Week 33

First and foremost, have a great Spring Break. I know I will.

Secondly, take this extended time to do some work on Khan Academy. It is an excellent tool for you to practice and prepare for finals. In addition, you can take your math skills to new heights and new topics. Enjoy.

Algebra II is moving into basic operations with rational functions. As always, the basics of multiplication, division, addition, and subtraction of fractions comes back to haunt us all. I think the reference sheet for this one could be of real help to keep you organized, focused, and always pointed in the right direction.






Reference Sheet:


Completed Notes on Adding and Subtracting Rational Expressions:


Operations with Rational Expressions Videos:
Multiplying and Dividing Rational Expressions 1
Multiplying and Dividing Rational Expressions 2
Multiplying and Dividing Rational Expressions 3
Adding and Subtracting Rational Expressions 1
Adding and Subtracting Rational Expressions 2
Adding and Subtracting Rational Expressions 3


Homework (with odd solutions):

Final Review Packets:



Precalculus will graph the other 4 trigonometric functions with all their pecularities and nuances. I highly recommend watching some of the videos I have posted below. Remember to pause and rewatch them to get a true idea of how these functions behave.

Cosecant	Secant	Cotangent

Graphing Trigonometric Functions Videos:
Graphs of Trig Functions
Graphing Trig Functions
More Trig Graphs
Determining an equation of a trig graph

Homework:


Final Review Packets:

Week 32

Algebra 2 finalizes their investigation and construction of the graphs of rational functions. It is absolutely essential to make the connection between the algebraic manipulations and understandings of these functions and their graphs. I will be away from school both Thursday and Friday of next week trying to learn how to better use the SmartBoard (you know I need that). Remember to take advantage of the exercise practice at www.khanacademy.org. Please find a rather complicated rational function below. The steps to graphing it can be found here.

Graphing Rational Functions Powerpoint:


Operations with Rational Expressions Guided Notes:



Reference Sheets:




Rational Function Videos:
Asymptotes of Rational Functions
Rational Function Example
Another Rational Function Example!


Homework with odd solutions:


Final Review Packets:



Precalculus is going to continue with sine and cosine functions in the attempt at mastering all the different transformations that result in changes in amplitude, vertical shift, phase shift and period. The change in one parameter, amplitude, is captured in the image below:

Applet:
Transformations of sine functions



Khan Academy videos:
Graphs of trigonometric functions
More graphs of trig functions!

Precalculus Homework:


Final Review Packets:

Week 31

Fourth Quarter is now here. Your grade from the first three quarters cannot be changed--the only thing you can control, as a student, is your grade fourth quarter. Please, scholars, do thy best to finish strong. A great way to keep your basic skills up as we move through fourth quarter and prepare thyself for finals is to login at www.khanacademy.org and keep marching through the exercises.

*For Parents: I added an e-mail subscription to the sidebar so that you can receive an e-mail everytime the blog is updated. Just type your e-mail in and follow the steps that follow. It should take about 20 seconds.

Algebra II begins rational functions, which are graphically somewhat different than previous functions, but they nevertheless require a great deal of the skills we have been building all year. Factoring fun will remain a large part of our life. Here are two graphical examples of rational functions:


To explore the graphs of rational functions try this applet.

Videos:
Rational Expressions and Functions, part I
Rational Expressions and Functions, part II

Rational Functions Blank Note Guide and Graphing Powerpoint:



Reference Sheet:




Homework:


Saturday School:


Precalculus is ending the year with a bang. We are investigating the graphs of the six trigonometric functions and the unique types of behavior they can model. The coming week we will start with graphing sin(x), cos(x), and possibly tan(x). We will be relying on a curriculum that can be found online here. Here is a graph of sin(x):

To explore transformations of sine functions try this applet.

Videos:
Trigonometry Videos

Homework:


Saturday School:

Week 29

Algebra II will begin to reverse the flow on polynomials. We have been driving from the algebraic to the graphic, and now we will start with the graphic and drive toward the algebraic. It should be both fascinating and mind-blowing. Here is the summary of the week in two pages!


BTW: Answers for

We will continue to plough through our guided notes. I have placed the notes from the previous weeks below.
Blank Note Guide:

Completed Note Guides:












Polynomial Notes Supplement:
Polynomial Note Guide, part 14 (this week)

Polynomial Note Guide, part 15 (this week)


Homework with odd answers:


__________________________________________________________
Precalculus will do a brief unit on trigonometric identities before heading into trigonometric ratios as functions. Please don't forget the development of the unit circle as we take a slight detour through identities.



Guided Notes:
Trigonometric Identities

Trigonometric Functions

Homework:

__________________________________________________________
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!

Week 28

Algebra II will continue investigating polynomials and fully merge the graphical with the algebraic. It should be exciting. Please remember to bring your graphing calculators to class everyday. We are going to rely on them an increasing amount from her to the end of the unit. This coming Thursday we will have an exam in order to break up this large unit a bit. Reference sheets will be able to be used!

Blank Polynomial Notes:


Completed Polynomial Notes from previous weeks:












Polynomial Notes Supplement


Reference Sheets:




Videos on Polynomials
Polynomials, part I
Polynomials, part II
Imaginary Numbers

Algebra II HW with odd answers

_________________________________________________________________

Precalculus will be continuing their work with the unit circle and increasing their level of comfort with it. By the end of next week we will begin to develop the idea of a trigonometric function through our new unit circle informed eyes. It should be awesome, really!
Reflect on the following widget--it is the whole of trigonometry.





Unit Circle Notes:


Trigonometric Identities Notes:


Homework:


Trigonometry Videos:
Trigonometry

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 screan 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!