Final Project Info

Calendar, topics, rubric, etc.

Pre-Game Time!

Ok... So Wednesday is Game Day... are you psyched???

First, please take a look at this commentary on the Free Response Question section from the exam readers- none of it should be new information!

Next, look through this advice from long time teacher and reader Dan Kennedy. Note that his advice on multiple choice guessing is dated- since there is no longer a penalty for guessing, you should answer *every* question.

For the rest of today and tomorrow:

• If you haven't finished Supercorrections, do so now! Submit all your Supercorrections (no need to give me the question papers) and original free response work stapled by 3 pm Tuesday. Late work will *not* be accepted.
• Haven't taken the trig quiz? Take it by 3 pm Tuesday!
• Haven't submitted your Unit 6 IW? Do it by 3 pm Tuesday!
• Want to play a review game with a partner? How about Leap Frog first and second derivative test practice? Leap Frog graphs and tables? Leap Frog velocity, speed, acceleration? Or a new "Find the Mistake" game...
• Speaking of Find the Mistake, here's the website with all the mistakes to find.
• Still haven't gained proficiency in Khan Academy product rule, quotient rule, or chain rule? Do it now!

Go to bed early Tuesday night. Eat a good breakfast and bring a snack. Have extra AAA batteries just in case...

Good luck and have fun!

Shower Time!!!

Ok... time to make sure you've got it all memorized!

Here's a good set of flashcards from a former colleague of mine, Mr. Eric Krieckhaus:

http://www.flashcardmachine.com/708583/v48x

A couple things to note about this set... 

1. Don't worry about Term 43- it's not on the exam (it's called the Integration by Parts formula). Someone will teach you about it during the post-exam project time...
2. Some of the terms aren't critical to memorize, as they aren't that commonly asked and can be derived if necessary, but why take the time to derive if you can memorize? If you aren't going to memorize, be sure you know how to derive!
3. The antiderivatives involving logs can be written in different forms. You know that my preference is to keep tangents and secants together and cotangents and cosecants, but Mr. Krieckhaus doesn't seem to share that same preference...
4. If you need a refresher on Term 46 (the Mean Value Theorem for Integrals), try this.

Here are three other Quizlet flashcard sets that seem pretty good:

http://quizlet.com/22483238/ap-calculus-flash-cards-flash-cards/

http://quizlet.com/22474219/ap-calculus-terminology-flash-cards/

http://quizlet.com/22474375/ap-calculus-final-review-flash-cards/

Quiz yourself!!!

Unit 6 Test results

Unit 6 Test MCQ Part A

See how the 2011 AP Calculus students did on their Unit 6 Test (along with their actual AP score):

2011 AP Calculus student results

Unit 6 Test MCQ Part B

2011 AP Calculus student results (including their predicted AP exam scores based off this Unit 6 test)


Here are the percentages correct for 60 O'Brien AP Calculus students:

Percentage correct of 60 O'Brien AP Calculus students

APPass Calculator

Use this online calculator to play the "what if" game...

Final Opportunity Day Answer Sheets!!!

Section 1, Part A
Section 1, Part B

No laptop?

IW #4

IW #5

Spring Break IW

Khan Academy Revision

When you work on these Khan Academy calculus revision sets, please make sure you are logged in. Aim for "proficient" in all 15. You are proficient when the star next to the set is colored in...

3 limit sets (the ones with stars)
10 derivative sets (the ones with stars)
2 application of derivative sets (the ones with stars)

AP Exam advice...

Read this and share your thoughts in the comments below...

http://mathforum.org/kb/thread.jspa?forumID=63&threadID=2374845&messageID=7810027#7810027

Trigonometry quiz

Here is the ThatQuiz link:

Period 2
Period 4

Your ThatQuiz score is automagically sent to me.

Here is the Quizlet link.

You will need to to show me your Quizlet score.

AP Exam Revision- Shared Revision Document & 1998 MCQ

Shared Revision Document

Exam description and practice multiple choice questions.

1998 MCQ Part A

Do the 1998 MCQ Section I Part A. This consists of 28 non-calculator questions to be done in 55 minutes. It begins on p. 131 of this PDF (the page numbered page 125):

1998 MCQ exam

Please do your work in your notebook and at the end of class, submit your answers using this answer sheet:

Answer sheet

I will email you your score by the end of the day. See how the 2011 AP Calculus students did at the start of their exam revision period:

2011 AP Calculus student results

We will go over the test in small groups. Here are the percentages correct for 60 O'Brien AP Calculus students (taken at the start of the AP revision time):

Percentage correct of 60 O'Brien AP Calculus students

If you are going for a five, pay attention to each one you missed. If you are going for a 3 or a 4, focus on the ones that you missed that a high percentage of the class got correct.

1998 MCQ Part B

1998 MCQ exam

Answer Sheet

2011 AP Calculus student results

Percentage correct of 60 O'Brien AP Calculus students

Volume links

Volume of revolution

Volume of revolution with a hole

Volume with known cross sections

Volume with known cross sections applet (needs plug-in but worth it...)

Volume with known cross sections image gallery

U-substitution practice

Practice problems with solution for u-substitution:

http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/usubdirectory/USubstitution.html#PROBLEM 1

Quadratic Regression

Mr. O'Brien is off at the math meet. Please do p. 390/25 and 27 in class from IW #2.

Since #25 makes use of the regression calculator, please refer to these videos from Period 2:

Part 1
Part 2

I suggest watching them as a class and then referring back to them if you get stuck doing a particular step.

Blog Post Monday, February 4th

Hi guys-

Little Lu Rocket has the stomach bug, so I'm home with her today.



To begin class, I'd like everyone to quietly read Thursday's blog post. There's a lot going on here...



After, I'd like everyone to take a look at IW #7. There are a couple questions posted online- I've done my best to help with these. If others arise that you're unable to sort through as a class, please be sure to post them so that we can look them through together.



Next, I'd like you to think about something. We've been working with functions throughout high school- adding them, subtracting them, multiplying, dividing them, and even composing them- but we've never actually talked about a function's average value... until today! Over an interval of values x = a to x = b, a function can give out a number of different values. With your table partner, please think about this question:

• How do you think we might define a function's average value? For example, if we looked at the function f(x) = x – 1 from x = 1 to x = 5, what might it's average value be?

Your work today in class is part of IW #8. Jot your thoughts on a fresh sheet of paper (entitled IW #8), and then open this sketch in Geogebra. Please answer the following questions on your IW #8 paper:

• What is the average value of this function from x = 2 to x = 5? Can you find a pattern for the average value?
• Change the function to a different linear function- does your observation hold?
• What if the function is constant? Try f(x) = 3.
• Try the function f(x) = x^2 – 1 for x = 1 to x = 3. Does your explanation still hold?
• Use the check boxes- see if that helps you explain what's going on.
• Play with the sketch- try a sinusoidal function, etc. Use Command-E to see how I created the average value of the function f on the interval [a, b]. Check your definition with the one on page 291 in your text book.
• Read about the Mean Value Theorem for Definite Integrals on p. 291-2.
• Do Exploration 1 on p. 292 on your Geogebra sketch first (using different values of r) and then by setting up integrals.

Changing gears, please do this exploration of definite integral properties with your table partner. If you hate trees, feel free to print a copy. Otherwise, use the screen copy, and write your answers on IW #8. Check your answers on p. 289 and here.

You may now do the text book problems from IW #8 (see iCal).

Midterm Answer Sheet

Midterm Answer Sheet

Jan. 9 Links

IW #3 Classwork problems

Jan. 7th Links

In class problems

Wow. Just wow.

From Duncan:

http://www.itsokaytobesmart.com/post/16530098836/mind-melter-of-the-day-it-turns-out-that-if-you

and a bit of the background...

http://www.youtube.com/watch?v=daro6K6mym8

Blank U3 test

Blank copy

Use to help with Supercorrections!

Unit 3 Test Leap Frog Review Slides

Leap Frog game slides to review:

• Game 1 (words)
• Game 2 (tables & graphs)