The Official SAT Question of the Day

Monday, November 29, 2010

Week 16

Precalculus is heading into a fast and furious review of rational functions! Please preview and review both the reference sheets as well as the powerpoint presentation below.


Rational Functions Reference Sheet:



Algebra II will continue to deepen their interaction with quadratics and expand their problem-solving repertoire. We will add both the quadratic formula and graphing to our solving skill-set. The little picture below is the summary of the entire week, graphically speaking. If you can understand this little picture then you've got it!

Reference Sheets:

Proof of Quadratic Formula:


Overview of Solving Quadratics
Quadratic Formula




Tuesday, November 23, 2010

Week 15

I hope everyone had a relaxing long weekend off and are back ready to work!

Don't forget bonus is due before we leave on holiday break! Try any of the problems and remember to cite any resources you used to solve the problems.

This Wednesday is World Aids Day and we will spend about 25 minutes on Wednesday looking at the data on HIV worldwide. Here is the link to the video that will inform our conversation:
HIV Worldwide Video

At this point in Algebra II our exploration of quadratics, students should be comfortable graphing and interpreting quadratic equations in multiple forms (standard, vertex, and intercept) as well as the process of completing the square. During week 15 we will complete our look at factoring and begin to solve quadratics by factoring and completing the square. Their are videos below that review previous topics as well as preview the upcoming factoring techniques we will cover in the coming week.

The homework for this week has already been given, but is included below as well. In addition, I have posted both the factoring decision tree as well as a cheat sheet that was compiled by Paul Dawkins for you use as reference sheets.

Factoring Powerpoint:

Solving by factoring and completing the square powerpoint:

Reference Sheets:






Algebra II Videos:
Factoring Overview
Solving by Factoring
Completing the Square

Precalculus will be examined Wednesday of this week over polynomials. Thursday we will begin a brief unit on rational functions, with particular attention to their graphs. Please find the homework for the week below as well as a reference sheet on polynomials.

Rational Functions Powerpoint:

Rational Functions Reference sheet:

Due Wednesday, December 1st:

Due Friday, December 10th:

Tuesday, November 16, 2010

Week 14

Algebra II is continuing with quadratics focusing on differing factoring methods and always connecting the consequences of algebraic manipulations on the graphical representation of a parabola. I have included the factoring help sheet that I handed out a week ago! Please use this to help you make decisions about how to factor a particular polynomial.

Reference Sheet:

Factoring Powerpoint:

Video Clips:
Review of Factoring
Factoring Complicated Expressions

1. LTF Area of Bounded Regions due November 23rd (hard copy only)
2. Thumbnail below is homework due December 3rd.


Precalculus will continue with polynomial expressions and focus on polynomial regression and modeling. This will rely heavily on the use of technology and interpreting outputs from technology. A keystroke guide to regression is represented as a thumbnail immediately below:


(LTF Document)


Tuesday, November 9, 2010

Quarter 2 (week 13)

We have officially moved into Quarter 2 and all of you (students) have a clean slate. It is important to remember what that means for you! Your grades from first quarter do not carry over to second quarter and that whatever you earn from this point forward will only average into your second quarter grade. Whether you have high or low first quarter marks, second quarter is a whole new world.

This week we will not have class on Wednesday for parent-teacher conferences and Thursday I will be away presenting at Amistad-Elm City High School. Thursday will be a day for independent practice and should be seen as an opportunity for much needed practice.

Algebra II started with some introductory descriptions of quadratic functions last week and are moving onto how to manipulate functions algebraically and how algebraic moments appear graphically. We will progress through the guided notes embedded below and as we explore them together I will post screenshots of our progress!
For Day 1 and 2 notes filled-in click
Reference sheets:


Precalculus will be continuing and finalizing their review of polynomial functions. We will look at college textbooks and their treatment of the topic as well as curve-fitting using polynomial regression. It is a short week so it will be a quick look.


Tuesday, November 2, 2010

Week 12

Precalculus continues their mastery of polynomials, with specific attention to roots and zeros of poly's. Here is a pic of a quartic polynomial, one of the polynmials will be looking at this week. If you have a chance, please pre-read the slides for polynomials. It will help you understand the material SO much more the coming week. You should start with 3.5 and finish with 3.8


Reference Sheets:



In Algebra II we will have an exam on Tuesday involving both the raw mathematics around solving systems of linear equations as well as traditional applications of systems. This exam, like those previous, will require you to understand systems numerically, graphically, and algebraically.

We will be starting our next polynomial function, quadratics, on Wednesday. Here is a pic of the graph of a quadratic called a parabola. Please find the short powerpoint on the graphs of quadratics, a reference sheet (we will complete it on Wednesday and I'll post the completed version then), as well as the homework! If you want to preview the upcoming material on quadratics the link below takes you to an excellent online text that describes them in detail!


Graphic Organizer Reference Sheet: