Ann Blume

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.

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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)

Posted by Ann Blume at 09:43 PM | Permalink

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

Posted by Ann Blume at 08:57 AM | Permalink

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:

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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.

Posted by Ann Blume at 11:55 AM | Permalink

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

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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

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Mon. - Review Day / Work on 2nd review packet!
Tues. - Unit Test - Derivative Applications/ Start Mid-Term Review Packet
Wed. - PSAT Testing / no classes meet; work on review
Thursday - Review for Mid-Term / Review Packet Assigned
Friday - Mid-Term Exam

Posted by Ann Blume at 01:29 PM | Permalink

Mon –( M. Calc.1.8) Sec. 4.4 The Shape of a Graph
E.Q. How can you use derivatives and your calculator to sketch a graph?
Curve Sketching 1, 2, and 3
Second Derivative Test
Sketch the Graph
Pg. 243: #1 - 5, 7, 9, 13, 15, 22, 23, 31 –37 odd, 41, 49

Tues. (M. Calc.1.8) Sec. 4.5 Graph Sketching and Asymptotes
E.Q. How can you use derivatives and your calculator to sketch a graph?
Text Pg. 256: 10, 73, 77
(In Class) f, f', f" (1)
Extended assignment: f, f', f" 2 and 3

Wed- (M. Calc. 1.9) Sec. 4.6 Optimization Problems
The learner will be able to apply derivatives and solve optimization problems.
E.Q. How can we apply derivatives to solving optimization problems?
Pg. 265: # 3, 5, 7, 8, 9, 11, 13, 14, 24, 27
Optimization 1

Thursday (M. Calc. 1.9) 4.6 Optimization (cont.)
E.Q. How can we apply derivatives to solving optimization problems?
Optimization Problem – Time Problems
Mixed Review 1WS/text pg. 267: #36, 39, 40

Friday (M. Calc. 1.17) Applying Calculus Concepts
The learner will be able apply L’Hopital’s Rule when appropriate.
4.7 L’Hospital’s Rule – intro
Text pg. 277: #3, 7, 9, 13, 15, 17, 19, 25, 31, 33, 35, 37, 41, 49 Finish: f, f', f"(2 and 3)

Posted by Ann Blume at 07:10 AM | Permalink

Essential Question: What does the first and second derivative tell us about the behavior of a function?

Mon.(M.Calc 1.9) - Related Rates/ Worksheet / p.205 #15,17,21,24,25,27,31,37
Tues.( M.Calc.1.9)- Related Rates(cont.) / selected problems from packet and unit plan
Wed.(M.Calc.1.8) - Extreme Value Theorem/ Worksheets/ p.227 unit plan bookwork
Thurs.(M.Calc.1.16,1.8)- Mean Value Theorem and Monotonicity / Worksheets / Box Project Due
Fri.(M.Calc.1.8) - Second Derivative Test / pp.243 and 256 unit plan bookwork

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Essential Question: How can you take derivatives of transcendental functions?

Mon. - (M.Calc.1.4) Derivatives of e, a, log and lnx functions / 3 handouts / p.197 text (unit plan)
Tues. - (M.Calc.1.7,2.1,2.2)Linear Approximations & Differentials / Handout / p.217 text (unit plan)
Wed. - (M.Calc.1.4,1.6,1.7,2.1,2.2) Review Day / Derivative Practice Worksheet
Thurs. - Unit Test / Homework Due/ Assign Box Project
Fri. - Related Rates / Handout / p.204 #1-14 / Skinny Project due on Derivatives

Posted by Ann Blume at 01:04 PM | Permalink

Be prepared to take mini-quizzes this week using the derivative rules.

Mon. - (M.Calc.1.4) Derivatives of Trig Functions/ Worksheet/ p.170 text(unit plan)
Tues. - (M.Calc.1.5) Chain Rule / Worksheet / text p. 177 (unit plan)
Wed. - (M.Calc.1.5) Implicit Differentiation / Worksheet / text p.158 (unit plan)
Thurs.- (M.Calc.1.6) Derivatives of Inverse Functions / Worksheet / text p.191
Fri. - (M.Calc.1.4) Derivatives of Logarithmic Functions/ text p.197/AP #4,7,8,10,16

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Download file

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Essential Question: What are the Rules of Derivatives?
QCC's: M.ALC.1.4

Mon. - Review Day / Study for Test!
Tues. - Unit Test on Meaning of Derivatives
Wed. - (3.2) Derivatives of Poynomial and Exponential Functions (p.139 text)
(.3.5) Higher Order Derivatives(p.140 text)
Thurs.- (3.3) Product and Quotient Rules (p.148 text)
Fri. - (3.4) Applications/Particle Motion/ (p.157 text)

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Essential Question: What is a Derivative?

Tues. - (M.Calc.1.2): Discovering the Derivative at a Point/Squirrel Handout / p.66 bookwork (see unit plan)
Wed. - (M.Calc.1.2 ,1.15) Determine the slope of a tangent line at a point; equations of tangent & normal lines
bookwork p.124 (see unit plan for problems)
Thurs. - (M.Calc.1.15,1.8) Meaning & Using the Definition of a Derivative / Worksheets / p.140 bookwork
Fri. - (M.Calc.1.8) Interpreting the Derivative/Intro to Curve Sketching/ What does f ' & f " tell us about the function?/ Workaheets

Reminder: Students need to keep up with their "Skinny" project. Specific bookwork problems are listed on the student's unit plan.

Posted by Ann Blume at 06:51 PM | Permalink

The following is a link to the unit plan for meaning of a derivative. The weekly agenda, essential questions and specific textbook problems are listed.

Download file

Posted by Ann Blume at 06:30 PM | Permalink

Mon. (M.Calc.1.14) - Continuity& The Intermediate Value Theorem/ 2 Worksheets/ pp.91 & 106(bookwork)
Tues. (M.Calc.1.13) - Limits Involving Infinity / 2 Worksheets & Groupwork 2.5 / p.257(bookwork)
WedM. (M.Calc.1.1) - Multiple Choice Limits / Limits Review / 2 Worksheets
Thursday - Review Day "Putting it all together"/ Work on "Skinny" project
Friday - Limits Unit Test / Homework Due / Skinny due (Pre-Calc & Limits Section)

The following is a link to the Limits Unit Plan which details essential questions and specific daily assignments from the student textbook. Below you will see a link to the State Standards for Calculus.
Download file

Posted by Ann Blume at 01:30 PM | Permalink

Download file

Posted by Ann Blume at 02:47 PM | Permalink

Welcome to AP Calculus AB! I am very excited about the opportunity to teach you and prepare you for college and your career goals that may require Calculus. As you adjust to the new AP level, I encourage you to come in for assistance whenever you are having difficulty so that I can help and support you on your journey to success.
On this site you will be able to download the syllabus for the course as well as the current unit plan for specific weekly assignments. I am available for extra help every morning at 7:15 except Thursday, due to faculty or departmental meetings. Ms.Sichta (Rm. 416) and Ms.Bowman (Rm.409) also give extra help if for some reason I'm not available. Please email me at ann.blume@cobbk12.org if I can be of assistance to you.
I am looking forward to a great year! Ms. Blume

Mon. - Review (Practice Test) / Prerequisite Packets Due!
Tues. - Review for Test / Study!
Wed. - Unit Test over Pre Calculus / Interpreting Graphs Handout
Thurs. - Limits from Graphs & Graphs from Limits (Worksheets)
Fri. - Limit Laws / Finding Limits Algebraically

Reminder: Work on "Skinny" Project daily
Important Dates: Open House Aug.26(Srs.) & Aug. 28(Jrs.)

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