Welcome to Unit 5 - Parametric, Vector, & Polar Functions of AP Calculus BC

I will do my best to create a positive learning environment for each of you.
Most weeks we will utilize handfuls of technological tools.

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

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

Be Your Best, Do Your Best, & Breathe!

Unit 5 – Quote – “It's Up To You How Far You Go. If You Don't Try You Will Never Know. - Merlin, The Sword and the Stone"

Unit 5 - Parametric, Vector, & Polar Functions
Objectives

Students will be able to:

EK 2.1C7: Methods for calculating derivatives of real-valued functions can be extended to Vector-Valued Functions, Parametric Functions, and functions in Polar coordinates.

EK 2.3C4: Derivatives can be used to determine velocity, speed, and acceleration for a particle moving along curves given by Parametric or Vector-Valued Functions.

EK 3.4C: The definite integral can be used to determine displacement, distance, and position of a particle moving along a curve given by Parametric or Vector-Valued Functions.

EK 3.4D3: The length of a planar curve defined by a function or by a Parametric defined curve can be calculated using a definite integral.

EK 3.G.1 - Calculating derivatives of functions written in Polar coordinates.

EK 5.D.1 - Calculating areas of regions defined by Polar curves using definite integrals.

Apr 10^th

Apr 11^th

Apr 12^t

Apr 13^th

Apr 14^th

Unit 5 Packet

PDF Version

AP Calculus BC
Topic/Concept

Polar Area –
Part 2 & Project Plan Time

Review &
Project Plan Day

Quiz # 2

Review &
Project Plan Day

Unit Test 5

Week 11

4^th Period

1. Discuss National Events, Unit 5 Objectives, Polar 1 HW 4, Jamboard, & Spring Break Events

2. - Transforming Polar Equations

3. Classwork Examples = Your Turn! & Turn the Light On Activity

4. Discuss Exam Schedule, Project Themes:
Famous Trios # 1 # 2
Famous Duos & will determine Presentation Day

Long Range Classwork Assignment

1. Discuss Quiz # 1 & HW results =

2. Project Groups = Bowling Quiz # 7 & 8

3. Project Plan TIme

4/17	4/18	4/19	4/20
Group 1	Group 2	Group 3	Group 4

Quiz # 2

1. DIscuss HW results = Fish Race

2. Free Response Scoring Procedures 2019

3. Group Discussion = AB & BC 2021 = 20 min

4. Discuss AP Central Notes for 2021

5. AP Central Review Schedule Link

Review Session 1: Integration Techniques for AP Calculus BC
Review Session 2: Euler's Method, Logistics, and Differential Equations
Review Session 3: Taylor Polynomials
Review Session 4: Convergent and Divergent Series
Review Session 5: Working with Manipulating Series Review Session 6: Working with Parametric Equations and Vectors
Review Session 7: Working with Polar Equations
Review Session 8: Putting It All Together: Strategies & Tips for the AP Exam

The NEW Version of Reviews for this year will start on AP Central on April 17^th!!!

6. Discuss Quiz # 2 results

7. Project Plan Day

Unit Test 5

Day 6 & Put the Homework Problems on the for Tuesday's Class by 7:00 am
- Polar Models due Friday by 7 am (Class Link)
Read Chapter Read Chapter

HW = Worksheet Pages 24 - 27 due Thurs for class
Work on Project
Problem Set # 4 due Apr 19^th by 7am
"Big Ideas" Weekly Journal Entries due Apr 18^th

Tues' HW

Problem Set # 5 = International AP Calculus BC Practice Exam - Part 1 & Part 2 due May 3^rd & May 4^th
Work on Project
HW Upload Chart for Group Project
Give Your Boss a Compliment

(❁´◡`❁)

well and
!

Work on Project
Review Quiz # 1 = Take Home Quiz due Apr 20^th

AP Calculus BC Songs

Video Song - Under the Curve

Video Song - The Average Rate of Change

I WIll Survive - Song # 61 - "I WIll Survive"

Video Clip Tune - "I WIll Survive

Riemann Sums - Song # 20 - "Jingle Bells"

Video Song - Hello Calculus Parody

National Events

Farm Animals Day

Cinnamon Crescent Day

Siblings Day

Encourage A Young Writer Day

Barbershop Quartet Day

Only Child Day

For Twelves Day

Grilled Cheese Sandwich Day

International Laverbread Day

Gardening Day

Dolphin Day

Look Up At The Sky Day

Day Of Silence

Pecan Day

Reach As High As You Can Day

April 15

Laundry Day

Purple Up! Day

Auctioneers Day

Glazed Spiral Ham Day

Rubber Eraser Day

Take A Wild Guess Day

Tax Day

April 16

Bean Counter Day

Orchid Day

Healthcare Decisions Day

Wear Your Pajamas To Work Day

Eggs Benedict Day

Winter	Spring	Summer	Fall

Sayed Jacob Emma	Cora Henry	Andrew Duke Felicia	Vish Campbell Maira

Project Chart of Details:

Project Guidelines & Information

Group 1 - April 17

Presentation Group

Group 2 - April 18

Presentation Group

Group 3 - April 19

Presentation Group

Group 4 - April 20

Presentation Group

The Group Website Page for Presentation Links

Evaluation Feedback Form

download

Daily Homework Upload - Multiple Choice results & Work

Group Survey/Ranking Form

Self Reflection - Individual Response

Group Work PowerPoint

AP Calculus BC - "Paul's Notes" - Website Link

Trapezoid Rule - VIdeo Clip & Power Point Info-pdf

Keep up the Good Work for this Semester in All of Your Classes!

Additional Resources, Previous Skill Review, & Picture Examples Below:

5 Steps to a 5 on the AP Calculus BC Exam - Book Link

AP Central Video Resources	9.3 Arc Length - Parametrics
1.8 Determining Limits using the Squeeze/Sandwich Theorem	9.4 Vector - Value Functions
8.7 Volumes with Cross Sections - Part 1	9.5 Integrating Vector - Value Functions
8.8 Volumes with Cross Sections - Part 2	9.6 Parametric Motion Problems
8.13 Arc Length	9.7 Polar Functions
9.1 Parametric Functions	9.8 Area of Polar Functions
9.2 2nd Derivative of Parametric Functions	9.9 Area Between Two Polar Functions

Alternating Series Remainder - Video Info	Lagrange Remainder - Video Info for non Alternating Series
Parametric - Pre-Calculus Review - Video Info	Derivatives of Parametric Functions - Video Info
Arc Length with Parametric Functions - Video Info	Polar Coordinates - Pre-Calculus Review - Video Info
Tangent Lines of Polar Graphs - Video Info	Area of Polar Graphs - Video Info
Calculus of Vector Valued Functions Example # 1 - Video Info	Calculus of Vector Valued Functions Example # 2 - Video Info

AP Central Video Resources

Free Response Scoring Procedures (2019 & 2021)

AP Central Review Schedule Link

AP Calculus BC Topic List

2020 - Video Links

Sample Video # 1 Sample Video # 2)

AP Calculus BC 2018	AP Calculus BC 2017	AP Calculus BC 2016 (	AP Calculus BC 2015
AP Calculus BC 2014	AP Calculus BC 2013	AP Calculus BC 2012	AP Calculus BC 2011

Keep up the Good Work for this Semester in All of Your Classes!

6. Stay Safe, Do Your Best, Give Your Best,