Ann Blume http://www.harrisonhigh.org/weblogs/blumea/ en-us Copyright 2008 Mon, 01 Dec 2008 12:31:15 -0500 http://www.sixapart.com/movabletype/?v=3.2 http://blogs.law.harvard.edu/tech/rss AP Calculus Agenda Dec.1st - 5th M.Calc.3.3 Integration: Finding Volumes
Essential Question: How can we find volumes of revolution using disk, washer and shell methods?

Mon. - Disk & Washer Method/ Worksheet and p.398 unit plan bookwork
Tues. - Volumes of Revolution(cont.)/ Worrksheet
Wed. - Shell Method / Worksheet and p.405 unit plan bookwork
Thurs. - Differential Equations / Worksheet
Fri. - Growth and Decay Applications / Worksheet & AP multiple choice practice

Please remember to continue working on your skinny project and your review for the cumulative test.

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/12/ap_calculus_agenda_dec1st_5th.html http://www.harrisonhigh.org/weblogs/blumea/2008/12/ap_calculus_agenda_dec1st_5th.html AP Calculus AB Mon, 01 Dec 2008 12:31:15 -0500 Calculus Agenda Dec.1st - 5th Essential Question: How can we find volumes of solids of revolution using disk or washer methods?
M.Calc.3.3 Integration: Finding Volumes of Revolution

Mon. - Disk Method / Worksheet. and p.423 unit plan bookwork
Tues. - Disk Method(cont.) / Worksheet and p.423 # 23,25,27,28
Wed. - Washer Method / Worksheet and p. 423 unit plan bookwork
Thurs.- Washer Method (cont.)/ Worksheet and p.423 # 15,20,21
Fri. - Shell Method/ Worksheet and p. 432 unit plan bookwork

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/12/calculus_agenda_dec1st_5th.html http://www.harrisonhigh.org/weblogs/blumea/2008/12/calculus_agenda_dec1st_5th.html Calculus Mon, 01 Dec 2008 12:22:37 -0500 How do we find the area between 2 curves? area-between-two-curves_gr_77.gif

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/how_do_we_find_the_area_betwee.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/how_do_we_find_the_area_betwee.html AP Calculus AB Sat, 15 Nov 2008 22:13:38 -0500 AP Calculus AB Agenda Nov.17th - 21st Essential Question: How can we find the area between 2 curves?
M.Calc 3.2 Integration:Finding Area Between Curves
M.Calc.1.20 Apply the Mean Value Theorem
M.Calc.3.3 Finding Volumes of Solids

Mon. - (6.1) Area Between Curves / Worksheet/ text p.379 see unit plan
Tues. -(6.2) Average Value of a Function/ Worksheet/ text p.392 (unit plan)
Wed. - (6.2) Play-doh Lab to introduce volumes by known cross sections
Thurs. (6.2) Volumes by Cross Sections Lab / p.390 text #8-11,14
Fri. - Food Lab to introduce volumes of revolution(Disk/ Washer)

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/ap_calculus_ab_agenda_nov17th.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/ap_calculus_ab_agenda_nov17th.html AP Calculus AB Sat, 15 Nov 2008 21:43:38 -0500 Non-AP Calculus Agenda Nov.17th -21st Essential Question: How do I find the area between 2 curves?
M.Calc.3.2 Integration: Finding area between curves
M.Calc.3.30 Integration:Finding Volumes of Solids

Mon. - Area Between 2 Curves / Worksheets
Tues. - Area Between Curves (cont.)/ Worksheets & selected problems
Wed. - PlayDoh Lab to introduce volumes by known cross sections
Thurs. - Volumes by known cross-sections lab / finish classwork packet
Fri - Food Lab to introduce volumes of solids of revolution

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/nonap_calculus_agenda_nov17th.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/nonap_calculus_agenda_nov17th.html Calculus Sat, 15 Nov 2008 21:35:43 -0500 AP Calculus AB Agenda Nov.10th - 14th Essential Question: How can we integrate trigonometric functions using identities?
M.Calc.(1.12) Integration: Substitution

Mon. - (7.3) Trigonometric Integrals/ Unit Plan p.439 plus listed problems
Tues.- (7.6) Partial Fractions/ Worksheet / Integrated Integration Wsheet
Wed.- Summary of Integration Techniques / Review Packet
Thurs.- More Review Work! / Finish review work and study!
Fri. - Unit Test over Rules of Integration

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/ap_calculus_ab_agenda_nov10th.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/ap_calculus_ab_agenda_nov10th.html AP Calculus AB Sat, 08 Nov 2008 08:57:00 -0500 Slope"Directional" Fields and Differential Equations Diffy Q's.gif

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/slopedirectional_fields_and_di.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/slopedirectional_fields_and_di.html Calculus Sat, 08 Nov 2008 08:27:43 -0500 Non-AP Calculus Agenda Nov.10th - 14tth Essential Question: What are Slope Fiels and how are they useful?
M.Calc.(1.12) Integration:Substitution

Mon. - (M.Calc.1.21) Integrating Exponential Functions / Wsheet/ bookwork listed on unit plan
Tues.- (M.Calc.1.10) Slope Fields/ Begin Differential Equations / (Worksheets)
Wed. - (M.Calc.1.10) Differential Equations(cont.)/ bookwork listed on unit plan
Thurs.- Integration Review Day/ Review Worksheet
Fri. - Unit Test over Integration

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/nonap_calculus_agenda_nov10th.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/nonap_calculus_agenda_nov10th.html Calculus Sat, 08 Nov 2008 06:15:19 -0500 Trapezoidal Rule: Numerical Integration to find an area bounded without an equation that can be integrated. If a 100-foot lake's width is measured at 10-foot intervals (as shown below), approximate the area of the lake using the Trapezoidal Rule:
trapezoidal rule.gif

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/trapezoidal_rule_numerical_int.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/trapezoidal_rule_numerical_int.html AP Calculus AB Sun, 02 Nov 2008 12:38:44 -0500 AP Calculus AB Agenda Nov.3rd - 7th Essential Question: What techniques can we use to integrate more sophisticated functions?
MCalc.1.12 Integration:Substitution
M.Calc.3.4 Integration:Estimating Areas

Mon. - (5.7) Integrating Transcendental Functions / U-Substitution & ArcTrig wsheets
Tues. - No classes meet
Wed. - (7.1) Numerical Integration / Trapezoid Rule handout/p.424 bookwork (unit plan)
Thurs.-(7.2) Integration by Parts(u-dv)/ p.431 bookwork (unit plan)
Fri. - (7.2)Integration by Parts(cont.)/Arctrig and Cycling(Product Rule backwards)/ 5 problems on unit plan

Note: Expect mini-quizzes over quick integrals this week.

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/ap_calculus_ab_agenda_nov3rd_7.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/ap_calculus_ab_agenda_nov3rd_7.html AP Calculus AB Sun, 02 Nov 2008 11:55:21 -0500 Calculus Agenda - Nov.3rd - 7th Essential Question: What different techniques are there to find area under a curve?
M.Calc.1.12: Integration:Substitution
M.Calc.3.4: Integration: Estimating Areas

Mon. - Fundamental Theorem of Calculus / 2 Handouts
Tues. - No classes meet
Wed. - Average Value of a Function / Handout
Thurs.- Numerical Integration/ Trapezoidal Rule Handout
Fri. - Integrating 1/X / Worksheet/Unit plan bookwork

Note: Continue to be prepared for mini-quizzes on quick integrals.

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/11/calculus_agenda_nov3rd_7th.html http://www.harrisonhigh.org/weblogs/blumea/2008/11/calculus_agenda_nov3rd_7th.html Calculus Sun, 02 Nov 2008 10:07:29 -0500 AP Calculus AB Agenda Oct.27th - 31st Essential Question: What is the Meaning of the Fundamental Theorem of Calculus?
M.Calc.1.11 The learner will identify and use the Fundamental Theorem of Calculus

Mon. - Fundamental Thm of Calculus Part I & II/ Worksheets/ bookwork p.335
Tues.- Net or Total Change as Integral of a Rate / Worksheet / bookwork p. 341
Wed. - Review Day / Meaning of Integration review sheet
Thurs.- Unit Test on Meaning of Integration
Fri. - Integration by U Substitution/ Rules of Integration Unit Plan bookwork p.349

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/10/ap_calculus_ab_agenda_oct27th.html http://www.harrisonhigh.org/weblogs/blumea/2008/10/ap_calculus_ab_agenda_oct27th.html AP Calculus AB Sat, 25 Oct 2008 11:41:56 -0500 Calculus Agenda Oct.27th - 31st Essential Question: What is the Meaning of Integration?
(M.CALC.3.1) The learner will relate the definite integral to area under a curve. The learner will define and apply properties of the definite integral.

Mon. - Antiderivatives & Indefinite Integration/ Worksheet / p.248 # 11-42 all
Tues. - Riemann Sums/ Worksheets
Wed. - Definite Integrals/Worksheet/p.271 #1-24 all, #43,44
Thurs.- Fundamental Theorem of Calculus / Worksheet/ p.283 #1-20,25-30,33-38 all
Fri. - Integration by "U" Substitution/ Worksheet/ p.296-97 #7-12,33,34,36,39

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/10/calculus_agenda_oct27th_31st.html http://www.harrisonhigh.org/weblogs/blumea/2008/10/calculus_agenda_oct27th_31st.html Calculus Sat, 25 Oct 2008 11:30:31 -0500 Essential Question: What is integration? How can we approximate area bounded by a curve? integration.gif

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/10/what_is_integration_how_can_we.html http://www.harrisonhigh.org/weblogs/blumea/2008/10/what_is_integration_how_can_we.html Sat, 18 Oct 2008 16:35:51 -0500 Slope "Directional" Fields SlopeField_.gif

]]> http://www.harrisonhigh.org/weblogs/blumea/2008/10/slope_directional_fields_1.html http://www.harrisonhigh.org/weblogs/blumea/2008/10/slope_directional_fields_1.html AP Calculus AB Sat, 18 Oct 2008 16:09:49 -0500