**AP Calculus BC Student Syllabus AP Calculus BC Student Syllabus 2018-q4gxin**

## Link to register for the AP Calculus BC exam https://user.totalregistration.net/AP/111734

## Link for Extra Credit Virtual Museum on Optimization and Related rates — Use the Blue /Yellow Template

http://christykeeler.com/EducationalVirtualMuseums.html

## I. Taylor Series Unit March March 20th – March 30th

### A. Series Unit Plan, Practice Test and Solutions to Practice Test

Power Series Taylor Poly Assignments 2018-1uhid81

Taylor Test 2013 Form A-1t71g61

### B. Worksheets Taylor Series Unit

Ticket Out the Door Power Series Day 1

Day 2 substitution into known power series

Power Series SubDerivInteg practice for quiz

sol to practice sub,deriv,intc

Power Series diff int (version 2)

Taylor Series Day 2 Ticket Out the Door

### C. Notes Taylor Series Unit

notes substitution integration and derivatives of power series

Taylor Serires notes days 4 and 5

notes on taylor series March 25th

__ __

## I. Series Unit March 5th – 15th

### A. Series Unit Plan, Practice Test and Solutions to Practice Test as well as solutions to midterm review

BC calc. seq and series assignment sheet 2018-20v8f32

BC Seq series Test 2011 Form B

sol to practice test 2011b-002

review solutions for midterm-10n7jjv

### B. Series Unit Worksheets

Ticket Out the Door Geometric Series-1n6xsp2

Ticket Out the Door Alternating Series-pch8rt

series test chart Revised-1wmo4x5

Sequences and Series 8.1-8.3-1t9e2cv

Putting it all together 1 page-2e797ez

alt series remainder theorem-1ce4rn2

Ratio Test and Root Test-2cyvxzt

alternating series, absolute convergence and ratio test-2j0j5na

Guess the Grade Activity-1qe13v0

### C. Series Unit Class Notes

notes geometric and divergence tests for series-2h3tm5b

notes pseries,integral test and comparison test-vwo8n3

notes telescoping series-1e5i42v

notes limit comparison test-12s6qtu

Notes worksheet 8 1 through 8 3-11bru31

alt series test and absolute convergence notes for march 10th-2et5bth

Notes ratio test and root test-y0isqr

## I. Vector Unit. Feb. 26th-March 2nd

### A. Unit Plan, Practice Test and Solutions to Practice Test

BC Calculus Vector Assignments 2018-27efmd7

Vector Test Calculus only BC2011-1pwh2pd

vectors calc practice test solutions-16obtj4

### B. Vector Unit Worksheets

Vector Valued Functions-13045ar

Ticket Out the Door Vector Functions Derivatives and IntegralsName-28uu8ov

Around-the-Room-Activity-Vector-Calculus-2nd copy-1svolb6

Around the Room Activity Vector Calculus-2ljyiuf

answers to review sheet on vectors-1lusa0p

### C. Vector Unit Notes

notes on domain and limits of vector functions-1prvp2j

notes derivs and integs vector functions-1qq273d

## I. Polar Unit Feb 5th-16th

### A. Unit Plan, Practice Test and Solutions to Practice Test and helpful websites

Polar Assignments 2018-1gyp2kz

BC Calc Polar Test 2012 Form B-2j28pid

practice test polars sol-16goaou

helpful websites:

https://www.khanacademy.org/math/calculus-home/integration-applications-calc/area-defined-by-polar-graphs-calc/v/formula-area-polar-graph

http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx

### B. Worksheets

beginning polar graphs day 1-2j8xvuz

Things to Know about Polar Equations-1am9av3

Polar Information review-r65uib

equations of polar graphs-1y3ndt4

beginning polar graphs day 1-2j8xv83

Symmetry and Polar Equations 2006-2h6nj69

Polar Graphing Lesson Days 1 and 2-20q805f

Polar Worksheet Tangents and ArcLength-1q1gqme

Polar Graphing Stations take home worksheet-25xc74j

HOYA Block Practice Derivatives of Polar Curves-1b5egcu

solutions to HOYA Block practice Derivatives of Polar Curves-pws8q1

Review MC Polar Questions-201vogn

### C. Notes

notes second day polar graphing-1baqt9n

notes derivatives of polar graphs-1qcryo5

Area of Polar Curves Notes page-2fxasbj

notes on polar area day 2-pa8b84

HOYA Block Practice Derivatives of Polar Curves-1b5egcu

solutions to HOYA Block practice Derivatives of Polar Curves-pws8q1

## Unit 1 Test Rescheduled for Tuesday Jan 23rd!

## I. Unit Plan, Practice Test and Solutions for Unit 1 Calculus BC: L’Hopital’s, Improper Integrals and Differential Equations

CalcBCunit1assignments2018-281x7a

All the rest of unit 1 worksheets below the parametric unit materials loaded immediately hereafter.

## I. Parametric Unit Beginning On Wednesday January 24th Practice Test, Solutions to Practice Test, Review Sheet and Solution to Review sheet

Parametric Test 2011 Form B Practice Test-1y0pvzl

practice test parametrics solutions-1gwy0pm

## II. Parametric Unit worksheets

lion and ranger and parametrics eq 1-vu21tb

Day 2 Ticket out the Door Parametric Unit-16ug1le

hand out for Parametric Curves-2cv8dqf

Parametrics addison wesley day 1-sgi99j

Parametric calculus worksheet-10h6xo9

Logistic Equation key points notes page-237b8tr

## III. Notes on Parametric Unit

lion and ranger and parametrics eq 1-vu21tb

Notes on Derivative of Parametric Curve-10q864w

Logistic Equation key points notes page-237b8tr

notes on calculus of parametrics-1iqsmjs

Notes on logistic curves-1tg9eus

## II. Worksheets for Unit 1 Calculus BC

improper-integration-day-2-comparison-test

differential equation edited ws1

exponential-growth-and-decay-worksheet

## III. Notes from Unit One

notes-diff-eq-slope-fields-and-eulers

**AP Calculus Student Syllabus AP-Calc-AB-Fall-Student-Syllabus-2017-without-SLO-22e2naa-1kzhf4v**

**AP Calculus Standards** Calculus standards-1v9m3ep

## Answers to integration review for final exam: ap calc ab ans to rvw int packet-12sv7r3

## Unit 8 Applications of Integration Unit Nov 14th -Dec 7th

### I. Assignment Sheet

AB Appl Integ Student Unit Plan 2017-2kb5pma

### II. Worksheets

Area between curves guided practice-1r2434w

Enrichment integration applications-195ty3c

Exponential Growth and Decay Worksheet-t6jpys

Graphs for Preassessment Tiered Assignment-rm87ij

Review Area and Volume group activity-1ihyi2b

Spring Diff equ-1ab59dbslope fields-125hbdm

Tiered Assignment Integral Applications-1qwsk8t

volumes of revolution warmup for skills check-295mh2c

solutions vol rev region i ii iii-2b0vu6i

warmups and hoya block area and volume cross sections-1pmucw0

## Notes Applications of Integration

Notes on area bt curves and average value-x73vof

notes on growth and decay-1bsb8w7

notes on slope fields and diff eqs-1bfst08

Answers to review sheet problems worked in class Dec 9th-2bk1c5u

review sheet volumes of revol practice #7 a, b new ones 7c,d-1zxwpkj

## Unit 7 Rules of Integration Unit Oct. 30th -Nov. 13th

### I. Assignment Sheet, practice tests and helpful websites

AB Rules of Integ 2017 Unit plan-1pndkxo

2013-practice-test-integration-rules-a

key to practice test 2013 form a-1vahgzw

### II. Worksheets

enrichment-for-integral-rules-unit

Tiered Assignment u-substitution-q75ay4

integration-by-parts-product-rule-backwards

multiple-choice-rules-of-integration

ticket-out-the-door-integration-by-parts

more-practice-arctrig-and-trig-integrals

Ticket Out the Door Integration by Parts-1yru9m7

Ticket Out the Door u-dv day 2-1zzk4lf

III. Notes Rules of Integration Unit

notes-on-integ-by-parts-daay-1

integration-by-parts-day-2-notes-and-ticket-out-the-door-day-1

solutions to more practice trig and arctrig integration-1va1rxa

notes-on-partial-fractions-and-long-division-oct-30th

2nd day integ by parts including cycling notes thurs oct 7th-17xmfls

## Unit 6 Meaning of Integration Unit Oct. 17th-Oct 30th

### I. Assignment Sheet, practice tests and helpful websites

AB Meaning of Int AP 2017-121awwg

practice-test-ap-calculusf13-testa

practice-test-mean-integ-solutions

solutions-to-select-problems-from-review-sheet

### Worksheets Meaning of integration unit

ticket-out-the-door-antiderivatives-and-slope-fields

ticket-out-the-door-definite-integration

enrichment meaning of integration-2ky3p2m

Ticket Out the Door Reimann Sums-1ao53gy

day-1-finding-the-antiderivative

1a-finding-the-antiderivative-ap

Trapezoid method activity-pyecjj

fundamental-theorem-of-calculus-graphs-warmup

meaning-of-integration-warm-up-problems

answers-to-riemann-sums-worksheets-day-1-oct-17th

answers-to-riemann-sums-worksheets-day-2

fundamental theorem pt II worksheet Kuta and answers-2kxf1d9

reimann-sum-and-integrals-they-represent

preassessment-trapezoid-method-think

practice-test-ap-calculusf13-testa

### Meaning of Integration Notes

notes day 1 antiderivatives-1ni9vwh

notes-on-reimann-sums-oct-16th

class-notes-oct-23rd-fundamental-theorem-of-calculus

notes-to-finding-the-value-of-a-definite-integral-oct-17th

answers-to-riemann-sums-worksheets-day-1

answers-to-riemann-sums-worksheets-day-2

## Unit 5 Derivative Applications Unit Sept 19th-October 12th

#### ap-calculus-writing-activity-fall-2012

## Solutions to hoya block related rates

hoya block related rates-1zmmpi6

### Solutions to PSAT Review

### I. Assignment sheet, practice tests and helpful websites

AP Der Appl AP Ed 2017 unit plan-2jy7yeg

deriv-apps-practice-testb-fall-2011

topic-list-for-midterm-and-selected-solutions-to-midterm-review

### II. Derivative Applications Worksheets

Ticket Out the Door Linearization

class-examples-of-related-rates-day-1

abs-max-and-min-extreme-value-theorem

3-first-derivative-test-critical-points

4-second-derivative-test-concavity-inflection-points

6-sketch-function-and-second-derivative

derivative-applications-f-first-der-2nd-der-test-q

drawing-the-first-derivative-from-a-graph

introduction-to-curve-sketching-ap

review-for-derivative-applications-test

answers-to-review-for-derivative-application-test

### III. Derivative Applications Notes

notes-on-curve-sketching-day-1

notes-on-related-rates-circle-sphere-pythagorean-theorem

related-rates-day-2-notes-and-go-over-day-1-homework

related-rates-day-3-and-homework-day-2-shadow-and-cone

class-examples-of-related-rates-day-1

notes-on-curve-sketching-day-3

## Unit 4 Derivative Rules Unit Aug 30th – Sept 15th

### I. Assignment sheet, practice tests and helpful websites

AB Rules of Deri Assign 2017-1gt3cil

2011 A practice test derivative rules

2011 A practice test solutions

### II. Worksheets Derivative Rules Unit

power rule basics and basic differentiation shortcuts day 1 and mixed derivatives 1 and 2 (day 2) and power, product, quotient, trig (day 4) der rules wkst one

Chain rule 1 and 2 worksheets and logarithmic differentiation worksheets: der rules wkst two

Defn of deriv multiple choice, derivatives of ln x, e^x and a^x der rules wkst three

Derivative Multiple Choice Review

derivatives exponentials and logarithms

Derivatives of Inverse Trig Functions

Product Rule and Quotient Rule

Station Activity Day 1 worksheet to take home

Ticket Out the Door Derivative Rules Day 1

Ticket Out the Door Product Rule and Quotient Rule

Ticket Out the Door Trig Derivatives

Ticket Out the Door Chain Rule Day 1

AP Implicit Differentiation new-1a8b847

### III. Derivative Rules Notes

Solutions to power rule homework problems p 181 solutions to questions from power rule homework-2g7qioq

Day 1 power rule notes, derivative shortcuts worksheet solutions, hints on ticket out the door

particle motion lesson-26rr428

notes on trig derivatives and derivatives from charts and graphs

notes-on-chain-rule-day-2-and-logarithmic-differentiation

implicit-differentiation-notes

notes-on-deriv-of-inverse-trig-and-deriv-of-inverse

## Unit 3 Meaning of Derivative Unit

### I. Assignment sheet, practice tests and helpful websites

### II. Worksheets

Solutions to 1st 2nd derivative

Comp cont ave rate with instan rate

Derivatives ap multiple choice

Ticket Out the Door Curve Sketching Day 1

Ticket Out the Door after Curve Sketching

Meaning of Derivative Practice Test 2012 Form B

### III. Notes for meaning of derivative unit

Notes on interpreting the derivative

class notes day 1 meaning of derivative

class notes day 1 meaning of derivative

## Unit 2 Limits Unit

## I. Assignment sheet, practice tests and helpful websites

AB Calc Limits assiAB Mean der assign 2017-1ssbs09

https://www.khanacademy.org/math/calculus-home/limits-and-continuity-calc

https://www.mathsisfun.com/calculus/limits.html

http://tutorial.math.lamar.edu/Classes/CalcI/LimitsAtInfinityI.aspx

https://socratic.org/calculus/limits/infinite-limits-and-vertical-asymptotes

## II. Limits Unit Worksheets

AP Finding More Limits Algebraically

AP Limits Involving Infinity #2

AP Vertical and Horizontal Asymptotes #2

More Practice on Finding Limits Algebraically

Understanding Continuity AP Calculus AB

## Limits Unit Notes

limits from graphs notes day 1-sgegry

class notes finding limits from graphs

finding limits algebraically notes

more notes of algebraic limits

continuity and Intermediate Value Theorem

**Unit 1 Precalculus Unit**

**I. ****Assignment sheet, practice tests and helpful websites**

AP-PreCalculus-Assign-2017-1w2vy0j

practice test precalc worked out solutions

rvw trig and dom final-08042016230250

Helpful websites:

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/e/domain_and_range_0.5

https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/domain/domain_of_rational_practice.html

http://www.beatthegmat.com/critical-points-method-for-inequalities-explained-useful-t110450.html

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html

for solving e and ln equations:

https://www.mcckc.edu/tutoring/docs/bt/exp_rad_log/Logarithms_and_Their_Properties.pdf

http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/eandl/equations/equations.html

www.coolmath.com for solving e and ln equations

**II. Precalculus Unit Worksheets**

Solutions to problems at the end of the Domain packet:

Functions with a chart or graph

warmups domain and transformations

practice test precalc worked out solutions

**III. Precalculus Unit Notes**

class notes exponentials and logs

Class notes domain and eq lines

notes day 1 eq of lines piecewise fcts and transformations

class notes arctrig solving trig-2bo6ffx

class notes thurs aug 7th arctrig solving trig-132wi38

rvw trig and dom final-08042016230250

Answers to review trig and domain worksheet: rvw trig and dom final-08042016230250