Calc AB Homework - Block E

AMC 12 (grades 11 and 12): Tuesday November 14, 2023

AMC 10 (grades 9 and 10): Tuesday November 14, 2023

Top 5 of each represent St Francis in this national competition.

AMC 12 at AoPS

1. Delta Math: Practice EVT examples (class 2-1)
2. 3.1 Notes and Examples
3. Go over Qtr 1 Exam

1. Textbook Exercises
2. ∆ Math Lab 3.1: Extrema

• Practice EVT @ ∆Math
• Fermat's Thm
• Proof of Fermat's "not last" Thm

1. HW Quiz on Extrema (Candidates Test)
2. 3.2 Notes and Examples Rolle's Th and MVT
3. slides

1. Textbook Exercises
2. ∆Math Lab 3.2: MVT

1. ∆Math Quiz
2. Draw f from f'
3. 3.3 Notes and Examples Inc/Dec and First Derivative Test
4. slides

1. Textbook Exercises
2. ∆Math Lab 3.3 1st Der Test

1. MVT Practice
   
2. MVT WS2.

1. HWQ 2-4 (First Der Test) on ∆Math
2. 3.4 Notes and examples
3. Delta Math Lab 2-4: 2nd Der Test

1. Second Derivative Test Practice
   
2. 1^st and 2^nd Derivative Test Worksheet

1. Q 2-5 (Sec 3.1-3.4) ∆Math
2. Identify f, f', f''
3. Derivatives and the Shape of a Graph
4. Summary Poster for analyzing polynomials and rational functions (Ch 5 of HATT)
5. 3.5 and 3.6 Notes and Examples

1. Textbook Exercises
2. ∆Math Lab 3-5 and 3-6 :Function Analysis

1. 3.6 Curve Sketching Examples
2. 3.6 Curve Sketching Solutions

1. More 3.7 Optimization (Solutions)
2. Optimisation WS
3. Online Optimization Questions and Solutions at UC Davis
4. Optimization Practice

1. Video Examples from AP Classroom
   
   
2. Opt. Examples from Paul
   
   
3. Instructions and examples from Roberto
4. Examples of Optimization Word Problems

1. p 224 textbook problems
2. Lab 3-7: f, f', f'' with Particle Motion

1. Quiz 2-7 (paper)
2. 3.7 Notes and Examples (ppt) #2....
3. Particle Motion Problems (Answers)

1. Textbook Exercises
2. Work on Ch 3 Topics in KA, and/or Ch 3 Practice Test problems

1. Draw f from f'
2. Video Examples from AP Classroom
   
   
3. Opt. Examples from Paul
   
   
4. Instructions and examples from Roberto
5. Examples of Optimization Word Problems

• Function Matching Cards
• Intro to Antiderivatives {ppt} (5 min)
• Check List and Practice Problems for the Ch 3 Test ( Solutions)
• 50 Chapter 3 MC questions

For HW:

1. Text book problems
2. Study for Chapter 3 Test
3. Ch 3 ∆Math Labs due next class

1. Chapter 3 Test

• Watch Nancy Pi explain antidiffererntiation.
• Build up some Mastery Points on KA
• Textbook exercises

1. AP Classroom: 1 question check (last day before late fees)
2. 4.1 Notes and Examples
3. Slides 4.1 Antiderivatives and Indefinite Integrals
4. Practice Antiderivatives

• Do 4.1 p 255 Exercises
• Read 4.2 Area
• Lab 4-1

1. Chapter 4.2 Videos
2. 4.1 WS 1
3. 4.1 WS 2

1. HW Quiz on ∆Math
2. Intro to Area under a curve with Demos
3. Interactive Examples at ∆Math
4. 4.2 Notes and Examples: Area and Sigma notation
5. Riemann and Trapezoidal Sums Graphically (∆Math)
6. Practice Basic Antiderivatives (∆Math )

1. 4.1 exercises
2. 4.2 exercises
3. Lab 2-8: Sums and Area
4. (Lab 2-9: Intro to Slope fields ) Due class 2-14

1. Dr Jannetta's Geogebra Slope Field Generator
2. Nathan Grigg's Slope field generator
3. GraphFree can make slope fields

1. HWQ 2-12 (12 min)
2. 4.3 Limit Definition of Integral Examples (∆Math)
3. 4.3 Notes and Examples
4. Ch 4 Integral WS.pdf

1. Watch 3* and/or 7* video (no need to write it up)
2. Do p. 277 exercises
3. Lab 4.3 Practice (∆Math)
4. Continue to work toward 80% Mastery at Khan Academy (AP Calculus AB due Class 2-19)
5. Read 4.4

1. HWQ 2-13 (4.3) (∆Math)
2. 4.4 Examples ( FTC1, FTC2, Mean Value vs AROC) at ∆Math
3. 4.4a Notes and Examples
4. Proof of 4.4 Theorems (video) @ Mathorama Podcast (PDF version)(ppt here)

1. Do p 291 exercises
2. Watch Displacement vs Distance: 4.4 number 93* video
3. Lab 2-11: Definite Integrals (4.4)
4. Read 4.5

1. Proof of 4.4 Theorems (video) @ Mathorama Podcast (PDF version)(ppt here)
2. HWQ 2-14 (∆Math)
3. 4.4b Notes and Examples

1. AP Classroom: Personal Progress Check (PPC): Unit 6:MCQ 1 Upload your work to Portals, answer online at AP Classroom)
2. Lab 4-4: Definite Integrals
3. Read 4.5

1. Paper Quiz on 4.1-4.4
2. 4.5 Notes and Examples

1. Textbook Exercises
2. Lab 2-12: U-Sub

1. ∆Math Quiz 2-16
2. Ch 4 Test Checklist and Practice (Solutions)
3. Ch 4 MC Practice From the textbook (with answers)
4. Review Examples From the "Notes and Examples" (filled in ones available in the "Topics" section of Portals

1. page 306: 6 u-sub problems
2. Study for Test
   • Review Notes and Examples 4.1-4.5 (See Topics in Portals for filled in Notes and Examples)
   • ∆Math Practice 4.1-4.5 (good for practicing skills)
   • Ch 4 Checklist and Practice Problems (good for problems where you need to decide what skills are needed)

u-sub WS with solutions

Some Basic Review Problems

1. Chapter Checklist and Practice Problems (good for problems where you need to decide what skills are needed):
   1. Ch P-1 Practice ( Solutions )
   2. Ch 2 Practice ( Solutions )
   3. Test 3 Practice ( Solutions )
   4. Ch 4 Practice ( Solutions )
2. Multiple Choice Problems from the textbook (To gain confidence in choosing the answer from distractors):
   1. Qtr 1 MC (Ch P-2)
   2. Ch 2 MC Practice
   3. Ch 3 MC
   4. Ch 4 MC
   5. Sem 1 MC Questions (from an old edition of our textbook)

1. Sem 1 Exam Study Guide
2. Class 2-19 12 Questions on AP Classroom
   • Block C link
     
   • Block E link
     

3. Upload your work used to answer AP Classroom questions to Portals CW 2-19
4. Preview of the Sem 1 Exam First Page
5. Old Sem 1 Review Packet