Ann Blume tag:www.harrisonhigh.org,2008:/weblogs/blumea//25 2008-11-16T03:14:29Z Movable Type 3.2 How do we find the area between 2 curves? tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.42171 2008-11-16T03:13:38Z 2008-11-16T03:14:29Z Ann Blume area-between-two-curves_gr_77.gif

]]> AP Calculus AB Agenda Nov.17th - 21st tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.42170 2008-11-16T02:43:38Z 2008-11-16T03:57:51Z 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... Ann Blume 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)

]]> Non-AP Calculus Agenda Nov.17th -21st tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.42169 2008-11-16T02:35:43Z 2008-11-16T03:59:58Z 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... Ann Blume 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

]]> AP Calculus AB Agenda Nov.10th - 14th tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41827 2008-11-08T13:57:00Z 2008-11-08T14:13:31Z 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... Ann Blume 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

]]> Slope"Directional" Fields and Differential Equations tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41829 2008-11-08T13:27:43Z 2008-11-08T14:28:38Z Ann Blume Diffy Q's.gif

]]> Non-AP Calculus Agenda Nov.10th - 14tth tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41828 2008-11-08T11:15:19Z 2008-11-08T14:42:12Z 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.)/... Ann Blume 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

]]> Trapezoidal Rule: Numerical Integration to find an area bounded without an equation that can be integrated. tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41526 2008-11-02T17:38:44Z 2008-11-02T17:45:29Z 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:... Ann Blume 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

]]> AP Calculus AB Agenda Nov.3rd - 7th tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41524 2008-11-02T16:55:21Z 2008-11-02T18:10:56Z 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... Ann Blume 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.

]]> Calculus Agenda - Nov.3rd - 7th tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41525 2008-11-02T15:07:29Z 2008-11-02T18:13:09Z 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... Ann Blume 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.

]]> AP Calculus AB Agenda Oct.27th - 31st tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41198 2008-10-25T16:41:56Z 2008-10-25T17:26:23Z 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... Ann Blume 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

]]> Calculus Agenda Oct.27th - 31st tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.41197 2008-10-25T16:30:31Z 2008-10-25T17:28:26Z 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 /... Ann Blume 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

]]> Essential Question: What is integration? How can we approximate area bounded by a curve? tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.40869 2008-10-18T21:35:51Z 2008-10-18T21:38:05Z Ann Blume integration.gif

]]> Slope "Directional" Fields tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.40867 2008-10-18T21:09:49Z 2008-10-18T21:11:19Z Ann Blume SlopeField_.gif

]]> AP Calculus AB Agenda Oct.20th - 24th tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.40866 2008-10-18T20:27:14Z 2008-10-20T00:14:02Z Essential Question: What is an integral? How can we estimate area bounded by a curve? (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.... Ann Blume Essential Question: What is an integral? How can we estimate area bounded by a curve?
(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. - (4.9) Finding Antiderivatives / Slope Fields / p.292 bookwork (unit plan)
Tues.- (5.1) Riemann Sums / Meaning of Integration / p.307 bookwork (unit plan)
Wed. - (5.2) The Definite Integral / p.310 and p.321 (unit plan)
Thurs. - (5.3) Fundamental Theorem of Calculus Pt I / Differential Equations / p.329 bookwork
Fri - (5.4) Fundamental Theorem of Calculus Pt II / Groupwork / p.335 bookwork

Be prepared for several quizzes throughout the week. Below is a link to the more detailed unit plan.
Download file

]]> Calculus Agenda Oct.20th - 24th tag:www.harrisonhigh.org,2008:/weblogs/blumea//25.40868 2008-10-18T18:25:31Z 2008-10-20T00:10:59Z Essential Question: How can calculus be used to solve real life applications where we want to maximize or minimize an outcome? (M.CALC.1.9) The learner will apply derivatives;solve optimization and rate of change problems Mon. - Related Rates Mixed Applications/ Groupwork... Ann Blume Essential Question: How can calculus be used to solve real life applications where we want to maximize or minimize an outcome?
(M.CALC.1.9) The learner will apply derivatives;solve optimization and rate of change problems

Mon. - Related Rates Mixed Applications/ Groupwork / Worksheets
Tues. - Max-Min Optimization Day 1 / Worksheets / Assign Box Project
Wed. - Max-Min Day 2 / Business Applications/ Worksheet
Thurs - Partner Test / Study for individual part of test
Fri. - Individual Part of Test / Finish Box Project

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