Week 37-38

Our build up to radical functions continues with an exploration of operations with radical expressions as well as how to solve radical equations algebraically. Please find a copy of the guided notes as well as the current smartboard snapshots of the completed notes. IF anybody can tell me what this picture is demonstrating I will give you mega bonus!

Blank Guided Notes (special thanks to CCS):









Reference Sheet:


Videos:
*Khan Academy Videos
Simplifying Radical Expressions 1
Simplifying Radical Expressions 2
Simplifying Radical Expressions 3
Solving Radical Equations 1
Solving Radical Equations 2
Solving Radical Equations 3
*Brightstorm Videos
Roots and Radicals (set of videos)

Homework:

Global Studies Layered Assessment LOGO Contest Help: http://skyje.com/2010/03/drawing-tools/

Scratch Project:

Reference Guide	Project Outline

Week 34

Precalculus will be exploring the law of sines and cosines and working through the ever challenging "ambiguous case" for law of sines. To review trigonometry for the upcoming exam try this online set of tutorials and practice or this set of videos. Let me know if it helps!

Homework with odd answers:*

Bonus:
Khan Academy



Algebra II is moving from operations with rational expressions to solving rational equations. We will again apply all modalities to solve these equations: numeric, graphic, and algebraic. It is important to be able move between these modalities and use each to help you solve the more difficult problems.

Examples for Simplifying Complex Rational Expressions:


Videos of the Week:
Adding and Subtracting Rational Expressions 1
Adding and Subtracting Rational Expressions 2
Adding and Subtracting Rational Expressions 3
Solving Rational Equations 1
Solving Rational Equations 2
Solving Rational Equations 3

Reference Sheets:



Homework* with odd answers:



*Modified from University of Houston

Week 30

The Abel prize was awarded last week to John Milnor for his work in topology. It is an annual prize that recognizes innovative thinkers in mathematics and comes with a $1,000,000 award. The two-dimensional picture of a seven-dimensional sphere below demonstrates some of the work for which Milnor was recognized.

Algebra II's month long journey deep into the heart of polynomials is coming to an end this Thursday. Please find the test review posted below. We will be completing this in class on Tuesday and Wednesday--answers are at the end of this document! The exam will be answering some essential questions about polynomials, which will only be posted here for your perusal--start thinking.

1. How many max's or min's could an even degrees polynomial have? How few can it have?
2. Could a polynomial have two max's, but no local minimums?
3. If a polynomial has two max's and two min's, can it be of odd degree? can it be of even degree?
4. Can a polynomial have local max's or min's without having any real zeros?
5. Why must every polynomial of odd degree have at least one real zero?
6. Can a polynomial have two distinct real zeros and no local max's or min's?
7. Can an x-intercept yield a local max or min? Can it yield an absolute max or min?
8. If the y-intercept yields is the lowest point the polynomial reaches, what can we say about the degree of the polynomial and the sign of the leading coefficient?

Test Review

Homework:

Saturday School 5.2:

Precalculus will finish with solving trigonometric equations and have an exam over basic trig identities, the unit circle, and trigonometric equations! The homework is short this week, but be diligent. Exam Thursday!!

__________________________________________________________
BONUS ASSIGNMENT FOR ALL-
Step 1: Go to www.khanacademy.org
Step 2: Login with a gmail account or a facebook account
Step 3: Once your logged in, at the bottom of the screen is a link to "Add a Coach"--click it!
Step 4. Add me as your coach! My ID is my e-mail address is darren.burris@gmail.com
Start with addition and advance!