AB Calculus Homework

Professor Leonard PlaylistsCalculus 1 (Covers almost all of AP Calculus AB) / Calculus 2 (Covers the rest of AP Calculus AB & most of AP Calculus BC)

Khan AcademyAll of AP Calculus AB

 

Wednesday 6/26/2019 (and on into the future...)

Optional ReadingWhat do you wish someone had told you about applying to college?

What do colleges want to see in your essays?

What DON’T colleges want to see in your essays?

Optional Reading: What do you wish someone had told you before college?

Optional ReadingMistakes Freshmen Make / UW Focused

Optional Watching: Student Loans Explained

 

Summer Information to Explore (Use the Power of Google!):

Consider coming up with 2+ Reach Schools, 3+ Target Schools, and 2+ Safety Schools after exploring data related to those schools.  Reach vs. Target vs. Safety Schools Explained.

Ex. search terms:  University of Washington admit data /  Northwestern admit data / Western Washington University admit data

Ex. search terms:  University of Washington financial aid data /  Northwestern financial aid data / Western Washington University financial aid data

Ex. search terms:  University of Washington majors offered / Northwestern majors offered / Western Washington University majors offered

Ex. search terms:  University of Washington competitive majors / Northwestern competitive majors / Western Washington University competitive majors

Note: If you qualify for free/reduced lunch AND you have 90+ percentile test scores and a solid GPA, you should apply to as many schools as possible, including a couple reach schools.  You may be shocked at the financial aid offer one of them gives you.  Common App (And Other App) Fee Waivers

Khan Academy SAT Website / SAT Practice Tests to Print (Includes Links to Answers and Explanations!)

SAT Score Choice

SAT Subject Tests - Who Requires Them / SAT Subject Tests - General Information / SAT Subject Tests - Preparation

Required ACT Book #1 / Required ACT Book #2

The Difference Between Early Action and Early Decision for College Applications

Early Action Schools / Early Decision Schools (This would require you to get your letters of recommendation EARLY as well!)

Financial Need (EFC) Estimator

Schools that Meet Full Financial Need

Financial Aid Explained / Student Loans Explained - Be sure to understand what you are getting into with student loans and how you will eventually pay them back!

Two Year vs. Four Year College - Pros and Cons / Ex. Equivalency Guide - Green River -> UW / Ex. Course Requirements - Bachelor of Science in Computer Science - UW

University of Washington Academic Planning Worksheets - Each academic planning worksheet shows you what GPA students earned at their previous college before transferring and getting into a given department at UW.

Ex. search terms:  University of Washington Transfer Admit Data

 

Tuesday 6/25/2019 - Mr. Harp is out (pesky appendix).

10.4/10.5 - Calculus in Polar Coordinates - Full Lectures

Professor Leonard Lectures on Polar Coordinates: Lecture 1 / Lecture 2

Read 10.5.

Consider working through the 10.5 book examples in your notes using your own work, adding annotations or questions in your notes as needed.

Consider accessing 10.5 Notes – Calculus of Polar Curves (in documents) on your own.

Aim to completely understand how calculus functions in Polar Coordinates.

10.4/10.5 Combined Part 110.4 (63, 65, 67, 77, 79) - The "pole" is the origin! / 10.5 (1, 3, 5, 17, 25, 27, 35, 39)

10.2-10.5 MORE Complete Solutions - Selected Problems (in Calculus Book Solutions; if you want problems added to this document, just write them on the white board)

Tutorial Videos:

10.4 - Polar Graphs on a TI Graphing Calculator

10.5 - Slope and Tangent Lines in Polar Coordinates

10.5 - Area Integrals in Polar Coordinates

10.5 - Area Bounded by TWO Polar Curves

10.5 - Arc Length in Polar Coordinates

10.5 - Surface Area in Polar Coordinates

 

Monday 6/24/2019 - Mr. Harp is out (pesky appendix).

10.4/10.5 - Calculus in Polar Coordinates - Full Lectures

Professor Leonard Lectures on Polar Coordinates: Lecture 1 / Lecture 2

Read 10.4.

Consider working through the 10.4 book examples in your notes using your own work, adding annotations or questions in your notes as needed.

Consider accessing 10.4 Notes – An Introduction to Polar Coordinates (in documents) on your own.  Are you ready for 81 Slides of Polar Goodness?

Aim to completely understand how calculus functions in Polar Coordinates.

10.4 Part 1 (1, 3, 5, 11, 13, 15, 23-26, 27, 29, 31, 37, 39, 47, 49, 51)

10.2-10.5 MORE Complete Solutions - Selected Problems (in Calculus Book Solutions; if you want problems added to this document, just write them on the white board)

Tutorial Videos:

10.4 - Converting Between Polar Coordinates and Rectangular Coordinates

10.4 - Converting Between Polar EQUATIONS and Rectangular EQUATIONS

10.4 - Polar Graphs

10.4 - Polar Graphs on a TI Graphing Calculator

 

Thursday 6/20/2019 - Friday 6/21/2019 (Two Day Assignment) - NOT required for 2nd grade bump.

Professor Leonard Lectures Involving Polar Coordinates

Read: 10.2 Notes - Parametric Equations (in documents).

Read 10.2.

Self select interesting problems from 10.2.  Entirely optional.  You could also just watch a few 10.2 videos and/or jump ahead to 10.3.

Read 10.3 in your textbook all the way through.  You might have to read it a couple times.

Read 10.3 Notes - Parametric Equations and Calculus (in documents).

10.3 Part 1 (7, 11, 17, 23, 27, 32, 39, 41)

10.3 Part 2 (45, 47, 51, 55, 62, 67, 73, 74, 85, 86, 96)

Read 10.3 Supplemental Notes - Additional Examples (in documents).

10.2-10.5 MORE Complete Solutions - Selected Problems (in Calculus Book Solutions; if you want problems added to this document, just write them on the white board)

Tutorial Videos (Relaxing and watching some of these videos would be a perfectly relevant way to spend the day; headphones are available up front):

10.2 - Eliminating the Parameter

10.2 - Graphing Parametric Equations

10.2 - Parameterizing a Curve

10.2 Supplemental - Center Radius Form of a Circle

10.2 Supplemental - Completing the Square to Find the Equation of a Circle in Center Radius Form

10.2 Supplemental - Center Radii Form of an Ellipse

10.2 Supplemental - Center Radii Form of an Ellipse Derivation

10.2 Supplemental - Completing the Square to Find the Equation of an Ellipse in Center Radii Form

10.3 - Calculus in Parametric Coordinates

10.3 - Concavity with Parametric Coordinates

10.3 - Arc Length for Parametric Curves

10.3 - Surface Area for a Revolution in Parametric Coordinates

 

Wednesday 6/19/2019 - Mr. Harp will be out of the building Wednesday.

Read the rest of 8.7.

8.7 Part 2 (45, 49, 53, 57, 61, 67-70, 86, 88).

8.7 Notes - Part 2 - Other Indeterminate Forms (in documents)

8.7 MORE Complete Solutions - Selected BC Problems (in Calculus Book Solutions; let me know if you want any other problems added)

Tutorial Videos:

8.7 - L'Hopital's Rule with Exponential Indeterminate Forms

8.7 Full Lecture with Professor Leonard

 

Monday 6/17/2019 - Tuesday 6/18/2019 (Last assignment required for the additional grade bump for 10th/11th graders!)

8.4 Bellwork (in documents)

Read 8.4 and/or watch 8.4 - Full Lecture with Professor Leonard.

8.4 (1-51 (e.o.o.), 67, 69, 71, 81, 87).

8.4 Notes - Trigonometric Substitution (in documents) // Video to go with the powerpoint!

Tutorial Videos:

8.4 - Trigonometric Substitution

8.4 - Trigonometric Substitution - Full Lecture

8.4 - Specific Video 1 - Quick introduction to the topic with an expectation that students explore the topic further on their own as they work through homework.

8.4 - Specific Video 2 - More in depth introduction to the topic with detailed examples.

8.4 - Specific Video 3 - (Follow up to 8.4 - Specific Video 2)

8.4 - Full Lecture with Professor Leonard

 

Thursday 6/13/2019 - Friday 6/14/2019

8.3 Bellwork & Trig Cheat Sheet (in documents or click link; feel free to request a paper copy!)

Read 8.3 and/or watch 8.3 - Full Lecture with Professor Leonard.

Don’t just skim example problems any more.

Aim to be able to completely solve all of the examples within 2-3 days of an assigned reading.

8.3 (6, 7, 11, 29, 33, 37, 69).

Try to get by just with the answers in the back of the book!

Use only if all other resources (textbook examples, other students, youtube, googled examples, etc.completely fail you8.3 MORE Complete Solutions (in Calculus Book Solutions)

8.3 Bellwork - Day 2 (in documents or click link)

8.3 Notes - Trigonometric Integrals (in documents)

Tutorial Videos: 

8.3 - Trigonometric Integrals / 8.3 - Trigonometric Integrals - LONG

8.3 - Full Lecture with Professor Leonard

 

Tuesday 6/11/2019 – Wednesday 6/12/2019

Read 8.8 and/or watch 8.8 - Full Lecture with Professor Leonard.
8.8 (9-47(odd), 55-58, 63, 67, 71-74, 75-81(odd)) - Don't forget your limit notation!  Failure to use proper limit notation on an improper integral is an automatic point deduction on the AP Calculus BC Exam.

8.8 Notes Part 1 - Improper Integrals (in documents)

8.8 Notes Part 2 - Improper Integrals (in documents)

Tutorial Videos:

8.8 - Improper Integrals

8.8 - Improper Integrals - Lecture Length

4.2-4.3 - Sigma (Summation) Notation - Basic

4.3 - Riemann Sum Connection to Definite Integrals

If you read 4.2, read 4.3, and watch some of those videos, you can get a basic idea of the connection between definite integrals and infinite sums.  All definite integrals can be re-written as sums...but Liebniz saved you from writing every definite integral in summation notation.

8.8 - Full Lecture with Professor Leonard

 

Friday 6/7/2019 – Monday 6/10/2019 (Last assignment required for the additional grade bump for 12th graders!)

Optional Reading: What do you wish someone had told you before college? // Youtube Versions

Optional ReadingMistakes Freshmen Make // Youtube Versions

Optional Reading: How to get your first internship during college // Youtube Versions

Optional ReadingWhat do you wish someone had told you about applying to college?

What do colleges want to see in your essays?

What DON’T colleges want to see in your essays?

Optional Watching: Student Loans Explained

Optional ReadingThings I wish I knew about UW (before I went to UW).

Or start your SAT Exam Preparation now with the goal to crush the SAT in the fall. 

Suggested Assignment - 8.5:

8.5 Bellwork - Day 1 (in documents)

Correct with: 8.5 Bellwork - Day 1 - Solutions (in documents)

Read 8.5 and/or watch 8.5 - Full Lecture with Professor Leonard.
8.5 (7, 13, 15, 19, 23, 24, 30, 35, 41, 59).

8.5 Notes - Integration by Partial Fractions (in documents)

8.5 Supplemental Notes - Solving Systems of Equations Using Matrices With the Ti-83 or TI-84 (in documents)

Tutorial Videos:

8.5 - Easy - Partial Fractions with Linear Factors (this is all you need for the AP exam!)

8.5 - Partial Fractions

8.5 – Partial Fractions using the Heaviside Method

8.5 - Partial Fractions - FULL LECTURES

8.5 Supplemental - Solving Systems of Equations Using RREF

8.5 - Full Lecture with Professor Leonard

 

Wednesday 6/5/2019 – Thursday 6/6/2019

Read 8.2 and/or watch 8.2 - Full Lecture with Professor Leonard.

I suggest you work through AND annotate Example 6 from 8.2 Notes - Integration By Parts (in documents; slide 9 and slide 10) in your notes BEFORE you try the homework assignment below!

8.2 (15, 16, 19, 23, 29, 32, 35, 53, 63, 97)

8.2 Notes - Integration By Parts (in documents)

Tutorial Videos:

8.2 - Integration by Parts - Basic

8.2 - Integration by Parts - General

8.2 - Integration by Parts - Tabular Method - A shortcut for certain Integration by Parts problems!

8.2 - Solving for the Unknown Integral - Common University exam topic!

8.2 - Full Lecture with Professor Leonard

 

Monday 6/3/2019 – Tuesday 6/4/2019 - SENIORS: TURN IN YOUR BOOKS ASAP TO AVOID A MASSIVE FINE!

Read 8.1.
8.1 (9, 10, 13, 21, 24, 26, 34, 37, 39, 41, 44, 49, 63, 75)

8.1 Basic Integration Rules - Examples Handout (in documents)

8.1 Notes - Basic Integration Rules (in documents)

OptionalVideo Series that might help you develop a visual/geometric understanding of calculus.

If you want, you can watch a few hours of the video series in place of the 8.1 assignment.  Just write down a couple sentences during each episode vaguely connected to each episode.

Tutorial Videos:

8.1 - Long Division Before Integrating

8.1 - Completing the Square Before Integrating

8.1 Supplemental - Completing the square when a is not equal to 1

 

Wednesday 5/29/2019 - Friday 5/31/2019 - Senior books are due back June 3rd!  Turn them into the librarian.

Read 7.6.  Fill in the 7.6 Guided Notes (in documents; feel free to request a paper copy!)

Correct with: 7.6 Guided Notes - Filled in Version (in documents)

7.6 (1, 3, 7, 13, 17, 25, 29, 33, 35, 39, 43).

7.6 is covered during a typical 2nd quarter calculus class at the University level.

7.6 Notes - Center of Mass (in documents; notation is inconsistent in this document as it was cobbled together from various powerpoints; for your college studies, use whatever notation your professor does!) // Video to go with the powerpoint!

7.7 is SOMETIMES covered during a typical 2nd quarter calculus class at the University level.  UW removed 7.7 from Math 125 relatively recently.

Optional: Read 7.7. 7.7 (1, 7, 11, 21, 23, 27).

7.7 Notes  - Fluid Forces (in documents) // Video to go with the powerpoint!

Tutorial Videos:

Greg Kelly's Calculus Website

7.6 - Calculating Centroids

7.6 - Calculating Centers of Mass (slightly different search results)

7.6 Pre - Simpson's Rule

 

Tuesday 5/28/2019

7.5 UW Quiz (in documents; answers on 4th page)

Perform detailed quiz corrections using: 7.5 UW Quiz - Detailed Solutions (in documents)

 

Friday 5/24/2019

7.5 Quiz (in documents)

Correct with: 7.5 Quiz Solution Video

Option 17.5 Part 2 (27, 30, 38, 39, 41)

Option 2: Self-select interesting problems from 7.5.

Option 3: Hunt down the work problems on the UW Math 125 Final Exams and attempt those instead: Math 125 Final Exam Page (just open a Final Exam and control>f>work to find the work problem).

Tutorial Videos:

7.5 - Work Integral - Hemispherical Tank

7.5 - Work Integrals - Full Lecture

 

Thursday 5/23/2019

7.5 - Many Full Lectures

7.5 Notes - Day 1 (in documents) // Video to go with the powerpoint!

Read 7.5.

7.5 Part 1 (5, 7, 11-23(odd))

Correct with: 7.5 Complete Solutions (in Calculus Book Solutions)

Stuck?  Access: 7.5 MORE Complete Solutions - Selected Problems (in Calculus Book Solutions; just let me know if you want a specific problem added)

Tutorial Videos:

7.5 - Work Integrals - Springs

7.5 - Work Integrals - Pumping Liquids

7.5 - Hooke's Law

7.5 - Many Full Lectures

 

Tuesday 5/21/2019 – Wednesday 5/22/2019

7.4 - Full Lecture w/ Professor Leonard / Other (Long) Videos / Other Lectures

Tuesday Bellwork: 7.4 Bellwork - Day 1 (in documents)

Wednesday Bellwork: 7.4 Bellwork - Day 2 (in documents)

7.4 Notes - Arc Length (in documents) // Video to go with the powerpoint!

7.4 Notes - Surface Area (in documents) // Video to go with the powerpoint!

Read 7.4.

7.4 (3, 7, 11, 19, 23, 32, 34, 37, 43, 47, 57)

Correct with: 7.4 Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

7.4 - Arc Length / 7.4 - Full Lecture w/ Professor Leonard / Other (Long) Videos / Other Lectures

7.4 - Surface Area of a Volume of Revolution

 

Monday 5/20/2019

7.3 Bellwork - Day 2 (in documents)

Correct with: 7.3 Bellwork Day 2 – Solutions (in documents)

Chapter 7 Review, Pages 515-516 (2 probs from 1-10; 11-17 odd; 22, 23, 25, 29)

Chapter 7 Review Complete Solutions (in Calculus Book Solutions)

and/or

Revisit the 2019AB Free Response Questions (just pick 3)

Correct with: 2019 AB-BC FRQs - Unverified Draft of Solutions (in documents or click link)

Video Solutions:

FRQ #1 / FRQ #2 / FRQ #3 / FRQ #4 / FRQ #5 / FRQ #6

 

AB Homework Check - Thursday 5/16/2019

1) Final Exam Detailed Corrections

2) Mock Exam #2 + Score (+__/108) + Detailed Corrections

3) 2018AB FRQ + Score (+__/54) Detailed Corrections

4) 028AB - New FRQs 2016 (#1-#4 are REQUIRED)

5) 024AB – Extra Tough Mock FRQ (#1-#4 are REQUIRED)

6) 2016AB - Exam 2 MCQs + Score (+__/45) + Detailed Corrections

 

Thursday 5/16/2019 - Friday 5/17/219 (Two Day Assignment)

7.3 - Full Lecture w/ Professor Leonard / Other (Long) Videos / Other Lectures

Read 7.3.

7.3 (3, 7, 13, 23, 25, 29, 47)

Correct with: 7.3 Complete Solutions (in Calculus Book Solutions)

Stuck?  Access: 7.3 MORE Complete Solutions - Selected Problems Only (in Calculus Book Solutions; let me know if you want a problem added)

7.3 Notes - The Shell Method (in documents) // Video go with the powerpoint!

Tutorial Videos and Calculus Applets (Warning: the applets may be blocked on your school computers, so you would have to use your home computer to access them):

7.3 - Shell Method Gallery

7.3 – Finding Volume Using the Shell Method - VISUAL AIDS

7.3 - Finding Volume Using The Shell Method

7.3 - Volume by Shells Applets

7.3 - Video Demonstrating One Specific Applet's Use

7.3 - Full Lecture w/ Professor Leonard / Other (Long) Videos / Other Lectures

 

Wednesday 5/15/2019

Ice cream day! 

 

Tuesday 5/14/2019

AP Exam day.  Get that easy money!

 

Monday 5/13/2019 - Good luck on your last week of AP Exams!

20 Minute AB Calculus Summary Video - All of Calculus in 20 Minutes!

Confidence Builder MCQs2003AB Exam (2003AB MCQ Solutions Links: Link 1  / Link 2)

More Confidence Builder MCQs2012AB Exam (2012AB MCQ Solutions Link)

Suggested Classwork

029AB - NEW MCQs (secure copies available to use in classroom)

Correct with: 029AB - Detailed Solutions (in documents)

027AB - Secure FRQs from the 2016AB Exam #2 (secure copies available to use in classroom)

Correct with: 027AB – Solutions & Scoring Rubrics (in documents)

Suggested Homework:

Suggestions for today/tonight: 2-3 hours of light review.

Work through (if you didn't earlier): AP - Day Before Exam (in documents)

Read through (if you didn't earlier): AP Final Day (in documents; includes the directions you get on the real test)

Work through (if you didn't earlier): After School Review - Rate and Application FRQ Problems (in documents; let me know if you want a paper copy and I will get you a copy printed after school) / Application FRQs on the AP Exam - Part 1 FRQ Topic: Applications

Read: AB Cheat Sheet #1 - Condensed (in documents and distributed in class earlier this year; do you have the guaranteed formulas memorized?)
Mentally walk yourself through a AB Multiple Choice Exam (or two).
Mentally walk yourself through the last few FRQ’s (2018AB2017AB, 2016AB, …).
Take a look at the AB FRQ Problem Index Tab.  Be ready to CRUSH any and all of those FRQ topics!

#1 AP Exam Tip: Sleep at least 6.5 hours. Preferably 7.5+. Shut the books by 7pm and shut-off the phone by 8pm.
#2 AP Exam Tip: Eat a balanced breakfast (carbs/protein), pack a carby snack, and bring a bottle of water.
#3 AP Exam Tip: Pee at 7:30 (whether you need to or not).

 

 

Saturday 5/11/2019 – Sunday 5/12/2019

Want MORE FRQ practice?

Access: 022AB - Mock FRQ (distributed in class to interested students and in documents)

Correct with: 022AB - Mock FRQ - Complete Solutions

and/or

Access: 2014AB FRQ (distributed in class and in documents)

Correct with: 2014 AB FRQ - Minimum Work Kid (MWK) Solution

Videos: 2014 AB FRQ #1 / 2014 AB FRQ #2 / 2014 AB FRQ #3 / 2014 AB FRQ #4 / 2014 AB FRQ #5 / 2014 AB FRQ #6

Want even MORE MCQ practice?  

Access: AB Practice Test Depot.  Even older exams are great for conceptual review (and confidence building).

Want even MORE MCQ practice???  (Warning: many challenging problems, including lots of Related Rates!)

Access: 030AB - Other MCQs (in documents).

 

Friday 5/10/2019

Classwork: 2016 Exam #2 (Old Format) MCQs Q&A / 026AB - Salty FRQs Q&A

Various Options for Homework:

1) Area and Volume – Hard Mode (distributed in class and in documents)

Correct with: Area and Volume - Hard Mode - Solutions (in documents)

2) 020AB – 2nd to Last Day, Targeted Review (distributed in class and in documents)

Correct with: 020AB - Complete Solutions (in documents)

3) Work through: AP - Day Before Exam (in documents) 

4) Read through: AP Final Day (in documents; includes the directions you get on the real test)

5) Work through: AP AB Obscure Test Knowledge - Bellwork (in documents) / Correct with: AP AB Obscure Test Knowledge (in documents; some kid demanded I include a shadow problem; blame them!)

6) Watch and Chill Out20 Minute AB Calculus Summary VideoPart 1 / Part 2  (If you actually did 1)-5), you totally deserve a break.  Look at that guy go.  I know a few students who just chilled out and watched those two videos 3+ times each the day before the exam.)

7) 025AB - The Weird Stuff (distributed in class) / Correct with: 025AB - The Weird Stuff - Scoring Rubrics (in documents) or the AB FRQ Website

8) 2nd to Last day - Bellwork (in documents; walks you through some of 025AB - The Weird Stuff)

The best preparation you can do at this point is probably FRQ and Multiple Choice Practice: AB FRQ Problem Index / AB FRQ Website / AB Practice Test Depot 

Optional Review Materials from Mrs. McCleary's now defunct website (let me know if you want a printed copy of one of the documents):

BIG VOLUME REVIEW (in documents) / BIG VOLUME REVIEW - Solutions (in documents)

Skills Review #2 (in documents) / Skills Review #2 - Complete Solutions (in documents)

Skills Review #3 (in documents) / Skills Review #3 - Complete Solutions (in documents)

 

Wednesday 5/8/2019 - Thursday 5/9/2019

OptionalThursday's After School Tutorial Materials: 

Related Rates FRQs (Video Solutions: 2008AB FRQ #3 / 2003AB FRQ #5 / 2002 Form B FRQ #6 / 2002 FRQ #5)

AP Exam Review - The Big Theorems / Expanded SolutionsAP Exam Review - The Big Theorems - Expanded Multiple Choice Solutions

AP Exam Review - Just Mean Value Theorem 

 

Classwork2016AB - Exam 2 MCQs (secure copies and answer keys distributed to all students taking the AP Exam for use in the classroom) + Score Detailed Corrections / 026AB - MCQ - Detailed Solutions REQUIRED Assignment

Homework:

026AB - Salty FRQs - Part 1 - Calculator Allowed (distributed in class and in documents)

026AB – Salty FRQs - Part 2 - No Calculator (distributed in class and in documents)

Score and correct using: 026AB - FRQ - Scoring Rubrics & Detailed Solutions (in documents)

 

Tuesday 5/7/2019

Optional After School MaterialsAfter School Tutorial – Implicit Differentiation FRQs / Solutions / FRQ Topic: Implicit Differentiation

Classwork031AB... / Solutions AB Share and Q&A

Homework024AB – Extra Tough Mock FRQ (distributed in class and in documents; WARNING - this was made intentionally harder than the actual FRQ you will take on May 14th to prepare you for more obscure topics; you NEED to do this assignment if you want to be prepared for anything College Board could throw at you May 14th.)  #1-#4 are REQUIRED#5-#6 are RECOMMENDED.

Correct with: 024AB – Extra Tough Mock FRQ - Solutions and Scoring Rubric (in documents)

My Big Review Packet #1 (distributed in class and in documents; this is what a school that averaged 4.6 on the AP exam one year did RIGHT before the test; GREAT PREP assignment)

Correct with: My Big Review Packet #1 - Complete Solutions (in documents)

 

Monday 5/6/2019 - Good luck on your AP Exams!

Optional: BIG VOLUME REVIEW / BIG VOLUME REVIEW - Solutions / Graphical Aids

Classwork2018 AB FRQ AB Share and Q&A

Homework: 028AB - New FRQs 2016 (distributed in class and in documents; FRQ#1-FRQ#4 are REQUIRED) / 028AB – Scoring Rubrics (in documents)

Want a 5?  FRQs until your eyes bleed time.  Working through every MCQ you can get your hands on helps as well (AB Practice Test Depot; if a link is down, I have secure copies to use in the classroom)!

 

Thursday 5/2/2019 - Friday 5/3/2019

OptionalThursday's After School Tutorial - FRQ Topic #7 – Piecewise Functions

Optional: Friday's After School Review – Rate and Application FRQ Problems / Solutions

Homework031AB - AB Practice Problems from the Revised Course Description (distributed in class and in documents) / Score & Perform Detailed Corrections with: 031AB - Answer Key & Detailed Solutions (in documents).

Suggested Extra MCQ Practice: 

2014AB MCQs + Score + Detailed Corrections (exams available before or after school to use in the classroom or print pages 18-66) / 2014AB MCQ Solutions

and/or

2015AB MCQs + Score Detailed Corrections (exams available before or after school to use in the classroom) /  2015AB MCQ Solutions

 

Monday 4/29/2019 – Wednesday 5/1/2019 

Optional: Monday's After School Tutorial – FRQ Graph Problems / Solutions 

Optional: Tuesday's After School Tutorial – Table Problems and Separable Differential Equation Problems

This Week's Main Assignments:

Classwork:

Mock Exam #2 MCQs Score Detailed Corrections (secure exams & secure solutions cannot leave the classroom; this is a REQUIRED assignment for students taking the AP Exam).  

Homework:

1) Mock Exam #2 FRQs + Score + Detailed Corrections (distributed during class; this is a REQUIRED assignment for students taking the AP Exam). Aim to finish this by Friday so we can have our AB Share and Test Review.

Mock Exam #2 FRQs - Scoring Rubric & Detailed Solutions (in documents or click link)

2) 2018AB FRQ + Score Detailed Corrections (distributed in class and in documents; this is a REQUIRED assignment for students taking the AP Exam).  Aim to finish this by next Monday so we can have our AB Share and Test Review.

2018AB FRQ RWK Solution / Scoring Rubric / Tutorial Videos: 2018AB FRQ#1 / 2018AB FRQ#2 / 2018AB FRQ#3 / 2018AB FRQ#4 / 2018AB FRQ#5 / 2018AB FRQ#6 

I know some students will not be able to get all three of these assignments done this week.  Do your best.

 

AB Homework Check - Friday 4/26/2019

1) 2016AB FRQ + Score (+__/54) + Detailed Corrections

2) 015AB - AB Practice Problems from the College Board + Score (+__/24) + Detailed Corrections

 

Friday 4/26/2019

Classwork: Final Exam FRQ AB Share and Q&A

OptionalAfter School Review – Rate and Application FRQ Problems / Solutions

Additional Optional FRQ Practice:

2014AB FRQ (distributed in class Friday and in documents)

Score and perform detailed test corrections using 2014 AB FRQ - Minimum Work Kid (MWK) Solution and the scoring rubrics and sample responses on the AB FRQ Website  as normal.

Supplement with video solutions as needed: 2014 AB FRQ #1 / 2014 AB FRQ #2 / 2014 AB FRQ #3 / 2014 AB FRQ #4 / 2014 AB FRQ #5 / 2014 AB FRQ #6

 

Tuesday 4/23/2019 – Thursday 4/25/2019

Classwork:

Final Exam FRQ Detailed Corrections (secure exams & secure solutions cannot leave the classroom; REQUIRED assignment).  Aim to finish by Friday so we can have our FRQ AB Share and Test Review.

Final Exam MCQ Detailed Corrections (secure exams & secure solutions cannot leave the classroomREQUIRED assignment).  Aim to finish by Monday so we can have our MCQ AB Share and Test Review.

Homework:

1) 006AB AP Preparedness Quiz #1 – Tangent lines, integration, applications Ch.4-Ch.6 (distributed in class last Friday and in documents)

Correct with: 006AB AP Preparedness Quiz #1 - SOLUTIONS (in documents)

2) 013AB – Motion Review AND Basic Integration Review (distributed in class last Friday and in documents; solutions included)

3) 017AB - AP Preparedness Quiz #2 – Precalc, Limits, Continuity and Piecewise FRQ problems (distributed in class last Friday and in documents)

Correct with: 017AB - Filled in Version (in documents)

4)  019AB AP Preparedness Quiz #3 – Theorems, derivatives, optimization, and related rates (distributed in class last Friday and in documents)
Correct with: 019AB AP Preparedness Quiz #3 – Complete Solutions (in documents)

 

Monday 4/22/2019 – Good luck on the SAT tomorrow 11th graders!

In class: Final Exam Part 4 - No Calculator MCQs (If absent, you can make this up Tuesday before school, after school, or during class OR Wednesday before school; you will have no other options for making up any portion of the exam; the Learning Lab is CLOSED Tuesday!)

 

Friday 4/19/2019

In class: Final Exam Part 3 - Calculator Allowed MCQs (if absent, you can make this up Monday, before or after school; Running Start students can also make this up in the Learning Lab)

Be ready for possibly the hardest part of the entire exam, the No Calculator MCQs, on Monday!

I would suggest you work through as many No Calculator MCQs as possible over the weekend.

I also distributed almost all of the handouts for NEXT week: 

006AB... / Solutions // 013AB... // 017AB... / Solutions // 019AB... /  Solutions.

 

Thursday 4/18/2019

In class: Final Exam Part 2 - No Calculator FRQs (if absent, you can make this up Friday, before or after school; Running Start students can also make this up in the Learning Lab)

Be ready for the Calculator Allowed MCQs on Friday!

 

Wednesday 4/17/2019

In class: Final Exam Part 1 - Calculator Allowed FRQs (if absent, you can make this up Thursday-Friday, before or after school; Running Start students can also make this up in the Learning Lab)

Be ready for the No Calculator FRQs on Thursday.

Specifically be ready for an Area & Volume FRQ and a Differential Equation FRQ

Many of the Differential Equation FRQs in recent years have involved a real world context such as the temperature of a potato, the weight of a baby bird, the weight of solid waste in a landfill, etc.

Only have 20 minutes for Final Exam review tonight? 

Then watch: ALL OF CALCULUS AB IN 20 MINUTES!!!

 

Tuesday 4/16/2019 - Be ready for the Calculator Allowed FRQs on Wednesday.

The mostly likely Calculator Allowed FRQ topic is Applications (esp. Rate In / Rate Out)!

The in class 6.1-7.2 Retest will be baked into the No Calculator FRQ portion of your Final Exam on Thursday.

During class, we will AB share and review your 6.1-7.2 Test + Detailed Corrections / Solutions

Tutorial Videos to go with the 6.1-7.2 Test2013 AB FRQ #5 / 2012 AB FRQ #2

 

Get those 2016AB FRQs attempted, scored, and corrected before Wednesday/Thursday!

(MWK RWK Solutions Official College Board Scoring Rubric).

Tutorial videos to go with the 2016 AB FRQ2016 AB FRQ #1 / 2016 AB FRQ #2 / 2016 AB FRQ #3 / 2016 AB FRQ #4 / 2016 AB FRQ #5 / 2016 AB FRQ #6

 

Only have 20 minutes for Final Exam review tonight? 

Then watch: ALL OF CALCULUS AB IN 20 MINUTES!!!

 

Main Possible Topics on the FRQ Final Exam:

ApplicationsGraphTableDifferential EquationParticle Motion, Area & VolumeRelated Rates, and Other Rarer Possibilities, including Implicit Differentiation.  

 

AB Homework Check - Monday 4/15/2019

1) 7.2 Part 3 (71, 72, 74)

2) 005 AB Area and Volume AP Packet - Must be 100% complete for credit.  No excuses.

3) 8.7 Part 1 (5-43(odd), 83-85, 87) - Guaranteed AP Topic!

4) Read: AB Cheat Sheet #1 - Condensed

5) 012AB – Final Review Part 1

6) 4.3 (4, 7, 9-12) & 4.3 Handout

7) 6.1-7.2 Test Detailed Corrections

8) Spring Break Assignment + Score:+__/108 + Detailed Corrections

 

Monday 4/15/2019

In class: Spring Break Practice Exam AB Share and Q&A / MCQ MORE Complete Solutions / 2017AB FRQ RWK Solutions

Homework:

1) (to help get you ready for the FRQ portions of your Final Exam/AP Exam)

2016AB FRQ (distributed in class and in documents)

Score (+__/54) & perform detailed test corrections using: (MWK RWK Solutions Official College Board Scoring Rubric).

2) (to help get your ready for the MCQ portions of your Final Exam/AP Exam)

015AB Answer Sheet (distributed in class and in documents)

015AB - AB Practice Problems from the College Board (in documents)

Score (+__/24) & perform detailed test corrections using: 015AB-Detailed Solutions (in documents)

 

Spring Break Assignment - Saturday 4/6/2019 to Sunday 4/14/2019

AB Spring Break Practice Exam - INSTRUCTIONS (distributed in class and in documents)

Please get the MCQs printed out on paper (if at all possible) before you try them!

The Covington Library and Maple Valley Library provide free printing.  

The actual AP Exam is on paper, so it is best to practice on paper!

Use the following to assist you in performing detailed test corrections for the 2017AB FRQ (distributed in class and in documents):

MWK Solution Including Rubrics (always useful for corrections) / Official Scoring Rubric / Chief Reader Report (to get inside College Board's collective head) / Scoring Statistics

FRQ Video Solutions:

2017AB FRQ#1 / 2017AB FRQ#2 / 2017AB FRQ#3 / 2017AB FRQ#4 / 2017AB FRQ#5 / 2017AB FRQ#6 

 

Friday 4/5/2019

1) 6.1-7.2 Test Detailed Corrections (tests returned in class; solutions emailed to you) - We will have our 6.1-7.2 Test AB share and Q&A on Tuesday, 4/16/2019.

2) 4.3 Handout (distributed in class and in documents; come back and try these two AP problems after you finish tonight's homework)

Read 4.3.  Re-read 4.2 if necessary.

4.3 (4, 7, 9-12)

Correct with: 4.3 MORE Complete Solutions (in Calculus Book Solutions)

Optional: 4.3 Notes - Definite Integrals as Infinite Sums (in documents)

Tutorial Videos:

4.2-4.3 - Sigma (Summation) Notation - Basic

4.3 - Riemann Sum Connection to Definite Integrals

4.3 Full Lecture with Professor Leonard

If you read 4.2, read 4.3, and watch some of those 4.2-4.3 videos linked above, you can get a basic idea of the connection between definite integrals and infinite sums.  All definite integrals can be re-written as sums...but Liebniz saved you from writing definite integrals in summation notation.

You will likely just get a single MCQ covering this topic on your AP Exam May 14th...but there is an outside chance you get an entire 9 point FRQ on this topic instead.

 

Thursday 4/4/2019

6.1-7.2 Test (administered during class)

Homework:

Assignment #1: Read: AB Cheat Sheet #1 - Condensed (distributed in class and in documents)

Having everything on there memorized is a good start for the AP Exam!

Assignment #2:  012AB – Final Review Part 1 (distributed in class and in documents; take some time reading the last page)

Correct with: 012AB – Final Review Part 1 – Solutions (in documents)

 

Wednesday 4/3/2019

Read pages 569-572 (stop at 572!).

8.7 Notes - L'Hopital's Rule - Part 1 (in documents)

8.7 Part 1 (5-43(odd), 83-85, 87) - Guaranteed AP Topic!

Be sure to show L’Hopital’s Rule applies first (by showing the limit was equal to an indeterminate quotient)!

Correct with: 8.7 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

More OPTIONAL practice: 014AB - Relative Rates & End Behavior Models (in documents)

Tutorial Videos:

8.7 - L'Hopital's Rule - Super Basic Introduction - All you need for the AP test!

8.7 - L'Hopital's Rule (Only worry about 0/0, ∞/∞, and -∞/∞ for now)

8.7 - L'Hopital's Rule - Full Lectures (Only worry about 0/0, ∞/∞, and -∞/∞ for now)

8.7 Full Lecture with Professor Leonard

8.7 - L'Hopital's Rule - Intuition (for the intensely curious student)

 

AB Homework Check - Monday 4/1/2019

1) 7.1 Part 1 (3, 6, 7, 17-18, 23-24, 29, 31, 33, 39, 45, 47, 53, 57)

2) 7.1 Part 2 (35, 49, 63, 65, 77, 78, 81)

3) 7.1 Part 3 (41, 42, 51, 55, 83, 86, 97)

4) 7.2 Part 1 (1, 3, 7, 9, 11(b/d),12(a/c), 16, 19, 22, 25) 

5) 7.2 Part 2 (15, 21, 29-31, 33, 59, 62, 63, 65, 69)

 

Monday 4/1/2019 – Tuesday 4/2/2019 (Two Day Assignment

We will have our 6.1-7.2 Test on Thursday.  6.1-7.2 Test Preparation Materials.

Work through: 7.2 Notes - Day 3 - Square, Rectangular, and Triangular Slices! (distributed in class and in documents)

Correct with: 7.2 Notes - Day 3 - Square, Rectangular, and Triangular Slices! - Solutions (in documents)

Confused?  Head right down to the tutorial video links below.

7.2 Part 3 (71, 72, 74)

&

005 AB Area and Volume AP Packet (distributed in class and in documents) - Must be 100% complete for credit.  No excuses.

Correct with: 005AB Area and Volume AP Packet - Detailed Solutions and Scoring Rubrics (in documents)

Tutorial Videos:

7.2 - Finding Volume when the Cross-Sectional Shape is a Square

7.2 - Finding Volume when the Cross-Sectional Shape is an EQUILATERAL Triangle

7.2 - Finding Volume when the Cross-Sectional Shape is a Triangle (or other shape)

7.2 - Finding Volume when the Cross-Sectional Shape is Known (Square, Triangle, Rectangle, etc.)

005AB Video Solutions are Hyper-Linked in the Solutions Document

 

Friday 3/29/2019 - Absent or having difficulty?  7.2 - Quick Examples with Patrick JMT: #1 / #2 / #3 / #4 / #5

7.2 Bellwork - Day 2 (distributed in class and in documents)

Correct and score your bellwork using: 7.2 Notes Day 2 - Volumes by Slicing (Washers) (in documents)

7.2 Part 2 (15, 21, 29-31, 33, 59, 62, 63, 65, 69)

Correct with 7.2 MORE Complete Solutions – Part 2 (in Calculus Book Solutions) and/or 7.2 Complete Solutions (in Calculus Book Solutions) and/or calcchat.com.

Optional Exploration: Super Fun Washer Applet

Tutorial Videos:

7.2 - Volume by Disks

7.2 - Volume by Washers

7.2 - Volume by Disks and Washers - Full Lectures

7.2 Full Lecture with Professor Leonard

Applications of Integration Section of Khan Academy AP Calculus AB Website, Including 7.1-7.2 Material

 

Thursday 3/28/2019

7.2 Notes - Volumes by Slicing (Disks and Washers) (in documents)

Read 7.2.  If the pictures don't make sense to you, this has a bit clearer diagrams.

Can you picture the rectangular elements rotated through space to create a disk volume element and/or washer volume element?  Can you see the difference in rotating a horizontal element (about a horizontal axis) and rotating a vertical element (about a vertical axis)?  If not, consider looking for some visualization tools: Visualizing Disk Method Visualizing Washer Method / Disk and Washer Method Animations.

7.2 Part 1 (1, 3, 7, 9*, 11(b/d),12(a/c), 16, 19, 22, 25) - *Today's lecture only covers 1)-9).  11)-25) involve the Washer Method.

7.2 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

Tutorial Videos:

7.2 - Good Starting Video for Visualizing the Disk Method

If you want to play with the CDF file, you need to download the CDF player from Wolfram Alpha.

7.2 - Quick Examples with Patrick JMT: #1 / #2 / #3 / #4 / #5

7.2 - Volume by Disks

7.2 - Volume by Washers

7.2 - Volume by Disks and Washers - Full Lectures

7.2 Full Lecture with Professor Leonard

Applications of Integration Section of Khan Academy AP Calculus AB Website, Including 7.1-7.2 Material

 

Wednesday 3/27/2019

003AB 7.1 Notes - Day 3 – The half full area problem (distributed in class and in documents; solutions begin on page 3)

7.1 Notes - Day 3 - The half full area problem (in documents)

7.1 Part 3 (41, 42, 51, 55, 83, 86, 97)

Correct with: 7.1 Complete Solutions (in Calc. Book. Sol.)

and/or 7.1 MORE Complete Solutions - Selected Problems Only (in Calc. Book. Sol.)

Tutorial Videos:

7.1 - Finding a Vertical Line that Splits a Region into Two Parts with Equal Areas - Basic

2012 AB FRQ #2, JUST Part(c) / Video Solutions - Finding a Horizontal Line that Splits a Region into Two Parts with Equal Areas

2014 AB FRQ #2, JUST Part(c) / Video Solutions- Finding a Vertical Line that Splits a Region into Two Parts with Equal Areas

7.1 Full Lecture with Professor Leonard

 

Tuesday 3/26/2019

7.1 Notes Day 2 - Accumulation Functions AND Integrals as Net Change (in documents)

7.1 Part 2 (35, 49, 63, 65, 77, 78, 81)

Correct with: 7.1 MORE Complete Solutions - Selected Problems Only (in Calc. Book. Sol.)

and/or 7.1 Complete Solutions (in Calc. Book. Sol.)

Tutorial Videos:

7.1 - Accumulation Functions

7.1 - Application of Integration - Work Done by a Spring (not an AP topic!)

7.1 Full Lecture with Professor Leonard

4.2 Pre - Summation Notation / 4.2-4.3 - Definite Integral Using Summation Notation /  Read 4.2 & 4.3 again.

 

AB Homework Check - Monday 3/25/2019

1) 6.1 (1, 2, 3, 5, 13, 23, 24, 38)

2) 5.7 Part 2 (39-40, 43)

3) 6.2 – Separable Differential Equations Packet #2 – AP Problems

4) 6.2 Part 2 (22-25, 27, 31-32, 57-58, 64, 71, 73)

5) 001AB Slope Fields Packet

6) Read through carefully and write down at least 2 things you found interesting from: AP Calc General Information (in documents or click link) 

7) Motion Exam Detailed Corrections

8) Application FRQ Problems on the AP Exam - Part 1 (including attempting, scoring, and performing detailed corrections 1+ problems from FRQ Topic 3: Applications)

9) Self select 2+ FRQs: FRQ Topic 4 - Motion Problems / FRQ Topic 3: Applications

 

Monday 3/25/2019 

002AB 7.1 Notes Day 1 - Area Between Two Curves (distributed in class and in documents)

002AB 7.1 Notes Day 1 - Area Between Two Curves - Filled in Version (in documents)

7.1 Notes - Areas Between Two Curves (in documents)

Read 7.1.  Comprehension check: Do you completely understand the examples?  Can you find a problem similar to each example in 7.1 and successfully complete each problem?  You want to get to that level with the reading/example problems before moving on to a college math class.

7.1 Part 1 (3, 6, 7, 17-18, 23-24, 29, 31, 33, 39, 45, 47, 53, 57)

Correct with: 7.1 MORE Complete Solutions - Selected Problems Only (in Calc. Book. Sol.)

and/or 7.1 Complete Solutions (in Calc. Book. Sol.)

Tutorial Videos:

7.1 Full Lecture with Professor Leonard

7.1 - Quick 10 Minute Patrick JMT Version

7.1 - Area Between Two Curves (integrating with respect to x)

7.1 - Area Between Two Curves (integrating with respect to y)

7.1 - Accumulation Functions

 

Friday 3/22/2019 - Motion Exam Review (MWK Solution / Scoring Rubric)

Based on your performance on the exam, self select 2+ FRQs to attempt, score (+__/9), and perform detailed test corrections for from:

FRQ Topic 4 - Motion Problems (click link)

and/or

FRQ Topic 3: Applications (click link) - You probably have AP exam calculator usage mastered when you can consistently score 7+/9 on Applications FRQ Problems!

The optional after school retest Monday will consist primarily of two Motion FRQs and one Application FRQ.  Expect some quick 5.5 & 5.6 problems as well.

Mastered both of these FRQ topics? Feel free to explore the AB FRQ Website / AB FRQ Problem Index instead for further challenges.

 

Thursday 3/21/2019

Application FRQ Problems on the AP Exam - Part 1 (distributed in class and in documents)

Work through, score, and perform detailed test corrections for as many Application FRQs as you feel is necessary: FRQ Topic 3: Applications (in documents or click link).

Did you get a chance to read through carefully and write down at least 2 things you found interesting from: AP Calc General Information (in documents or click link)?

Tutorial Videos (You can find the problems to go with the videos in FRQ Topic 3: Applications.)

2013 AB FRQ #1 / 2014 AB FRQ #1 2015 AB FRQ #1 / 2016 AB FRQ #1 (Noticing a pattern?  College Board likes to try to crush your spirit with the hardest FRQ straight away.  Don't let them!)

 

Wednesday 3/20/2019 - Khan Academy's AP Calculus AB Website is actually pretty great (even has sections for Slope Fields: Part 1 / Part 2).

1) If absent, read through: 6.1 Notes - Slope Fields (in documents)

2) Work through: 001AB Slope Fields Packet (distributed in class and in documents)

3) Correct with: 001AB Slope Fields Packet - Solutions (in documents)

4) Read through carefully and write down at least 2 things you found interesting from: AP Calc General Information (in documents or click link) 

5) Before you perform test corrections, read the following and marvel at Minimum Work Kid's Efficiency (Laziness): 

5.6 and Motion Exam Form A - Minimum Work Kid (distributed in class Monday and in documents or click link)

6) Perform detailed test corrections using: 5.6 and Motion Exam Form A - Detailed Solution and Scoring Rubric (in documents or click link)

If you prefer to work out your corrections on a blank copy of the exam, feel free to print: 5.5, 5.6, and Motion Exam - Blank Copy

7) (Optional) Play with: 6.1 - Slope Fields Link #1 / 6.1 - Slope Fields Link #2 / 6.1 - Slope Field Generators .  If you play enough with the applets to the point where you completely understand slope fields, feel free to skip some of the problems in the packet.

Tutorial Videos (Ignore all references to Euler's Method!  That is a BC Only topic.):

6.1 - Slope Fields

6.1 - Slope Fields - Long!

6.1+ - Differential Equation Lecture (goes beyond the AP Exam) w/ Professor Leonard

 

Tuesday 3/19/2019

6.2 Warmup - Exponential Growth (distributed in class and in documents)

Correct with: 6.2 Notes - Differential Equations - Growth and Decay (in documents)

Read 6.2.

6.2 Part 2 (22-25, 27, 31-32, 57-58, 64, 71, 73)

Correct with: 6.2 MORE Complete Solutions (in Calculus Book Solutions)

Finished early?  Start on detailed test corrections so we can have our test review on Friday!

Before you perform test corrections, read the following and marvel at Minimum Work Kid's Efficiency (Laziness): 

5.6 and Motion Exam Form A - Minimum Work Kid (distributed in class Monday and in documents)

Perform detailed test corrections using: 5.6 and Motion Exam Form A - Detailed Solution and Scoring Rubric (in documents or click the link)

Tutorial Videos:

6.2 - Exponential Growth and Decay with Calculus

 

AB Homework Check - Monday 3/18/2019

1) 5.5, 5.6 and Motion Applications Practice Test - Calculator + Score (+__/27) + Detailed Corrections

2) 5.5, 5.6, and Motion Applications Practice Test - Aftermath

3) Bellwork - FRQ Wednesday – The Squirrel

4) Getting you ready for the 5.6 & Motion Exam

5) 6.2 Part 1 (1-9 odd, 11-14, 17-21 odd)

 

Monday 3/18/2019 - One day, but three assignments.  Mmm…AP Prep. Season is upon us.

1) Read pages 406-407 and/or 6.1 Notes - Verifying Solutions of Differential Equations (in documents).

6.1 (1, 2, 3, 5, 13, 23, 24, 38) Verifying the solution of a differential equation is a near guaranteed final exam topic!

Correct with: 6.1 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

 

2) 5.7 Part 2 (39-40, 43). Complete those squares!

Correct with: 5.7 MORE Complete Solutions (in Calculus Book Solutions)

 

3) 6.2 – Separable Differential Equations Packet #2 – AP Problems (distributed in class and in documents)

You can find the Scoring Rubrics, Student Performance Q&A, Sample Responses, and Scoring Statistics for each problem from the packet on the College board AP AB website (the good one): http://apcentral.collegeboard.com/apc/members/exam/exam_information/232050.html

We are getting close to AP season, so bookmark that website!

 

4) Finished early?  Start on detailed test corrections so we can have our test review on Friday!

Before you perform test corrections, read the following and marvel at Minimum Work Kid's Efficiency (Laziness): 

5.6 and Motion Exam Form A - Minimum Work Kid (distributed in class Monday and in documents)

Perform detailed test corrections using: 5.6 and Motion Exam Form A - Detailed Solution and Scoring Rubric (in documents or click the link)

 

Tutorial Videos:

6.1 - Verifying Solutions to Differential Equations

2013 AB FRQ #6 / 2012 AB FRQ #5 / 2011 AB FRQ #5 / 2010 AB FRQ #6 / 2010 Form B AB FRQ #5

5.7 Pre - Completing the Square

5.7 - Arctan Integral Involving Completing the Square

5.7 - Arcsin Integral Involving Completing the Square

 

Friday 3/15/2019

6.2 – Separable Differential Equations Packet #1 (distributed in class and in documents)

Correct with: 6.2 – Separable Differential Equations Packet #1 – Complete Solutions (in documents)

6.2 Part 1 (1-9 odd, 11-14, 17-21 odd)

Correct with: 6.2 MORE Complete Solutions (in Calculus Book Solutions) instead.

6.3 Notes - Differential Equations - Separation of Variables - AB (in documents)

Tutorial Videos:

6.2/6.3 - Solving a Differential Equation by Separation of Variables

6.2 - Solving a Differential Equation by Separation of Variables - Exponential Growth

6.2 - Solving a Differential Equation by Separation of Variables - Long Videos

6.2+ - Differential Equation Lecture (goes beyond the AP Exam) w/ Professor Leonard

 

Thursday 3/14/2019

5.5, 5.6, and Motion Exam (administered during class; calculator allowed!)

No additional homework assignment today.

5.5, 5.6, and Motion Exam Study Guide / FRQ Topic: Motion Problems

 

Tuesday 3/12/2019 – Wednesday 3/13/2019 (Two Day Assignment)

Study for your 5.5, 5.6, and Motion Exam on Thursday!

1) 5.5, 5.6, and Motion Applications Practice Test - Aftermath (distributed in class and in documents)

Solutions are included for the first two pages; correct the squirrel portion with: Aftermath - Squirrel - Solutions (in documents).

2) Attempt: Bellwork - FRQ Wednesday – The Squirrel (distributed in class and in documents)

3) Score and perform corrections using: Sample Responses Q4 (take a look at 9 out of 9 Kid's work) / Video Solutions

4) Read: AP Notes - How to Justify (in documents) - WarningCollege Board does NOT accept tables of signs as full justification for ANYTHING, so neither can I on Thursday's Exam.

5) Work through: Getting you ready for the 5.6 & Motion Exam (distributed in class and in documents)

6) Correct with: Getting you ready for the 5.6 & Motion Exam - Detailed Solutions and Scoring Rubric (in documents)

7) Read and utilize: 5.5, 5.6, and Motion Exam Study Guide (in documents). 

8) Study for your 5.5, 5.6, and Motion Exam on Thursday, March 14th.

When in doubt, actively quiz yourself with actual AB Motion FRQs (click the link for convenient Motion FRQ Practice, including written and video solutions).

You also might want to work through some 5.5 & 5.6 Book Questions to make sure you have those new 5.5 & 5.6 formulas committed to memory.

 

AB Homework Check - Monday 3/11/2019

1) 4.1-5.4 Test - Part 2 Detailed Corrections

2) 4.1-5.4 Test - Part 2 Targeted Review

3) AP Curriculum Model - Calculus - Motion - Must be 100% complete for credit.

4) AP Practice - Motion Packet #1 and Detailed Corrections

 

Monday 3/11/2019

5.5, 5.6 and Motion Applications Practice Test - Calculator (distributed in class previously and in documents)

Score yourself (+__/27) and perform detailed test corrections using: 

5.5, 5.6, and Motion Applications Practice Test – Complete Solutions (in documents)

Want to see what the actual FRQs on this topic will look like?  Explore: FRQ Topic: Motion Problems at your leisure.

 

Thursday 3/7/2019 - Friday 3/8/2019 (Two Day Assignment

Friday will be an in class retest day!

AP Practice - Motion Packet #1 (distributed in class previously and in documents)

Perform detailed test corrections using: AP Practice - Motion Packet #1 - Complete Solutions (in documents; video solutions for some problems are hyperlinked)

Why detailed corrections?  Most of the packet contains actual AP FRQ's and it is time to begin the real preparation for the AP exam.  You should always perform detailed corrections for FRQ's to get ready for the real deal on May 14th.

This walks you through the first problem with the proper keystrokes for your calculator:

AP Practice – Motion Packet #1 – Calculator Tutorial for Problem #1 (in documents)

Want to see what the actual FRQs on this topic will look like?  Explore: FRQ Topic: Motion Problems at your leisure.

Tutorial Videos:

2011 AB FRQ #1 / 2012 AB FRQ #6 / 2011 AB Form B FRQ #5 / 2013 AB FRQ #2

Motion - Distance Traveled Integrals vs. Displacement Integrals (Net Change in Position Integrals)

Motion - Speeding Up vs. Slowing Down / Motion Problems - Particle Motion

Motion - AP Particle Motion Problems, especially Free Response Questions

 

Tuesday 3/5/2019 – Wednesday 3/6/2019 (Two Day Assignment

On Wednesday, we will have a Q&A for 4.1-5.4 Test - Part 2 / Solutions.

AP Curriculum Model - Calculus - Motion - Bellwork (in documents; slides 5-7 are just meant to give you an idea of what Motion FRQs have looked like on recent AP exams)

AP Curriculum Model - Calculus - Motion (distributed in class and in documents; must be 100% complete for credit)

Correct with: AP Curriculum Model - Calculus - Motion - SOLUTIONS (in documents)

Optional Exploration: FRQ Topic: Motion Problems

Tutorial Videos:

Motion - Distance Traveled Integrals vs. Displacement Integrals (Net Change in Position Integrals)

Motion - Speeding Up vs. Slowing Down

Motion Problems - Particle Motion

Motion - AP Particle Motion Problems, especially Free Response Questions

 

AB Homework Check - Monday 3/4/2019

1) 5.7 (6, 10, 13, 17, 21, 24, 29, 31, 35, 71)

2) 4.1-5.4 Test - Part 1 Detailed Corrections

3) 4.1-5.4 Test - Part 1 Targeted Review

 

Monday 3/4/2019 - 4.1-5.4 Test - Part 1 & Part 2 Review Day!

Perform 4.1-5.4 Test - Part 2 Detailed Corrections (exams returned during class)

using: 4.1-5.4 Test Form D - Part 2 - Solutions and Rubric (in documents)

4.1-5.4 Test Form D – Part 2 – Targeted Review (in documents)

Want a rematch? 4.1-5.4 Test Form D - Part 2 - Blank Copy (in documents or click the link)

 

Thursday 2/28/2019 - Friday 3/1/2019 (Two Day Assignment)

4.1-5.4 Test Form Z - Part 1 - Test Correction and Targeted Review Assignment (in documents or click the link)

4.1-5.4 Test Form Z - Part 1 - Extended Solutions and Scoring Rubric (in documents or click the link)

Want a rematch? 4.1-5.4 Test Form Z - Part 1 - Blank Copy (in documents or click the link)

Alternative Targeted Review Option - Complete 2-3 appropriate FRQs as your targeted review:

Table Problems / Graph of f, f’, or f’’ / Rate In/Rate Out Application Problems.

 

4.1-5.4 Test - Part 2 (administered during class Thursday; focuses on 5.1-5.4

See the AB Practice Tests Tab for a study guide and preparation materials.

 

Wednesday 2/27/2019

5.7 Bellwork (in documents)

Correct with: 5.7 Bellwork - Solutions (in documents)

5.7 Mini-Lecture with Professor Leonard

Read 5.7.

5.7 (6, 10, 13, 17, 21, 24, 29, 31, 35, 39-40, 43, 71)

Correct with: 5.7 MORE Complete Solutions (in Calculus Book Solutions, included tutorial video links for a few of the more challenging problems)

5.7 Notes - Inverse Trig Function Integration (in documents)

Tutorial Videos:

5.7 Pre - Completing the Square

5.7 - Arctan Integral Involving Completing the Square

5.7 - Arcsin Integral Involving Completing the Square

5.7 - Integration Involving Inverse Trigonometric Functions

5.7 – Long Videos Involving Inverse Trig. Integration

 

Tuesday 2/26/2019

4.1-5.4 Test - Part 1 (administered during class; since this is also serving as your in class Ch.4 Retest, you are welcome to retake the test UNTIMED after school).

See the AB Practice Tests Tab for a study guide and preparation materials.

 

AB Homework Check - Monday 2/25/2019

1) 5.1 and 5.2 Combined Assignment5.1 (47, 50, 53, 56, 60, 70, 76, 78, 81, 85, 102) / 5.2 (5, 9, 12, 16, 23, 33, 39, 44, 53, 57)

2) 5.4 Part 1 (1, 3, 13, 15, 17, 21, 25, 29, 31, 39-59(odd), 60, 63, 65, 69, 73)

3) 5.4 Part 2 (99, 103, 107, 111, 115, 117, 119, 121, 127, 129, 135, 140)

4) 5.3 (1, 3, 29, 31, 71, 73, 75, 81, 83)

5) 4.1-5.4 Material on the 2008 AP Exam w/ Detailed Corrections

6) 5.5 Day 1 (1-38 as needed for review, 42, 43, 45, 49, 51, 55, 59, 63, 65)

7) 5.5 Part 2 (67-85(odd), 107)

8) 5.6 Day 1 (5, 7, 9, 11, 17, 19, 27, 29, 31, 33)

9) 5.6 Day 2 (43-51(odd), 73-77(odd), 81, 91-94, 97)

10) Chapter 5 Review Project #1

11) Mid-Winter Break Practice Exam + Score + Detailed Corrections - AB Mid-Winter Break Practice Exam - INSTRUCTIONS

 

Monday 2/25/2019

In class test review for the Mid-Winter Break Practice Test Detailed Solutions.

No additional homework.  Prepare for your 4.1-5.4 Test - Part 1 tomorrow.  You can even take that test untimed after school tomorrow!

You can find a study guide, practice tests, and solutions on the AB Practice Tests Tab

2012 AB MCQ Tutorial Videos:

1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 / 16 / 17 / 18 / 19 / 20 / 21 / 22 / 23 / 24 / 25 / 26 / 27 / 28

76 / 77 / 78 / 79 / 80 / 81 / 82 / 83 / 84 / 85 / 86 / 87 / 88 / 89 / 90 / 91 / 92

 

Saturday 2/16/2019 - Sunday 2/24/2019 - Mid-Winter Break Calculus Extravaganza

AB Mid-Winter Break Practice Exam - INSTRUCTIONS (in documents or click link)

MCQ Solutions Link (You can also find video tutorial links below for just about every problem!)

You are only assigned MCQs (multiple choice questions)!

AB Mid-Winter Break Bellwork – Calculator Examples (in documents or click link)

I would advise students to take advantage of the free printing at the Covington Library.  You only need to print out the pages with MCQs.  Getting used to the feel and format of the actual test prior to AP Exam Day really helps.

Be prepared to AB share your detailed test corrections on 2/25/2019 (first day after break).

2012 AB MCQ Tutorial Videos:

1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 / 16 / 17 / 18 / 19 / 20 / 21 / 22 / 23 / 24 / 25 / 26 / 27 / 28

76 / 77 / 78 / 79 / 80 / 81 / 82 / 83 / 84 / 85 / 86 / 87 / 88 / 89 / 90 / 91 / 92

 

Friday 2/15/2019

Chapter 5 Review Project #1 (in documents; would have been distributed in class, but the online version will have to do this year!)

Perform detailed corrections with: Chapter 5 Review Project #1 - Complete Solutions (in documents)

Tutorial Videos: 2011 Form B FRQ 2 (You can easily find youtube video solutions for almost any FRQ on the AB FRQ Website!)

This assignment will help prepare you for your 4.1-5.4 Test - Part 2 on Thursday, 2/28/2019.

 

Thursday 2/14/2019

5.6 Day 2 (43-51(odd), 73-77(odd), 81, 91-94, 97) - Had enough Professor Leonard?  Try some Patrick JMT instead! - Inverse Trig. Calc.

Correct with: 5.6 MORE Complete Solutions (in Calculus Book Solutions)

There are always typed solutions available on the Calculus Book Solutions tab (on the left sidebar of the class website).  There are always typed solutions available for the odd problems at: calcchat.com.

5.6 Notes - Derivatives of Inverse Trig Functions (in documents; start on slide #27 and finish going through the rest today) 

Tutorial Videos:

5.6 Full Lecture with Professor Leonard

5.6 Pre - Inverse Trigonometric Functions

5.6 Pre - Evaluating Inverse Trig. Functions Using a Right Triangle Approach

5.6 Pre - Evaluating Inverse Trig. Functions Using a Right Triangle Approach - Specifically with a Composite Expression

5.6 Pre - Solving Trigonometric Equations

5.6 - Derivatives of Inverse Trig. Functions

 

Wednesday 2/13/2019 5.6 Full Lecture with Professor Leonard

5.6 Bellwork (in documents; would have been distributed in class, but the online version will have to do this year!)

5.6 Notes - Derivatives of Inverse Trig Functions (in documents; try to get up through slide #26 today)

Read 5.6; all of the main derivative rules for the ENTIRE AP Test are on pg. 378 (Rules 1-10 and 12-21).  That's it!  Get them memorized before May 14th!

Had enough Professor Leonard?  Try some Patrick JMT instead! - Patrick JMT posts videos for pre-calc and calc.  Those two worlds collide a bit in 5.6 (the pre-calc is probably harder than the calc for this section).  See the section of 5.6 Pre videos below in Tutorial Videos.

5.6 Day 1 (5, 7, 9, 11, 17, 19, 27, 29, 31, 33)

Correct with: 5.6 MORE Complete Solutions (in Calculus Book Solutions)

There are always typed solutions available for the odd problems at: calcchat.com.

Tutorial Videos:

5.6 Pre - Inverse Trigonometric Functions

5.6 Pre - Evaluating Inverse Trig. Functions Using a Right Triangle Approach

5.6 Pre - Evaluating Inverse Trig. Functions Using a Right Triangle Approach - Specifically with a Composite Expression

5.6 Pre - Solving Trigonometric Equations

5.6 - Derivatives of Inverse Trig. Functions

 

Tuesday 2/12/2019

Read pages 365-367. A new integration rule is introduced there.

5.5 Part 2 (67-85(odd), 107).

Correct with: 5.5 Complete Solutions (in Calculus Book Solutions) or calcchat.com

5.5 MORE Complete Solutions - Selected Problems (in Calculus Book Solutions; just email Mr. Harp if you want a problem added)

5.5 Notes - Bases Other than e and Applications (in documents)

Tutorial Videos:

5.5 - Integration of Exponential Functions with Bases Other than e

 

Monday 2/11/2019 5.5 Full Lecture with Professor Leonard

5.5 Bellwork - Day 1 (in documents; would have been distributed in class, but the online version will have to do this year!)

Correct with: 5.5 Bellwork - Day 1 - Detailed Solutions (in documents)

Read 5.5.

5.5 Day 1 (1-38 as needed for review, 42, 43, 45, 49, 51, 55, 59, 63, 65)

Correct with: 5.5 Complete Solutions (in Calculus Book Solutions) or calcchat.com

5.5 MORE Complete Solutions - Selected Problems (in Calculus Book Solutions; just email Mr. Harp if you want a problem added)

5.5 Notes - Bases Other than e and Applications (in documents)

Tutorial Videos:

5.5 - Derivatives of Log Functions with Bases Other than e

5.5 - Derivatives of Exponential Functions with Bases Other than e

5.5 - Integration of Exponential Functions with Bases Other than e

5.5 Full Lecture with Professor Leonard

 

Friday 2/8/2019

In class, we will focus on detailed corrections for the Semester Final Exam MCQs.

Today's Assignment: 4.1-5.4 Material on the 2008 AP Exam (in documents) 

Perform detailed test corrections using: 4.1-5.4 Material on the 2008 AP Exam – Complete Solutions (in documents) / Alternate 2008 Multiple Choice Solutions Link

Tutorial Videos: 2008AB FRQ #2 2008AB FRQ #3 / 2008AB FRQ #6

Optional Resources4.1-5.4 Test Topics (in documents) / Table Problems / Graph of f, f’, or f’’ / Rate In/Rate Out Application Problems

Optional Resources4.1-5.4 Quiz #1 / 4.1-5.4 Quiz #1 Detailed Solutions (in documents; counts in place of 5 points of missing homework)

 

AB Homework Check - Thursday 2/7/2019

1) 5.1 Part 1 (7-10, 19-35 odd, 47, 49-52, 57, 59)

2) 5.1 Part 2 (65, 69, 71, 75, 77, 80, 83, 88, 89, 93, 101, 103)

3) Semester Final FRQ Detailed Corrections: Form A FRQ Solutions / Form B FRQ Solutions

4) 5.2 Part 1 (7, 15, 21, 23, 31, 36, 37, 43, 55)

 

Thursday 2/7/2019

5.3 Full Lecture with Professor Leonard

5.3 Notes - Derivatives of Inverses (in documents; make sure you understand the algebraic definition of an inverse AND memorize the derivative rule for an inverse; you are nearly guaranteed exactly 1 question involving inverses on the AP Exam in May)

Read 5.3.
5.3 (1, 3, 29, 31, 71, 73, 75, 81, 83)

5.3 MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

5.3 - Derivatives of Inverses

5.3 Pre - Inverse Functions

 

Wednesday 2/6/2019

5.4 Notes - Exponential Functions Differentiation and Integration (in documents)

Start on slide 22 and go through the rest of the slides (USE SLIDESHOW!).  Work through the bellwork and examples with those around you.

5.4 Part 2 (99, 103, 107, 111, 115, 117, 119, 121, 127, 129, 135, 140)

5.4 Part 2 - MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

5.4 Full Lecture with Professor Leonard

5.4 - Integration of Exponential Functions with Base e

 

Tuesday 2/5/2019

5.4 Full Lecture with Professor Leonard

5.4 Notes - Exponential Functions Differentiation and Integration (in documents; today, please work up through slide 21.)

Read 5.4.
5.4 Part 1 (1, 3, 13, 15, 17, 21, 25, 29, 31, 39-59(odd), 60, 63, 65, 69, 73)

5.4 Part 1 - MORE Complete Solutions (in Calculus Book Solutions)

Desmos Graphing Calculator Link

Tutorial Videos:

5.4 - Derivatives of Exponential Functions with Base e

5.4 Pre - Solving Exponential Equation

 

Monday 2/4/2019

5.1-5.2 Bellwork AND Solutions (in documents; two versions of solutions on last two pages)

5.1 and 5.2 Combined Assignment:
5.1 (47, 50, 53, 56, 60, 70, 76, 78, 81, 85, 102)
5.2 (5, 9, 12, 16, 23, 33, 39, 44, 53, 57)

5.1 and 5.2 Combined Assignment - MORE Complete Solutions (in Calculus Book Solutions)

 

Friday 2/1/2019

5.1-5.2 Full Lecture with Professor Leonard

Read 5.2.

5.2 Notes - Integration Involving Natural Logarithmic Functions (in documents)

5.2 Part 1 (7, 15, 21, 23, 31, 36, 37, 43, 55)

5.2 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

Tutorial Videos:

5.2 - Integration Involving Natural Logarithmic Functions

5.2 Pre - Long Division of Polynomials

5.2 - Long Division Before Integration

4.2 Pre - Summation Notation

4.2-4.3 - Definite Integral Using Summation Notation

 

Thursday 1/31/2019

Please bring a (manila or otherwise) folder to class tomorrow with your name on it.

Semester Final Exam Detailed Corrections

You can complete your FRQ Detailed Corrections at home using:

Form A FRQ Solutions (in documents) or Form B FRQ Solutions (in documents)

 

You will have to complete your MCQ Detailed Corrections in room 168.  MCQ solutions will provided to use in class.

I will go through every single MCQ problem students have questions about Friday after school, Monday after school, and Tuesday after school.

If you have any questions about the MCQs at all, you should plan on attending one of those sessions AFTER attempting your MCQ Detailed Corrections.

 

Wednesday 1/30/2019

Please work together to answer homework questions from last night; we will also have a Q&A session on 5.1 tomorrow.

Then access 5.1 Notes Part 2 - Logarithmic Differentiation (in documents) and/or 5.1 - Logarithmic Differentiation Tutorial Videos.

Then read pg. 329, Example 6.  Seriously, read it!  An additional example is given on the main board.

And finally move on to 5.1 Part 2 (65, 69, 71, 75, 77, 80, 83, 88, 89, 93, 101, 103)!

5.1 MORE Complete Solutions – Part 2 (in Calculus Book Solutions)

Tutorial Videos:

5.1 - Logarithmic Differentiation - An Application of Implicit Differentiation

5.1 - Differentiation of Natural Logarithmic Functions

5.1-5.2 Full Lecture with Professor Leonard

 

Tuesday 1/29/2019

5.1-5.2 Full Lecture with Professor Leonard

Read 5.1 and watch 5.1 review videos on logarithm properties as necessary!

5.1 Notes Part 1 - The Natural Logarithmic Function - Differentiation (in documents)

For the intensely curiousProof of Derivative of ln(x) Rule Video / Alternate Videos

5.1 Part 1 (7-10, 19-35 odd, 47, 49-52, 57, 59) - This is the first assignment of 2nd semester (fresh start!), so aim to understand every step of every problem.  Come in before school, after school, or during in class Q&A sessions to get every question you have answered.

5.1 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

Tutorial Videos:

5.1 - Differentiation of Natural Logarithmic Functions

5.1 - Logarithmic Differentiation - An Application of Implicit Differentiation

5.1 Pre - Logarithm Properties

5.1 Pre - Solving Logarithmic Equations by Exponentiation

5.1 Pre - Solving Natural Logarithmic Equations by Exponentiation

 

Thursday 1/24/2019 – Friday 1/25/2019

Semester Final Exam (administered during class)

You have the option of a 2.6 Retest before/after school next Tuesday or before school next Wednesday.  Sign up on the main board.  You can even use a 3'' x 5'' hand-written note card (front & back) for this last gasp 2.6 Retest.  Expect college level and/or AP level problems.

You have the option of a 3.7 Retest before/after school next Tuesday or before school next Wednesday.  Sign up on the main board.  You can even use a full 8'' x 11'' page of hand-written notes (front & back) for this last gasp 3.7 Retest.  Expect college level and/or AP level problems.

 

Tuesday 1/22/2019 - Wednesday 1/23/2019 - On Wednesday, Mr. Harp will be out of the building until 11AM.

2007AB FRQ #3 (just parts a-c) (distributed in class and in documents; scoring rubric and solutions on 2nd page;

for more "Big Theorem" resources, access: AB Semester 1 Final - Study Guide / AB Practice Tests Tab)

Tutorial Videos: 2007 AB FRQ #3 Video Solutions

Intermediate Value Theorem / Mean Value Theorem / Rolle's Theorem / Extreme Value Theorem

Second Fundamental Theorem of Calculus (Don't forget the CHAIN RULE VERSION!)

Fundamental Theorem of Calculus

Finish missing work (accepted up to Tuesday, January 29th).  Study for finals.

 

AB Homework Check - Tuesday 1/22/2019

1) AP Calculus AB First Semester Review Notes PART 1

2) Chapter 4 Test Detailed Corrections

3) Semester Final Review Bellwork – Day 2 – FRQ Graph Problem 

4) AP Calculus First Semester Review Notes PART 2 – Graphical Analysis 

5) AP Calculus AB First Semester Review Notes PART 3

 

Friday 1/18/2019

MCQ Practice for Semester Final (distributed in class previously and in documents)

1998AB Multiple Choice Video Solutions / 2003AB Multiple Choice Video Solutions / 2008AB Multiple Choice Video Solutions

I expect every student to try (and correct) at least 15 MCQs of their choice.

After that, do as little or as much additional MCQ practice as you find appropriate to get ready for your final!

I will be available for MCQ Q&A before and after school according to the schedule posted on the rear white board.

OptionalAB Semester 1 Final - Study Guide

Optional: AP Exam Review - The Big Theorems (in documents; we haven't covered the material for MCQs 7 & 11 yet); AP Exam Review - The Big Theorems - Expanded Multiple Choice Solutions (in documents)

Optional: AP Exam Review - Just Mean Value Theorem (in documents)

Sources for additional MCQ & FRQ Practice: AB Practice Test Depot / AB FRQ Website / Youtube for FRQ Solutions / AB FRQ Problem Index / Table Problems / Graph of f, f’, or f'’ 

 

Thursday 1/17/2019

AP Calculus AB First Semester Review Notes PART 3 (distributed in class earlier and in documents) 

Correct with: AP Calculus AB First Semester Review Notes PART 3 - Detailed Solutions (in documents; 2012 AB FRQ #1 Video Solution)

Your semester final is guaranteed to have a Table Problems FRQ (if you click the link, you will find FRQs, scoring rubrics, sample responses, and video solutions covering this topic).

Tutorial Videos included: Table Problems FRQs

 

Tuesday 1/15/2019 - Wednesday 1/16/2019 (Two Day Assignment)

1) Did you remember to do last night's reading assignment? Read: FRQ Instructions and Scoring Commentary (in documents or click the link).

2) Apply what you read last night while performing detailed test corrections and error analysis for your Chapter 4 Test (tests returned during class).

Chapter 4 Test Form C - Solutions and Rubric (in documents) - Use this for your corrections!

Chapter 4 Test Form C - Minimum Work Kid (MWK) Solution (in documents) - Then read this to see how little you could have done and still gotten +37/37!

3) Semester Final Review Bellwork – Day 2 – FRQ Graph Problem (distributed in class and in documents, solutions begin on page 3)

4) AP Calculus First Semester Review Notes PART 2 – Graphical Analysis (distributed in class and in documents; solutions begin on page 2; 2012 AB FRQ #3 Video Solution

Your semester final is guaranteed to have a Graph of f, f’, or f’’ FRQ (if you click the link, you will find FRQs, scoring rubrics, sample responses, and video solutions covering this topic).

Tutorial Videos Included: Graph of f, f’, or f’’ FRQs

 

AB Homework Check - Monday 1/14/2019

1) Chapter 4 Quiz #1 + Score + Detailed Corrections

2) 4.6 Bellwork – Definite Integral Approximations When Given a Table of Values  - I want your score+__/7.

3) Self select 5+ from: Chapter 4 AB-BC Test Prep Questions 1-10 (in your textbook, pg. after 322 or click the link).

 

Monday 1/14/2019

ReadFRQ Instructions and Scoring Commentary (in documents or click the link).  Maybe read it twice.

Finish last Thursday's assignment.

 

Friday 1/11/2019

Chapter 4 Test (administered during class; FRQ Topics: Table ProblemsGraph of f, f’, or f’’, and Applications).

Do not discuss the Chapter 4 Test until next Wednesday (when you will get your exams back).

Additional preparation materials: Ch.4 Quiz / Solutions.  Additional Ch.4 Practice Test / Solutions.

 

Thursday 1/11/2019 - Monday 1/14/2019 (Multiple Day Assignment)

Click AB Practice Test Depot & follow the instructions given.  Lots of clicking & saving!

AP Calculus AB First Semester Review Notes PART 1 (distributed in class and in documents)

Correct with: AP Calculus AB First Semester Review Notes PART 1 - Detailed Solutions (in documents)

Sources for MC & FRQ Practice: Semester Final Study Guide / AB Practice Test Depot / AB FRQ Website / Youtube for FRQ Solutions / AB FRQ Problem Index 

 

Wednesday 1/9/2019

4.6 Bellwork – Definite Integral Approximations When Given a Table of Values (distributed in class and in documents; solutions begin on the 2nd page) - I want your score+__/7.

Self select 5+ from: Chapter 4 AB-BC Test Prep Questions 1-10 (in your textbook, pg. after 322 or click the link).

Correct with: Chapter 4 AB/BC Test Prep Questions - Complete Solutions (in Calculus Book Solutions)

Select problems you feel will be help you solidify your conceptual and procedural understanding of integration and integration applications.

Alternative Assignmentwork through, score, and perform detailed corrections for 2+ FRQs: Table ProblemsGraph of f, f’, or f’’, and Applications.

 

AB Homework Check - Tuesday 1/8/2019 

1) Self select 10+ problems from the Chapter 4 Review (1-10, 13-16, 33-84, 87-90, Trapezoidal Sum Only: 91-94) on pages 318-320.

2) 4.6 Bellwork – Definite Integral Approximations

3) 4.6 Classwork – Integral Approximations from a Table of Values - I want your score: +__/8.

4) 4.6 (5, 9, 13, 20, 40, 49a, 53) (Trapezoidal Rule Only, IGNORE ALL REFERENCES TO SIMPSON'S RULE!)

 

Tuesday 1/8/2019 - Due to weather problems, Tuesday's HW is a optional.  This optional assignment will count in place of 5 points of missing work.  Just write the name of the assignment you wish the optional assignment to count in place of at the top of your paper in pen. 

Monday's HW is still required.  If you didn't work through Monday's HW yet, you can pick up the paper version of Monday's HW in class today.

Chapter 4 Review – Part 2 - Self select 10+ problems from the Chapter 4 Review on pages 318-320 based on what you had difficulty with on the quiz, what you feel you need more practice with, or what you find interesting conceptually.

Problems from 55-84, 87-90, 61 and 63 would be good choices for many students.

Chapter 4 Review Complete Solutions (in Calculus Book Solutions)

Alternative Assignmentwork through, score, and perform detailed corrections for 2+ FRQs: Table ProblemsGraph of f, f’, or f’’, and Applications.

 

Monday 1/7/2019

Chapter 4 Quiz #1 (will be distributed in class and in documents)

Score yourself (+___/28) and perform detailed quiz corrections (complete sentence(s) describing errors/stuck points required as always!) using: Chapter 4 Quiz #1 - Detailed Solutions and Scoring Rubric (in documents)

Additional optional practice test (you can work through this additional practice test and detailed corrections in place of 10 points of missing homework; just write the assignment names at the top of your test in pen):

Chapter 4 Test Form AB (will be distributed in class and in documents; entirely optional; I will do a Q&A Wednesday for this version of the exam.)

Chapter 4 Test Form AB - SOLUTIONS AND RUBRIC (in documents)

 

Friday 1/4/2019

4.6 Bellwork – Definite Integral Approximations (distributed in class and in documents)

Correct with: 4.6 Bellwork Solutions (distributed in class and in documents)

4.6 Classwork – Integral Approximations from a Table of Values (distributed in class and in documents; I want your score: +__/8)

Read 4.6.  IGNORE ALL REFERENCES TO SIMPSON'S RULE.

4.6 (5, 9, 13, 20, 40, 49a, 53) (Trapezoidal Rule Only, IGNORE ALL REFERENCES TO SIMPSON'S RULE!)

4.6 MORE Complete Solutions (in Calculus Book Solutions)

4.6 Notes - Trapezoidal Sum for Approximation of Definite Integrals (in documents)

Tutorial Videos (and other resources):

4.6 - Trapezoidal Rule WITH UNEQUAL WIDTHS - SUPER IMPORTANT!

4.6 - Trapezoidal Sum

Table Problems FRQs / Graph of f, f’, or f’’ FRQs / Applications FRQs

 

Wednesday 1/2/2019 – Thursday 1/3/2019 (Two Day Assignment)

In class, we will review the Winter Break Practice Exam / Solutions.

Self select 10+ problems from the Chapter 4 Review (1-10, 13-16, 33-84, 87-90, Trapezoidal Sum Only: 91-94) on pages 318-320.

Chapter 4 Review Complete Solutions (in Calculus Book Solutions)

A bit lost?  Alternative assignment: Self select 10+ Video Problems with Chapter 4 Topics

Tutorial Videos:

4.6 - Trapezoidal Rule WITH UNEQUAL WIDTHS - SUPER IMPORTANT!

4.6 - Trapezoidal Rule

 

AB Homework Check - Wednesday 1/2/2019 - Thursday 1/3/2019

1) 4.5 Classwork

2) 4.5 Part 3 (81, 83, 84, 85, 93, 95, 103, 104, 107, 117, 119)

3) Winter Break Assignment + Detailed Corrections

 

Tuesday 12/18/2018 

Winter Break Assignment (distributed in class last week) / Solutions

&

4.5 Part 3 (81, 83, 84, 85, 93, 95, 103, 104, 107, 117, 119)

Please change the limits of integration on 818384, and 85!

If you feel your learning targets are already met &/or are looking for more challenging problems, consider choosing problems from 4.5 (67-74).

Correct using: 4.5 MORE Complete Solutions - Part 3 (in Calculus Book Solutions) & 4.5 Complete Solutions (in Calculus Book Solutions)

4.5 AB Notes Day 4 - Integration of Even and Odd Functions (in documents)

Tutorial Videos: 

4.5 - Definite Integration using u-substitution

4.5 Pre (4.4) - Evaluating Simple Definite Integrals 

4.5 - Definite Integrals of Even and Odd Functions

Khan Academy Adaptive Learning for 4.5

 

AB Homework Check - Monday 12/17/2018

1) 4.4 Part 2 (39, 45,47, 51, 56, 63, 66, 69, 77, 85, 87, 89, 99)

2) Calculator Skills Required for the AP Calculus Exams (I want your score: +__/4).

3) 4.4 Part 3 (107-110, 113-117)

4) 4.5 Part 1 (1-6, 13-37 every other odd (e.o.o), 48, 53) - NO SHORTCUTS!  See detailed assignment description.

5) 4.5 Part 2 (41, 51, 55, 60, 63-79(odd))

 

Monday 12/17/2018 

Reminder: if you turn in all of your homework for the semester (even late), I will raise your grade by one category.  For example, this would raise a B+ to an A-.  The last day to turn in late work is January 25th.  To be eligible for the curve on the Semester Final Exam, you must have all homework completed for the semester.

4.5 Bellwork - Day 3 (distributed in class and in documents; solutions in today's notes)

4.5 Classwork (distributed in class and in documents; answers on last two pages)

Correct using: 4.5 Classwork - Detailed Solutions (in documents)

4.5 AB Notes Day 3 - Integration of Even and Odd Functions (in documents)

Chapter 3 Retest Corrections & 3.7 Retest Corrections (retests returned in class; solutions emailed to you)

Tutorial Videos:

4.5 - Definite Integrals of Even and Odd Functions

4.5 - Definite Integration using u substitution

 

Friday 12/16/2018 

4.5 AB Notes Day 2 - Integration by Substitution - Part 2 (in documents)

4.5 Part 2 (41, 51, 55, 60, 63-79(odd))

For 4.5 Part 2, you can either use formal u-substitution or informal u-substitution (see part of the notes posted in documents).

Correct using: 4.5 MORE Complete Solutions - Part 2 (in Calculus Book Solutions)

Tutorial Videos:

4.1 - Initial Value Problems - Solving Basic Differential Equations with an Initial Condition

4.5 - Definite Integration using u substitution

4.5 - Integration using u substitution

4.5 - Many u-substitution videos (scroll down for additional videos!)

4.5 - Integration by u-substitution - longer videos

4.5 Professor Leonard Lecture / Khan Academy / Patrick JMT / Krista King

 

AB Homework Check - Thursday 12/13/2018

1) Chapter 3 Test & 3.7 Test Detailed Corrections

2) Chapter 3 Test Targeted Review OR Create Your Own

3) 4.2

4) 4.3 (19, 21, 27, 31, 33-34, 39, 43-44, 48-49, 52)

5) 4.4 Part 1 (1-23, 27-38)

 

Thursday 12/13/2018 - AB Winter Break Assignment - Instructions / Solutions

Read using slideshow: 4.5 AB Notes Day 1 - Integration by Substitution (in documents)

Read 4.5.  Make sure every single example makes sense to you. 

If necessary, provide annotated examples from the homework problems in your notes for every property and situation you uncover in the reading, including reading the examples.

4.5 Part 1 (1-6, 13-37 every other odd (e.o.o), 48, 53)

Correct with: 4.5 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

If your work looks different than mine, critically examine every bit of your notation for errors.

NO SHORTCUTS!  Go through the full u-substitution procedure for 13-37 e.o.o and 48/53.

1) Examine the integral and choose an appropriate u.

2) Find du.

2a) (Only for Definite Integrals) Find the limits of integration in the u-universe.  Find u(a) and u(b).

3) Substitute.  Now your integral should be in terms of u.

4) Evaluate the integral in the u-universe.

5) Don't forget to substitute back into the x-universe!

6) At step 4) OR step 5), you should check your result by differentiation.  If you are comfortable taking chain rule derivatives in your head, you could even perform this check mentally.

Tutorial videos:

4.5 - Integration using u substitution

4.5 - Definite Integration using u substitution

4.5 - Many u-substitution videos (scroll down for additional videos!) / 4.5 - Integration by u-substitution - longer videos

4.5 - Integration by u-substitution 

4.5 Professor Leonard Lecture / Khan Academy / Patrick JMT / Krista King

 

Tuesday 12/11/2018 - Wednesday 12/12/2018 (Two Day Assignment)

Chapter 3 Retest & 3.7 Retest (administered during class)

4.4 Day 3 Notes and Day 4 Notes - Fundamental Theorem of Calculus (in documents; you are responsible for all material up through slide 34)

This is also part of your homeworkCalculator Skills Required for the AP Calculus Exams (distributed in class and in documents; I want your score: +__/4).

4.4 Part 3 (107-110, 113-117)

4.4 MORE Complete Solutions - Part 3 (in Calculus Book Solutions)

Tutorial Videos:

4.4 - Evaluating a Definite Integral on a TI83/84

Solving an Equation on a TI83/84 - Intersect Method

Solving an Equation on a TI83/84 - Finding the Zeroes Method

2.1 - Evaluating a Derivative at a Point Using the nderiv Function on a TI-83/84

More exhaustive lecture on finding the average value of a function and the mean value theorem for integrals.

4.4 - Accumulation Functions

4.4 - Net Change Theorem

4.4 - AP Motion Problems - Particle Motion

4.4 – Net Change Theorem Application Problems

4.2-4.3 - Sigma (Summation) Notation - Basic

4.3 - Riemann Sum Connection to Definite Integrals

If you read 4.2, read 4.3, and watch some of those 4.2-4.3 videos linked above, you can get a basic idea of the connection between definite integrals and infinite sums.  All definite integrals can be re-written as sums...but Liebniz saved you from writing definite integrals in summation notation.

 

Monday 12/10/2018 – Mr. Harp is out of the building.

1) Read AB Winter Break Practice Exam - Instructions (in documents and will be distributed in class later this week).  That document outlines your assignment for Winter Break which includes multiple choice practice, FRQ practice, and serves as a practice version of your semester final (upcoming on Jan.24th/Jan.25th).

2) 4.4 Day 2 Notes - Fundamental Theorem of Calculus (in documents)

3) Did you read 4.4 yet?  Read 4.4!

4) 4.4 Part 2 (39, 45,47, 51, 56, 63, 66, 69, 77, 85, 87, 89, 99) - This is Monday's actual homework assignment!
To complete problems 77, 85, 87, 89, read pages 289-90 carefully.

4.4 MORE Complete Solutions - Part 2 (in Calculus Book Solutions)

You may find the following videos helpful (each of which was found with a 5 second google/youtube search):

Simple example of finding the average value of a function.

Second fundamental theorem of calculus. Examples are towards the end.

Tutorial Videos:

4.4 - The SECOND Fundamental Theorem of Calculus / 4.4 - Average Value of a Function

4.4 - Accumulation Functions / 4.4 - Net Change Theorem

4.4 - AP Motion Problems - Particle Motion / 4.4 – Net Change Theorem Application Problems

 

Friday 12/7/2018

4.4 Day 1 Notes - Fundamental Theorem of Calculus (in documents)

4.4 Examples using PROPER FORMAT (distributed in class and in documents; use as templates to follow for the homework!)

Read 4.4.

4.4 Part 1 (1-23, 27-38) - Aim for FLAWLESS notation!

Hints for homework:

1-22, If you can’t integrate immediately, use algebra (especially exponent rules) to rewrite the integrand into a different form.

23 - Break up the integrand into a piecewise expression using the techniques we learned in chapter 1.

29-32 – In some cases, you will need to make a Pythagorean identity substitution.  

4.4 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

Optional Notes: 4.4 - A Deeper Look Including Historical Background (in documents)

Tutorial Videos:

4.4 - Basic Definite Integrals 

4.4 - Fundamental Theorem of Calculus

4.4 - Evaluating a Definite Integral on a TI83/84

4.4 - PROOF for the Fundamental Theorem of Calculus (for the curious student!)

4.4 Professor Leonard Lecture / Khan Academy / Patrick JMT / Krista King

 

Thursday 12/6/2018

4.2 Bellwork - Area Approximations (distributed in class and in documents; solutions on the 2nd page)

Then read: 4.3 Notes - Definite Integrals and Their Properties (in documents)

4.3 Bellwork - Part 2 - Graphical Aid (distributed in class and in documents)

Go back and read 4.2.  Seriously, read it! 

If you are reading a college level math textbook without taking notes (with annotations!), highlighting, and/or outlining, you are probably wasting time.

Then read 4.3. 

4.3 (19, 21, 27, 31, 33-34, 39, 43-44, 48-49, 52)

Tutorial Videos:

4.3 - Basic Integral Properties / 4.3 - Introduction to Definite Integrals

4.2-4.3 - Sigma (Summation) Notation - Basic / 4.3 - Riemann Sum Connection to Definite Integrals

4.2-4.3 Professor Leonard Lecture / 4.2-4.3 Khan Academy / 4.2-4.3 Patrick JMT /  4.2-4.3 Krista King

Supplemental - Annotating Math Lecture Notes

 

Wednesday 12/5/2018

ReadHow Schools (K-12) Fail the Smartest Students

Consider Exploring BEFORE CollegeWhy Do Students Switch Out of STEM Majors in College? / Link 2 / Link 3

4.2 Bellwork - Day 1 (in documents)

DO NOT USE calcchat or the answers in the back of your book today, because I modified the problems!
Use: 4.2 MORE Complete Solutions (in Calculus Book Solutions)

4.2 (33-36 LRAM & RRAM), (41-42 MRAM), (43-44 RRAM), (57 & 59 MRAM with 4 rectangles of equal width)

BEST DONE ON GRAPH PAPER!

LRAM = Left Riemann Sum, RRAM = Right Riemann Sum, MRAM = Midpoint Sum

4.2 Notes - Riemann Sums (in documents) 

Optional: Read 4.2.

Tutorial Videos:

4.2 - LRAM - Left Riemann Sum / 4.2 - RRAM - Right Riemann Sum

4.2 - MRAM - Midpoint Sum / 4.2 - Trapezoidal Sum

4.2-4.3 Professor Leonard Lecture / 4.2-4.3 Khan Academy / 4.2-4.3 Patrick JMT / 4.2-4.3 Krista King

 

Monday 12/3/2018 – Tuesday 12/4/2018 (Two Day Assignment)

ReadMath Study Skills for College – BASIC (If you haven't already, just read it as an exploration of possible study strategies!)

Homework Part 1: Perform Chapter 3 Test & 3.7 Test Detailed Corrections using

Chapter 3 Test - Solutions & Scoring Rubrics (in documents) and 3.7 Test - Solutions & Scoring Rubric (in documents).

Be prepared to AB share your detailed test corrections at the start of class Tuesday.

Homework Part 2Tuesday Homework

Option 1Chapter 3 Targeted Review - Find 1-2 problems from 3.1-3.9 and the chapter 3 review in the book like each problem you missed on the test OR covering the same topics as each problem you missed on the test, complete them, and score them. Calcchat, the complete solutions, and the MORE complete solutions for each section are excellent resources for review.

Option 2Create Your Own - Write a similar problem of your own for each one you missed.  Solve the problem.  Verify your solution.  Feel free to use DESMOS or other resources to verify your solutions!

Optional Reading/Exploration: How to Study for a College Math Test

Optional Reading/Exploration: How to Study Actively / How to Test & Quiz Yourself While Studying

Optional Reading/Exploration: How to Take Notes in a Math Class

 

AB Homework Check - Monday 12/3/2018

1) Self select 5+ problems from Chapter 3 AB-BC Test Prep Questions

2) 2.6 & 3.7 - University Related Rates & Optimization Problems

3) 4.1 Part 1 (17, 21, 27, 29, 35, 38, 41, 42, 45-47, 49)

4) 4.1 Part 2 (57-65 odd, 70, 71, 73, 76, 77)

 

Friday 11/30/2018

ReadMath Study Skills for College – BASIC (Just read it as an exploration of possible study strategies!)

4.1 Classwork - Rewrite and Integrate! (distributed in class and in documents)

4.1 Bellwork – Differentiation and Integration Warmup (distributed in class and in documents; get to memorizing!)

4.1 Part 2 (57-65 odd, 70, 71, 73, 76, 77)

Correct with: 4.1 MORE Complete Solutions - Part 2 (in Calculus Book Solutions) mmm...notation.

4.1 Notes - Part 2 - Basic Gravitational Motion (in documents)

Tutorial Videos:

4.1- Vertical Gravitational Motion Problems

4.1 - Basic Indefinite Integration

4.1 - An Introduction to Indefinite Integration

4.1 - Initial Value Problems - Solving Basic Differential Equations with an Initial Condition

4.1 Full Lectures / Professor Leonard Full Lecture

 

Thursday 11/29/2018

1) Please use SLIDESHOW!: Read 4.1 Notes - Antidifferentiation (in documents)

2) That wasn't so bad.  When starting out in Chapter 4, always take a derivative to check your anti-differentiation!  (Very enthusiastic video covering that ideaif you start that video, go ahead and finish it!  8 minutes of his sassiness won't kill you.  Some would call that a horrible math video, but if you went through the notes first, all of his sass should make sense.  I bet you can find way better math videos for 4.1 using appropriate search terms of your own!).

3) Next: Read 4.1. (seriously, read it!).

4) Now, explore some of these videos until you have your head wrapped around all of this new information: Introduction to the Antiderivative / Introduction to Indefinite Integration / Full Lectures / Professor Leonard Full Lecture

5) Whenever you are ready, start on: 4.1 Part 1 (17, 21, 27, 29, 35, 38, 41, 42, 45-47, 49) - Be brutal about correcting your notation errors!  Just getting the correct answer is not good enough.

Correct with: 4.1 MORE Complete Solutions - Part 1 (in Calculus Book Solutions) mmm...notation.

Tutorial Videos:

4.1 - Basic Indefinite Integration / Professor Leonard Full Lecture

4.1 - An Introduction to Indefinite Integration

4.1 - Initial Value Problems - Solving Basic Differential Equations with an Initial Condition

 

Tuesday 11/27/2018 - Wednesday 11/28/2018 (Two Day Assignment)

Chapter 3 Test (administered during class on Tuesday)

3.7 Test (administered during class on Wednesday)

2.6 & 3.7 – University Final Exam Problems – Related Rates & Optimization (distributed in class and in documents)

Correct with: 2.6 & 3.7 - University Problems - Solutions (in documents)

Optional - Explore the Source Links Below:

Stanford Math 41 Materials Link / UW Math 124 Final Exams Link / UW Math 124 Materials Link

Tutorial Videos:

3.7 - Cylinder Optimization

2.6 - Trig. Related Rates

2.6 - Cone Draining into Cylinder Video 1 / Video 2

3.7 - Sphere in a Cone

 

AB Homework Check - Monday 11/26/2018

1) 2.5 Retest and/or 2.6 Retest Detailed Corrections (if you took a retest)

2) Chapter 3 Practice Test + Score: +__/30 + Detailed Corrections

3) Chapter 3 PRACTICE Test #2 - 2015 + Score: +__/34 Detailed Corrections

4) 3.9 (1-6, 21-26, 43-48) - Use tangent line approximations if the differentials approach doesn't make sense to you!

 

Monday 11/26/2018

Self select 5+ problems from Chapter 3 AB-BC Test Prep Questions (which start on the page after 246 in the textbook or just click the hyperlink)

Correct with: Chapter 3 AB-BC Test Prep Questions - Complete Solutions (in Calculus Book Solutions)

Self select problems you feel will best help you meet the learning targets for Chapter 3 (which will of course be assessed on your Chapter 3 Test on Tuesday, 11/27/2018):

Chapter 3 Learning Targets (a.k.a. Study Guide)

Tutorial Videos:

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 1 / Part 2

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 2

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 3

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 4

 

Tuesday 11/20/2018 - Wednesday 11/21/2018 (Two Day Assignment)

#11-#13 from Ch.3 Practice Test Walk-through (in documents; USE SLIDESHOW!)

#16 Tutorial Videos

Chapter 3 PRACTICE Test #2 - 2015 (distributed in class and in documents; this practice test is longer than the typical test for this chapter)

Score your practice test (+__/34) & perform detailed test corrections using: Chapter 3 PRACTICE Test #2 - Complete Solutions (in documents)

Read 3.9.

3.9 (1-6, 21-26, 43-48) - Use tangent line approximations if the differentials approach doesn't make sense to you!

3.9 Notes - Differentials and Tangent Line Approximation (in documents)

3.9 Supplemental Notes - Tangent Line Approximations (in documents)

Tutorial Videos:

For 43-46 - 3.9 - Approximating Square RootsCube Roots, and Functions Using Differentials (Tangent Line Approximations Really)

3.9 - Tangent Line Approximation (don't forget your squiggle!)

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 1 / Part 2

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 2

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 3

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 4

I will deduct a point for failure to show a squiggle when the problem statement requested an approximation!

3.9 - Differentials / 3.9 - Differentials and Error Approximation

3.9 - Full Length Conceptual Lecture

 

AB Homework Check - Monday 11/19/2018

1) 3.6 Supplemental Notes - f, f’, f” graphs - Must be 100% complete for credit.  No replacements will be accepted for this assignment.

2) 3.6 Part 1 (7, 13, 17, 21, 31)

3) 3.6 Part 2 (19, 41, 49-50, 61-62, 71-72)

4) 3.7 (5, 7, 13, 15, 17, 21, 29, 33, 39, 40, 42a, 49, 54)

 

Monday 11/19/2018

2.5 Retest and/or 2.6 Retest Detailed Corrections (if you took a retest; solutions emailed to you and retests returned during class)

Read: 3.4 Supplemental Notes (distributed in class and in documents)

Use slideshow to read: 3.9 Supplemental Notes - Tangent Line Approximations (in documents)

Chapter 3 Practice Test (distributed in class and in documents; this practice test is longer than the typical test for this chapter; #16 Tutorial Videos)

Score your practice test (+__/30) & perform detailed test corrections using: Chapter 3 Practice Test - Complete Solutions and Scoring Rubrics (in documents) / 

#11-#13 from Ch.3 Practice Test Walk-through (in documents; USE SLIDESHOW!)

Be ready to AB share your practice test and detailed corrections during class TOMORROW!

Tutorial Videos:

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 1 / Part 2

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 2

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 3

3.9 Supplemental - Tangent Line Approximations on the AP Exam - Video 4

3.9 - Full Length Conceptual Lecture

 

Thursday 11/15/2018 – Friday 11/16/2018 (Two Day Assignment)

3.7 - Full Lecture w/ Professor Leonard

3.7 Bellwork - Day 2 (in documents or click the link) / Video Solutions: Part 1 / Part 2

Correct with: 3.7 Example #2 - Nitpicky Solutions (distributed in class Friday and in documents; this is our bellwork solution for Friday)

Read 3.7.
3.7 (5, 7, 13, 15, 17, 21, 29, 33, 39, 40, 42a, 49, 54)

3.7 MORE Complete Solutions (in Calculus Book Solutions)

Having trouble with 3.7?  Scroll down to find video problems specifically chosen to accompany the assigned homework problems.  Feel free to work through video problems in place of those I assigned for 3.7 or as a supplement to those I assigned for 3.7.

3.7 Notes - Optimization (in documents)

Tutorial Videos:

3.7 - Optimization with Calculus

3.7 - Optimization Basic Example #1

3.7 - Optimization Basic Example #2

3.7 - Optimization Basic Example #3 (scroll down on the same page for several other optimization video problems)

3.4/3.7 Supplemental - Optimization Using the 2nd Derivative Test for Absolute Extrema

NEW - 2nd Derivative Test for ABSOLUTE Extrema vs. OLD - 2nd Derivative Test for LOCAL Extrema.

Professor Leonard Version / Patrick JMT Version / Krista King Version / Khan Academy Guy Version / Khan Academy UNIT

Tutorial Videos Specifically Chosen to Accompany Homework Problems:

3.7 Problems #5 & #7 – Optimization: Sum and Product of Two Numbers

3.7 Problems #13 & #15 – Optimization: Closest Point on a Graph

3.7 Problem #17 – Optimization: Least Amount of Paper

3.7 Problem #21 – Optimization: Least Amount of Fencing

3.7 Problem #29 – Optimization: Rectangle Inscribed in Semicircle

3.7 Problem #33 – Optimization: Volume and Girth (Girth???)

3.7 Problem #42a – Optimization: Equilateral Triangle and Square Area Precalc / Calc

3.7 Problem #49 – Optimization: Minimum Time for a Trip

3.7 Problem #54 – Optimization: Minimum Cost for a Pipeline

 

AB Homework Check - Wednesday 11/14/2018

1) 3.2 (13, 15, 17-18, 21, 23, 37, 39, 41, 43, 46, 59, 64, 77-80)

2) 2.5-2.6 Test Detailed Corrections

3) 3.3 Guided Notes

4) 3.3 (21, 22, 27, 34, 37, 43, 44, 51, 61-68, 71-76) / 3.3 (19, 33, 35, 45, 47)

5) 3.4 (9, 14, 25, 35, 43, 45, 61-64, 67, 73, 91-94)

 

Tuesday 11/13/2018 - Wednesday 11/14/2018 (Two Day AssignmentUse DESMOS as a visualization tool in Chapter 3!

2.5 Retest and/or 2.6 Retest (administered during class Tuesday; or you could take untimed retests after school)

3.6 - Full Lecture with Professor Leonard - Curve Sketching

Read 3.6.  Seriously, read 3.6!

3.6 Part 1 (7, 13, 17, 21, 31) / 3.6 Part 1 - MORE Complete Solutions (in Calculus Book Solutions)

3.6 Part 2 (19, 41, 4950, 61, 62, 71-72) / 3.6 Part 2 - Enlarged Graphs Handout (distributed in class Wednesday in documents)

Optional: 3.6 - Curve Sketching Template (in documents; you could use this to help structure your work for 3.6 Part 1 and 3.6 Part 2, especially if you went to the Covington library and printed off lots of copies of this template!)

3.6 #7 - Worked Out Using Template (distributed in class and in documents)

Be sure your graphs show correct:

a) domain (and range)

b) x-intercepts and y-intercepts (points are set in STONE!)

c) vertical and horizontal asymptotes (and end behavior) (asymptotes are set in STONE!)

d) Symmetry (even functions are symmetric about the y-axis; odd functions are symmetric about the origin)

e) increasing/decreasing intervals

f) relative extrema (points are set in STONE!)

g) concave up/concave down intervals

h) points of inflection (points are set in STONE!)

Tutorial Videos:

3.6 - Curve Sketching with Calculus (Drawing Pretty, Pretty Pictures)

3.6 Supplemental - Derivatives of Absolute Value Functions

3.6 Pre - Even Functions and Symmetry

3.6 Pre - Odd Functions and Symmetry

3.6 Supplemental - Slant Asymptotes / Long Division of Polynomials

Professor Leonard Version / Patrick JMT Version / Krista King Version / Khan Academy Guy Version / Khan Academy UNIT

 

Friday 11/9/2018

3.6 Bellwork - Day 1 - Curve Sketching (in documents or click the link)

Correct with: 3.6 Bellwork - Day 1 - Solutions (distributed in class and in documents)

3.6 Supplemental Notes - f, f’, f” graphs (distributed in class and in documents) - Must be 100% complete for credit.  No replacements will be accepted for this assignment.

Correct with: 3.6 Supplemental Notes -  f, f’, f” graphs - SOLUTIONS (in documents; keep in mind that I did not include a scale on the y-axes for the problems at the end of the packet; that means the f, f', and f'' graphs could all have different y-scales!)

Tutorial Videos:

3.6 - Full Lecture with Professor Leonard - Curve Sketching

3.6 - Curve Sketching with Calculus (Drawing Pretty, Pretty Pictures)

3.4 - Sketching the Derivative from the Graph of a Function

3.4 - Sketching the 1st AND 2nd Derivative from the Graph of a Function

3.4 - Curve Sketching Using the 1st and 2nd Derivative of a Function

Professor Leonard Version / Patrick JMT Version / Krista King Version / Khan Academy Guy Version / Khan Academy UNIT

 

Thursday 11/8/2018 - Use DESMOS as a visualization tool in Chapter 3!

Read 3.4.

Read: 3.1-3.4 Notes - Additional Examples (distributed in class and in documents; shows basic AP formatted responses for these types of problems)

3.4 Notes - Second Derivative Test, Concavity, and Points of Inflection (in documents) / DESMOS Graph from Today's Lecture

3.4 (9, 14, 25, 35 (requires a calculator...actually it doesn't require a calculator, so if you want to make the problem more challenging, attempt it without a calculator!), 43, 45, 61-64, 67, 73, 91-94)

Confused by 61-94? consider watching some tutorial videos to supplement or replace those problems.

Correct with: 3.4 MORE Complete Solutions (in Calculus Book Solutions; shows full AP formatted justification statements!)

Tutorial Videos:

3.1-3.4 Supplemental - Graphing Derivatives on Desmos

3.4-Finding Concavity Intervals 

3.4-Finding Inflection Points

3.4-Identifying Local Extrema with the SECOND Derivative Test

3.4 - Sketching the Derivative from the Graph of a Function

3.4 - Sketching the 1st AND 2nd Derivative from the Graph of a Function

3.4 - Curve Sketching Using the 1st and 2nd Derivative of a Function

3.4 Supplemental (Not an AP Topic) - Solving a System of Equations using RREF

Professor Leonard Version / Patrick JMT Version / Krista King Version / Khan Academy Guy Version / Khan Academy UNIT Part 1 / Part 2

 

Wednesday 11/7/2018

Please AB share your 2.5-2.6 Test Detailed Corrections during class.

Solutions Link: 2.5-2.6 Test - Solutions & Rubric

Consult other students if you and you partner/group are at all stumped!

No additional homework.

 

Tuesday 11/6/2018 (On Wednesday, we will have our 2.5-2.6 Test AB share.)

Use DESMOS as a visualization tool in Chapter 3

3.3 Guided Notes (distributed in class and in documents)

Correct with: 3.3 Guided Notes - Filled in Version (in documents)

Read 3.3.

3.3 (21, 22, 27, 34, 37, 43, 44, 51, 61-68, 71-76),

3.3 (19, 33, 35, 45, 47)

Correct with: 3.3 MORE Complete Solutions (in Calculus Book Solutions; work shown with proper notation and AP Exam formatted justification statements)

3.3 Notes - Increasing and Decreasing Function and the First Derivative Test (in documents; not particularly well written; only for students who can't get enough of that sweet powerpoint action)

Tutorial Videos:

3.3 - Full Lectures Covering the Entire Section! - Note: College Board does NOT accept tables of signs as full justification for ANYTHING.

3.3-Finding Increasing and Decreasing Intervals

3.3-Finding Relative (Local) Extrema

3.1-3.4 Supplemental - Graphing Derivatives on Desmos

Professor Leonard Version (Expanded Version) / Patrick JMT Version / Krista King Version / Khan Academy Guy Version / Khan Academy UNIT Part 1 / Part 2

 

AB Homework Check - Monday 11/5/2018

1) 2.6 AP FRQ Practice + Score: +__/21 Detailed Corrections

2) 2.5-2.6 AP FRQ Practice - Bellwork (2015AB FRQ #6) + Score: +__/9 + Detailed Corrections

3) 3.1 (11-12, 15, 19, 21, 25, 33, 36, 41-42, 45, 54, 57-60, 63, 65-69)

4) 2.1-2.4 Retest Detailed Corrections (if you took the retest)

 

Monday 11/5/2018 Use DESMOS as a visualization tool in Chapter 3!

3.2 Notes - Mean Value Theorem and Rolle's Theorem (in documents)

Read 3.2.

3.2 (13, 15, 17-18, 21, 23, 37, 39, 41, 43, 46, 59, 64, 77-80)

&

2.5-2.6 Test Detailed Corrections using 2.5-2.6 Test - Solutions & Rubric (in documents)

We will AB share our test corrections at the start of class on Wednesday.

Tutorial Videos (be sure you know all of the "BIG" theorems before the AP Exam):

3.2 – Rolle’s Theorem

3.2 – Mean Value Theorem /  Full Lectures

3.2 - Mean Value Theorem on the AP Exam

Professor Leonard Version / Patrick JMT Version / Krista King Version / Khan Academy Guy Version

3.1-3.2 BROAD Topic - Existence Theorems

1.3 - Intermediate Value Theorem on the AP Exam

3.1 - Extreme Value Theorem

 

AB Homework Check - Thursday 11/1/2018 - But none of this work will be marked late.  Just get to it when you can.

1) 2.6 Part 1 (4, 11, 17-19, 21, 25, 31)

2) 2.6 Part 2 (24, 29, 33, 42, 44)

3) 2.6 Related Rates AP Packet 

4) 2.5-2.6 Test Form E – AB Version + Score: +__/20 + Detailed Corrections

 

Thursday 11/1/2018 - Use DESMOS as a visualization tool in Chapter 3! 

3.1 Intro - Closed Interval Method for Locating Absolute Extrema (distributed in class and in documents)

3.1 Notes - Extrema on an Interval (in documents) - After class, go through the rest of the notes ON YOUR OWN!

Read 3.1.

3.1 (11-12, 15, 19, 21, 25, 33, 36, 41-42, 45, 54, 57-60, 63, 65-69)

3.1 MORE Complete Solutions (in Calculus Book Solutions)

AND

2.1-2.4 Retest Detailed Corrections (if you took a retest; retests returned in class and solutions emailed to you)

Tutorial Videos:

3.1 – An Introduction to Finding Absolute Extrema on a Closed Interval / Full Lectures

Professor Leonard Version / Patrick JMT Version / Krista King Version / Khan Academy Guy Version / Khan Academy UNIT 

3.1 - Finding Critical Numbers & Critical Points

3.1 – Finding Absolute Extrema

3.1 - Extreme Value Theorem

3.1-3.4 Supplemental - Graphing Derivatives on Desmos

 

Wednesday 10/31/2018

2.5-2.6 Test (administered in class OR an early morning window of 6:15AM-7:35AM OR a late afternoon window of 2:20PM-3:45PM)

Your homework tonight is to prepare for the 3.1 lecture tomorrow.

I want you to be a day ahead rather than barely keeping up (or multiple days behind).

You can find a reading assignment, lecture notes, tutorial videos, a homework assignment, and solutions for tomorrow on the Next AB Calculus Assignment(s) Tab.

 

Tuesday 10/30/2018

If you need to take a few days off from calculus, take a few days off from calculus.

2015 AB FRQ #6 -> 2.5-2.6 AP FRQ Practice - Bellwork (in documents; be sure to work through this as it will prepare you for the 2.5 portion of the test tomorrow!; 2015 AB FRQ #6 Video Link)

Score yourself (+__/9) and perform detailed corrections.

2015 AB FRQ #6 - Solutions and Rubric (available in the front of the classroom and in documents)

Did you watch the video solutions from yesterday?  They are awesome!

Video Solutions: 2002 AB FRQ #5 (The Dreaded Cone Problem) / 2002 AB Form B FRQ #6 (Ships Around Lighthouse Rock) / 2.6 - Related Rates Ladder Problems

 

Monday 10/29/2018

If you need to take a few days off from calculus, take a few days off from calculus.

2.6 AP FRQ Practice (distributed in class and in documents)

Score: +__/21 and perform detailed corrections with: 2.6 AP FRQ Practice – Scoring Rubrics AND Solutions (in documents; use the video solutions below as well!)

Video Solutions: 2002 AB FRQ #5 (The Dreaded Cone Problem) / 2002 AB Form B FRQ #6 (Ships Around Lighthouse Rock) / 2.6 - Related Rates Ladder Problems

OPTIONAL Additional Practice Test

2.5-2.6 Test Form JB - 2016 (in documents or I can print you a copy)

Score and perform detailed corrections using: 2.5-2.6 Test Form JB - 2016 - Solutions and Rubrics (in documents)

Tutorial Videos:

2.5 - Finding Second Derivatives by Implicit Differentiation

2.6 - Related Rates Pythagorean Theorem Problems

2.6 - Related Rates Trig. Problems  

 

Friday 10/26/2018

2.5-2.6 Test Form E - Bellwork (in documents)

2.5-2.6 Test Form E – AB Version (distributed in class and in documents; E is for easy version in this case)

Score (+__/20) AND perform detailed test corrections using:

2.5-2.6 Test Form E - AB Version – Solutions (in documents; detailed hand-written solutions begin on page 3)

Use the various 2.5 and 2.6 FRQ practice we have done to help study for your 2.5-2.6 Test next Wednesday!  Monday/Tuesday will be devoted to 2.5-2.6 as well.

Tutorial Videos for the Practice Test:

2.5-Implicit Differentiation – Extra Examples

2.5 - Finding Horizontal and Vertical Tangent Lines Using Implicit Differentiation - Video 1

2.5 - Finding Horizontal and Vertical Tangent Lines Using Implicit Differentiation - Video 2

2.5 - Implicit Differentiation and Second Derivatives

2.6 - Related Rates Ladder Problems

 

Wednesday 10/24/2018– Thursday 10/25/2018 (Two Day Assignment)

2.1-2.4 Retest (administered during class Thursday); 2.1-2.4 Practice Tests

2.6 Bellwork with Solution (distributed in class and in documents)

2.6 Related Rates AP Packet (distributed in class; solutions attached; also posted in documents)

I suggest you try each problem and then make any corrections necessary using the attached solutions.

 

Tuesday 10/23/2018

Go through the rest of the slides: 2.6 Notes - Related Rates (in documents; slide show 24-7)

2.6 Part 2 (24, 29, 33, 42, 44)

Please use: 2.6 MORE Complete Solutions - Part 2 (in Calculus Book Solutions)

Still having trouble?  

I have posted video links below to go with every type of homework problem.  

You could even do the video problems instead of the assigned problems!  

Please watch videos for any problems that you get stuck on or confused about.

Tutorial Videos:

2.6 Pre - Similar Triangles

2.6 - Related Rates - Triangular Trough (for #24Video 1 / Video 2 / Many Videos

2.6 - Related Rates - Distance Between Two Vehicles (for #29Many Videos / Specific Video

2.6 - Related Rates - Shadow Problems (for #33)

2.6 - Related Rates - Angle of Elevation (for #42-#44)

2.6 - Related Rates - Introduction

2.6 – Related Rates

 

AB Homework Check - Monday 10/22/2018

1) 2.5 Part 1 (1, 5, 9, 13, 23, 27, 31)

2) 2.1-2.4 Test Detailed Corrections

3) 2.5 Bellwork – Day 2 – Including Solutions 

4) 2.5 Supplemental Notes - Horizontal and Vertical Tangent Lines 

5) 2.5 Part 2 (11, 32, 45, 49, 53, 57, 65, 74)

6) Chapter 2 Review (pg. 158-159) - (1, 8, 11a, 12a, 33, 39, 61, 65, (85 & 87 by hand))

7) 2.5 Day 3 – Introduction to FRQ and FRQ Scoring - Ancient Implicit Differentiation Problems + Score: +__/18 + Detailed Corrections

8) Chapter 2 AB/BC Test Prep Questions (1-8)

 

Monday 10/22/2018 

2.6 Bellwork - Day 1 (in documents)

2.6 Notes - Related Rates (in documents) - If you are absent today, I suggest leaning heavily on the tutorial video links below, perhaps starting with an intro video or two and then watching a full lecture.  

Read 2.6.
2.6 Part 1 (4, 11, 17-19, 21, 25, 31)

Please use: 2.6 MORE Complete Solutions - Part 1 (in Calculus Book Solutions)

Still having trouble?  I have posted video links below to go with every type of homework problem.  

You could even do the video problems instead of the assigned problems!  

Please watch videos for any problems that you get stuck on or confused about.

Tutorial Videos:

2.6 - Full Lecture w/ Professor Leonard

2.6 - Related Rates - Introduction

2.6 - Related Rates - Basic (for #4)

2.6 - Related Rates - Distance from the Origin (for #11Pre-Video / Version 1 / Version 2

2.6 - Related Rates - Spherical Volume (for #17)

2.6 - Related Rates - Volume/Surface Area of a Cube (for #18-#19)

2.6 Pre - Similar Triangles

2.6 - Related Rates - Conical Pile (for #21Near Identical Problem / Many Other Cone Videos

2.6 - Related Rates - Ladder Problems (for #25A / B (Area) / C (Angle) / Many Ladder Videos

2.6 - Related Rates - Running Around Baseball Diamond (for #31)

2.6 – Related Rates

2.6 - Related Rates - Full Lectures

 

Friday 10/19/2018

Chapter 2 AB/BC Test Prep Questions 1-8 (on the page after 162 in your textbook)

Correct with: Chapter 2 AB/BC Test Prep Questions – Complete Solutions (in Calculus Book Solutions)

Have trouble with Thursday's homework?  Watch: 1998 AB FRQ 6 Video Solution / 2000 AB FRQ 5 Video Solution

And/or access: 2.5 Day 3 – MORE Complete Solutions (in documents)

 

Thursday 10/18/2018

2.5 Bellwork - Day 3 (in documents; solutions included)

2.5 Day 3 – Introduction to FRQ and FRQ Scoring - Ancient Implicit Differentiation Problems (distributed in class and in documents; scoring rubrics and solutions included) - I require your score out of 18 for credit!  Perform detailed test corrections as if it were a test.

Video Solutions for both of the FRQ's1998 AB FRQ 6 Video Solution / 2000 AB FRQ 5 Video Solution

Tutorial Videos:

2.5 - Finding Horizontal and Vertical Tangent Lines Using Implicit Differentiation - Video 1

2.5 - Finding Horizontal and Vertical Tangent Lines Using Implicit Differentiation - Video 2

Solving an Equation on a TI83/84 - Intersect Method

Solving an Equation on a TI83/84 - Finding the Zeroes Method

 

Wednesday 10/17/2018

Please perform 2.1-2.4 Test Detailed Corrections by Friday.  2.1-2.4 Test - Solutions and Rubric

Chapter 2 Review - Pages 158-159, (1, 8, 11a, 12a, 33, 39, 61, 65, (85 & 87 by hand))
Choose 4 from each of the following sections - (15-30, 41-54, 69-80).  Alternatively, you could also choose problems from 103-110 if you want more implicit differentiation practice.

Chapter 2 Review Complete Solutions (in Calculus Book Solutions)

 

AB Homework Check - Tuesday 10/16/2018

1) 2.1-2.4 Quiz + Score: +__/72 + Detailed Corrections

2) 004AB Derivatives Practice Worksheet (Must be 100% complete for credit; both pages!!!)

3) 2.1-2.4 Quiz Targeted Review (see 2.1-2.4 Quiz - Complete Solutions)

4) Chapter 1 Retest Detailed Corrections (solutions emailed to you if you took the retest)

 

Tuesday 10/16/2018

On Tuesday, I will return your graded 2.1-2.4 Tests during class.  There is a 15% curve for the exam entered as a separate grade in Skyward.  To be eligible for the curve, you must have all 2.1-2.4 homework completed, including the 004AB Derivatives Practice Worksheet.

Assignment #1Perform 2.1-2.4 Test Detailed Corrections.  2.1-2.4 Test - Solutions and Rubric / Blank Copy

Video tutorials: 2.4 - Chain Rule - FULL LECTURES.

Assignment #2: 2.5 Bellwork – Day 2 – Including Solutions (distributed in class and in documents)

Assignment #3: 2.5 Supplemental Notes - Horizontal and Vertical Tangent Lines (distributed in class and in documents)

Assignment #4: 2.5 Part 2 (11, 32, 45, 49, 53, 57, 65, 74)

2.5 MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

2.5 - Implicit Differentiation and Second Derivatives

2.5 - Implicit Differentiation and Tangent Lines

2.5 - Implicit Differentiation and Horizontal Tangent Lines

2.5 - Implicit Differentiation and Vertical Tangent Lines

 

Monday 10/15/2018

2.5 Notes - Implicit Differentiation (in documents)

Read 2.5.

2.5 Part 1 (1, 5, 9, 13, 23, 27, 31)

2.5 MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

2.5 - Implicit Differentiation Full Lecture w/ Professor Leonard / 2.5 - Other Full Lectures

2.5-Implicit Differentiation – Basic Idea and Examples

2.5-Implicit Differentiation – Extra Examples

2.5-Implicit Differentiation – More Examples

2.5-Implicit Differentiation and Second Derivatives

 

Thursday 10/11/2018

2.1-2.4 Test (administered during class).  You can find practice tests on the AB Practice Tests Tab.

If you took the retest: Chapter 1 Retest Detailed Corrections (solutions emailed to you; retests returned during class)

 

Wednesday 10/10/2018

Finish the 004AB Derivatives Practice Worksheet (distributed in class previously and in documents)

Correct with: 004AB - Derivatives Practice Worksheet - Complete Solutions (in documents; detailed solutions begin on page 3)

This assignment must be 100% complete to receive credit & I will ask to see your work next Tuesday when I check homework.  

Tutorial Video:

Recommended by a student (Derek Kersey): 2.4 - Chain Rule Lecture with Professor Leonard

 

AB Homework Check - Tuesday 10/9/2018

1) Chapter 1 Test Detailed Corrections

2) Chapter 1 Test Targeted Review (see Chapter 1 Test Review Packet)

3) 2.2 (97-99) / 2.3 (13, 16, 26, 35, 37, 45, 54, 63)

4) 2.3 (75, 85, 97, 102, 105-108, 111-112, 118) / 2.4 (9, 10, 23, 29, 47, 51)

5) 2.4 Part 2 (11, 13, 27, 29, 57, 59, 61, 67, 75, 94, 101, 102, 104)

 

Tuesday 10/9/2018

2.1-2.4 Quiz Targeted Review (see 2.1-2.4 Quiz - Complete Solutions (in documents))

Additional optional practice exams: 

2.1-2.4 Test Form E / 2.1-2.4 Test Form E - Detailed Solutions

2.1-2.4 Test - Form N - 2016 AB / 2.1-2.4 Test - Form N - 2016 AB - Solutions and Rubric

(Completing an additional practice test and detailed corrections will count in place of any missing assignment from 1.1-2.4 except the 004AB Derivatives Practice Worksheet.)

 

Friday 10/5/2018 - Monday 10/8/2018 (Multi-Day Assignment)

Chapter 1 Retest (administered during class Monday)

 

2.1-2.4 Quiz (distributed in class and in documents)

Score your quiz (+___/72) and perform detailed quiz corrections as normal using: 

2.1-2.4 Quiz - Complete Solutions (in documents) - Don't forget your error analysis!

I want your score out of 72 points possible.  Take a fruit of the poisoned tree approach to scoring.  

For example, if you had to look up the derivative rule for tan(x), then mark all problems incorrect that involved that derivative when calculating your score.

Patrick JMT Chain Rule Series / Tutorial Link Recommended By A Student 

 

004AB Derivatives Practice Worksheet (distributed in class and in documents)

Correct with: 004AB - Derivatives Practice Worksheet - Complete Solutions (in documents; detailed solutions begin on page 3)

This assignment must be 100% complete to receive credit & I will ask to see your work.  

Tutorial Videos:

You can find a nice selection of tutorial videos for chain rule under the Thursday 10/4/2018 homework entry.

Recommended by a student: 2.4 - Chain Rule Lecture with Professor Leonard

Memorizing Derivative Rules!

5.4 - Derivatives of Exponential Functions with base e

 

Thursday 10/4/2018

2.4 Day 2 Bellwork - Additional Examples (distributed in class and in documents; solutions begin on page 3)

2.4 Part 2 (11, 13, 27, 29, 57, 59, 61, 67, 75, 94, 101, 102, 104)

2.4 MORE Complete Solutions (in Calculus Book Solutions)

Patrick JMT Chain Rule Series / Tutorial Link Recommended By A Student 

Tutorial Videos (Today, I want you to watch at least one of these videos!):

If you feel like you have a pretty good handle on chain rule already, then skip to "2.4 - Chain Rule - Harder Example #2."):

2.4 - Intro to Chain Rule - patrickjmt

2.4-Basic Chain Rule

2.4-More Chain Rule - patrickjmt 

2.4-Chain Rule with Product Rule, Ex1

2.4-Chain Rule with Product Rule, Ex2

2.4 - Chain Rule - Harder Example #1

2.4 - Chain Rule - Harder Example #2

2.4 - Chain Rule - Harder Example #3

2.4 - Horizontal and Vertical Tangent Lines Using a Product Rule/Chain Rule Example

 

Wednesday 10/3/2018

Chain rule is probably the most important topic for the entire course.  So, if you are absent today, I strongly suggest watching some full lectures on the topic.

2.4 Bellwork (in documents)

2.4 Notes - The Chain Rule for Differentiation (in documents; 

before you start the book assignment, I want you to work through the complicated example given on slides 7-12)

Worked through Slide 7 to Slide 12?  Now, WATCH THE VIDEO SOLUTION!

2.3 (75, 85, 97, 102, 105-108, 111-112, 118)

Read 2.4.

2.4 (9, 10, 23, 29, 47, 51)

Tangent Line Visualization with Desmos (You can edit f(x) to be any function you want!)

2.3 MORE Complete Solutions (in Calculus Book Solutions)

2.4 MORE Complete Solutions (in Calculus Book Solutions)

Patrick JMT Chain Rule Series / Tutorial Link Recommended By A Student 

Tutorial Videos:

2.5 - Full Lecture w/ Professor Leonard!

2.4-Basic Chain Rule / 2.4-Chain Rule with Product Rule, Ex1

2.4-Chain Rule with Product Rule, Ex2

2.4 - Chain Rule - FULL LECTURES

2.4 - Horizontal and Vertical Tangent Lines Using a Product Rule/Chain Rule Example

 

AB Homework Check - Monday 10/1/2018

1) 2.1 Day 1 (6, 8, 10, 17, 20, 21, 23, 24)

2) 2.1 Day 2 (25-35(o), 37-40, 81-86)

3) 2.2 Day 1 (Choose 4 problems from 3-23; Choose 2 problems from 31-37; Choose 2 problems from 39-53; 55, 57, 59)

4) 2.2 Day 2 (10, 13, 23, 35, 37, 43, 52, 55a/b, 63, 71-72, 88, 91, 111)

 

Monday 10/1/2018 - Tuesday 10/2/2018 (Two Day Assignment)

Chapter 1 Test Review Packet (in documents; tests will be returned in class Monday) - Please perform detailed test corrections and solve targeted review problems following the instructions in the packet!  If you prefer, you could work through your corrections on a blank copy: Chapter 1 Test - Blank Copy (in documents).

We will have our test review and AB share on Tuesday at the start of class, so please have your detailed test corrections done by then.

2.3 Bellwork (in documents)

Read 2.3.

2.3 (13, 16, 26, 35, 37, 45, 54, 63)

2.2 (97-99) - Hint: Can't get started on 97-99?  Read pages 113-114 first!

2.3 MORE Complete Solutions (in Calculus Book Solutions)

2.3 Notes - Product and Quotient Rules for Differentiation (in documents)

Tutorial Videos:

2.3 - Full Lecture w/ Professor Leonard!

2.3-Product Rule for Derivatives

2.3-Quotient Rule for Derivatives

2.3 - Product Rule and Quotient Rule - FULL LECTURES

 

Friday 9/28/2018

2.2 Bellwork Day 2 (in documents; solutions included)

During class, we finished going through the 2.2 Guided Notes - Differentiation Rules (distributed in class and in documents) from yesterday.

Correct with: 2.2 Guided Notes - Filled in Version (in documents)

2.2 Day 2 (10, 13, 23, 35, 37, 43, 52, 55a/b, 63, 71-72, 88, 91, 111)

2.2 Day 2 - MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

2.2-Basic Derivatives Using Power Rule (Patrick JMT)

2.2-Power Rule for Derivatives (Khan Academy, more videos listed at the left)

2.2 - Evaluating a Derivative at a Point Using the nderiv Function on a TI-83/84

2.2 - Finding the Equation of a Tangent Line - Specific Video

2.2 - Finding the Equation of a Tangent Line - Many Videos

2.2 - Finding the Horizontal Tangent Lines to a Curve

2.2 - Find k such that the line is tangent to the graph of the function.

 

Thursday 9/27/2018

2.2 Full Lecture with Professor Leonard

2.2 Bellwork - Day 1 (in documents)

2.2 Guided Notes - Differentiation Rules (distributed in class and in documents; we stopped on example 7a in class today; we will start with example 7c on Friday)

Correct with: 2.2 Guided Notes - Filled in Version (in documents)

Read 2.2.  It is essential you memorize all of the derivative rules for Chapter 2!  Make flash cards if necessary.  Until a formula is in your long term memory, write the formula down every single time you use it.

2.2 Day 1 (Choose 4 problems from 3-23;

Choose 2 problems from 31-37; Choose 2 problems from 39-53;

55, 57, 59)

Tutorial Videos:

2.2-Basic Derivatives Using Power Rule (Patrick JMT)

2.2-Power Rule for Derivatives (Khan Academy, more videos listed at the left)

2.2 - Proof of the Power Rule for Derivatives

2.2 - Proofs of the Trig. Derivative Rules

 

Wednesday 9/26/2018

2.1 Bellwork - Day 2 (in documents; solutions begin on slide 2)

Finish: 2.1 Guided Notes - The Derivative and the Tangent Line Problem (distributed in class and in documents)

Correct with: 2.1 Guided Notes - Filled in Version (in documents)

2.1 Day 2 (25-35(o), 37-40, 81-86)

2.1 MORE Complete Solutions (in Calculus Book Solutions)

2.1 Supplemental Notes - The Derivative and the Tangent Line Problem (in documents)

Tutorial Videos:

2.1 - Evaluating a Derivative at a Point Using the nderiv Function on a TI-83/84

2.1 - Limits Definition of the Derivative

2.1 - Definition of Differentiability

2.1 – Using the Definition of the Derivative to Find Limits

2.1 - Full Lecture w/ Professor Leonard!

 

AB Homework Check - Tuesday 9/25/2018

1) 1.5 (24, 27, 31, 39, 43, 51, 63, 64).  State your reasoning on 31, 39, 64.

2) 3.5 (19-41 (odd), 45, 53).

3) 3.5 Bellwork

4) Chapter 1 Practice Test + Score (_/26) + Detailed Corrections + Targeted Review

5) Chapter 1 Review (15, 17, 23, 27-31, 35, 39, 45, 55, 57, 64, 70).

6) Chapter 1 AB/BC Test Prep Questions, self select 4+ problems from 1-10.

 

Tuesday 9/25/2018 

2.1 Guided Notes - The Derivative and the Tangent Line Problem (distributed in class and in documents)

Correct with: 2.1 Guided Notes - Filled in Version (in documents)

Read 2.1.

2.1 Day 1 (6, 8, 10, 17, 20, 21, 23, 24)

2.1 MORE Complete Solutions (in Calculus Book Solutions)

2.1 Supplemental Notes - The Derivative and the Tangent Line Problem (in documents)

Tutorial Videos:

2.1 - Full Lecture w/ Professor Leonard!

2.1 - Limit Definition of the Derivative

2.1 - Definition of Differentiability

2.1 – Using the Definition of the Derivative to Find Limits

 

Monday 9/24/2018

Chapter 1 Test (administered during class)

If you are absent, you will make up the test during class, before school, or after school on your first day back.

Practice Test #1 / Solutions  //  Practice Test #2 / Solutions

 

Friday 9/21/2018

004AB - Quick Trig Review (distributed in class and in documents; entirely optional)

Optional Review Assignment (will count in place of any missing Chapter 1 assignment):

Chapter 1 Practice Test #2 (distributed in class and in documents; entirely optional)

Perform detailed test corrections (complete sentences required!) using: Chapter 1 Practice Test #2 - Solutions and Scoring Rubric (in documents)

Actual homework for Friday:

Turn to the page after 94 in your textbook. 

The page number will be labeled as AP1-1.  

Or access Chapter 1 AB/BC Test Prep Questions (in documents).

Chapter 1 AB/BC Test Prep Questions, self select 4+ problems from 1-10 that you feel would best prepare you for your Chapter 1 Test on Monday.

Correct with: Chapter 1 AB/BC Test Prep Questions - Complete Solutions (in Calculus Book Solutions)

 

Thursday 9/20/2018

Chapter 1 Practice Test Review Packet (in documents)

Perform detailed test corrections (complete sentences required!) and targeted review for all problems you lost points on.

For targeted review, self select 1-2 review problems similar to each of those you lost points on.

Be ready to AB share your test corrections at the start of class Friday.

Tutorial Videos:

1.3 - Limits Involving Absolute Value

3.5 - Evaluating Limits at Infinity Involving a Radical

1.3 - Evaluating Limits Analytically - Long

1.4 - One Sided Limits - Long

 

Wednesday 9/19/2018

Chapter 1 Practice Test (distributed in class and in documents)

Be sure to read the directions carefully.  Finish the Practice Test at home.  We will score the Practice Test Thursday during class.

Pg. 91, Chapter 1 Review (15, 17, 23, 27-31, 35, 39, 45, 55, 57, 64, 70)

Chapter 1 Review MORE Complete Solutions (in Calculus Book Solutions)

 

Monday 9/17/2018 - Tuesday 9/18/2018 (Two Day Assignment)

3.5 Bellwork (distributed in class on Day 2 and in documents)

Day 1: Read 1.5, 1.5 (24, 27, 31, 39, 43, 51, 63, 64).  State your reasoning on 31, 39, 64.

Day 2: Read 3.5, 3.5 (19-41 (odd), 45, 53).

1.5 Notes - Infinite Limits and 3.5 Notes - Limits at Infinity (in documents)

3.5 Notes - Limits at Infinity - Day 2 (in documents)

1.5 MORE Complete Solutions (in Calculus Book Solutions)

3.5 MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

3.5 Full Lecture with Professor Leonard

1.5 Pre/Supplemental - Factoring by Grouping (for #24)

1.5/3.5 Pre/Supplemental - Rewriting Absolute Value Functions as Piecewise Functions

1.5 - Infinite Limits

1.5 - Vertical Asymptotes and Infinite Limits

3.5 - Limits at Infinity

3.5 - Horizontal Asymptotes and Limits at Infinity

 

AB Homework Check - Monday 9/17/2018

1) 1.3 (1-37 (odd), 41-59 (odd), 65-83(odd), 85-88, 103-106) 

2) 1.2 Graphical Approach to Limits Worksheet

3) 1.4 (17, 23, 33-34, 47, 55, 61, 67, 91, 94, 107)

 

Thursday 9/13/2018 - Friday 9/14/2018 (Two Day Assignment)

1.4 Full Lecture with Professor Leonard

1.4 Bellwork – Day 2 – Piecewise Functions and Continuity (distributed in class on Day 2 and in documents)

Correct with: 1.4 Bellwork - Day 2 - Solutions (in documents)

Read 1.4.

1.4 (17, 23, 33-34, 47, 55, 61, 67, 91, 94, 107) (Be detailed in your approach, especially on Intermediate Value Theorem (IVT) problems.  Establish the preconditions before applying IVT!)

1.4 Notes - Continuity, One-Sided Limits, and Intermediate Value Theorem (in documents)

When the Complete Solutions or calcchat.com solutions don't address your concerns, consider accessing the MORE Complete Solutions:

1.4 MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

1.5 Pre/Supplemental - Rewriting Absolute Value Functions as Piecewise Functions

1.4 Pre/Supplemental - Solving Absolute Value Inequalities / 1.4 - One Sided Limits

1.4 - Limit Definition of Continuity / 1.4 - Intermediate Value Theorem

1.4 - The Greatest Integer (or Floor) Function / 1.4 - Greatest Integer Function on the TI83/84

1.4 Full Lecture with Professor Leonard

 

Wednesday 9/12/2018

1.3/1.4 Bellwork (distributed in class and in documents; solutions on last two pages)

1.2 Graphical Approach to Limits Worksheet (distributed in class and in documents)

Correct with: 1.2 Graphical Approach to Limits Worksheet Solutions (in documents)

Tutorial Videos:

1.3 - Limits of Difference Quotients

1.3 - Limits of Difference Quotients Including Delta x!

 

Monday 9/10/2018 - Tuesday 9/11/2018 (Two Day Assignment)

1.3 Bellwork - Day 2 (in documents)

1.2-1.3 Full Lecture with Professor Leonard

Read 1.3.

1.3 (1-37 (odd), 41-59 (odd), 65-83(odd), 85-88, 103-106) 

1.3 Notes - Evaluating Limits Analytically (in documents)

1.3 Notes - The Squeeze Theorem (in documents)

When the Complete Solutions or calcchat.com solutions don't address your concerns, consider accessing the MORE Complete Solutions:

1.3 MORE Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

1.3 - Evaluating Limits Analytically  1.3 - Evaluating Limits by Direct Substitution

1.3 - Evaluating Limits by Cancellation / 1.3 - Evaluating Limits by Rationalization

1.3 - Special Trigonometric Limits / 1.3 - Intermediate Value Theorem / 1.3 - Squeeze Theorem for Limits

1.3 - Limits of Difference Quotients 1.3 - Limits of Difference Quotients Including Delta x!

1.3 - Full Lecture w/ Professor Leonard!

 

AB Homework Check - Monday 9/10/2018

1) 000AB First Day of School Homework

2) 002AB Precalc Quiz & Detailed Quiz Corrections

3) P.2 (1-5(o), 19-25(o), 29-33(o), 53-57(o), 60, 61-65(o), 83).

4) P.3 (1, 3, 9, 11, 21, 22, 29, 35, 47, 49-54, 61, 63, 65, 71).

5) 1.1 (1-11).

6) 1.2 (1-31 (odd)).

 

Friday 9/7/2018

NEWP.3 MORE Complete Solutions – Selected Problems (in Calculus Book Solutions; a more detailed solution for all the P.3 problems we didn't get through during the Q&A session)

1.1 Full Lecture with Professor Leonard

1.2 Full Lecture with Professor Leonard

Read 1.2.

1.2 (1-31 (odd)).

1.2 Handout – An Introduction to Limits (distributed in class and in documents; answers are in the powerpoint below)

1.2 Notes - An Introduction to Limits (in documents)

Tutorial Videos:

1.2 Pre - Making a Table of Values Using Ask-x on a TI 83/84 Graphing Calculator

1.2 - Finding Limits from a Graph

1.2 - Estimating a Limit Using a TI 83/84 Graphing Calculator

1.2 - Finding Limits Numerically

 

Thursday 9/6/2018

1.1 Notes – A Preview of Calculus (in documents)

Read 1.1.

1.1 (1-11).

This is a conceptual assignment for the most part, rather than a computational assignment.

Don’t agonize over the answers!

This section is just meant to get you thinking…so just be sure to give each problem at least a good think.

You can find detailed solutions for book problems using the Calculus Book Solutions Tab on the left side of the screen.  The password was given in class.  Alternatively, you can find detailed solutions for odd book problems using calcchat.com or the calcchat phone app.

 

Wednesday 9/5/2018

P.3 Bellwork + Solutions (in documents)

Read P.3.

P.3 (1, 3, 9, 11, 21, 22, 29, 35, 47, 49-54, 61, 63, 65, 71).

Useful tool for visualizing transformations: Desmos Graphing Calculator

You can find answers for the odd problems in the back of your book.

If you don't have a copy of the textbook yet, just use P.3 Textbook Section (in documents).

You can find detailed solutions for book problems using the Calculus Book Solutions Tab on the left side of the screen.  The password was given in class.  Alternatively, you can find detailed solutions for odd book problems using calcchat.com or the calcchat phone app.

Still not understanding a certain problem?  Consider accessing: P.3 MORE Complete Solutions – Selected Problems (in Calculus Book Solutions).

 

Tuesday 9/4/2018

P.2 Classwork - Linear Equations Review (distributed in class and in documents; solutions on last two pages)

Read P.2.

P.2 (1-5(o), 19-25(o), 29-33(o), 53-57(o), 60, 61, 63, 65, 83); (o) = odd.

P.2 starts on page 10 of your textbook.  If you don't have a copy of the textbook yet, just use P.2 Textbook Section (in documents).

You can find detailed solutions for book problems using the Calculus Book Solutions Tab on the left side of the screen.  The password was given in class.  Alternatively, you can find detailed solutions for odd book problems using calcchat.com or the calcchat phone app.

 

Friday 8/31/2018

002AB Precalc Quiz (distributed in class previously and in documents)

Perform detailed quiz corrections with: 003AB Precalc Quiz Corrections (in documents)

Be prepared to AB (pair) share your corrections with a partner at the start of class next Tuesday.

 

Thursday 8/30/2018

000AB First Day of School Homework (distributed in class and in documents)

Bookmark this website!

Read: 001AB Syllabus (in documents)