anything from the chapter so far
11/02 More problems from throughout the chapter
11/04 Either still more problems or start 2.7
11/05 Test of 2.1-2.6
More with Polynomials
Chapter 2 starts with an in-depth look at polynomials. We will be spending two days per section to make sure that we have really explored the topic.
10/15 2.3 Polynomial modeling
HW p.196-197/3-30 by 3's,38,41,45,46,51,54-56
10/16 2.3 Creating polynomial functions
CW/HW Worksheet plus HW p.198/65-75 odd
10/19 2.4 Zeros of polynomials (and many theorems
HW Demana p.208-212/3-36 by 3's, 49-55 odd, 74
Brown p.61/9-21 odd, 16, 25 (Factor Thrm for 16 & 25)
10/21 2.4 Finish up theorems with Rational Roots Theorem
HW GCF/LCM Worksheet
10/22 Word Problems to put it all together
The start of Chapter 2
We are starting chapter 2 with modeling problems (word problems!). They all focus on polynomials so that you have a context for our more theoretical study of the material. Due to Columbus Day and a professional development day, one homework assignment will cover almost a week of real time.
10/09 Power functions and polynomial functions
HW Demana p.76/45 and p.170-174/35,37,49,51,54,55,
57,68-71 plus Brown p.42-43/38,44
Note: The problems in red will be done in class for H-Block.
If you need more practice with quadratic functions, look at Demana p.170/19-34.
Post test homework - Can you use your calculator?
Our next chapter is on polynomials. This will be heavily calculator based (bring it every day!) and you should know how to use your calculator to find models based on data. If you forget, download a document that shows how to do quadratic regressions (best-fit quadratic functions).
read section 1.6
do p. 144-146/5 - 25 by 5's, 33, 35, 37, 40, 41
Moving the test
To relieve some of the tension, I am translating the chapter test to Thursday, October 8th. Bring your questions on Wednesday.
Slight change to the syllabus
After today's quiz you should have picked up the review handout. Your homework tonight is to do problems 1-8. Tomorrow we will go over a few things and then you should finish it.