AP Calc AB Homework - Block E

Generated Friday, August 12, 2022 at 11:41 pm. No class today. Enjoy the summer!
First day is August 18
Mathorama School Calendar Bell Schedule Socrative.com DeltaMath.com AP Classroom Calc Applets ck12.org KhanAcademy.org Blackbaud Portal Google Classroom Fr Chris's Mathorama Videos (homework answers) Mr. O'Connor Movies (concepts and examples) JMT Calc Videos
Class Date Schedule Topic Page Exercises Links Unit
3-1Thursday, Jan 05 Day 5Start of the 3rd Qtr:
  1. Syllabus
  2. About 39 classes done, and 30 to go before the AP Exam
  3. Khan Academy Goals: AP/College Calculus AB
    1. 20% Mastery By February 1, 2022 - (12 HW points)
    2. 50% Mastery By By March 1, 2022 - (12 HW points)
    3. 80% Mastery By April 25, 2022 - (12 HW Points)
Syllabus0
   5.1 The Natural Logarithmic Function: Differentiation In class:
  1. 5.1 Notes and Examples
  2. Practice 5.1 Logs (Delta Math)
  3. Go over FRQ Solutions on Semester 1 Exam
2.7
   Read 5.2 The Natural Logarithmic Function: Integration314-320Chapter 5.2 Videos6.8, 6.9
   Read 5.1 The Natural Logarithmic Function: Differentiation314-320Chapter 5.1 Videos2.7
   5.1 The Natural Logarithmic Function: Differentiation 3219-12, 13-15, 17*, 19*, 21, 23*, 25, 27, 29, 31, 33, 35, 39, 51, 55**, 59, 61, 63, 65**, 67, 75, 77*, 79**, 69**, 81* 85, 87*, 91 * means there is a video on that question on CalcView.com

** means there is a video at Fr Chis' Mathorama podcast

Proof of the Derivative of ln x

2.7
3-2Tuesday, Jan 10 Day 1In class
  1. 5.2 Notes and Examples
  2. AB HWQ 3-2 (∆Math)
  3. Practice 5.2 (∆Math)
2.7
   5.2 The Natural Logarithmic Function: Integration3305, 7, 9*, 13, 17**, 21**, 25**, 29*, 33*, 39, 49**, (50**), 51**, 55*, 57 61, 63, , 65**, 69*, 71**, 73*, 77** * means there is a video on that question on CalcView.com

** means there is a video at Fr Chis' Mathorama podcast

6.8, 69
   Read 5.3 Inverse Functions333-338Chapter 5.3 Videos3.3
   Read 5.4 Exponential Functions: Differentiation and Integration of ex342-347Chapter 5.4 Videos2.7, 6.8
3-3Thursday, Jan 12 Day 3In class
  1. 5.3 Notes and Examples: Inverse Functions
  2. 5.4 Notes and Examples:Derivatives and Integrals of ex
  3. AB HWQ 3-3
2.7
   5.3 Inverse Functions3395-8, 9*, 13, 16, 17, 19, 21, 25*, 29, 31, 33*, 35*, 41, 45, 47, 50**, 51*, 53**, 55, 57**, 63*, 67**, 71**, 73*, 753.3
   Practice Derivatives of Inverse Functions (5.3) 342-3472.7, 6.8
   5.4 Exponential Functions: Differentiation and Integration3483, 5, 7, 9*, 11-23 odd, 25, 27, 29*, 31, 33*, 35, 55, 57*, 59, 60, 61, 62, 63**, 64, 65**, 67, 69** odd, 139There are videos for questions 9, 29, 33, and 57 at CalcView.com2.7, 6.8
3-4Tuesday, Jan 17 Day 5In class
  1. 5.5 Notes and Examples: Bases Other than e and Applications
2.7, 6.8
   5.4 Exponential Functions: Differentiation and Integration Ones in ( ) are optional349(71), 73*, (79), 91, (92), 93*, 95, 99, 103, 109, 111*, 113, (115), 117, 123*, (125), 127 Asterisk means there is a video on that question on CalcView.com2.7, 6.8
   5.5 Read Bases Other than e and Applications352-357Chapter 5.5 Videos2.7, 6.8
   5.5 Bases Other than e and Applications3585, 7, (11), 13, 15, (17), 19, 21, 25, 29*, 33, (37), 39, 41*, 43, 47, (53), 55**, 59Asterisk means there is a video on that question on CalcView.comSlope field @ Desmos
2.7, 6.8
   Read 5.6 Indeterminate Forms and L'Hopital's Rule362-368Chapter 5.6 Videos4.7
3-5Thursday, Jan 19 Day 1In class
  1. 5.6 Notes and Examples: L'Hôpital's Rule
  2. Orders of Growth Poster
  3. The 7 indeterminate Forms: 0/0, ∞/∞, 0*∞, 1∞, 00, and ∞-∞
  1. L'Hôpital's Rule to the rescue!
  2. Proof of e
  3. Examples from Practice L'Hôpital's Rule (5.6) (∆Math)
  4. Is L'Hôpital's Rule a Magic Bullet?
2.7
   5.5 Bases Other than e and Applications358 61, 63, 65, 67*, 69, 71*, 73, 76**, 77, 79, 81**, 82**, (89* )Asterisk means there is a video on that question on CalcView.com
Slope field @ Desmos
2.7, 6.8
   5.6 L'Hôpital's Rule 3693, 7*, 13, 15, 19, 29*, 35, 43, 51*, 55, 79, 89, 90**L'Hopital WS
4.7
   Read 5.7 Inverse Trigonometric Functions: Differentiation373-3783.3, 3.4
   Read 5.8 Inverse Trigonometric Functions: Integration382-3866
3-6Monday, Jan 23 Day 3In class
  1. Review inverse trig functions
  2. 5.7 Notes and Examples: Inverse Trig Differentiation
  3. d/dx(arcsin(x), d/dx(arccos(x) , d/dx arctan(x)
  4. 5.8 Notes and Examples: Inverse Trig Integration
2.7
   5.7 Inverse Trigonometric Functions: Differentiation3795, 7*, 9, 11, 13, 15, 17, 21*, 25*, 27, 35, 41, 43*, 47, 51, 55, 57*, 67*, 71** Asterisk means there is a video on that question on CalcView.com3.3, 3.4, 6.8
   5.8 Inverse Trigonometric Functions: Integration The exercises in ( ) are optional, but watching the video would be insightful.3873, 5*, 9, 13, 23*, 31, 33**, (35*), (45*), (47*), 55, 61, 63*, 65**Asterisk means there is a video on that question on CalcView.com6
3-7Wednesday, Jan 25 Day 5Chapter 5 Review
  1. Ch 5 Test Checklist and Practice (Solutions)
  2. Ch 5 MC Practice (Note section L'Hop questions are at the end, starting again with 1-10)
4001, 5, 7, 9, 11, 13, 17, 19, 21, 13, 25, 29, 33, 35, 39**, 47, 49, 51, 53, 59, 61, 63, 65, 67, 75, 81, 89, 91, 93**, 101, 103, 107, 109**
3-8Friday, Jan 27 Day 1Chapter 5 Test
   Read 6.1 Slope Fields, Solutions to a Differential Equations406-409(410)Chapter 6.1 Videos7.3, 7.4, (7.5)
3-9Tuesday, Jan 31 Day 3In class
  1. 6.1 Notes and Examples
  2. Slope Field Generator (GeoGebra)
  3. Practice Slope Fields (∆Math)
  4. TI Program to help computing the slope for a point
  5. Ch 6.1 WS Matching Slope fields with diffEQs
Ch 6.1 WS
  1. Matching DiffEQs with their slope field Video
  2. Slope Field Generator (GeoGebra)
  3. Slope Field Generator (Desmos)
7.3, 7.4
   Read 6.2 Solving Differential Equations (not Growth and Decay Models)Chapter 6.2 Videos7.1, 7.2
   6.1 Slope Fields, Solutions to a Differential Equations 4115*, 7, 11*, 14**, 19*, 20**, 31*, 37* 43*, 46**, 47, 49, 51 Asterisk means there is a video on that question on CalcView.com7.3, 7.4,
3-10Thursday, Feb 02 Day 5Juniors Only: Precalc Review for BC Topics3.2
3-12Wednesday, Feb 08 Day 3In class
  1. 6.2 Notes and Examples
  2. Slope Field Generator (Desmos)
  3. Try AB 2011 FRQ 5
  4. Khan Academy Asssignment: Watch AB 2011 FRQ 5 Solution video by Feb 10
Ch 6.1 WS
  1. Slope Field Generator (GeoGebra)
  2. Proportional Slope Field Generator (Desmos Demo)
  3. Check your answer Graphically(Desmos)
7.3, 7.4
   6.2 Solving Differential Equations4203*, 5, 7, 9, 13, 14**, 15*, 17*, 19, 21*, 22, 23* Slope field Generator7.1, 7.2
   Read 6.3 Separation of Variables (Logistic Equations are BC only)423-428Chapter 6.3 Videos7.6, 7.7, (7.9)
3-13Friday, Feb 10 Day 56.3 Separable Differential Equations
In class
  1. Daily Quiz
  2. 6.3 Notes and Examples
  3. Slope Field Generator (Desmos)
  4. Ch 6.3 WS
Ch 6.3 WS
  1. Slope Field Generator (GeoGebra)
  2. Slope Field Generator (Desmos)
7.3, 7.4
   6.3 Separable Differential Equations 4285, 7*, 9, 11, 13, 15, 17, 19*, 21, 23, 25, 27, 29*, 33, 35, 37Asterisk means there is a video on that question on CalcView.com7.6, 7.7, (7.9)
3-14Tuesday, Feb 14 Day 1Chapter 6 Review
  1. Test 6 Practice ( Solutions to Test 6 Practice)
  2. Chapter 6 MC Practice(textbook)
  3. Slope Field Cards (Socrative)
Chapter 6.3 WS7.1-7.4
3-15Thursday, Feb 16 Day 3in class
  1. Chapter 6 Test
for HW
  1. Watch Topic 8.4/8.6 @AP Classroom
  2. Read 7.1 Area of a Region Between Two Curves
444-449Chapter 7.1 Videos8.4, 8.5, 8.6
3-16Tuesday, Feb 21 Day 5Read 7.2 Volume: The Disk Method / Solids With Known Cross sectionsChapter 7.2 Videos8.9, 8.10
   In class
  1. 7.1 Notes and Examples
    1. Visualize Vertical slices (Desmos)
    2. Visualize Vertical slices (Geogebra)
    3. Visualize Horizontal slices (Geogebra)
  2. Delta Math Examples
  3. Practice Area Between 2 Curves (7.1)
  4. 7-1b Area Worksheet
  5. 7-1c Area Worksheet
  6. 7-1d Area Worksheet
  1. Slope Field Generator (GeoGebra)
  2. Slope Field Generator (Desmos)
7.3, 7.4
   7.1 Area of a Region Between Two Curves4505, 7*, 9, 11*, 13, 15, 17*, 19, 21, 25, 29* 31, 33, 35, 37*, 39, 41 Asterisk means there is a video on that question on CalcView.com8.4, 8.5, 8.6
3-17Thursday, Feb 23 Day 17.2a Volume of Revolutions (The Disk/Washer Methods)4615*, 9* 13*, 17*, 21, 23*Asterisk means there is a video on that question on CalcView.com8.9, 8.10
   7.2a Volume of Revolutions: The Disk and Washer Methods

In class:
  1. DeltaMath HW Quiz 3-17 (on 7.1)

  2. 7.2a Notes and examples Fill in by watching the slides or video below together with the ∆Math examples:
    1. Slides and (9 min video) (on Mathorama Podcast)
    2. Class 3-17 Examples (7.2a) at ∆-Math examples (3 min video)

  3. Other helpful visualizations:
    1. Disk Visualization (x and y axes)
    2. Washer Visualization (radius = f(x) -g(x) )
    3. Volume of a Cone (plix via GC)
462Asterisk means there is a video on that question on CalcView.com8.9, 8.10
3-18Monday, Feb 27 Day 37.2 Volume: The Disk Method / Solids With Known Cross sections
  1. Practice Disks, Washers, Cross Sections (7.2) (∆Math) Due the day of the Chapter 7 Test
8.9, 8.10
   7.2b Volume of Revolutions / Solids With Known Cross sections 462 31, 32**, 37*, 49, 51, 57, 58**, 73, 74**Asterisk means there is a video on that question on CalcView.com8.9, 8.10
3-19Wednesday, Mar 01 Day 5Study for Ch 7 Test
  1. Test 7 Check List and Practice (Solutions )
  2. Q3-19 (7.1-7.2) on ∆Math
  3. The End Is Near
For HW
  1. Complete the Practice 7.1 and 7.2 assignments on DeltaMath.com
  2. Ch 7 Questions from AP (7 MCQ at AP Classroom)
3-20Friday, Mar 03 Day 1In class: For Homework:
  • FR 1 (In SFHS Portal) Include name and work for full credit.
1, 2 Calc Active, 3-6 No Calculator.
3-21Wednesday, Mar 08 Day 3Quarter 3 Exam - Thursday March 11, 2022 10:15

  1. The End Is Near (Schedule of Practice Exams)
  2. Go over FR 1 Scoring guidelines
  3. MC1 (45 MC questions from the entire course) Answers only is 2/4 max. Start in class, finish for HW.

Qtr 3 Exam Study Guide

0
3-22Friday, Mar 10 Day 5For Class
  1. The End Is Near Topic in Portals has all the posted questions and solutions
  2. Calculus Flash Cards at ∆Math
  3. HWQ 3-22 Can you recall the old topics?
  4. Start MC 2
For Homework
  • MC 2 (Show work for full credit) Due class 4-1
0

login Mathorama School Calendar Bell Schedule Socrative.com DeltaMath.com AP Classroom ck12.org KhanAcademy.org Blackbaud Portal Google Classroom Podcast Videos

Resources
  1. 11e HW Solutions @ CalcChat
  2. 11e HW Solution Videos @ calcView from the textbook (well done, but just the problems with * )
  3. Fr C's HW Solution Videos from the Mathorama podcast (just the problems with ** )
  4. 11e HW Solutions @ Quizlet (formerly Slader) Good for answers to even questions
  5. 11e HW Solution Videos @ numerade.com Some are better than others, but fairly complete
  6. 11e Lecture Videos @ Larson Calculus
  7. Class Sketchpad Files and Worksheets
  8. GeoGebra Apps
  9. Free Wolfram CDF Player
  10. 8e HW Solutions