Welcome to Unit 3 - Power Series of AP Calculus BC

Unit 3 – Quote – “Do your best, give your best and know that in doing so you'll enhance the quality of your life".

Most Daily/ Weekly assignments will be due the next day.

Tuesday Afternoon Office Time
(2:20 pm - 3:00 pm)

Be Your Best, Do Your Best, & Breathe!

Unit 3 - Power Series
Objectives

Students will be able to:

7.8 - Approximate the sum of a series. (Alternating Series Error Bound)

8.A - Represent a function at a point as a Taylor Polynomial.

8.B - Approximate Function Values using a Taylor Polynomial.

8.C - Determine the Error Bound associated with a Taylor Polynomial Approximations.

8.D - Determine the Radius of Convergence and Interval of Convergence for a Power Series.

8.E - Represent a function as a Taylor or a Maclaurin Series.

8.F - Interpret Taylor Series and Maclaurin Series.

8.G - Represent a given function as a Power Series.

Week 6

	Feb 24^th	Feb 25^th	Feb 26^th	Feb 27^th	Feb 28^th

AP Calculus BC Topic/Concept	*Quiz*	*Alternating Series Test & Condition*	Review & Generating Power Series - Part 1	Unit Test 2	Generating Power Series - Part 2
Week 6			*Interim Report Week*
3^rdPeriod	Quiz "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive Cell Phones & Smart Watches = Back Table	1. Discuss National Events, Ratio & Root Test PPT, HW 9, & Page 29 2. Take Notes on the Alternating Series Powerpoint - Classwork Examples # 2 and start # 3 3. Review 4. 4 Seasonal Groups = Series Test Review Worksheet - Canva Link	1. Discuss HW 10 = Volunteers 2. Discuss HW 1 = Pages 39 - 43 3. AP Grader Samples 4. Season Review Groups = Pages 37 - 38 - Canva Link 5. In-class 6. Grade Pow - wow & Interim Reports due by Fri = Turn - in tray at the back of the room 6. Discuss Quiz results	Unit Test 2 "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive Cell Phones & Smart Watches = Back Table = Unit Test Points/ Journal	1. Discuss HW 1 and Powerade Drink/Protein Bar 2. Generating Power Series - Part 1 - PPT & Notes 3. Generating Power Series - Part 2 - PPT & Notes (pdf copy) 4. Graphing Calculator Exploration Activity = Speed Dating Activity 5. Bowling Quiz # 4
	HW 9 = Stamp Page & HW Volunteers for Tues by 7am	HW 10 = Stamp Page & HW Volunteers for Wed's Class by 7am "Big Ideas" Weekly Journal Entries - Feb 27^th Watch AP Central Videos Read the Series Review	Watch the Pre-Calculus Sigma Notation Video Clip for Friday's Class HW 1 = Stamp Page = Pages 39 - 43 & HW Volunteers due Fri by 7am Bring a Powerade Drink and/or Protein Bar for Friday's Class well &	Wed's HW Problem Set # 2 due Mar 4^th by 7 am Give a Compliment to a Teacher! (❁´◡`❁)	HW 2 = Stamp Page & Volunteers for Monday's Class by 7:00 am Watch and Take Notes on the Generating Power Series Additional Examples Watch AP Central Videos
AP Calculus BC Songs		Series # 86 - Tune My Bonnie Lies Over the Ocean # 18 Macarena	The Number We Call "e" Song Exponents - Tune "Jingle Bells" - # 32 # 36 Mathematical Christmas Carol: Calculus # 86 Series		50 Ways to Do an Integral - # 41
National Events	Tortilla Chip	Clam Chowder Chocolate Covered Nut	Set a Good Example Tell a Fairy Tale Pistachio Write a Letter to an Elder	RETRO DAY POLAR BEAR DAY STRAWBERRY DAY Chili	CHOCOLATE SOUFFLE DAY TOOTH FAIRY DAY FLORAL DESIGN DAY Saturday Sunkist Citrus Sunday Banana Cream Pie Old Stuff Finisher's Medal

Week 7

	Mar 3^rd	Mar 4^th	Mar 5^th	Mar 6^th	Mar 7^th

AP Calculus BC Topic/Concept	Interval of Convergence	Taylor & Maclaurin Series	T & M Series & Basketball Review Approximating Series Error & LaGrange Error	Vectors & Parametric Review	Quiz
Week 7
3^rdPeriod	1. National Events & Discuss HW 2 Volunteers 2. Interval of Convergence - PPT 3. Examples # 3, 4, & 5 4. Bowling Quiz # 5 5. 2. Taylor Series - PPT & Notes	1. Discuss AP Exam Schedule Form 2. Maclaurin Series - PPT & Notes 3. Sandwich Theorem Review - 4. T, M, & Error Information Foldable - paper, scissors, & glue	1. Discuss HW 5, HW 3, & Pi Day celebration for next Thursday 2. Guided Notes - Error PPT & Notes 3. Discuss Midterm Exam Review - Part 1 - 4 (No Late Grade!!! & Honor System!!!) - Staple & Turn YOUR work into the back tray on 3/12 4. White Board Activity - Groups of 2 5. Work all 9 Basketball Series-Review problems 6. 6 Rounds of Basketball 3 problems each round form different floor lines	1. Discuss HW 6 Volunteers & Pi Day Celebration 2. Parametric Pre-Calc Review & Notations 3. "T & M Zones" Activity 4. Parametric Review Link	Quiz "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive Cell Phones & Smart Watches = Back Table
	HW 3 = Stamp Page & Interval of Convergence & HW Volunteers for Tuesday's Class by 7:00 am Problem Set # 2 due Mar 4^th by 7 am 2^nd Chance Opportunity Unit Test 2 = Afterschool on Tuesday = 1 hour	HW 5 = Stamp Page & Volunteers for Wednesday's Class by 7:00 am Fill in the AP Exam Schedule Form - Click either yes or no on each of the exams that you will be taking this year which will start in May 2025. "Big Ideas" Weekly Journal Entries	HW 6 = Stamp Page & Volunteers for Thursday's Class by 7:00 am Midterm Exam Review - Parts 1 - 4 due Mar 12^th by 7 am (No Late Grade!!! - Honor System!!!) - Staple & Turn your work into the back tray on 3/12	HW 1 - Volunteers due Mon by 7am Midterm Exam Review - Parts 1 - 4 due Mar 12^th by 7 am Problem Set # 3 due Mar 18^thby 7 am Watch AP Central Videos well &	Thurs' HW Do A Good Deed For Your Parents! (❁´◡`❁) Make sure to bring your fully charged Chromebook for class on Monday & Tuesday
AP Calculus BC Songs	Getting To Know Math - Tune "Getting To Know You" - # 55		Taylor's Series - Tune - Toreador Song from Carmen by Georges Bizet Video - Taylor Series Song	Video - L'Hopital's Rule - Tune "Silver Bells"
National Events	READ ACROSS AMERICA DAY (DR. SEUSS DAY) COLD CUTS DAY I Want You To Be HAPPY Soup It Forward NATIONAL ANTHEM	POUND CAKE DAY GRAMMAR DAY Marching Music Pancake Day - IHOP	CHEESE DOODLE	OREO COOKIE WHITE CHOCOLATE CHEESECAKE FROZEN FOOD Dress DENTIST’S	DRESS IN BLUE SPEECH AND DEBATE EDUCATION EMPLOYEE APPRECIATION CROWN ROAST OF PORK Flapjack Saturday PROOFREADING PEANUT CLUSTER Sunday DAYLIGHT SAVING TIME I AM MEATBALL CRAB MEAT BARBIE

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Week 8

	Mar 10^th	Mar 11^th	Mar 12^th	Mar 13^th	Mar14^th

AP Calculus BC Topic/Concept	*2nd Derivative - Parametric & Implicit*	*Parametric Calculus*	Vector Calculus	*Midterm Exam Review*	Unit Test 3
Week 8		ACT Schedule (11th Graders)		Pi Day Celebration???	Pi Day
3^rdPeriod	1. Compare & Contrast HW 1 results 2. Guided Notes - Video Clip - Parametric 3. Guided Notes - Video Clip - Implicit Derivatives	1. Read Midterm Exam Topic List 2. Classwork Problems = Groups of 2	1. Midterm Exam Review work = back tray 2. Discuss National Events & Verify AP Exam Schedule 2. 3. Intro to Vectors - Video Clip 4. Discuss Vector Information Pages 5. Classwork Examples = 6. Bowling Quiz # 6	1. Discuss National Events, HW 2 results, Verify AP Exam Schedule, & Results of Midterm Exam Review - Parts 1 - 4 2. Discuss Midterm Exam format (approximately 55 FR, Matching, & Multiple-Choice Problems) & Midterm Topic List 3. Discuss Pi Day Celebrations 4. Discuss Quiz results Pi Day Fun! 5. ???	Unit Test 3 "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive Cell Phones & Smart Watches = Back Table = Unit Test Points
	HW 2 Volunteers due Thurs by 7 am Midterm Exam Review - Parts 1 - 4 due Mar 12^th by 7 am (No Late Grade!!! - Honor System!!!) - Staple & Turn your work into the back tray on 3/12	Mon's HW	Mon's HW Pi Day Celebration Supplies Watch & Take Notes on the Video Clip on "Particle at Rest" & Parametric Speed	Watch AP Central Videos well and	Problem Set # 3 due Mar 18^th by 7 am well and
AP Calculus BC Songs	Higher Order Derivatives - Tune "Row Row Row Your Boat" - # 80	I Will Survive - Tune "I Will Survive" - # 61	I Will Survive - Tune "I Will Survive" - # 61	Limits - Tune "The Rubber Tree Song" - # 74
National Events	Mario Blueberry Popover Pack Your Lunch	Promposal Oatmeal Nut Waffles Worship of Tools	Working Moms Registered Dietitian Nutritionist Baked Scallops Plant a Flower	Dermatologist Jewel K9 Veteran Coconut Torte Good Samaritan	Children's Crafts Learn About Butterflies Pi Potato Chip Saturday Quilting Pears Helene Shoe The World Sunday Curl Crush Panda Artichoke Hearts Corn Dog