## Wednesday, November 23, 2011

### Building Quadratics and Revisiting Polynomials

Precalculus will be perfecting their algebraic and graphical skills around polynomial functions, but the real aim is mathematical argument.  You will be expected to apply the theorems and properties of polynomial functions to make arguments and justify conclusions or debunk others.  It should be a different look at a good ol' Algebra II topic that will enable you to show mastery in a slightly different way.

Find the reference sheets as well as powerpoints in the embedded folder below using Box.

Polynomial Function Reference Sheets:

HOMEWORK: ________________________________________________________________________
Algebra II will be digging deep into quadratics all the way till holiday break.  As always, please find the Powerpoint slides to the work being done, copies of the classwork, and homework (classwork and homework are from Weiler's Algebra 2).  In addition, check out the simulation below as well as the video links to the topics we are covering!  Enjoy.

Click on any of the following to get what you want!

## Tuesday, November 22, 2011

### Thanksgiving Break Videos and Videographics

Please find some incredible videos for your viewing pleasure over the long weekend.  Enjoy the time without homework, but if you find yourself interested in some intellectually stimulating videos I have included some suggestions below.  Scan through them and find one that you find compelling!
Those students interested in previewing the material for the coming weeks can find the slide shows here:
Precalculus (from Pearson):
Algebra II (from Holt):

Credit Crisis:

The Crisis of Credit Visualized from Jonathan Jarvis on Vimeo.

Computer Programmers go to War:

Stuxnet: Anatomy of a Computer Virus from Patrick Clair on Vimeo.

Gulf Oil Spill by the Numbers:

12 Year Old App Designer:

Optical Illusions:

Schools Kill Creativity by Ken Robinson:

Brain Magic:

## Friday, November 18, 2011

### Turkey Bowl and Alumni Day

Enjoy the Thanksgiving infographic below! Math and Thanksgiving, like everything else, go hand-in-hand.

via

Next Wednesday is a truly wonderful day @BCCStoCollege. I hope we all will welcome our past graduates and listen to their experiences and adventures from college or the workforce. Please ask them many questions and try to learn as much as you can from their stories about life after BCCS. All of you will be in there place in four years or less, believe it or not! In addition, the traditional Turkey Bowl will be taking place at Moakley Field and it looks like team 2 (my team) has a chance. Nevertheless, it is a short week and will be begin our exams on Tuesday and finish them on Wednesday, if time allows.

Precalculus will finalize symmetry, function behavior, and transformations and show what they know on the upcoming exam.

Here are links to the homework for next week:
Transformations Homework

Reference Sheets and Powerpoints:

_____________________________________________________________________
Algebra 2 will finalize systems of linear equations and their application in a variety of contexts.  The homework for this week is basic practice problems and is a "bare" minimum competency problem set.

Here are links to the homework for next week (from @mathfortress):
Systems of Equations
Graphing Inequalities in Two Variables
Graphing Systems of Linear Inequalities

Reference Sheets and Powerpoints:

 Credit: Gary Larson

## Wednesday, November 9, 2011

### More Transformations and Systems of Inequalities

Transformations will continue in Precalculus with even more difficult problems coming your way!  I encourage you to review your notes nightly until you can, without hesitation, describe a single transformation and the order of transformations.  These are simple tasks if you take it one transformation at a time.  At the end of the week will refocus on our attention on common characteristics of functions such as symmetry, end behavior, etc.  The homework is posted with odd solutions to help you navigate this, at times challenging, homework assignment. Beneath the table is a link to a new set of videos/animations you may find more engaging or interesting if you need to review the material.

 Pearson Powerpoints Text Examplars: Classwork: Homework (from University of Houston) Reference Sheet (from fortress math)

Precalculus animations/review from Cengage Learning:
Transformations of Graphs and Functions
Nonrigid Transformations of Functions
____________________________________________________________________
Algebra 2 will apply their problem solving abilities to three-variable systems as well as revisit some of the classic simultaneous equation problems.  Given that I will be working outside of the building on Wednesday and  we have no school on Thursday, this will be a short work with a great deal of perfecting of our basic skills.  We will return to systems when we add polynomial functions to the mix so master the skills now!

Please find some relevant resources below:
 Solving by Graphing Powerpoint Homework Reference Sheet 1 Reference Sheet 2

Problems for homework with one student's action plan:
Brightstorm Videos:
These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!

Also check out the videos recently posted by LearnZillion. They provide a nice basic overview of the underlying skills.

## Wednesday, November 2, 2011

### Transformations of Functions and Applications of Systems of Equations

Algebra 2 will be moving into applications of systems of equations that will range from profit, cost, and revenue, to mixtures, to numerical relationships, to planes, trains, and automobiles. It should be a good solid honing of your equation writing skills as well as your ability to manipulate equations. I look forward to lively debate, self-reflection, and solid revisions of you personal approaches as we go through the problem-solving process together. Please find some relevant resources below:
 Solving by Graphing Powerpoint Homework (from the University of Houston) Reference Sheet 1 Reference Sheet 2

Brightstorm Videos:
These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you! _______________________________________________________________________
Please find the upcoming material for Precalculus the next week or so!
We have also started reading short articles at the beginning of class and hope that connecting math to the everyday newsfeed has been interesting and revealing. Here is what we have been reading and will read!
CBO Blog-Trends in the Distribution of Income
UPI News-7 billion people is a 'serious challenge'

PHYSORG-Fighting violent gang crime with math
Washington Post: Want to earn more money? Study STEM.
Google Blog: The bright side of sitting in traffic: Crowdsourcing road congestion data

Our work on transformations thus far!
Gallery Walk Conclusions:

Our formalizations of our gallery walk:

 Pearson Powerpoints Text Examplars: Classwork: Homework Reference Material

Parent function "analysis" files with template (modified from Pete Falzone)

Videos on Transformations:
Brightstorm Videos

## Wednesday, October 19, 2011

### Graphs of Functions and Systems of Equations

Precalculus will be moving beyond their introduction to functions and function notation from Algebra II and into a in-depth development of transformations. We will be applying transformations (translations, reflections, dilations, etc.) to many of the parent functions included in the image above (we will save trigonometry for the Spring!). Understanding transformations is a crucial link between the algebraic form of a function and its graphical behavior. We will spend a considerable amount of time exploring this topic and working toward mastery. You all will continue to complete the lengthy linear programming problem set and for that reason I have a great deal of information to post--I will post the homework, reference materials, and a YouTube video that goes over the basics of linear programming from the previous week on linear programming as well as the upcoming information on transformations! Enjoy.

 Text Examplars: Homework Reference Material Wolfram Demonstration

Upcoming Material for the next two weeks.

 Text Examplars: Homework Reference Material

Videos on Transformations:
Brightstorm Videos

______________________________________________________________________________

Algebra 2 will be moving into systems of equations through the lens of coordinate geometry.  Below is a student work example of some of the resources I will be using and what we will be exploring.  The purpose is for students to have a concrete link between their algebraic worlds and geometric worlds as well as to ground the solving of systems in the graphical world and slowly move to more abstract manipulation.

Check out this 3D Lathe that will help you visualize the creation of 3D geometric figures from the two-dimensions of the coordinate plane.
http://www.fi.uu.nl/toepassingen/00182/toepassing_wisweb.en.html

 Homework                   (from the University of Houston) Reference Material Reference Sheet 1 Reference Sheet 2

Brightstorm Videos:
These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!

## Friday, October 7, 2011

### Harvard Medical School Opportunity, More Linear Programming and Linear Functions

HPREP is a free 9-week program that takes place at the Harvard Medical School campus on Longwood Ave, Boston, on Saturday mornings from 10:00AM to 2:00PM. The program will begin on November 19th, 2011 and end in early February 2012. The application, along with more information, can be found at http://sites.google.com/site/hmshprep/application-deadlines. The application is also attached to this email. Applications are due October 19, 2011 by email to HPREP@hms.harvard.edu.
 From http://news.discovery.com/space/nobel-prize-physics-111004.html
The pictures above represent a few images from the work of Saul Perlmutter, Brian P. Schmidt, and Adam G. Riess, the most recent recipients of the Nobel Prize in Physics. If you are interested in their work on the accelerating universe, here is a link to an approachable summary on the topic.  Mathematics is at the heart of their discovery and reiterates the central role of math in understanding our world.

We have yet another short week ahead of us, but I hope that we can really engage the material and deepen our understanding of mathematics.

Algebra II will be examining linear equations within the context of functions and addressing any and all misconceptions about linear relationships.  We will spend these four days solidifying linear equations as a basis for a brief but rigorous investigation of systems of equations as well as the basis of our exploration of polynomials.
Homework is due in two weeks, October 21st.
 Slides: Classwork (from eMathInstruction): Homework (from XYZ Custom Plus): Linear Equations Reference Sheet

________________________________________________________________________________________ Precalculus is zeroing in on linear programming. We started our investigation with a modified version of the National Council for Teacher's of Mathematics "Dirt Bike Dilemma" and will continue to explore it over the next six days. Homework is due in two more Fridays!  A great deal of graphing and interpreting is involved so work steady and check-in with me regularly.Here is the link to the chapter from which the problem set came.
Please find the slides related to linear programming here as well and some exemplar problems to help guide you on your way.
 Slides: Text Examplars: Homework Reference Material

Video resources:
Brightstorm Videos on solving and graphing inequalities
Youtube Video 1 on Linear Programming
Youtube Video 2 on Linear Programming
________________________________________________________________________________________ Remember, you all have ongoing Khan Academy assignments with the first installment due November 1st, and the ability to practice and get immediate feedback at TenMarks. If you have forgotten your password for TenMarks just e-mail me.

## Friday, September 30, 2011

### Moving Toward Linear Programming and Simultaneous Equations

MIT SEED applications are now being accepted!  All interested students should come see me.  An amazing opportunity and one that should not be passed up!

Precalculus will be completing their application of inverse matrices to solve "traditional" and "non-traditional" three variable system word problems and then move onto an eight day exploration of linear programming.  The image to the left shows a system of inequalities that represents the constraints on two variables.  The region that is darkest represents all the possible, feasible, values that "work" given the five different constraints.  The vertices of the polygon of the "feasible region" give the maximum and minimum values given the constraints.  We will primarily use these maximum and minimum values to solve business related problems that require us to determine what will maximize profit and/or minimize cost.

Here is an example problem from the Transition Mathematics Project:
Your great aunt left you a trust fund of \$18,000 that you may now have to invest with some restrictions.  You have three different funds from which to choose.  The municipal bond fund has a 5.26% return, U.S. Bank has certificate of deposits (CDs) with a 2.25% return and the high-risk fund has an expected (but not guaranteed) return of 9%.  To minimize risk, you decide to invest a maximum of \$3,000 in the high-risk account.  A stipulation of the trust indicates that you must invest at least three times as much in the bank CDs as in the municipal bonds.  Assuming the year-end returns are as expected, what are your best investment choices to maximize your return?  Be sure to state how much you will invest in each fund.
You will be able to solve this!

Homework is due in two weeks!  A great deal of graphing and interpreting is involved so work steady and check-in with me regularly.Here is the link to the chapter from which the problem set came.
Please find the slides related linear programming here as well and some exemplar problems to help guide you on your way.
 Slides: Text Examplars: Homework

Video resources:
Brightstorm Videos on solving and graphing inequalities
Youtube Video 1 on Linear Programming
Youtube Video 2 on Linear Programming
_______________________________________________________________________

Algebra II will quickly cover lines and move directly into classic system of equations problems.  The aim here will be twofold:  review of all things linear and translation of word problems.  We will continue to keep midpoint and distance formulas as well as exponents and radicals in play as much as possible by reviewing with Tarsia triangles, hexagons, and dominoes (see image of completed Tarsia triangle at left).

 Slides: Homework (from University of Houston): Linear Equations Reference Sheet

Brightstorm Videos:

These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!

## Thursday, September 22, 2011

### Solving Systems with Matrices and All Things Linear

 From Pearson Education Algebra II will be putting algebra basics behind them and moving on to linear equations with a coordinate geometry twist and an introduction to the concept function.  The goal of this week is to recall all you have learned about linear equations and really push your understanding of linearity to the limit.  Please find the Pearson PowerPoint slides below, a collection of videos on lines, the homework, and a linear equations reference sheet!

 Slides: Homework (from University of Houston): Linear Equations Reference Sheet

Brightstorm Videos:

These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!
_______________________________________________________________________________ Precalculus will continue to develop the properties of matrices and apply them to solving systems of equations. We will complete the final investigation of this unit on mixtures and solidify our ability to organize and manipulate information using matrices and apply them in problem-solving contexts.
 Slides: Text Examplars: TI-83 Guide (see ch. 10-pp.167-182)

Homework: Handout from Finite Mathematics and Calculus with Applications Khan Academy Video:
Matrices to solve a system of equations

Brightstorm Video:
Solving linear systems using matrices  (this is a link to four videos that start with previous topics and build to the final topic of solving systems with matrices)

## Friday, September 16, 2011

### Solving Systems with Matrices and Factoring Expressions

Precalculus will begin applying matrices to the solution of systems of equations.  It is an exciting week!  Please find the slides for the upcoming week below (starting with ppt5), a keystroke guide for matrices, as well as the homework.  We will have another investigation from the College Board's Springboard materials.  We completed "Gems in the Matrix" and "How Much Wood Do You Need," and will end with an investigation of mixtures.  Continue to focus on argument and explaining how matrices can help us manage and manipulate large sets of information.

 Slides: Text Examplars: TI-83 Guide (see ch. 10-pp.167-182)

Matrices to solve a system of equations

Brightstorm Video:
Solving linear systems using matrices  (this is a link to four videos that start with previous topics and build to the final topic of solving systems with matrices)

Homework:
pp. 103-104 #27-52, pp. 119-122 #1-48, pp. 124-125 #1-10
_________________________________________________________________________________
Algebra II will hone their factoring skills and will be introduced to the basics of rational expressions.  After next week algebraic basics is over and we will be moving onto linear functions and piecewise functions.  Please find the notes from the week below (factoring is ppt2), factoring reference sheets, and the homework.

 Slides: Factoring Reference Sheet Factoring Flowchart

Brightstorm Videos:

These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!

Homework:
Handouts taken from XYZ Custom+.  Completes the multiples of three, please.

## Friday, September 9, 2011

### Matrices and more algebra basics

Precalculus will venture from algebraic manipulation of three variable linear systems using "elimination" and "substitution" and venture into the properties, characteristics, and application of matrices to multivariable linear systems. This adventure will be facilitated by a good dose of reasoning and technology. The basic key strokes associated with entering and solving matrices can be found here. We will go over instructions for this in class in greater detail. Please find both the PowerPoint slide shows for the coming week as well as relevant fact sheets and homework.

 Slides: Text Examplars: TI-83 Guide (see ch. 10-pp.167-182) Class Examples

Brightstorm Videos:
Systems of Linear Equations and Matrices

Homework:
pp. 76-77 #8-22; pp. 82-85, #1-54; pp. 102, #14-26
________________________________________________________________________________________
Algebra II will continue their review of basic algebra concepts by steaming on into the concept of factoring. We will loop back to concepts of number, especially as it pertains to exponents and radicals, and apply these concepts to sums and differences of terms as they emerge in polynomials. The image above is the factorization of a fifth degree polynomial, which shows that the expression has three distinct factors with one factor having a multiplicity of two. The irreducible factorization of the polynomial will not be covered in this basics review, but we will emerge in our study of polynomials over the coming months. Please find the PowerPoint slides as well as reference sheets and homework below:

 Slides: Factoring Reference Sheet Factoring Flowchart

Brightstorm Videos:

These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!

Homework:
pp. 260-261 #1-63; pp.242-243 #1-45; pp. 247-248#1-59.

## Friday, September 2, 2011

### Graphical Solutions and Algebra Basics

In Precalculus we will finish our brief overview of lines and modeling and move onto a conceptual analysis of solutions in all of their many forms.  As shown in the pictures above we will be leaning on technology to conceptualize solutions to equations primarily in their tabular and graphical forms.

We will be finishing some of the remaining PowerPoint slides* from last week and moving onto a new set.  Please find both of them below (start with the tab ppt1 for both) as well as two reference sheets on systems of linear equations:

Video Resources at Brightstorm:
Graphs of Linear Equations
Systems of Equations

Homework (due September 9, 2011):
pp. 41-44, #1-19 evens; pp. 54-56, #1-22; pp. 70-72, #1-45.

_________________________________________________________________________________

In Algebra II we will continue with our algebra basic review* and move onto a review of factoring, rational expressions, and radicals. I have included the set of powerpoints below as well as resources on the "rules" around these different basic algebra concepts. The algebra cheat sheet is from Paul's Online Math Notes.

Video Resources at Brightstorm:
Factoring Methods
Rational Exponents
Exponent Rules
More on Exponent Rules

Homework (due September 9, 2011):
pp. 226-228, #1-65 all; pp. 37-39, #1-58 all

*Powerpoints are modified from 2007 Pearson text.

## Friday, August 26, 2011

### Linear Functions, Equations, and Inequalities for ALL

Numbers are a great place to begin the school year.  For Algebra II honors we are going over the number system and thinking through the implications this has for our work this year.  In precalculus we are thinking of these numbers as different values that give each function its peculiar meaning.  As we move forward we will broaden our ideas of the number system to help us explain mathematical statements that require a new set of numbers to include the complex numbers.
I look forward to a great year as we see what we can do with numbers.  Please find a flowchart of the number system below as well as a reference sheet on exponent rules:

Precalculus
Please find the Powerpoint slides provided for week 1 below (start with the tab ending with ppt1).

These slides are slightly modified versions of a 2007 Pearson Precalculus text.

Homework due Friday 2, 2011:
pp. 8-12, #1-57 odds, pp. 23-25, 1-39 evens, pp. 27-31, #1-29, evens, pp. 35-37 #1-34 evens
(approximately 70 problems)

Algebra II H

These slides are slightly modified versions of a 2007 Pearson College Algebra text.

Homework due Friday 2, 2011:
pp. 8-10, #1-66 evens, pp. 14-18, #1-86 evens, pp. 24-25 #1-89 evens

Please post or e-mail me any questions you might have.

## Tuesday, August 23, 2011

### 2011-2012 School Year Begins!

 Methodology Annual pay for Bachelors graduates without higher degrees. Typical starting graduates have 2 years of experience; mid-career have 15 years. See full methodology for more.

Welcome to week one of the 2011-2012 school year. This opening graphic is intended to show the promise of mathematics for all students in two specific ways:

1. It shows that math is useful--people are employed day-in and day-out to solve real-world problems.
2. Mathematics, and math related-fields, provide the highest compensation for the work people do.

I hope that this promise of mathematics does not go unrecognized by you and that over the course of the year we are able to actually see and experience the usefulness of mathematics and gain a great appreciation for all the careers that involve mathematics.

The homework for this opening week involves three things.
1. Setting up a gmail account.
2. Fill out the form below:

3. Adding me as a coach at Khan Academy. In order to add me as coach you need to enter my Coach ID, which is my e-mail darren.burris@gmail.com!

I look forward to a great year!

Here are a couple more graphics on earnings and education from the Center on Education and the Workforce at Georgetown University (click on them to make them larger).

## Monday, June 20, 2011

### Summer Learning

Why summer packets? I'm glad you asked. Every summer students lose ground in both reading and mathematics, especially among students in less affluent households. These packets (taken from supplementary materials associated with our Algebra textbook) are to serve as one way we to keep you mentally active over the summer and to help you retain what you have learned. Click the tab for the packet that pertains to you!

In addition, I hope that you all will take advantage of all the web has to offer. I encourage you to start or continue working through the practice exercises at Khan Academy, to watch and work through problems on Brightstorm, to engage the latest and greatest TED videos, or to create a game or animation using Scratch .

Here is an updated list of what I think is cool on the web as a I discover it. Let me know if you agree or if you thought something I found was particularly interesting.

This is my twitter feed and the #mathchat feed. Yes, I think about education and math all the time and am listening and discussing it all the time! If you like, follow what is recently going on in #mathchat or with me.

## Monday, June 13, 2011

### The Final Four

We are now in "The Final Four" days of school! Please find the weeks in-class review that we will be doing as well as the links to other study materials available online and on this blog! Please make a study plan and remember to check-in with me during the study sessions being offered after and during school. Special thanks to CCS for their excellent curriculum materials!

Do Nows for the week (with solutions at the end of each tab)!
 Systems of Equations (Monday) Quadratics (Tuesday) Polynomials (Wednesday) Rationals (Thursday)
FYI:

Finals Review Packets:
 Final Review Packet 1 Final Review Packet 2 Final Review Packet 3

Please remember that on the FINALS tab above I have placed online exams as well as other study aids to help you prepare finals.

Lastly for finals resources, you have all the video resources posted at BrightStorm and KhanAcademy to help you review the material when you are not with myself or someone else who can review the math with you.

SCRATCH BONUS: Scratch projects are due June 17th. You must send me a link to your scratch e-mail by the end of the school day on June 17th to be considered for credit.

KHAN BONUS: I will check Khan Academy one last time on the 20th of June. You have until then to log in your practice!

## Sunday, June 5, 2011

### Week 39

This is the last week of radical functions and we will be focusing on their graphs (square root and cube root functions only). June 9th we will have our last exam of the quarter!!! Prepare, prepare.

Here is a complete review of radicals with answers at the end for your perusal (will be worked on in class Wednesday)

Blank Guided Notes (special thanks to CCS):

Reference Sheet:

Videos:
*Brightstorm Videos
Roots and Radicals (set of videos)

Homework: (odd answers at end of document!)

## Friday, May 20, 2011

### 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:
*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

## Sunday, May 15, 2011

### Week 36

Algebra II embarks on a new and what will be our final function, the radical function. It is another example of a function with a restricted domain as well as a different pattern of growth than our family of polynomials. We will work this week on our exponent rules and try to solidify your ability to accurately perform operations with expressions that contain rational exponents. Please find guided notes below as well as relevant videos and online resources. For online practice or general resources please check the tabs at the top of the screen entitled, "online practice" and "online resources". Every week until June 17th, I will post the Scratch project guidelines and a link to a scratch reference guide. This project is available to all juniors for bonus.

Blank Guided Notes (special thanks to CCS):

Reference Sheet:

Videos:

Homework:

Scratch Project:
 Reference Guide Project Outline

Precalculus is reviewing for finals and getting geared up for a strong finish. The link below are some self-practice tests on the topics we covered this year. There are alse paper and pencil tests that have keys as well if you don't want to stay online to take the web-based exams. Also, don't forget about Khan Academy--a good place to review those basic skills.

Practice Exams, 1
Practice Exams, 2
Practice Exams, 3

## Friday, May 6, 2011

### Week 35

Algebra II will be doing some exploration of rational functions from The College Board. One is intended to review their prior knowledge of rational functions and apply it to solve a problem. The other is a review of polynomials applied to running a business and analyzing profit, revenue, and cost. I hope they enjoy it!! See the graph at right from the Rodale Institute explanation of effective pricing.

As promised, I have included a fourth quarter bonus project that allows interested students to get credit as well as learn some of the basics of computer programming using MIT's Scratch. Here is a on all aspects of the program as well as a wiki hosted by scratch that contains examples for blocks of code. Please find the project outline attached below. If you have any further questions just e-mail me!

Algebra II and Precalculus both have exams on Monday!!! Please take some time this weekend to prepare. Use the information on the blog from previous posts to help guide your studies.

Algebra II review packet:

The homework for this week is solving rational equations, which will help you review all the basic operations involved with rational expressions as well as solve them.

Precalculus is reviewing for finals and getting geared up for a strong finish. The link below are some self-practice tests on the topics we covered this year. There are alse paper and pencil tests that have keys as well if you don't want to stay online to take the web-based exams.

Practice Exams, 1
Practice Exams, 2
Practice Exams, 3

Here are two previous exams from early in the year to start reviewing!

## Friday, April 29, 2011

### 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!

Bonus:

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:

*Modified from University of Houston

## Friday, April 15, 2011

### 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: