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)

Contract

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. Vector Draw
2. SwimSim
3. Magnitude and Direction
4. Vector Addition
5. Vector Subtraction
6. Vector WS
7. Intro to Vectors

1. 6.2 Notes and Examples
2. Slope Field Generator (Desmos)
3. Try AB 2011 FRQ 5 part (c) There is a KA Video explaining after you try.

1. 6.2 Textbook problems
2. Delta Math Lab 3-8: Diff. E.Q.s

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. Daily Quiz
2. Test 6 Practice ( Solutions to Test 6 Practice)
3. Chapter 6 MC Practice(textbook)

1. Test 6 Practice ( Solutions to Test 6 Practice)
2. Chapter 6 MC Practice(textbook)
3. 2011 AB 5
4. 2014 AB 6.
5. Slope Field Cards (Socrative)

Chapter 6.3 WS

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. 7-1b Area Worksheet
4. 7-1c Area Worksheet
5. 7-1d Area Worksheet

1. Textbook exercises
2. Lab 3-9 Area Between 2 Curves (7.1) (∆Math)

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. Examples (Press Show examples button or type your own functions)
   2. Disk Visualization (x and y axes)
   3. Washer Visualization (radius = f(x) -g(x) )
   4. 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. Geogebra example
  4. Classroom Activity
• Qtr 4 Project: 3D of a "7.2" type

1. Lab 3-11: Volumes of Solids on know Cross Sections (7.2b)
2. Textbook exercises

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

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

1. Study with the Practice Problems, DeltaMath, Khan Academy, Notes and Examples, etc.
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. Go over FR 1 Scoring guidelines
2. MC 1 (45 MC questions that covers the entire course) Start in class, finish for HW. MCQ Grading rubric:
   • 4/4:Name, supporting work for choices for at least 80% of the questions.
   • 3/4: Like 4/4, but no name on work
   • 2/4: Name, but over 20% have no supporting work for the choice made
   • 1/4: Some questions not attempted (no choice, though answers are provided)
   • 0/4: No Name and over 20% have no supporting work, or missing or late without an excused absence.
3. The End Is Near Topic in Portals has all the posted questions and solutions
4. Calculus Flash Cards at ∆Math

• MC 1 (Show 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)

1. Quiz (5 MC, Calc Active, 15 min)
2. Work on KA Mastery
3. Work on FR 2. See schedule here: The End Is Near

For Homework

• FR 2 (Due to Kairos, Block E Due Mar 27, Block B Due Mar 28)