Teaching Math 5H:

UNIT 12 Polar Mode!

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__Quarter IV Weeks 1&2: 4/14-4/25__We started and finished UNIT 12 about Parametric Mode, Polar Mode. We calculated slope and arc length Parametrically. We also calculated area and arc length of Polar Functions!

Next week is AP Review and the following 2 weeks are AP Exams. So, this concludes this year's blog for AP Calculus BC! A new thread will start in 3 weeks called Life After Calculus 2014 (LAC2014). Good luck on your AP Exams!

Hope you had fun learning Calculus with us this year. Have a great Summer, see you next year!

UPDATE: 5/23/2014

This is the last post in this thread for this year as next week is Final Review and then we have In-Class Finals. I think we had a successful year. You have all our ScreenCasts, SmartNotes and SAGE WorkSheets for the whole year right here in this post! Next year, we'll be useing the new TI nSpire CX CAS and I think I can use SAGE more. In 2 years I think I can redo my ScreenCasts using all this great new tech. Have a great Summer!

__Bye Bye Period 1, Math 5HBC Calculus__

__You will be missed!__

UNIT12 Polar Mode!

__Quarter III Weeks 7&8: 3/24-4/04__We started UNIT 11 about MacLaurin Series, Taylor Series, Intervals of Convergence, Alternating Series Error and LaGrange Error terms! Next week, the week before April Break, we'll finish UNIT 11. The week after break we'll do a short unit on Vector/Polar. The week after that is review and the week after that is the AP Exam already!

UNIT11 Power Series

__Quarter III Weeks 5&6: 3/10-3/21__We finished UNIT8 about Partial Fractions and By Parts Integration techniques. I skipped UNIT9 about VARSEP DIFFEQUS as we covered that elsewhere and we had to make up time. We only have a few weeks before and a week after April Break to finish the course! Then we only have a week of review!

So, we just started UNIT10 on Convergence of Infinite Series of Constants with all Positive Terms. We'll sneak the Alternating Series Error Theorem somewhere. Then we have 2 weeks on Power Series and 1 week on Vector/Polar.

UNIT10 Series of Constants

__Quarter III Weeks 3&4: 2/24-3/7__We didn't get very far this past couple of weeks with all the Snow Days and February Break! We did manage to cover most of UNIT 8 about Integration By Parts and Partial Fractions. We started the unit with a class on L'Hopital's rule using the "Mean Girls Limit" as a Do Now! I also ended that class with a Calculus Carol by one of my students about L'Hopital as a summary. I do this topic now as these limits will start to become an issue soon!

I will finish the unit next week with a discussion of Variable Separable DiffEqus including Logistics, Slope Fields and Euler's Method.

UNIT 8 Advanced Integration Techniques:

__Quarter III Weeks 1&2: 2/3-2/14__We didn't get very far this past couple of weeks with 3 SnowDays and a Delayed Opening in the way! We did somehow manage to finish UNIT 7 focusing on Differential Equations. We talked about Slope Field and Variable Separable solutions for Exponential Growth and Decay, Exponential Approach (aka Newton's Laws of Heating or Cooling) and Logistic Growth models! After February Break we have our last AB Part I MCQ Monday and then we'll talk about L'Hopital's Rule and Indeterminate Forms.

__Announcement from the AP Calculus Forum:__The University of Houston is offering the following FREE courses through Coursera, with start dates of March 17. Registration is currently taking place. Please inform your interested students and colleagues.

__Quarter II Weeks 8&9: 1/13-1/24__We started UNIT7: Transcendental Functions! We focused on the derivative of ln(x) and Logarithmic Differentiation. Next week and after Midterm Week, we'll revisit Applications of Derivatives, Applications of Integrals and Variable Separable Differential Equations involving e^x and ln(x).

UNIT 7 Calculus of Transcendental Functions:

__Quarter II Week 7: 1/6-1/10__We finished UNIT6: Applications of the AntiDerivative! We focused on Volumes with Known Cross Sections, Arc Length and Surface Area.

__Quarter II Week 6: 12/16-12/20__We continued UNIT6: Applications of the AntiDerivative! We focused on Volumes of Revolution with horizontal and vertical strips: Disk, Washer, Shell. Of course, Friday was Calculus Caroling Day!

__Quarter II Weeks 4&5: 12/2-12/13__We started UNIT6: Applications of the AntiDerivative! We focused on the Betty Sue problem and the importance of adding a constant C. We talked about horizontal and vertical strips in our Riemann Statements for finding area between curves and Volumes of Revolution.

__Quarter II Week 3: 11/25-11/29__This week we continued our discussion of AntiDerivatives by introducing The Fundamental Theorem Parts I and II! We went over a MCQ Monday on Monday and did the Fundamental Theorem on Tuesday. This was a short week due to Thanksgiving, so we had GAMEDAY on Wednesday. Fun was had by all!

Since we were covering Indefinite Integrals this week, we had to do the Betty Sue FRQ and sing the song!

Also, next week is December already, so we start practising our preCalculus and Calculus Carols!

__Quarter II Week 2: 11/18-11/22__This week we continued our discussion of AntiDerivatives and Riemann Sums! We focused on Scientific Computing. IE: we wrote programs in TI89 BASIC demostrating the Numerical Methods for definite integration: LSUM, RSUM, MSUM, TRAP and SIMP!

__Quarter II Week 1: 11/11-11/15__This week was all about AntiDerivatives and Riemann Sums! We talked about Right Riemann Sums as exact limits. Next week we'll have to right some TI89 code! We also started talking about solving Variable Separable Differential Equations.

__Quarter I Week 9: 11/4-11/8__We finally finished with UNIT 4: Application of Differentiation this week. We programmed Newton's Method in TI89-BASIC. We also covered related rates. Next week is all about AntiDerivatives and Reimann Sums!

__Quarter I Week 8: 10/28-11/1__We're nearly finished with UNIT 4: Application of Differentiation this week. We programmed Newton's Method in TI89-BASIC. We also started related rates this week.

__Quarter I Week 7: 10/21-10/25__We started UNIT 4: Application of Differentiation this week. We started talking about IVT, MVT, Min/Max and Optimization!

__Quarter I Week 6: 10/14-10/18__This week we finished UNIT 3 with a discussion of the Chain Rule, Implicit Differentiation, Min/Max and Related Rates.

__Quarter I Week 5: 10/07-10/11__Out sick.... However, I did start using DropBox, see above!

__Quarter I Week 4: 9/30-10/04__

__Quarter I Week 3: 9/23-9/27__

__Quarter I Week 2: 9/16-9/20__

__Quarter I Week 1: 9/9-9/13__AP Calculus BC started with a preCalc review in the form of the topic of Conic Sections! This is a great topic to review Cartesian and Polar Coordinates, as well as some algebra, trig and TI89 usage!

UNIT 2 Limits and Derivatives:

**Well, that's all folks!**

*Sincerely,*

*A. Jorge Garcia*

*Applied Math, Physics and CS*

*http://shadowfaxrant.blogspot.com*

http://www.youtube.com/calcpage2009

2013 NYS Secondary Math PAEMST Nomineehttp://www.youtube.com/calcpage2009

2013 NYS Secondary Math PAEMST Nominee

*Teaching with Technology,*

*pastebin youtube slideshare*

*mathforum apcommunity*

*sage ebay*
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