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
Monday, January 18, 2010
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
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
Wednesday, January 13, 2010
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
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
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!
*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.
*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
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!
Let me know what you think!
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)
*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
*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
Sunday, October 25, 2009
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