Welcome to Unit 3 - Applications of Derivatives of AP Calculus AB

Unit 3 Quote – “Believe in Yourself and all that you are. Know that there is something
inside you that is greater than any obstacle.” – Christian D. Larson

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

Wednesday Afternoon Office Time (2:30pm - 3:30pm)

Be Your Best, Do Your Best, & Breathe!

Unit 3 - AP Calculus National Objectives

Students will be able to use techniques of differentiation to:

Determine the applicability of important calculus theorems using continuity. (Intermediate Value Theorem, Rolle's Theorem, the Extreme Value Theorem, and the Mean Value Theorem)
Analyze properties of a function - 1^st & 2^nd Derivative Tests of a function can provide information about the function and its graph including intervals of increase or decrease, local (relative) and global (absolute) extrema, intervals of upward or downward concavity, and points of inflection.
Interpret the meaning of a derivative within a problem.
Solve problems involving related rates, optimization, and rectilinear motion.
Solve problems involving rates of change in applied contexts.
Use differentiation rules to calculate derivatives (powers, products, quotients, trigonometric functions, trigonometric inverses, exponential , natural logarithmic, logarithmic functions, higher order derivatives, and inverse functions).

	Oct 9th	Oct 10^th	Oct 11^th	Oct 12^th	Oct 13^th

AP Calculus AB Topic/Concept	Workday	Related Rates	Related Rates	1st & 2nd Derivative Tests	Quiz # 1
Week 7
1^stPeriod		1. Discuss HW 14 - Intro to Related Rates & Commercial for Related Rates 2. Chant Process = "Picture Set-up Work Answer" "Macbeth Chant" 3. Related Rates Video Discovery Activity w/Index Card - 5 min 4. Discuss Related Rates Lego Career Project Information 5. Related Rates PPT	1. Discuss National Events 2. 2nd Related Rates PPT Word Problems 3. Youtube - Related Rates Song 4. Related Rates - Ruler Activity 5. Lego Career Project - Plan Time 6. Select your National Events from Units 1, 2, or 3 - State the Specific Day and the National Event used for each Word Problem. 7. Work on HW 8. Additional Related Rates Examples	1. Discuss Tues' HW & # 51 - "Distance, Velocity, & Acceleration" Song 2. Derivative Test Vocabulary, PPT, & Guided Notes 3. Example problems from PPT 4. Your Turn! & Turn the Light On Activity 5. Discuss Unit Test results 6. Lego Career Project Plan Time	Quiz # 1 "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive
		2^nd Chance Unit Test Opportunity = Wednesday afterschool Assignment Link & Related Rates Link HW 1 - Related Rates due Thursday by 7am Career Interest Survey, 4 Letter Code, Student's Name, & Career Choices on the Lego Career Project by Thursday 7 am Say Something Nice To Your Parents!!!	^{Tues' HW} "Big Ideas" Weekly Journal Entries due Oct 20^th	HW 3 - Worksheets due Mon by 7am 4.3 & 4.6	Thurs' HW Watch AP Central Videos
AP Calculus AB Songs		# 19 - "Calculus Is Cool"	Youtube - Related Rates Song		# 51 - "Distance, Velocity, & Acceleration" # 16 - Derivatives of Graphs
National Events	Online Bank Day Columbus Day Moldy Cheese Day	Metric Day Walk To A Park Day Handbag Day. Cake Decorating Day Angel Food Cake Day	Curves Day. Fossil Day Sausage Pizza Day Bring Your Teddy Bear To Work/school Day	Savings Day Gumbo Day Farmer’s Day	Yorkshire Pudding Day Train Your Brain Day Saturday I Love Yarn Day Dessert Day Chess Day Costume Swap Day. Sunday Shawarma Day Cheese Curd Day I Love Lucy Day

Week 8

	Oct 16^th	Oct 17^th	Oct 18^th	Oct 19^th	Oct 20^th

AP Calculus AB Topic/Concept	Particle Motion	Rectilinear Motion	Optimization ACT Testing Day	Derivatives of Trig Inverses	Quiz # 2
Week 8		After School Tutorial is Tuesday instead of Wednesday this week.		Picture Make-up Day
1^stPeriod	1. Discuss National Events, HW 3 results, & "Formula Bee" = Line-up Activity 2. Particle Motion Vocabulary & Guided Notes - PPT 3. Discuss Quiz results 4. AP Central - 9.12 Parametric 2^nd Derivatives 5. Unit Circle Review Song 6. Trig Review Song 7. Unit Circle Finger Demo 8. Unit Circle Review Game	1. Rectilinear Motion PPT 2. Intro Video to Particle Motion 3. Particle Video # 2 4. Optimization PPT & Notes	1. Finish Optimization PPT & Notes, if needed 2. Discuss Online Derivative Practice - Transum Link 3. Pipe Cleaner Activity & Desmos La Croix Activity 4. Lego Career Project - Plan Time	1. Discuss HW 5 results, Practice Test, & Twinkle Song 2. Derivatives of Trig Inverses - PPT - Part 1 3. Youtube - Inverse Trig Derivative Examples 4. Work on Lego Career Project due Oct 30^th	Journals = Tray at the back of the room Quiz # 2 "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive
	HW 5 due Thurs by 7 am Lego Career Project due Oct 30^th "Big Ideas" Weekly Journal Entries due Oct 20^th Give Your Boss and A Teacher A Positive Message!!!	Mon's HW due Fri by 7 am 4 Assignments - Motion Problems - Concavity & Inflection Points - Rates of Change - Optimization	Mon & Tues' HW HW 7 - Worksheet due Mon by 7 am = Classwork Grade La Croix Activity & Worksheet Pages 25 - 27 - Link due Mon by 7 am Read 4.4 "Big Ideas" Weekly Journal Entries	Tues & Wed's HW Online Derivative Practice - Transum Link Watch AP Central Videos	Wed's HW AP Central Problem Set # 3 due by 7 am Nov 8^th
AP Calculus AB Songs	# 15 Calculus Class Youtube - Unit Circle Review Song	#35 - From A Distance	# 55 Getting To Know Math	# 59 - Follow Me #38 - Twinkle Writing
National Events	Sports Day Clean Your Virtual Desktop Day Dictionary Day Boss’s Day	Pasta Day	No Beard Day. Chocolate Cupcake Day	Seafood Bisque Day	Chicken And Waffles Day Day Of The Air Traffic Controller Chefs Day Get Smart About Credit Day Saturday Back To The Future Day Whole Hog Barbecue Day Pumpkin Cheesecake Day Sunday Color Day Nut Day

Week 9

	Oct 23^rd	Oct 24^th	Oct 25^th	Oct 26^th	Oct 27^th

AP Calculus AB Topic/Concept	Derivatives of Trig Inverses	Theorems - Rolles, Mean Value (MVT), & Extreme Value (EVT)	L'Hopital's Rule & Linearization	Group Quiz # 3	Unit Test 3
Week 9		AP Registration Meeting 2^nd 1/2 of Class
1^stPeriod	1. Discuss National Events 2. Discuss HW, & Finish Thurs's Lesson - if needed. 3. PPT - Part 2 & "I'm Dreaming of a Right Angle" 4. In-class Link 5. Work on Lego Career Project due Oct 30^th	1. Discuss HW, Quiz # 2 results, & Guided Notes on Theorem PPT 2. Calculus Songs - #53 - Oh Calculus # 17 - The Mean Value Theorem 3. Game = Relay Race = Board 4. Registration Meeting	1. L'Hopital's Rule & Linearization PPT & Notes 2. Youtube - L'Hopital's Rule Song 3. In-Class Link	Group Quiz # 3 "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive	Unit Test # 3 "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive (Gloria & Caleb - UT Monday Lunch & After school)
	HW 10 - Derivatives of Trig Inverses & - 12 Volunteers for Tues' Class	8 Assignments due Monday by 7 am = Classwork Grade 1.Derivatives of Inverse Trig Functions - 2.Differentiating Functions - Errors - 3.Justification w/1st Der Test - 4.Justification w/ 2nd Der Test - 5.Tangents to graphs of Implicit Relations - 6.IVT & EVT Graph- - 7.Justification w/IVT - 8.Using the MVT Watch AP Central Videos	HW 12 -due Tuesday by 7am - Classwork Grade Practice Test Read Chapter 4 (Do Not Read Newton's Method) Read Worksheet Packet Page 37 Tue's HW due Monday by 7 am Lego Career Project	well Tues and Wed's HW Give A Small Gift To Someone!!! "Big Ideas" Weekly Journal Entries	Tues and Wed's HW Lego Career Project due Oct 30^th AP Central Problem Set # 3 due by 7 am Nov 8^th
AP Calculus AB Songs	# 27 - You've Got A Plan #33 I'm Dreaming of a Right Angle	#53 - Oh Calculus # 17 - The Mean Value Theorem	# 81 - L'Hopital #77 - L'Hopital #36 - My Favorite Geometry Things #36 - Mathematical Christmas Carol Youtube - L'Hopital's Rule Song
National Events	Boston Cream Pie Day Canning Day Paralegal Day TV Talk Show Host Day	Bologna Day	World Opera Day World Pasta Day International Artist Day	Pumpkin Day Mincemeat Day	Mentoring Day Saturday Chocolate Day Sunday Oatmeal Day Frankenstein Day

Week 10

	Oct 30^th	Oct 31^st	Nov 1st	Nov 2nd	Nov 3rd
	Monday	Tuesday	Wednesday	Thursday	Friday
AP Calculus AB Topic/Concept	*Review*	Midterm Exam	Workday	Unit 4 Begins	Unit 4 Begins
Week 10
1^stPeriod	1. Discuss National Events, Quiz # 3, Unit Test 3 results, (3x²- 2x - 2 = -1), & Group Activity 2. Discuss Midterm Exam Format - 3 FR & 36 MC - 80 min & 1^stQuarter Review - Video Clip 3. Discuss Midterm Exam Topic List - Worksheet Packet Page 37 4. Discuss/Start Lego Career Project Videos 5. Start Circuit Review in Groups of 2 (Gloria & Caleb - UT Monday Lunch & After school)	Midterm Exam "G R A N D" G - Graphical R - Real World A - Algebraic N - Numerical D - Descriptive
	well "Big Ideas" Weekly Journal Entries	Top 10 Voting Survey - due Nov 3^rd by 7am	Finish Lego Career Project Videos & Vote Problem Set # 3 due Nov 8^th by 7am	AP Central Problem Set # 3 due by 7 am Nov 8^th Tell Someone An Inspirational Quote and/or Popular Inspirational Saying!!!
AP Calculus AB Songs
National Events	Candy Corn Day Checklist Day Breadstick Day	Halloween Caramel Apple Day Magic Day	Author’s Day World Vegan Day	Deviled Egg Day Look for Circles Day Men Make Dinner Day	Cliché Day Sandwich Day Saturday Bison Day Sunday Chinese Take Out Day

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Anthony

Lorelei

Lilly

Marcel

Lottie

Caleb

Ella

Lauren

Samantha

Ben

Katie

Ian

Jack

Gloria

Luke

Riyan

Gabby

Arlen

Hannah

Moises

Peter

Wiley

Mason