Friday, December 4, 2009

November 16-24

Monday – Tuesday (11/16 – 17)
*Work on related rates problems as assigned 11/9 – 11/13

Wednesday (11/18)—Early Release (No class)

Thursday (11/19)
*Pop Quiz (sec 2.6)
*Begin chapter 2 review in preparation for the chapter 2 test (11/24)
*Chapter 2 review: page 158 #1, 4, 5 – 35 odd, 39, 41 – 53 odd, 59, 60, 61, 63, 65, 91, 99, 101, 102, 110


Friday (11/20)
*Related rates and chapter 2 review continued


Monday (11/23)
*Related rates quiz
*Continue working on chapter 2 review

Tuesday (11/24)
*Chapter 2 Test
*Receive Thanksgiving AP Packet!

Monday, November 9, 2009

November 9 - 13, 2009

Monday, 11/9--Wrap Up 2.5
*Clean up and finish up section 2.5 assignments
*Gray implicit differentiation worksheet due Wednesday (11/11)
*Sec 2.5 Quiz Tuesday

Tuesday, 11/10--Sec 2.6 Related Rates
*Sec 2.5 Quiz
*Essential Question: How can calculus be used to solve real life applications where we want to maximize or minimize an outcome?
*Objective: Apply the definition of the derivative to problem situations involving related rates of change.
*Assignment #1: pages 154 - 157 #1-7 odd, 13, 15, 19, 21
*Begin work on sec 2.6 related rates homework worksheet (Due Thursday)

Wednesday, 11/11--Sec 2.6 cont'd
*Gray implicit differentiation worksheet due today!!!
*Assignment #2: pages 154 - 157 #17, 23, 25, 27, 31, 33, 35

Thursday, 11/12--Sec 2.6 cont'd
*Related rates homework worksheet due today
*Sec 2.6 worksheet

Friday, 11/13--Sec 2.6 cont'd
*Related rates concept check quiz
*Related rates classwork worksheet (due Tuesday)
*Assignment #3: pages 154 - 157 # 43, 45, 47, 54
*Study for sec 2.4, 2.5, 2.6 test (Tuesday)

Monday will be test review day; Wednesday (11/18) is early release (no class)

Note: All section 2.6 assignments are due on the day of the test.

Tuesday, November 3, 2009

Friday, October 30, 2009

November 2 - 6

Monday, 11/2--Mini Test 2.1-2.4
*All assignments for section 2.4 are due today
*Non-calculator test!!!
*Homework--put final touches on the 1985 AP Practice Exam MC section you received Wednesday 10/28 (submit on 11/3)

Tuesday, 11/3--Sec 2.5 Intro--Implicit Differentiation
*Submit Practice AP MC Exam (1985)
Section 2.5 Essential Question: How can you take a derivative if y is in the problem more than once? What does it mean that the relationship between x and y is implied rather than explicitly stated?
Section 2.5 Objectives: Differentiate implicitly defined functions
*Notetaking Guide & Examples
*Assignment: page 146-148 #1-19 odd

Wednesday, 11/4--Sec 2.5 cont'd
*Assignment: page 146-148 #4, 6, 10, 18, 20, 25, 27, 29, 31

Thursday, 11/5--Sec 2.5 Cont'd
*Assignment: page 146-148 #45-50 all; 57, 58;

Friday, 11/6--Sec 2.5 Wrap Up
*Assignment: worksheet 2.5

Study for quiz on 2.5 (Monday 11/9)

October 26 - 30, 2009

Monday, 10/26--(I have Jury Duty!)
*Complete worksheet 2.4
*Assignment: page 137-140 #41-59 odd, 67, 83, 85

Tuesday, 10/27--No Class (GHSGT Checkpoint Test)

Wednesday, 10/28--AP Exam Practice Questions
*Please bring the worksheet received on 10/16 with the Free Response Questions
*Complete the worksheet with sample multiple choice items

Thursday & Friday, 10/29-30--Wrap Up & Clean Up Sect 2.4
*Begin preparing for a Mid-Chapter test--Sections 2.1-2.4 (Monday)

Monday, 11/2--Mini Test 2.1-2.4
*All assignments for section 2.4 are due today
*Non-calculator test!!!
Be able to:
1. Find the derivative using the limit process
2. Find the slope of a line at a point
3. Find the derivative of a function using the rules for derivatives
4. Determine the points at which the graph has horizontal tangents
5. Apply derivatives to position, velocity, and acceleration problems
6. Use the product rule and quotient rules to differentiate functions
7. Find higher-order derivatives
8. Find the derivative of composition functions using the chain rule

Tuesday, 11/3--Sec 2.5 Intro--Implicit Differentiation
*Notetaking Guide & Examples
*Assignment: page 146-148 #1-19 odd

Tuesday, October 20, 2009

Online Calculus Tutorial

Click the link below. Select the folder of the topic you would like to view so the lessons will appear.

http://www.curriki.org/xwiki/bin/view/Coll_NROCMath/APCalculusABI?bc=

Thursday, October 15, 2009

October 19 - 23, 2009

Monday, 10/19--Sec 2.3 part 3
*Q&A on previously assigned section 2.3 problems (see 10/15)
*Higher Order Derivatives--notes and examples
*Assignment (due Wednesday 10/21): page 126 #93-101 odd, 103, 109, 111, 112, 115, 116, 117, 119, 120

Tuesday, 10/20--Sec 2.3 Wrap Up/Recap
*Q&A on section 2.3 concepts
*Worksheet 2.3
*Prepare for section 2.2-2.3 quiz for Wednesday

Wednesday, 10/21--Quiz Sec 2.2-2.3
*Q& A--acceleration
*Quiz (20 minutes)

Thursday, 10/22--Section 2.4 The chain rule
*Section 2.4 Intro (notetaking guide)
*Assignment: page 137-140 #7-21 odd

Friday, 10/23--Sec 2.4 part 2
*Submit all assignments for section 2.3 on page 126
*Examples for the general power rule
*Assignment: page 137-140 #23-35 odd

October 12 - 16, 2009

Monday, 10/12--Prepare for Mini Test on 2.1-2.2
*HW Review /Q&A
*Complete the notetaking guide for section 2.2 (page 4)
*Recap--sample problems from 2.1-2.2
*Sec 2.3 Part 1--Notetaking Guide (the product rule)
*Homework--study for 2.1-2.2 Mini Test; complete the average velocity and instantaneous velocity worksheet for Thursday; try to complete page 126 #1-5 odd, 13, 31, 35

Tuesday, 10/13--Sect 2.1-2.2 Mini Test
*Mini Test Administration (25 minutes)
*Section 2.3 part 1-- the product rule (notes and examples)
*Complete page 126 #1-5 odd, 13, 31, 35

Wednesday, 10/14--Early Release/PSAT Administration

Thursday, 10/15--Sect 2.3 part 2
*Sec 2.3--The Quotient Rule & Trig Derivatives (more notes and examples)
*"How Do We Measure Speed" worksheet due today
*Assignment--page 126 - 129 #7, 9, 15-33 odd (omit #11, 17, 31)
*Assignment: page 126 - 129 #39-53 odd, 63, 73, 81
*Due Wednesday 10/21: page 126 #93-101 odd, 103, 109, 111, 112, 115, 116, 117, 119, 120

Friday, 10/16--AP Exam Practice Questions
*Select MC and Free Response AP Questions on material we have covered thus far

Friday, October 9, 2009

Section 2.3: Product and Quotient Rules and Higher-Order Derivatives

Essential Questions:
1. How do you find the derivative of an expression involving a product or quotient of two differentiable functions?
2. Can you differentiate all six trigonometric functions?
3. How do you find a higher-order derivative of a function? How do you notate these derivatives?

Objectives:
1. Use the product and quotient rules to calculate derivatives.
2. Apply derivatives rules to higher-order derivatives

Tuesday, October 6, 2009

Guess What Guys!!

I typed "derivative rules practice" in my Google toolbar and this is what popped up as the first result! This is great!!!

http://www.the-mathroom.ca/freebs/cald6/cald6.htm

Need Extra Help?

Check out this link for extra help and practice!

http://online.math.uh.edu/Math1431/

Saturday, October 3, 2009

Sec 2.2 Basic Differentiation Rules and Rates of Change

Essential Questions:
*How do you utilize the various differentiation rules to determine the derivative of a function?
Constant rule, Power rule, Constant multiple rule, Sum and difference rule, Trigonometric derivatives (Sine and Cosine)
*How do instantaneous and average rates of change compare?
*What do we mean by instantaneous rate of change?
*Can you use rates of change to determine the velocity, speed, acceleration, and jerk of an object?

Objectives:
(1) Use the Constant Rule, Power Rule,Constant Multiple Rule, and Sum and Difference Rules as short cuts to differentiate functions.
(2) Find higher order derivatives and apply them to problem such as speed, velocity, and acceleration.

October 5 - 9, 2009

Monday, 10/5--Section 2.2 (pgs. 107 - 112)
*Rules for Differentiation: the Constant Rule, the Power Rule, the Constant Multiple Rule, the Sum and Difference Rules, Derivatives of Sine and Cosine Functions
*Homework Assignment: page 115 - 118 #3-21 odd, 39 - 53 odd

Tuesday, 10/6--Section 2.2 part 1 (cont'd)
*Homework Review/Q & A
*Practice with rules for differentiation
*Classwork: Worksheet 2.2
*Overview of 2.2, part 2 using the "How Do We Measure Speed?" handout from 10/2;

Wednesday, 10/7--Section 2.2 (pages 113 - 114)
*Rates of Change: the position function, average velocity and instantaneous velocity
*Discuss "Try These" problems from "Speed" packet
*Homework Assignment: Average Velocity and Instantaneous Velocity worksheet

Thursday, 10/8--Section 2.2 Review
*HW Review/Q&A
*Review for Test on 2.1 and 2.2 (Test will be administered Monday)
*Homework Assignment: page 116 - 118 #57-65 odd, 67, 68, 89, 91-96 all

Friday, 10/9--NO SCHOOL

Sec 2.1 Video: Sketching the Derivative of a Function

Tuesday, September 29, 2009

September 28 - October 2

Monday, 9/28--Section 2.1--The Definition of the Derivative and the Tangent Line *Submit Chapter 1 Spiral worksheet
*Essential Question: What is the relationship between the slope of a secant line to a curve and the slope of a tangent to a curve?
*Find the derivative using the limit process
*Find the slope of the line tangent to a curve
*Homework Assignment: page 104 #5-21 odd

Tuesday, 9/29--Section 2.1 (Cont'd)
*Essential Question: What is the derivative of a function at a point and how is it related to the tangent line? How can we determine if a function is differentiable over an interval?
*Calculus Phobe video on the derivative: http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv01.html
*Homework Review/Q&A
*Using GC to find the derivative at a point
*The alternative form of the derivative
*Homework Assignment: page 104 #12-24 even, 71, 77,79; Read pages 101-103


Wednesday, 9/30--GHSGT Writing--NO PERIOD 2
We will still have the Calculus Study Group afterschool from 3:50 - 5:00 pm! Show up if you need help.

Thursday, 10/1--Sec 2.1, part 3...Differentiablity and Continuity
*HW Review
*Investigate the relationship between differentiability and continuity
*Sketch the graph of f'(x) given f(x)
*Homework Assignment: page 104 #37-40, 81-87 odd
*Study for a quiz on section 2.1 (this will be a homework quiz; the quiz questions will come from the homework assignments for this section)

Friday, 10/2--Sec 2.1 summary
*Recap differentiability and continuity
*Video on sketching the derivative
*Sec 2.1 Homework Quiz
*Homework Assignment: "How Do We Measure Speed" handout; read pages 70-74; complete the "Try These" problems #1-6

Sunday, September 27, 2009

Section 2.1 Video: The Definition of the Derivative

Section 2.1 Video: Finding the Equation of a Tangent Line

TI Graphing Calculator

Here is a site that lets you download a TI Emulator to your computer like the one I use in class. This will be helpful for those of you who still do not have a graphing calculator at home!!http://dkarasmath.googlepages.com/tiprograms

Please be advised that I am not associated with the information contained on the page for the link. I found it through a search. I am not responsible and will not be liable for any information found on the page link.

Monday, September 21, 2009

September 21-25

Monday, 9/21--
*Q&A Trig exercises
*Complete the Trigonometry Review Wksh for Tues
*Receive Spiral #1 & #2 for chapters P & 1--Chapter P due Friday, 9/25; Chapter 1 due Monday, 9/28

Tuesday, 9/22--NO SCHOOL (INCLEMENT WEATHER)

Wednesday, 9/23--QUIZ & Sec 2.1 Activity
*Trigonometry Review Quiz

Thursday, 9/24--Sec 2.1 Intro
*Functions warm up #1 (handout received in class)
*Discuss how finding the slope of a curve leads to the use of the derivative
*Complete Spiral Worksheet for Chapter P

Friday, 9/25--Sec 2.1 cont'd
*Functions warm up #2
*Homework--Complete Spiral Worksheet for Chapter 1
*Average velocity vs. Instantaneous velocity exercises

Friday, September 11, 2009

September 14 - 18

Monday, 9/14--
*Submit the chapter 1 review sheet
*Submit Sec 1.3 Limits worksheet
*Chapter 1 test

Tuesday, 9/15--
*Practice with limits!!!
*Worksheets:
*NAG Limit Calculator Lab
*Continuity worksheet
*Review of Limits matching worksheet

Wednesday, 9/16--EARLY RELEASE
*Chapter 1 test revisited
*Review of Trigonometry--
Essential Question: How can I identify and apply properties of trigonometric functions?
Objectives: Review of unit circle trigonometry, graphing trigonometric functions, and
solving trigonometric equations
*Assignment: Appendix D, page D25-27 #1-21 odd

Thursday, 9/17--
*Review of Trigonometry continued...use even numbered problems from D25-D26 as examples

Friday, 9/18--
*Review of Trigonometry--solving trig equations
*Assignment: Appendix D, page D25-D27 #27-45 odd
*Assignment: Trigonometry Review worksheet due Monday 9/21

Thursday, September 10, 2009

Need more help with Chapter 1?

I went to YouTube and typed "evaluating limits" in the search bar and this is one of the results that I received :
http://www.youtube.com/view_play_list?p=4AADFF44443B8E60&search_query=evaluating+limits

I hope you find this helpful!

Tuesday, September 8, 2009

Limits and Continuity

Limits & Continuity of Functions
When is a function continuous? Is the function graphed below continuous? No it isn't. Find out this week what continuity means and how it applies to Calculus.

Saturday, September 5, 2009

September 7 - 11

Monday, September 7--NO SCHOOL!!!!! You should still study though!

Tuesday, September 8--
*Submit page 67 and any other outstanding work from sections 1.2 and 1.3
*Begin Section 1.4--Continuity and One-Sided Limits; Since we have already discussed one-sided limits (limits approaching c from the left and the right) we will only spend 1 day on this section.
*Assignment--page 78 #1-6 all, 7-19 odd, 25, 28, 30, 33, 37, 41, 43, 47, 49, 53, 63, 66, 69, 71, 76, 79, 84, 92, 95
We will begin discussing these problem on Wednesday. They will be due by Thursday.

Wednesday, September 9--
*Q&A-page 78 assignment
*Receive Chapter 1 review sheet and limits worksheet (section 1.3) in class
*Section 1.5--Infinite Limits
*Assignment--page 88 #2, 5, 13, 19, 21, 31, 33, 42, 43, 50, 55, 57, 63 (This will not be collected; however, you should still attempt the problems for practice with the content. We will discuss. It will be most helpful if you know what you don't understand so you can ask questions.)

Thursday, September 10--
*Recap and review!
*Submit page 78 (section 1.4)

Friday, September 11--
*More review!!!
*The section 1.3 Limit worksheet will be due on Monday

Monday, September 14--
*Submit the completed chapter 1 review sheet that was received on Tuesday
*Chapter 1 test




Select Answers to Page 67...

I have worked out several problems from the assignment on page 67 (section 1.3). The worked out solutions can be found in the document folder. See the link to the left.

Tuesday, September 1, 2009

Need Help with Limits???

Visit the following site for additional help with limits:

http://archives.math.utk.edu/visual.calculus/1/index.html

There you will find tutorials, quizzes, drill and practice and visual demonstrations of the concept of a limit.

Please note that we are not covering the formal definition of a limit. Anything dealing with delta and epsilon are irrelevant to our discussions.

Monday, August 31, 2009

August 31 - September 4

Monday-
*Chapter P tests returned with answer key; use the key to review your test to see what simple errors you could have avoided; if there are larger issues that you have with a concept, please join me on Wednesday morning or afternoon for extra help
*Begin section 1.2; since we're having technical difficulties with the internet, you may want to view the videos from home that I've been trying to show for the past 2 classes; the links are below:
http://www.calculus-help.com/funstuff/tutorials/limits/limit01.html
http://www.calculus-help.com/funstuff/tutorials/limits/limit02.html
http://www.calculus-help.com/funstuff/tutorials/limits/limit03.html

Please take time to view all three videos. They are great! (and I'm not just saying that because I love math!!!)

Tuesday--
*Wrap up section 1.2; do problems 9-28 on page 55 (must be submitted by Friday)

Wednesday--
*Section 1.3--finding limits algebraically
*Limits worksheet #1 (blue paper)--due Thursday
*Limits wksh on tables--due Friday

Thursday--
*Section 1.3 continued
*Assignment page 67 #5-25 odd, 27-36 all, 45 - 77 odd--due Tuesday, Sept. 8

Friday--
Quiz--Sec 1.2-1.3
An unexpected fire drill halted our plans to review selected problems from page 67, so I have posted selected answers in the Document folder.
I'm in the process of making the doc folder more organized by putting files into relevant folders. Check the chapter 1 folder for chapter 1 documents!

Saturday, August 29, 2009

Introduction to Limits

We will begin our study of Calculus by exploring Limits.
Essential Question: What are limits and how are they used in Calculus?

Note: It is imperative that you do daily assignments as the concepts you will study from here on out are totally new!

Monday, August 24, 2009

Agenda 8/24 - 8/28

Monday--Submit the PreCal Review Worksheet
Complete pages 4 - 7 of the chapter P guided reading notes

Tuesday--Review/Q&A PreCal Review
Discuss the remaining topics from chapter P (odd/even functions, transformations, compositions of functions); Homework--pgs. 27-30 #17-27odd, 47-52, 57, 59

Wednesday--Chapter P Test --moved to Thursday!!!
Homework review; Chapter P test details revealed

**UPDATED:
Thursday--Chapter P Test;
Homework--Transfomations worksheet (will be uploaded afterschool on 8/27)-- Due 8/31/09

Section 1.2--estimate limits numerically and algebraically; learn ways that limits fail to exist; Homework--worksheet

Friday--Unit Circle Quiz; Section 1.2--estimate limits numerically and algebraically; learn ways that limits fail to exist; HOMEWORK--Limits worksheet


There will be a quiz covering 1.2 and 1.3 next week. Study, study, study

Answers to PreCalc Assignment

I'm sure you're wondering where the answers are for the assignment. I am just leaving Open House (9 pm) and I have not had a chance to scan and upload them. With that in mind and the late hour of the night, I will have a hard copy available for you tomorrow in class.

I do apologize for any inconvenience. Tonight ran a lot longer than I expected.

See you in the morning.
Sent from my BlackBerry® smartphone with SprintSpeed

Wednesday, August 19, 2009

Upcoming Assessments

The following assessments were announced in class on Tuesday, August 18, 2009:
  • Pre-Calculus Review Test--Wednesday, August 26
  • Unit Circle Quiz--Friday, August 28

The review sheet for the precal review test was given out in class on 8/18/09. The review sheet has 29 questions. The review sheet is due Monday, August 24th.

The unit circle quiz will require you to fill in the missing radians and degree measures, and values of sine and cosine on a blank unit circle.

Tuesday, August 18, 2009

Agenda August 17 - 20

Monday--Overview of section P-1; homework: complete #64 and 65 on page 8
Tuesday--(Senior Class Meeting):
  • multiple handouts received (visit link for Class Documents and Handouts for access)
  • Precalculus review sheet due Friday, August 21 (This date was modified...the packet is now due on Monday, August 24th!!!)

Wednesday--Section P-3

Thursday--Section P-3 (cont'd)--Homework Quiz; evaluating functions #3-6 section p-3

Friday--P-3

Handout: 8 functions; notes on transformations; requiz on HW questions from 8/20/09

August 13 Documents

Use the link below to access the blank unit circle and "Skills Needed for Calculus" handouts received in class.

http://sites.google.com/site/pbrownchs/

Friday, August 14, 2009

Tutorial Schedule

Tutorial will be offered at the following times:

*Wednesday 7:45am - 8:20 am (all students welcome)
*Wednesday 3:50 - 5:00 pm (Calculus students only)

The sweep bus will be running each afternoon.

Precalculus Review Material

Access practice questions for equations of circles using the link below.

http://www.regentsprep.org/Regents/math/algtrig/ATC1/indexATC1.htm

This site provides a lesson and practice questions. The answers can be viewed with a simple click of the mouse on the practice page.

Wednesday, August 12, 2009

Required Materials

The following are required materials for AP Calculus:

3-ring binder
dividers
graph paper
notebook paper
writing utensils
TI-83/84 Graphing Calculator

Aug 12--HW Assignment

You can access information for appendix D using the following link: http://college.cengage.com/mathematics/larson/calculus_analytic/8e/resources/appendices.html

The assigned problems for Wednesday (due Thursday) are as follows: page D8: # 16, 17, 20, 21, 22, 27, 32, 33, 41, 44.

Saturday, August 8, 2009

Summer Assignment

The summer assignment received in May is due no later than Wednesday, August 12, 2009. If you have misplaced your assignment, send me an email at brownp@fultonschools.org and I will forward you a copy.