BC+Archives

Archives of Previous Posting - AP Calculus BC   **__ Tuesday, 9/2/14 __** Today, students:
 * Shared the problems that they created over the weekend
 * Worked in groups on the Optimization Problem

**__ Wednesday, 9/3/14 __**

Today, students:


 * Reviewed the Optimization Problem
 * Learned how to evaluate limits graphically
 * Work on one of these three handouts:







**For homework, watch the video:**

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**__ Thursday, 9/4/14 __**

Today, students:


 * Reviewed the graphical limits
 * Completed the "Take it to the Limit" numerical limits activity.
 * Received [[file:Calc_PS_1.pdf|Problem Set 1]] - Due Monday, 9/8/14

**__ Friday, 9/5/14 __**

Today, students:


 * Learned how to evaluate limits algebraically.

Homework:


 * [[file:Calc_PS_1.pdf|Problem Set 1]] - Due TUESDAY, 9/9/14 - I will be out next Monday.
 * Complete this assignment on limits to infinity (for some of you the pdf version may open better)

**__ Tuesday, 9/9/14 __**

Today, students:


 * Learned how to evaluate limits to infinity.

** Homework: **


 * Complete the Limits Link sheet (front and back)

**__ Thursday, 9/1/14 __**

Today, students:


 * Learned the proper mathematical definition of __continuity__.
 * Identified different types of discontinuities

** Homework: **


 * Make a graph of a function that meets these criteria
 * Challenge: Write the piecewise equation for your function

**__ Friday, 9/12/14 __**

Today, students:


 * Worked on the "We Belong Together" Matching Lab

** Homework: **


 * Complete the WBT Lab Sheet (page 2)
 * Click on the link above to see the file. You will need this information to complete the assignment.

**__ Tuesday, 9/16/14 __**

Today, students:


 * Learned about the Intermediate Value Theorem
 * Learned the Bisection Method which applies the IVT

** Homework: **


 * Prepare for Test on Limits and Continuity

** Test: ** Your first test will be on Wednesday, 9/17.

Test Topics:

Topics on Test #1:

1.) Evaluating Limits Graphically

2.) Evaluating Limits Numerically

3.) Evaluating Limits Algebraically

4.) Limits to Infinity / asymptotes

5.) Definition of continuity at a point

6.) Intermediate Value Theorem

2 sections - Section #1 will be non-Calculator

- Section#2 will be Calculator active

**__ Wednesday, 9/17/14 __**

Today, students took a **test on Limits and Continuity**. Then, student received, which will be due next Wednesday, 9/14.

**__ Thursday, 9/18/14 __**

Today, students learned about the **limit definition of the derivative**. Students should complete the following problems for homework:

f(x) = 2x + 1 at x = 2

f(x) = 3x^2 at x = -1

f(x) = x^3 at x = 2

Also, don't forget, which will be due next Wednesday, 9/14.

**__ For Monday - 9/22/14 __**

Sorry about leaving unexpectedly yesterday. Here are three videos that I would like you to watch and take notes on for Monday.

Also, don't forget, which will be due next Wednesday, 9/14.

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**__ Monday - 9/22/14 __**

Today student learned about when a function is differentiable or not.

Also, is now due on Thursday, 9/25.

**__ Thursday - 9/25/14 __**

Today students learned:


 * ** The Product Rule **
 * ** The Quotient Rule **
 * ** How to write an equation for a tangent line **

Homework: Complete problem #89 on this.

I handed back the Unit 1 tests. for the test corrections procedure.

They even saw this neat version of the "quotient rule song":

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**__ Monday - 9/29/14 __**

Today students learned to a test on Introduction to Derivatives. They also received their textbooks.

** Homework: **

Read Section 3.6 on Trigonometric Functions and do exercises - p. 170, #1 - 19 ODD, 49 & 51.

for the test corrections procedure.

**__ Tuesday - 9/30/14 __**

Today students learned the derivatives for certain special functions, such as trigonometric functions and the base "e" exponential and logarithmic functions.

** Homework: **

Finish the handout.

Also, I handed out which will be due Monday 10/5.

**__ Wednsday - 10/1/14 __**

Today students did the "Make Your Own Crazy Chain Rule Problem" activity

** Make Your Own Crazy Chain Rule Problem! Design a function that has several "layers" to it [in other words, several functions within functions]. 1st, do the chain rule yourself for practice. 2nd, hand your function off to a partner and have him/her try to take the derivatve using the chain rule. 3rd, compare your answers. If they're different, why? **

** Homework: ** Finish your Crazy Chain Rule problem

Also, I handed out which will be due Tuesday, 10/7.

**__ Tuesday - 10/7/14 __**

Today students finished the "Which is Which" activity, then reviewed for tomorrow's test on derivatives:

Test Topics:

1.) Limit Def'n of Derivative

2.) Differentiability

3.) Derivative rules: Power, Product, Quotient & Chain

4.) Equation for a tangent line

5.) Transcendental Functions (5 MUST know)

6.) Position, Velocity & Acceleration

7.) nDeriv on graphing calculator

Review Exercises:

From the text - p. 207 #'s 5, 13, 17, 19, 29-47 ODD, 97, 111

Also, is now due tomorrow, 10/8.

**__ Thursday - 10/9/14 __**

Today students learned about Implicit Differentiation. We worked in class on the Implicit Differentiation packet.

__**Homework:**__ From you text, complete exercises - p. 185, #'s 17, 19, 27, 31, 35

**__ Friday - 10/10/14 __**

Today students completed Implicit Differentiation Free Response questions

** I will be on on Tuesday, 10/14 and Wednesday, 10/15. Please complete the assignment below for next week. **

__**Homework:**__

Read Section 3.10 - p. 192 - 194 (skip part on Hyperbolic Functions) - Do exercises p. 197, # 1 - 39 ODD

Read Section 3.11 - p. 199 - 203 - Do Exercises p. 204, # 1, 3, 5 - 8, and 9-15 ODD

**Friday, 10/24** **Monday, 10/27**

Today we went over solutions to some problems involving Position, Velocity and Acceleration.

Then, we began learning about Extreme Values

__**Quiz Tomorrow:**__ Related Rates and Linear Approximation

** Friday - 10/31/14 **

Today, students completed the. They also received, which will be Due next Thursday, 11/6.

** Monday - 11/3/14 **

Today, students learned about concavity and points of inflection and then how to use "special points" (absolute and local extema, inflection points) to sketch curves functions with surprising accuracy.

Homework: Students should sketch the function.

** Wednesday - 11/5/14 **

Today, students continued curve sketching.

Last Friday students received, which will be Due tomorrow, 11/6.

** Thursday - 11/6/14 **

Today, students continued curve sketching and then completed a free response question pulling together the ideas of f(x), f'(x) and f''(x).

**Homework:** Finish AP Free Response 2004 #4 form b.

** Wednesday - 11/12/14 **

Today, students learned about the derivatives of the Inverse Trigonometric Functions. We derived the formula for the derivatives of y = arctan (x) and then students found the derivative of y = arcsin (x).

**Homework:** In the text:

p. 191, #19-37 ODD and 41

** Friday - 11/14/14 **

Today, students reviewed for a test on Applications of Derivatives.

**Here are some practice problems from the text:**

p. 210, #105 & 113 & p. 294, # 5, 20, 31, 37, 63

**Test:** Tuesday, 11/18: Non-Calculator

Wednesday: 11/19: Calculator Active

Today, students worked on some problems. They should finish these for homewor, ** Thursday - 1/15/15 **

Today students continued reviewing for the midterm using our "Study Guide". Click the links below for screen shots of our review pages.




















 * Homework:** Study for midterm

For assignments from recent days please see below the calendar. For older assignments please visit the archives.

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** Monday - 11/24/14 **

Today, students used the Fundamental Theorem of Calculus Part 1 to find accumulations of quantities. We solved for integrals using geometric formulas. for last Friday's handout of FTOC and accumulation.

Also, I handed out which will be due after Thanksgiving.

for the test corrections procedure.

** Tuesday - 11/25/14 **

Today, students used Riemann Sums to approximate integrals. for today's handout.

Homework: Finish the multiple choice problems on the back of today's handout.

Also, I handed out which will be due after Thanksgiving.

** Wednesday - 11/26/14 **

Today I quickly introduce Anti-derivatives. I will talk it about it more on Monday as many students were involved with Spirit Day activities.

**Homework**: will be due the TUESDAY after Thanksgiving. We will also have a quiz that day.

** Monday - 12/1/14 **

Today we went over anti-derivatives again and then solved a free response accumulation problem. We will continue to work on this tomorrow.

**Homework**: will be due on Thursday.

** Friday - 12/5/14 **

Today students took the quiz on Intro to Integration (I was absent yesterday, so the quiz was moved back a day).

**Homework**: Read Section 5.5 pp. 337 - 341 and #'s 3, 19, 21 and TEST CORRECTIONS DUE MONDAY

** Tuesday - 12/9/14 **

Today students learned about the Fundamental Theorem of Calculus Pt. Deux

**Homework**: None

** Wednesday - 12/10/14 **

Today students completed four AP Calculus Free Response questions involving integration and the Fundamental Theorem of Calculus

2011 Form b #5

2011 Form b #6

2009 Form b #'s 1 & 2

Click here for a link to AP Calculus Free Response Questions

**Homework**: Complete 4 AP Free Response

** Thursday - 12/11/14 **

Today we went over the scoring for the four AP Calculus Free Response questions involving integration and the Fundamental Theorem of Calculus. Then, I introduced the first of three Special Integration Techniques - Integration by u-substitution.

Also, I handed out on Special Integration Techniques.

** Monday - 12/15/14 **

Today we learned about Integration by Parts, as well as how to determine when that method is appropriate to use (vs. u-substitution).

Homework: Complete the first page of the.

for the test corrections procedure.

** Wednesday - 12/17/14 **

Today we learned about integration by partial fractions.

** Homework: **


 * Complete the 2nd page of the Special Integration Techniques AP problem handout.
 * Problem Set 7 is due on Friday
 * Test Friday on Integration

Click here for on Special Integration Techniques.

** Thursday - 12/18/14 **

Today we reviewed for a test on integration.

We completed two free response problems: 2006 AB form b #6 and 2007 AB 2.

Also, here are some extra problems from your text that you could complete for additional practice:



** Homework; ** Problem Set 7 is due on Friday

Click here for on Special Integration Techniques.

** Friday - 12/19/14 **

** VERY SHORT WINTER BREAK ASSIGNMENT: **

Watch these two Khan Academy Videos on Area Between Curves and try to complete a quick quiz on the website. Click here for the quiz.

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** Monday - 1/5/15 **

Today I handed back the Unit 4 - INTEGRATION test. Students made revisions on the test.

** Friday - 1/9/15 **

Today we continued working on volumes of solids with known cross sections. Students received on Wednesday. This will be due on Monday.

** Monday - 1/12/15 **

Today students learned about volume of revolution. We will practice with these more tomorrow. No homework tonight.

** Tuesday - 1/13/15 **

Today students learned continued to work on volumes of revolution.

** Monday - 2/2/15 **
 * Homework:** Complete AP Free Response 2003 #1 and 2008 (form b) # 1

Hi folks, remember me? I'm Mr. Lippman your Calc teacher. So I figure that this "snow day" stuff has finally gone on long enough, and we have to do some Calculus if we're going to keep on pace. To that end, I am uploading a reading and assignment that will allow us to streamline our unit on Differential Equations considerably. Please go through this handout and do the problems at the end. I don't care if you print it out or do everything on in your notebook.

As for the unit on Area / Volume / Arc length, I still intend to quiz you on that the day AFTER we return to school. If we are back on Wednesday, then we'll have that quiz on Thursday. That's a long block, so I anticipate I quizzing for half the period and then moving on for the second half.



Also, here's a video from Khan Academy which you may find helpful. I recommend reading the handout first, then checking out the video if you're confused.

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** Wednesday - 2/4/15 **

Today students reviewed Area, Volume and Arc Length problems. We will have a quiz tomorrow on these concepts.

** Thursday - 2/5/15 **

Today students took a quiz on Area, Volume and Arc Length. They then learned about solving Differential Equations.

**Homework:** Finish two differential equations from class:

** Tuesday - 2/10/15 **

Hi folks. Hope that you are all doing well. I will not see you until Thursday because we are off today and period 1 drops tomorrow. Please do your best to complete the assignment below. It was originally designed for Feb break, but I figure that we can get started early.



** Friday - 2/6/15 **

Today students learned about Euler's Method, a method of numerical approximations for solution to differential equations.

**Homework:** Finish two free response: 2013 BC #5 and 2007 Form b #5

** Tuesday - 2/10/15 **

Hi folks. Hope that you are all doing well. I will not see you until Thursday because we are off today and period 1 drops tomorrow. Please do your best to complete the assignment below. It was originally designed for Feb break, but I figure that we can get started early.



** Friday - 2/6/15 **

Today students learned about Euler's Method, a method of numerical approximations for solution to differential equations.

**Homework:** Finish two free response: 2013 BC #5 and 2007 Form b #5

** Friday - 3/6/15 **

Today we went over yesterday's. Then, we began a review of polar functions.

__**Homework**__: Finish Free Response 2013 BC #2 for Monday.

** Wednesday - 3/11/15 **

Today we began our unit on Infinite Series. We discussed the Nth Term Test for Divergence and Geometry Series.

__**Homework:**__ Complete the Geometric Series problems from today's handout.

** Thursday - 3/12/15 **

Today we continued our unit on Infinite Series. We discussed the p-series and the alternating series test.

__**Homework:**__

In your text, read section 10.2 – p. 564-565. Then do p. 571 – Exercises # 1, 13-16, 19 – 31 ODD, 32, 33, 36

** Thursday - 3/26/15 **

Today we continued our unit on Taylor Series. Students learned how to write a Taylor Series with a center other than zero.

__**Homework:**__ Students received on convergence tests, due next Thursday 4/2/15.

** Friday - 3/27/15 **

Today we we learned about the Radius and Interval of Convergence of a Taylor series.

__**Homework:**__

1.) Students should complete the from class.

2.) Students received on convergence tests, due next Thursday 4/2/15.

3.) Students received the, which will be due next Thursday 4/2/15.

** Tuesday - 3/31/15 **

Today we we continued working on the Radius and Interval of Convergence of a Taylor series. Students received two AP Free Response problems involving interval of convergence.

__**Homework:**__

1.) Students received on convergence tests, due next Thursday 4/2/15.

2.) Students received the, which will be due next Thursday 4/2/15.

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