Weeks 34 though the end of the year (This begins with Monday April 25)
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
Check homework |
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Count Down: 6 days until the AP Test |
Review of applications of derivatives + differentials |
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Discussion of problems |
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Problem assignments P 155 #107-109, P 216 #15, 16, 18, P 233 #7-14, P 235 #22, 30 |
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Tues |
Questions???? |
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Count Down: 5 days until the AP Test |
Presentation of problems |
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Quiz on apps and differentials |
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Problems on integrals |
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Wed |
Check homework |
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Count Down: 4 days until the AP Test |
Review of integration techniques |
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Discussion of problems |
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Problems assignments |
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Thur |
Questions??? |
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Count Down: 3 days until the AP Test |
Presentations |
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Quiz on applications of integrals |
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Problems – apps of integrals |
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Fri |
Check homework |
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Count Down: 2 days until the AP Test |
Review of applications of integrals |
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Discussion of problems |
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Problem assignments |
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Mon |
Questions |
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Count Down: 1 days until the AP Test |
Presentations |
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Quiz on applications of integration |
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Last min ideas, questions and details |
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Tue |
AP CALCULUS TEST at 8 AM |
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Wed |
Debriefing – survey sheet |
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Thurs |
Begin projects if not in AP Physics |
Review for the AP Physics Exam if in AP Physics |
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Fri |
SPRING FLING |
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5/6 |
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Mon |
Begin projects if not in AP Physics |
Review for the AP Physics Exam if in AP Physics |
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Tue |
Daily Status Report |
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Work on Final Projects |
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Wed |
Daily Status Report |
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Work on Final Projects |
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Thurs |
Daily Status Report |
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Work on Final Projects |
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Fri |
Daily Status Report |
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5/13 |
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Work on Final Projects |
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Mon |
Daily Status Report |
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Work on Final Projects |
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Tue |
Daily Status Report |
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Work on Final Projects |
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Wed |
Daily Status Report |
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Work on Final Projects |
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Thurs |
Daily Status Report |
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Work on Final Projects |
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Fri |
Daily Status Report |
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5/20 |
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Work on Final Projects |
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Mon |
Daily Status Report |
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Work on Final Projects |
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Tue |
Daily Status Report |
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Work on Final Projects |
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Wed |
PROJECT DUE!!!! |
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Presentations if any |
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Thurs |
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Fri |
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5/27 |
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Weeks 33 through 35 (Note that this begins with April 18…scroll down to see the week of April 11)
Review for the AP Calculus Test
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
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NO SCHOOL |
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4/18 |
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ALL OF THE ACTIVITIES THAT FOLLOW ARE CHANGEABLE DAILY DEPENDING ON RESULTS OF THE MOCK EXAM GIVEN THE PREVIOUS WEEK |
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Please note that almost all of the ahead is slightly changed |
Problems assignments come from the review packs, the text and the AP Concept review topics. Please bring all of them every day. |
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Tues |
Stickies from Mock AP Multiple choice exercises…we will discuss until 8:30 |
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Review of limits – assignment of probs |
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P 88 #47 to 52: P 153 #6, 8, 10 |
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Wed |
Presentation of problems |
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Holiday assignment due (complete corrections from the AP Calc mock exam MC problems) |
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Questions |
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Limits quiz (10 points) |
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Differentiation problems: P 153 # 17-32, 41-57, 65-80, 99-104 |
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Thur |
Check homework |
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After school AP help…3 to 4 pm |
Review of differentiation |
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Discussion of problems |
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Problem assignments |
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Fri |
Questions??? |
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Presentations of problems |
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Diff quiz |
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Applications of derivatives problems |
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Mon |
Check homework |
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Review of applications of derivatives + differentials |
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Discussion of problems |
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Problem assignments |
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Tues |
Questions???? |
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Presentation of problems |
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Quiz on apps and differentials |
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Problems on integrals |
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Wed |
Check homework |
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Review of integration techniques |
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Discussion of problems |
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Problems assignments |
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Thur |
Questions??? |
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AP CALC AFTERSCHOOL – would you like a second mock exam? |
Presentations |
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Quiz on applications of integrals |
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Problems – apps of integrals |
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Fri |
Check homework |
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Review of applications of integrals |
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Discussion of problems |
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Problem assignments |
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Mon |
Questions |
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Presentations |
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Quiz on applications of integration |
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Last min ideas, questions and details |
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Tue |
AP CALCULUS TEST at 8 AM |
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Wed |
Debriefing – survey sheet |
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Thurs |
Begin projects if not in AP Physics |
Review for the AP Physics Exam if in AP Physics |
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Fri |
SPRING FLING |
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Week 30 through 32 – March 29 to April 15
For a peek beyond weeks 30 - 32, click here.
Define exponential functions of bases other than e
Differentiate and integrate exponential
functions that have bases other than e
Use exponential functions to model COMPOUND INTEREST and EXPONENTIAL GROWTH
Solve a simple, differential equation by applying separation of variables
Model growth and decay in applied problems using exponential functions
Find particular solutions of diffeQs by using initial/boundary conditions
Recognize and solve DiffeQs that can be solved by sep. of variables
Use a differential equation to model and solve applied problems
Memorize basic differentiation and integration formulas for inverse trig. Functions (eg: arcsin x)
Find the area between two curves or two intersecting curves by integration.
DESCRIBE INTEGRATION AS AN ACCUMULATION PROCESS!!!!!!!
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Wed |
Check homework |
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3/23 |
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Discuss problems |
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Area between two curvesJ Practice: P 418 #1-10 |
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Thurs |
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3/24 |
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More area between two curves Possible homework assignment: P 418 #15-45 odd (due next Th as a “regular assignment” in your notes |
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Mon |
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NO SCHOOL |
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Tues |
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NO SCHOOL |
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PLEASE NOTE THAT $$ FOR THE AP TEST MUST BE IN BY WED 3/30 TO MRS. MINARD |
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Wed |
Welcome to the fourth quarter!!!! |
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Lecture from those who were here last Thursday |
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Integration as an accumulation process |
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Practice: P 418 # 16 – 40 EVEN (due Friday) |
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Thur |
Quiz – Memorization of integrals and derivatives Check of holiday assignment |
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Problems from previous assignments???? |
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Discussion: Volume of a rotated area |
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Fri |
Regular quiz on finding area between two curves |
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Problems from previous assignments???? (Up to 8:30) |
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More about volume |
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Practice: P 428 # 7-21 ODD |
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Mon |
Test Review sheets handed out in some form |
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Practice: P 419 # 41-50, 57, 58 |
Practice: P 428 # 1, 3, 5, 7-21odd |
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Practice: P 429 # 23-39 ODD |
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Review of concepts on Wednesday’s test |
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Tues |
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Problems with P 428 # 7-21 Odd ??? |
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Problems session |
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Wed |
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FULL PERIOD TEST – Calc. eligible…Sections 5.6 – 5.9 and 6.1 – 6.2…Last “regular” test of the year!!!!1 |
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Thur |
Return of tests |
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AFTERSCHOOL HELP DAY!!! |
Prep for mock AP exam |
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Fri |
Mock AP EXAM |
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45 min – No calculator – MC (28 questions) |
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Mon |
Mock AP EXAM |
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50 min – Calculator – MC (17 questions) |
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Tue |
Mock AP EXAM |
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45 min – Calculator – FR (3 questions) |
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Wed |
Mock AP EXAM |
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45 min – No calculator – FR (3 questions) |
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Thurs |
Results of exam |
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AFTERSCHOOL HELP DAY!!! |
Beginning of review |
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Practice assignment over long weekend – corrections of missed MC questions |
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Fri |
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NO SCHOOL |
Over the holiday:
1. We didn’t quite hit the 90% mark, so memorize the derives. and integrals for Thursday the 31 of March.
2. Last test is on Wednesday April 6.
3. Regular homework assignment P 418 #15-39 ODD and 41-46 due Friday April 1 (not handed in, just in your notes).
Week 29 – March 21-25
For a peek beyond week 29, click here.
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Fri (Last week) |
Immediately either begin Friday’s assignment or take retest |
(Students taking the retest are still responsible for Friday’s assignment, but will have to do it over the weekend) |
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Mon |
Check of homework P 378 #55-68, 103 P 386 #41-55 odd |
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Discuss diff. of and integration of inverse trig functions and memorize everything that you have yet to memorize that you need to!!!!!!!!!! (see P 391) |
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Tue |
Check homework Quiz – have you memorized this stuff yet??? Class avg of 90% on this quiz means no AP Calc over Easter break |
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Discuss integration |
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Practice: P 393 #1-10 |
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Wed |
Check homework |
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Discuss problems |
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Area between two curvesJ Practice: P 418 #1-10 |
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Thurs |
Quiz next Thurs – have you memorized this stuff yet??? Class avg of 90% on this quiz means no AP Calc over Easter break |
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More area between two curves Possible homework assignment: P 418 #15-39 odd |
Week 28 – Mar 14 to 18
For a peek beyond week 28, click here.
Define exponential functions of bases other than e
Differentiate and integrate exponential
functions that have bases other than e
Use exponential functions to model COMPOUND INTEREST and EXPONENTIAL GROWTH
Solve a simple, differential equation by applying separation of variables
Model growth and decay in applied problems using exponential functions
Find particular solutions of diffeQs by using initial/boundary conditions
Recognize and solve DiffeQs that can be solved by sep. of variables
Use a differential equation to model and solve applied problems
Memorize basic differentiation and integration formulas for inverse trig. Functions (eg: arcsin x)
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
Review – solving diffeQs |
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Solution to #55 On P 357 |
Discussion: DiffEqs |
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Practice: P 358, 359 #79, 80, 85, 87, 89-92 and P 366 #1-23 ODD |
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Tue |
Check yesterday’s homework (will come around to check) – P 358 #80, 90, 92 on board |
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Discussion…problems from yesterday, then more about DiffeQs |
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Practice: P 366, 367 #29-32, 33-47 ODD, 42 |
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Wed |
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Short discussion on particular solutions |
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P 377 #1-6, 13-18, 31-42 |
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Thurs |
Check homework – homework sheets |
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P 378 #55-68, 103 |
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Prep for retest |
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Fri |
Immediately either begin Friday’s assignment or take retest |
(Students taking the retest are still responsible for Friday’s assignment, but will have to do it over the weekend) |
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Mon |
Check of homework – I will come around to check Th and Fri assignments |
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Discuss diff. of and integration of inverse trig functions |
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Week 27 – Mar 7 to 11
For a peek beyond week 27, click here.
KEENEY $$ SCALE FOR REST OF YEAR:
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K$ to buy out |
K$ to buy 100% |
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On a homework |
10, 000 |
20,000 |
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On a quiz |
20,000 |
35,000 |
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On a test |
90,000 |
145,000 |
KEENEY $$ AT PRESENT BESIDE YOUR INITIALS
48 200 AC
112 770 RC
72 945 MC
82 295 TG
63 795 DH
72 745 HK
53 300 EL
92 345 DL
72 820 DM
82 845 BM
87 845 NS
57 585 CW
Define exponential functions of bases other than e
Differentiate and integrate exponential functions that have bases other than e
Use exponential functions to model COMPOUND INTEREST and EXPONENTIAL GROWTH
ACTIVITIES
|
Day |
Warm Up |
General Activities |
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Mon |
Three prep. Test questions |
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Review for test (Tuesday) |
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Tue |
Full period test |
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Wed |
List and copy basic rules for differentiating and integrating non e based logs |
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Introduce purpose and examples of practical uses |
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More examples |
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Practice: P 357 #5-23 ODD, 41-55 ODD, 61-67 ODD |
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Thurs |
Check homework sheets and actual check |
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Discuss homework for a ltd amount of time |
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P 358 #69-75, 77, 78, 87, 89-92, 97 |
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Fri |
Check homework sheets– no homework quiz |
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Discuss homework challenges |
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Discuss DiffEQs, growth and decay |
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Practice: P. 366 #1-9 ODD, 15-18, 21, 23, 29-35 |
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Mon |
Check homework sheets and actual check |
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Practice: P 366 #36-42 |
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Week 26 Feb 28 to March 4
For a peek beyond week 26, click here.
Use change of variables and/or pattern recognition to evaluate indefinite integrals.
Evaluate definite integrals using change of variable (substitution) or properties of even and odd functions
Approximate definite integrals using the trapezoid rule
Analyze the error in an approximation using the trapezoid rule.
Develop and use the properties of the natural logarithmic function
Understand the definition of e
Find derivatives of functions involving ln
Use the Log Rule For Integration to evaluate rational functions
Integrate trig functions
Verify that a function is the inverse of another function
Determine if a function has an inverse
Find the derivative of an inverse function
Develop, state and apply properties of e, the inverse of ln
Differentiate e
Integrate e
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
Actual homework check – I’m coming around to look at itJ + Check work with sheets |
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Quick review of derivatives and integrals of ln |
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NOTE: Sec 5.3 is all review, so it will be covered quickly. |
Inverse functions: 1. Definition 2. Existence of an inverse function 3. How to find an inverse function 4. Derivative of an inverse function 5. Practice |
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Practice: P 338 #1, 4, 7, 9-16, 17, 19, 22, 29-41 odd |
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Tue |
NO CLASS - LATE OPENING |
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Wed |
Check homework |
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Today’s notes |
Maybe 10 min looking at homework |
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Exponential function: e
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P 347 #1-17 ODD, 19-21, 25, 27, 37, 39-47 ODD, 65, 87-91 ODD |
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Thurs |
Check homework |
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Discuss homework |
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Practice: P 347 #2-16 EVEN, 20, 26, 28, 30, 38, 49-57 odd, 59, 61, 69, 88-98 EVEN |
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Fri |
Homework Quiz |
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Discuss homework |
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No Club period Friday |
Pass out practice test – Actual test next Tuesday – THIS IS A NO CALCULATOR TEST |
For a peek beyond week 25, click here.
Week 25
Feb 21 – 25
Chapter 5 is an exercise in “tying up the loose ends” left in the first four chapters. It will expose some weaknesses, and extend what we have learned.
Use change of variables and/or pattern recognition to evaluate indefinite integrals.
Evaluate definite integrals using change of variable (substitution) or properties of even and odd functions
Approximate definite integrals using the trapezoid rule
Analyze the error in an approximation using the trapezoid rule.
Develop and use the properties of the natural logarithmic function
Understand the definition of e
Find derivatives of functions involving ln
Use the Log Rule For Integration to evaluate rational functions
Integrate trig functions
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
Graph 1/x by creating a table from -5 to 5 and graphing the points. |
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Discussion: Props of ln, e, and the derivative of ln – rules to memorize |
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Practice: P 321 #7-11, 13-33 odd, 45-59 odd |
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Tue |
Check homework |
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Homework problem problems |
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Misc discussion topics |
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Practice: P 321 # 46-60 E, 61-70, 98 |
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Wed |
Check homework |
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Homework problems problems |
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Discussion: Integration of 1/x |
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Practice: P 330 #1-27 ODD, 37, 41, 43 |
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Thurs |
Quiz – Props and derivatives of ln Check homework |
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Notes from today’s class |
Discuss homework on a limited basis |
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Discussion: Integrating trig functions |
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Practice: P 330 # 2-28 E (except 14, 16, 18) , 29-35 ODD, 39, 46-50 – Due Monday |
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Fri |
Quiz – homework quiz Check homework – Cancelled due to game – good luck guys! |
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Homework Problem problems |
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P 331 #71-76, 77, 79, 81-84 |
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Beyond Week 25 – Rest of the Year! (This is a rough guestimate)
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AP Calc |
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30 |
31 |
1-Apr |
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6.1 cont |
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6.2 |
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31 |
4 |
5 |
6 |
7 |
8 |
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TEST |
Prep for Practice Exam |
Practice |
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32 |
11 |
12 |
13 |
14 |
15 |
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Exam |
4 days?? |
??? |
REVIEW |
x |
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33 |
18 |
19 |
20 |
21 |
22 |
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x |
REVIEW |
REVIEW |
REVIEW |
REVIEW |
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34 |
25 |
26 |
27 |
28 |
29 |
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REVIEW |
REVIEW |
REVIEW |
REVIEW |
REVIEW |
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35 |
2 |
3 |
4 |
5 |
6 |
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Last min |
AP CALC |
Debrief |
AP Phys |
AP Phys |
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ideas |
EXAM |
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or Proj. |
or Proj. |
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36 |
9 |
10 |
11 |
12 |
13 |
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AP Phys |
Project |
Project |
Project |
Project |
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or Proj. |
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37 |
16 |
17 |
18 |
19 |
20 |
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Project |
Project |
Project |
Project |
Project |
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38 |
23 |
24 |
25 |
26 |
27 |
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Project |
Project |
Project |
Project |
Project |
Note that your fourth quarter grade will be determined between
March 29 and May 2, and that most of that time is review.
Week 24…Feb 14 to 18
DANGER!!!!! Chapter 5 is on the horizon…best of luck to you!
Use change of variables and/or pattern recognition to evaluate indefinite integrals.
Evaluate definite integrals using change of variable (substitution) or properties of even and odd functions
Approximate definite integrals using the trapezoid rule
Analyze the error in an approximation using the trapezoid rule.
ACTIVITIES
|
Day |
Warm Up |
General Activities |
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Mon |
P 288 Exploration at the bottom of the page |
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Discussion: Odd and even functions and applications |
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Practice: P 297-299 #30-40 even, 51-54, 91-94, 103, 104-107 |
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Tue |
Repeat quiz – basin evaluation of definite integrals by substitution |
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Homework problem problems |
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Begin discussion – The trapezoid rule |
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Practice: P 305 #1-4 Trapezoid Rule only |
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Wed |
Check homework |
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Homework problems problems |
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Trapezoid Rule – Approximations of errors |
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Practice: P 305 #5-19, 37, 43, 44 |
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Thurs |
Check homework |
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Discuss homework on a limited basis |
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NEW CHAPTER – TOUGHEST IN THE BOOK! |
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Review of logs worksheet |
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Fri |
Quiz – part homework quiz |
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Natural Logs - ln |
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Practice from both sec 5:1 and 5:2 TBA |
Week 23…Feb 7 to Feb 11
Reward possible on FridayJ
Write the general solution for a differential equation
Apply indefinite integral notation and basic integration rules to find antiderivatives
Find a particular solution for a differential equation
Use sigma notation to write and evaluate a sum
Approximate the area of a plane region
Understand the definition of a Riemann sum
Evaluate a definite integral using limits and/or properties of definite integrals (tested this Moday and Tuesday)
Use change of variables and/or pattern recognition to evaluate indefinite integrals.
Use the General Power Rule of Integration
Evaluate definite integrals using change of variable (substitution) or properties of even and odd functions
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
Full Period Exam on italicized skills above |
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Tue |
15 min AP FR test question |
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Pass back Monday’s test and results |
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Begin discussion – The “Chain Rule” of integration: Integration by substitution. |
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Practice: P 297 #1-6 |
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Wed |
Check homework |
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Continued examples and discussion of integration by substitution |
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Practice: P 297 #7-39 |
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Thurs |
Check homework |
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Discuss homework on a limited basis |
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Practice: P 297 #8-40 E |
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Fri |
Quiz – part homework quiz + questions that are int. by substitution |
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P 298 # 65 – 88 as practice…if we have a great week, we may take the weekend offJ |
Week 22…Jan 31 to Feb 4.
The course is flying as we move from the ez 4 sections in Ch 4 to the tough last 2 sections. Remember the target date for beginning review is April 4…only 2 months from Friday!
Write the general solution for a differential equation
Apply indefinite integral notation and basic integration rules to find antiderivatives
Find a particular solution for a differential equation
Use sigma notation to write and evaluate a sum
Approximate the area of a plane region
Understand the definition of a Riemann sum
Evaluate a definite integral using limits and/or properties of definite integrals
Use change of variables and/or pattern recognition to evaluate indefinite integrals.
Use the General Power Rule of Integration
Evaluate definite integrals using change of variable (substitution) or properties of even and odd functions
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
Check homework Do P 285 #53-60 |
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Discuss concepts and additional problems |
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Hand out practice problems |
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Practice: P 285 #61 - 65 |
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Tue |
Check homework |
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Take questions |
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Study exercises for test tomorrow |
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Wed |
Full Period exam |
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Thurs |
AP type prob as part of test |
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Integration by pattern rec and change of variables - substitution |
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Practice P 297 #1-6 |
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Fri |
Check homework – put answers on board |
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Discuss problem problems |
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Assorted problems on P 297 from #7-101 |
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Week 21…It will provide terminology and some theory before we hit Friday’s topic: The Fundamental Theorem of Calculus. It is a biggie!!!!!
Write the general solution for a differential equation
Apply indefinite integral notation and basic integration rules to find antiderivatives
Find a particular solution for a differential equation
Use sigma notation to write and evaluate a sum
Approximate the area of a plane region
Understand the definition of a Riemann sum
Evaluate a definite integral using limits and/or properties of definite integrals
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
Quick quizipoo on taking the antiderivative of a polynomial. Try P 307 #3-6 if you want some practiceJ |
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Check homework from Friday…questions anyone?? |
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Discuss particular solutions for finding C |
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Practice: P 250 #55-63 and then #49-52 |
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Tue |
Check homework Quiz on antiderivatives of trig |
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Discuss basic challenges |
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Sums and summation notation |
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Practice: P 261 # 7-11 odd…no need to use graphing calcs unless you want to, and 23, 25 |
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Wed |
Check homework |
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Challenges anyone??? |
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Riemann Sums discussion |
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P 272 and 273 # 1-19 odd |
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Thurs |
Check homework |
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Problem problems? |
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More on Riemann sums |
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P 272 #4-22 even, 23-31 odd, 45 |
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Fri |
Check homework Homework quiz – no printed solution sheets allowed!!!!! |
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Questions? |
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Discuss Fundamental thm of Calculus |
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Practice: P 284 # 1-21 odd |
Write the general solution for a differential equation
Apply indefinite integral notation and basic integration rules to find antiderivatives
Find a particular solution for a differential equation
ACTIVITIES
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Day |
Warm Up |
General Activities |
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Mon |
NO SCHOOL |
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Tue |
NO CLASS |
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Wed |
Warm up…what was the function? |
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General rules for solving differential equations |
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Rules for finding antiderivatives/indefinite integrals |
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Practice…P 24nine #1 to 15, 17 to 33 odd |
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Thurs |
Check homework |
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Discuss basic problems with homework |
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Discuss trig functions |
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Practice…P 2nine # 16 to 34 even, 35 to 42 |
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Fri |
Check homework |
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Particular solutions for diffequations |
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P 250 #55 to 62 |