Need help with Area Under a Curve?

Numerical integration tutorial!

http://archives.math.utk.edu/visual.calculus/4/approx.1/index.htm

This one is great! http://www.teacherschoice.com.au/Maths_Library/Calculus/area_under_a_curve.htm

Can you match the graph of a function with its derivative?

Can you match the graph of f with the graph of f ' ? Test your knowledge using this link: http://www.univie.ac.at/future.media/moe/tests/diff1/ablerkennen.html

Watch Instructional Videos on Brightstorm

Use the link below to reference great math instructional videos!

http://www.brightstorm.com/d/math

Can you distinguish the graph of f from f ' and f ''?

Given three graphs, do you know which one represents f, f ' and f ''? Test your skills here: http://archives.math.utk.edu/visual.calculus/3/graphing.3/index.html

Practice Problems

Try this link for practice using the first derivative: http://archives.math.utk.edu/visual.calculus/3/graphing.5/index.html


Check out this site for more information on the second derivative: http://ltcconline.net/greenl/courses/105/CurveSketching/SECTST.HTM

For more practice recognizing increasing/decreasing, maximum/minimum, concave up/concave down, and points of inflection click here: http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/graphingdirectory/Graphing.html

Agenda: January 11 - 22 (REVISED)

January 11: Section 3.5 (pgs. 198 – 208)
Essential Question: How can I describe asymptotes in terms of limits involving infinity?

Objectives:
· Determine finite and infinite limits at infinity.
· Learn rules for finding horizontal asymptotes.

Assignment: Page 205-208 #1-8 all, 17-33 odd, 55, 59, 71 (Due Jan. 12)
Take Home Quiz on Sec 3.1 – 3.4 Due January 12

January 12, 14-15: Section 3.6 (pgs. 209 – 217)
Essential Question:
· What does the first and second derivative tell us about the behavior of a function?
· What can the second derivative tell us about the shape of a curve?
· How can you use derivatives and your calculator to sketch a graph?

Objectives:
· Analyze and sketch the graph of a function using “Pic Said.” (“PI”=pts of inflection, “C”=critical #s, “S”=symmetry, “A”=asymptotes, “I”=intercepts, & “D”=domain)

Assignment: Page215-217 #1-5 all, 7, 15, 19, 21, 25, 29, 31 (Due Jan. (13) 15)
Assignment: Page 215-217 #33, 39, 47-52 all, 67 (Due Jan. (14) 19)

January 19-21: Section 3.7 (pgs. 218 – 228)
Essential Question: How can calculus be used to solve real life applications where we want to maximize or minimize an outcome?

Objectives:
· Solve applied real-life minimum and maximum problems.
· Students will orally present to the class assigned max/min problems.

Assignment: Page 223-228 #1, 2, 3, 6, 9, 11 (Due Jan. 20)
Assignment: Page 223-228 #13, 19-29 odd (Due Jan. 21 )
Max/Min Problem Presentations--January 22
Take Home Quiz on Sections 3.6 - 3.7 Due January 22


January 22: Ch. 3 Review (pgs. 242-244)--Due January 25
Review for Chapter 3 Test (Sections 3.1-3.7)
In class discussion of the following problems: Page 242 #1, 2, 5, 8, 9, 11, 15, 17, 19, 21a-b, 23, 24, 25, 27, 33, 35, 37, 41, 43, 49, 51, 57, 71, 75, 79,

Chapter 3 TEST January 26

Need a Review?

http://www.curriki.org/xwiki/bin/view/Coll_NROCMath/APCalculusABIUnit4ApplicationoftheDerivative?bc=;Coll_NROCMath.APCalculusABI
Check out the link above for a review on the following topics:
*Lesson 27--Related Rates
*Lesson 28--Relative Extrema & the First Derivative Test
*Lesson 29--Concavity & the Second Derivative Test

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!

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.

Guess What I Just Found???

Another great resource! Check it out for yourself: http://www-math.mit.edu/~djk/calculus_beginners/index.html

Let me know what you think!