Wednesday, December 12, 2007

Topics on the Final

No graphing calculator allowed

  • graph linear functions
  • graph absolute value functions
  • graph inequalities
  • add and subtract matrices
  • multiply matrices by a scalar or another matrix
  • find determinants and inverse matrices
  • be able to write the identity matrix
  • solve quadratic equations
  • graph quadratic functions in standard or vertex form
  • evaluate and simplify exponents
  • evaluate logarithms
  • generate Pascal's triangle
  • use Pascal's triangle to expand binomials and find nCr
  • Generate Fibonacci numbers
  • find horizontal and vertical asymptotes
Graphing calculator allowed
  • know the abbreviations for special sets (real numbers, integers, etc.) and understand the elements of those sets
  • identify sets as being closed under addition or multiplication
  • recognize functions
  • onto & 1-to-1
  • define function
  • write the equation of a given line
  • solve systems of equations in 2 or 3 variables
  • solve systems of equations using matrix equations
  • add, subtract, multiply, and divide complex numbers
  • graph complex numbers
  • add, subtract, multiply, and divide polynomials
  • compound interest
  • solve exponential equations
  • solve logarithmic equations
  • know the focal properties of conic sections
  • graph and classify conic sections
  • be able to convert between bases
  • add and subtract in any base
  • multiply in base 2
  • know what fractions terminate and what multiples repeat in a given base
  • evaluate sigma notation
  • understand inductive proof
  • understand proof by contradiction
  • convert a number to mod n

Thursday, November 8, 2007

Homework 11/8

Finish p.484 #76 & 78

Monday, November 5, 2007

Quiz tomorrow (Tues.)

Included on the quiz will be:
evaluating logarithms without a calculator
evaluating logarithms with a calculator (using the change of base formula)
solving logarithmic equations
solving exponential equations

Monday, October 22, 2007

Thursday, October 11, 2007

Tuesday, October 2, 2007

Homework 10/2

p.253 #20-23
Convert each function to vertex form and intercept form.

Tuesday, September 25, 2007

Homework 9/25

p.253 #24-25, 2, 4, 7

Study for tomorrow's quiz.

Friday, September 21, 2007

Homework 9/21

p.287 #56-59
Then solve ax^2 + bx + c = 0 by completing the square

Wednesday, September 19, 2007

Homework 9/19

p.260 #42-46, 65-66
p.267 #13-14
p.277 #34-42, 49-50, 29-30

Monday, September 17, 2007

Chapter 4 Test Tomorrow

Be sure to study.

(Also, complete p.243 #4-8, 10-13, 21-24, & 28-30 if you didn't finish in class.)

Tuesday, September 11, 2007

Homework 9/11

p.218 #12-14, 25-27, 10, 44

Friday, September 7, 2007

Homework 9/7

p.203 #11-18,23-25,29-36

Thursday, September 6, 2007

Homework 9/6

Complete p.186 #1-4,9-14,17-20 & p.189 #15-17

Study for test.

Wednesday, September 5, 2007

Homework 9/5

problems 18-20 on the handout.

Tuesday, September 4, 2007

Friday, August 31, 2007

Thursday, August 30, 2007

Homework 8/30

Graph the following points:
(4,2,5), (3,-7,1), (-2,-5,-3), (0,2,-1), (0,5,0)

Wednesday, August 29, 2007

Homework 8/29

p.155 #13-15, 17
p.182 #24, 26-27

Tuesday, August 28, 2007

Homework 8/28

p.132 #15-25
Be ready for the retest tomorrow.

Monday, August 27, 2007

Thursday, August 23, 2007

Homework 8/23

p.131 #10-13
p.133 #13-14
p.418 #5-10, 49, 51
p.426 #7-8, 23-26

Study for the test over chapters 1 & 2.

Your review worksheet is also due Friday.

Wednesday, August 22, 2007

Review Worksheet (due Friday 8/24)

2.4 #1-18
7.3 #1-3, 5-7, 9-11, 13-15, 17-19

Homework 8/22

p.53 #32-36, 41-43

Tuesday, August 21, 2007

Homework 8/21

p.118 #36, 39
p.126 #18-22

Monday, August 20, 2007

Homework 8/20

p.117 #9, 25-27, 37-38

Friday, August 17, 2007

Challenge problem #1

1. Explain why the cyclic group {0, 1, 2, ..., n-1} is closed under addition mod n and multiplication mod n.

2. Research groups, rings, and fields (try wikipedia). Explain why a cyclic group using mod n is a field if n is prime (and why it isn't if n isn't prime).

Thursday, August 16, 2007

Quiz Tomorrow

The following will be on the quiz:

Math:
Writing linear functions
Evaluating linear functions
Finding inverses
Verifying inverses
Direct variation

Theory:
Closure
Identifying functions (in multiple contexts)
1-to-1 and onto

Homework 8/16

p.111 #24-32

Wednesday, August 15, 2007

Tuesday, August 14, 2007

Homework 8/14

p.95 #25-30
p.426 #6-8, 10

Monday, August 13, 2007

Homework 8/13

Find (f+g)(x), (f-g)(x), (f*g)(x), (f/g)(x), (fog)(x), and (gof)(x) for each set of functions.

1. f(x) = 3x+2
g(x) = x^2 (x squared)

2. f(x) = x-5
g(x) = -2x+10

Friday, August 10, 2007

Homework 8/10

Your homework is to complete the handout on sets and closure and to be ready for a homework quiz on monday.

Wednesday, August 8, 2007

Commenting on Posts

The way this blog is currently set up, comments are only permitted by registered users. If you want to comment on a post you will need to sign in or, if you have not commented before, register a blogger id (if you have a google id, you can use it to sign in to blogger). The website should be able to walk you through this process. When registering you will be asked what name you would like to appear on your comments: set up your account so that the name appearing on your comments is your first and last name. Any anonymous or pseudonymous comments will be deleted. As detailed in the syllabus, no comments will be allowed that disparage other students or give complete solutions to homework. Since this blog is associated with Southeast, any violations of the commenting policy will be subject to school discipline. I would encourage everyone reading this post to leave a comment (something as simple as asdf or n/t will suffice) in order to make sure that you understand how to do so.

Honors Algebra II Syllabus

Honors Algebra II covers intermediate and advanced algebraic topics, mostly dealing with various types of functions. As this is an honors class, we will be covering these topics at a more abstract and theoretical level than the cp version of this class as well as covering topics at a faster rate. In addition, to better prepare you for future advanced math classes we will be working on developing your mathematical reasoning ability. Often this will take the form of written assignments and/or proofs. Almost every test and quiz will include at least one proof similar to those we have covered in class so it will behoove you to pay close attention to such proofs and keep notes over them. Remember: when writing proofs, generally the more written explanation you provide, the better your proof will be.

Students will be graded on daily work, homework, quizzes, tests, and/or projects. Students are responsible for doing the work assigned to them and for reading any supplementary texts assigned. Test and project grades will comprise 40% of the final grade, quizzes 40%, and homework/daily work 20%.

Students are expected to come prepared for class. This means you should have paper, pen or pencil, and your book. If you find that you do not have one of these items, you should make arrangements to acquire them before the bell rings. Students who are unprepared once class has started more than once in a week may be docked points from their daily grades. Students should be ready to work when the bell rings. This does not mean that you can run in when the bell rings, lay down your things and go to the restroom. If you plan on using the restroom, be sure to give yourself enough time to get to class before the bell. Remember: a tardy results in detention as per school policy.

This class has a class blog at halg2fall07.blogspot.com. All homework for the class will be posted on the blog. In addition challenge problems will be posted on the blog periodically. Students are encouraged to use the comments on blog posts to discuss problems and help their fellow students. Rules for posting comments are as follows:

1. All students must post under the name they use in class (no anonymous comments).

2. No disparaging comments are to be made about other students or their work.

3. While you are encouraged to help your classmates with their work, you may not simply post the solutions to the problems. You need to help each other, not do each others work.