AP Calculus Blog

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. Review Phase of Class:  Getting Ready for the AP Calculus Exam

 April 9th – May 15th

Here is the Unit  Plan  BC Review for AP Test unit plan 2018-2793yrp

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

sol to practice test_-2jia88i

B.  Worksheets Taylor Series Unit

Ticket Out the Door Power Series Day 1

POWER SERIES

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 beginning Worksheet

Taylor Series to Memorize

Taylor Series Day 2 Ticket Out the Door

Taylor MaclaurinPolynomial

LaGrange Error Lesson-2kgbrtz

C.  Notes Taylor Series Unit

notes on power series Day 1

Day 1 notes power series

notes substitution integration and derivatives of power series

notes taylor series day 3

Taylor Serires notes days 4 and 5

notes on lagrange error

Fri Mar 27th Lagrange error

notes on taylor series March 25th

LaGrange Error Lesson

 

 

 

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

Sequence Day 1-zjepg2

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 sequences-wicalp

notes geometric and divergence tests for series-2h3tm5b

notes pseries,integral test and comparison test-vwo8n3

SeriesDay 2

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

Vector Review-1c79uu

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 eq-t4xhkv

Polar Information review-r65uib

equations of polar graphs-1y3ndt4

beginning polar graphs day 1-2j8xv83

Symmetry and Polar Equations 2006-2h6nj69

Area of Polar Curves-xhhhj3

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

HOYA-2ay6g88

Review MC Polar Questions-201vogn

polar review-10shcp0

C.  Notes

notes second day polar graphing-1baqt9n

notes derivatives of polar graphs-1qcryo5

Area of Polar Curves Notes page-2fxasbj

notes day 1 area-1n8rb7n

notes on polar area day 2-pa8b84

notes general review-2egqw88

HOYA Block Practice Derivatives of Polar Curves-1b5egcu

solutions to HOYA Block practice Derivatives of Polar Curves-pws8q1

HOYA-2ay6g88

 

 

 

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

BC Calculus Test 2010

bc test 1 2010 sol

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

Parametric review-2nhxhnl

key to review sheet-16iqzaf

II.  Parametric Unit worksheets

lion and ranger and parametrics eq 1-vu21tb

BCParametric-1vbrwia

Day 2 Ticket out the Door Parametric Unit-16ug1le

hand out for Parametric Curves-2cv8dqf

Parametric review-2nhxhnl

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

Warm Ups Calculus BC Unit 1

Enrichment Unit 1 BC

lhopitals-lesson

improper-integrals-lesson

improper-integration-day-2-comparison-test

Station Activity Unit 1

differential equation edited ws1

diffeq slopefields day 1

Euler Approximation

day-2-differential-eqs

exponential-growth-and-decay-worksheet

unit 1 review sheet

III.  Notes from Unit One

notes-lhopitals

notes-on-comparison-test

notes-improper-integ-day-1

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

eulers-method-notes

 

 

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 bt curves intro-1fqgkx4

Area between curves guided practice-1r2434w

area bt curves-2bta8de

Enrichment integration applications-195ty3c

Exponential Growth and Decay Worksheet-t6jpys

Graphs for Preassessment Tiered Assignment-rm87ij

Playdoh worksheet-up3bvg

Review Area and Volume group activity-1ihyi2b

Spring Diff equ-1ab59dbslope fields-125hbdm

Tiered Assignment Integral Applications-1qwsk8t

slope fields-125hbeu

volumes of revolution warmup for skills check-295mh2c

vol rev i ii iii-131c8jl

solutions vol rev region i ii iii-2b0vu6i

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

Volumes Spring 2005-1dg780o

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

vol revolution notes-2771qpv

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

u-sub-lesson

special-prob-u-sub

Tiered Assignment u-substitution-q75ay4

arctrig-int

homework-trig-integration

integration-by-parts-product-rule-backwards

multiple-choice-rules-of-integration

partial-fractions-nov2012

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

trig-int-pg-1

trig-int-pg2

integration-review-4-06

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-u-substitution-day-1

notes-on-u-sub-day-2

notes-on-arctrig-and-usub

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

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

notes-on-trig-integrals

notes-on-trig-integrals

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

1b-indefinite-integration-ap

Trapezoid method activity-pyecjj

fund-theorem-warmup-oct-25th

fundamental-theorem-of-calculus-graphs-warmup

fund-thm-worksheets-scan

meaning-of-integration-warm-up-problems

reimann-sum-practice-2

six-reimann-sums-graph

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

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

more-fund-thm-worksheets-scan

fund-thm-of-calculus-1

fund-thm-meaning

fundamental theorem pt II worksheet Kuta and answers-2kxf1d9

integration-multiple-choice

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

PSAT Review 1 – Key-18cdlj2

PSAT Review 2 – Key-12wvz5y

PSAT Review 3 Key-1o7u6k3

I.  Assignment sheet, practice tests and helpful websites

AP Der Appl AP Ed 2017 unit plan-2jy7yeg

deriv-apps-practice-testb-fall-2011

sol-practice-test-deriv-apps

sol-to-rvw-der-apps

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

II.  Derivative Applications Worksheets

Ticket Out the Door Linearization

linearization lesson

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

warmups-related-rates-and-evt

halloween-related-rate

der-apps-wkst-one

der-apps-wkst-two

der-apps-wkst-three

mean-value-theorem

meanvaluethm

maximum-and-minimum-values

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

1st-2nd-der-worksheet

3-first-derivative-test-critical-points

5-group-work-curve-sketching

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

6-sketch-function-and-second-derivative

behavior-of-curves

curve-sketching-ap-review

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

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

given-f-draw-f

introduction-to-curve-sketching-ap

behavior-of-curves

der-app-rvw

optimization-problems

review-for-derivative-applications-test

sol-to-rvw-der-apps

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

optimization-notes-day-1

 

 

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

der inv extra sheet

Derivative Multiple Choice Review

Derivative Shortcuts

derivatives exponentials and logarithms

Derivatives of Inverse Trig Functions

Good Warmups

particle motion worksheet

Product Rule and Quotient Rule

Station Activity Day 1 worksheet to take home

The Derivative of the Inverse

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

ticket p2 chain rule

trig deriv

Chart and graph deriv-17hqo33

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-1

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

implicit-differentiation-notes

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

lhopitals-notes

Unit 3 Meaning of Derivative Unit

I. Assignment sheet, practice tests and helpful websites

http://tutorial.math.lamar.edu/Classes/CalcI/DefnOfDerivative.aspx
https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-defining-derivative/v/calculus-derivatives-1-new-hd-version

II.  Worksheets

interpreting derivative

interpreting derivative

squirrel activity

Solutions to 1st 2nd derivative

Curve sketching enrichment

Comp cont ave rate with instan rate

Derivatives ap multiple choice

Summary Beginning Derivatives

Ticket Out the Door Curve Sketching Day 1

Ticket Out the Door after Curve Sketching

Meaning of Derivative Practice Test 2012 Form B

Curve sketching enrichment

linearization lesson

particle motion lesson

III.  Notes for meaning of derivative unit

Notes on interpreting the derivative

class notes day 1 meaning of derivative

notes on curve sketching

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

AP Limits summary review

AB Calc lim Test Fall2006

Solutions to review sheet

answers to review sheet

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 Continuity

limit rules

understanding continuity

AP Finding More Limits Algebraically

AP Graphs from Limits #2

AP Limits Involving Infinity #2

AP One-Sided Limits

AP Vertical and Horizontal Asymptotes #2

def limit from both sides

extra prob. limits

graphs from Limits 3

Intermediate Value Theorem

infinite limits

limits from table of values

Limits from a graphs (3)

limits think tac toe

More Practice on Finding Limits Algebraically

Multiple Choice Limits

PLAY TIME LIMITS

Writing limits from graphs

Limits Worksheet

Think-Tac-Toe Instructions

Understanding Continuity AP Calculus AB

key limits practice test

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

precalc unit practice test

precalc review problems

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

Domain and Range 2005

Solutions to problems at the end of the Domain packet:

domain practice sol-29os1dv

e ln transformation graphing

calcarctrrig&solving

Enrichment activities unit 1

Functions with a chart or graph

Inequality Handout

known trig values

Piecewise formulas

Transformations

warmups domain and transformations

precalc review problems

precalc unit practice test

practice test precalc worked out solutions

precalc review problems

Unit Circle template-1dlu6er

III.  Precalculus Unit Notes

class notes exponentials and logs

class notes inequalities

Transformations

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

precalc review problems

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