AP Calculus Blog

AP Calculus Student Syllabus AP-Calc-AB-Fall-Student-Syllabus-2017-with-SLO-y3n3do

AP Calculus Standards Calculus standards-1v9m3ep

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