AP Calc AB Homework - Block E

1. Syllabus
2. About 39 classes done, and 30 to go before the AP Exam
3. Khan Academy Goals: AP/College Calculus AB
   1. 65% Mastery By February 21, 2023 - (15 HW points)
   2. 85% Mastery By By March 15, 2023 - (15 HW points)
4. New for SF: 3-D Project (Ch 7)

1. 5.1 Notes and Examples
2. Lab 3.1: Logs (Delta Math)
3. Go over FRQ Solutions on Semester 1 Exam

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

Proof of the Derivative of ln x

1. 5.2 Notes and Examples
2. AB HWQ 3-2 (∆Math)
3. Lab 3-2 (∆Math)

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

1. 5.3 Notes and Examples: Inverse Functions
2. 5.4 Notes and Examples: Derivatives and Integrals of e^x

1. Textbook exercises from 5.3 and 5.4
2. Lab 3-3: Inverse functions have reciprocal slope

1. Quiz on 5.2 & 5.3 (∆Math)
2. 5.5 Notes and Examples: Bases Other than e and Applications

1. Textbook exercises from 5.4 and 5.5
2. Lab 3-4: Bases other than e

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. Textbook exercises from 5.5 and 5.6
2. Lab 3-5

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?

1. HWQ 3-6 (∆ Math)
2. Review inverse trig functions
3. 5.7 Notes and Examples: Inverse Trig Differentiation
4. d/dx(arcsin(x), d/dx(arccos(x) , d/dx arctan(x)
5. 5.8 Notes and Examples: Inverse Trig Integration

1. Textbook exercises 5.7, 58.
2. Lab 3-6: Inverse Trig

1. No calc paper quiz
2. Ch 5 Test Checklist and Practice (Solutions)
   
3. Ch 5 MC Practice (Note section L'Hop questions are at the end, starting again with 1-10)

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

1. Matching DiffEQs with their slope field Video
   
2. Slope Field Generator (GeoGebra)
3. Slope Field Generator (Desmos)

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

1. Slope Field Generator (GeoGebra)
2. Proportional Slope Field Generator (Desmos Demo)
3. Check your answer Graphically(Desmos)

1. Daily Quiz
2. 6.3 Notes and Examples
3. Slope Field Generator (Desmos)
4. Ch 6.3 WS

1. Slope Field Generator (GeoGebra)
2. Slope Field Generator (Desmos)

1. Test 6 Practice ( Solutions to Test 6 Practice)
2. Chapter 6 MC Practice(textbook)
3. Slope Field Cards (Socrative)

1. Chapter 6 Test

1. Watch Topic 8.4/8.6 @AP Classroom
2. Read 7.1 Area of a Region Between Two Curves

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)

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)

• 7.2b Notes and Examples
  1. Volumes of known cross sections (Wolfram)
  2. Solids of Known Cross Sections (Geogebra)
  3. Volume of a Revolution (Disk method)
  4. Volume of a disk Plix Demo
  5. Examples (graph only)
  6. Geogebra example
• Qtr 4 Project: 3D Poster of a "7.2" type

1. Practice Disks, Washers, Cross Sections (7.2) (∆Math) Due the day of the Chapter 7 Test

1. Test 7 Check List and Practice (Solutions )
2. Q3-19 (7.1-7.2) on ∆Math
3. The End Is Near

1. Complete the Practice 7.1 and 7.2 assignments on DeltaMath.com
2. Ch 7 Questions from AP (7 MCQ at AP Classroom)

• Ch 7 MC Practice from the textbook (answers in at the end)
• Chapter 7 Questions from Old AP Exams (Free Response)>
• Unit 8 MCQ Part A and B at AP Classroom

• Chapter 7 Test (60 min)
• The End Is Near

• FR 1 (In SFHS Portal) Include name and work for full credit.

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

• MC 2 (Show work for full credit) Due class 4-1

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.