Wednesday, January 20, 2010
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
Monday, January 18, 2010
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
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
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
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