Mr. Izzo's Math Classes
2024-2025

 
 

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Advanced Placement Calculus (BC)  2024-2025 

***AP Calc Workbook Link (HW, Answers, Helpful Videos)***

Week 20
Date Day Topic Notes Handouts Homework
1/20 Mon No School - MLK Jr. Day    
1/21 Tues 25 Point Assignment on Real AP Volume Questions - Can work with partner   25 Point Assignment
Real Volume AP Questions		  
1/22 Wed Review for Area/Volume Test      
1/23 Thurs Test - Area/Volume      
1/24 Fri Modeling with Differential Equations     Section 7.1
#s 1-12 all

Week 19
Date Day Topic Notes Handouts Homework
1/13 Mon Quiz - Area/Volume:
Disks/Washers/Shells		      
1/14 Tues Cross-Section Volume Cross Section Volume PowerPoint   Workbook Section 8.7
#s 1,2,5,6,10
1/15 Wed Cross-Section Volume:
Triangles and Semi-Circles		 Cross Section Volume PowerPoint   Workbook Section 8.8
#s 1-12 all
1/16 Thurs Arc Length Arc Length PowerPoint   Workbook Section 8.13
#s 1-5, 7,11
1/17 Fri Unit 8 - Area/Volume Multiple Choice Practice A on AP Classroom     AP Classroom Assignment Due Sunday before 10pm

Week 18
Date Day Topic Notes Handouts Homework
1/6 Mon Mr. Izzo - Out Sick      
1/7 Tues Volumes of Revolution - Disks and Washers Volumes of Revolution Formulas Practice Volume Questions over the x-axis Workbook Section 8.9
#s 2,3,4,

Workbook Section 8.11
#s 1,2,5,6,7

REMINDER: MATH MEET TODAY!!
1/8 Wed 3rd Volume Method - Cylindrical Shells Volumes of Revolution Formulas  Classwork Assignment Given the bounded region:
y = -x2+9, y = 2x + 1, x≥ 0.

Find volume if region is revolved around y-axis
1/9 Thurs Disks/Washers/Shells rotated about Axes OTHER than the x or y axis Class Problems Workbook Section 8.10
#s 1,4
Workbook Section 8.12
#s 1d, 2d
1/10 Fri Review Disks/Washers/Shells   Workbook Unit 8 Review
#s  1,2,4,6,7

Week 17
Date Day Topic Notes Handouts Homework
12/30 Mon No School - Holiday Break      
12/31 Tues No School - Holiday Break      
1/1 Wed No School - Happy New Year      
1/2 Thurs Begin Volume Unit:
Start with Area Between Two Curves		 Area Between Two Curves Power Point Workbook Section 8.4
#s 4,5,7,12,14
1/3 Fri Continue Area Between 2 Curves:
- Area in terms of "y" not "x"
- Regions where top curve switches		 Area Between Two Curves Power Point Workbook Section 8.5
#s 1,2,4

Workbook Section 8.6
#s 1,3,4,7

Week 16
Date Day Topic Notes Handouts Homework
12/16 Mon Introduce Integration By Parts Partial Fractions and Integration By Parts Power Point Workbook Section 6.11
#s 1-5 all, 11,12
12/17 Tues Harder Integration By Parts
- Chart Problems
- Never Ending Loop Questions		 Partial Fractions and Integration By Parts Power Point ∫ e2xcos(3x) dx Workbook Section 6.11
#s 10,13
12/18 Wed Quiz - Harder Integration Techniques      
12/19 Thurs No Class -
Honor Society Field Trip to NYC		      
12/20 Fri Festive Day to Relax!!  

Week 15
Date Day Topic Notes Handouts Homework
12/9 Mon Motion (S/V/A) of Parametric Equations Parametric PowerPoint   Workbook Section 9.6
#s 1,2,3,6,7,9,16
12/10 Tues Review for Parametric Equations Test   Review Sheet Study!
12/11 Wed Quiz - Parametric Equations      
12/12 Thurs AP Progress Check - Unit 9 Multiple Choice Questions - Polar, Parametric, and Vectors     Assignment in AP Classroom Due Monday Morning
12/13 Fri Using Long Division and Completing the Square to Simplify Seemingly Impossible Integrals     Workbook Section 6.10
#s 1,2,3,4,11

Week 14
Date Day Topic Notes Handouts Homework
12/2 Mon Review for Area Approximation and Definition of Integral Quiz Review Sheet Finish Review Sheet and Study!
12/3 Tues Quiz - Area Approximation and Definition of Integrals      
12/4 Wed Introduce Parametric Equations Parametric PowerPoint   Workbook Section 9.1
#s 1,3,4,5,7
12/5 Thurs Continue Parametric Equations:
2nd derivative and Arc Length 		Parametric PowerPoint   Workbook Section 9.2
#s 1,6,7

Workbook Section 9.3
#s 1,4,8,10
12/6 Fri Derivatives and Integrals of Vectors Derivatives and Integrals of Vectors   Workbook Section 9.4
#s 1,6,9, try 11

Workbook Section 9.5
#s 1, 4, 6, try 7

Week 13
Date Day Topic Notes Handouts Homework
11/25 Mon Properties of Definite Integrals Properties of Definite Integrals   Workbook Section 6.6
#s 1-4 all, 12-19 all
11/26 Tues        
11/27 Wed No School -
Happy Thanksgiving!!		      
11/28 Thurs No School -
Happy Thanksgiving!!		      
11/29 Fri No School -
Happy Thanksgiving!!		      

Week 12
Date Day Topic Notes Handouts Homework
11/18 Mon Polar Arc Length Polar Arc Length
Power Point 		  None
11/19 Tues Area Approximations Using Graphs and Finite Rectangles Practice Problems Workbook Section 6.1
#s 1, 2, 3, 7

Workbook Section 6.2
#s 3,4
Click Here for Old AP FRQs:
2007 AB 5
2008 AB 2
11/20 Wed Riemann Sums and Infinite Rectangles:
1) Approximation
2) Infinite "n" rectangles
3) Converting back and forth from summation notation and integral notation		 Power Point   Workbook Section 6.2
# 11

Workbook Section 6.3
#s 1,3,4,5,7,8
11/21 Thurs More work with area approximations and "n" rectangles

Accumulation Functions and the 2nd Fundamental Theorem of Calculus		 Accumulation Functions and the 2nd Fundamental Theorem of Calculus Practice Sheet Workbook Section 6.4
#s 1,3,6,8,10,12,14,17,18,19
11/22 Fri Behavior of Accumulation Functions - Treating an accumulation function like a derivative graph Accumulation Functions and the 2nd Fundamental Theorem of Calculus   Workbook Section 6.5
#s 2, 6, 7
Try #3 using calculator

Week 11
Date Day Topic Notes Handouts Homework
11/11 Mon No School - Veterans Day      
11/12 Tues Polar Area Between 2 Curves Polar Area Power Point   Workbook
Section 9.9
#s 1,4,7
Section 9.8
#s 2,3,5
11/13 Wed Begin Review for Polar Exam   Polar Review Sheet Math Meet - Today - 2pm
11/14 Thurs Continue Reviewing for Polar Exam   Polar Review Sheet  
11/15 Fri Test - Polar      

Week 10
Date Day Topic Notes Handouts Homework
11/4 Mon Leminscates and the Spirals Limacon PowerPoint Polar Practice Packet Finish Packet
11/5 Tues No School for Students -
Election Day		      
11/6 Wed Review for Polar Graphs and Equations Quiz   Polar Review Sheet Study!
11/7 Thurs Quiz - Polar Graphs and Equations  
11/8 Fri Begin Polar Integration -
Area Inside a Polar Curve 		Polar Area Power Point   Workbook
Section 9.8
#s 1,4,6

Week 9
Date Day Topic Notes Handouts Homework
10/28 Mon Lagrange's Error Bound Lagrange Error Power Point   2018 BC Exam
Free Response Question #6!
10/29 Tues Alternating Series Error Bound Alternating Series Error Bound Power Point   Workbook Section 10.10
Practice #s 1,3,7,8,9
10/30 Wed Introduce Polar Coordinates
Transferring Polar Equations to Rectangular Equations and Identifying		 Polar Intro Power Point Polar Coordinates Worksheet Page 728
#s 3a-b,4a-b,7a,7b,8a,8b, 10a,c

Workbook Section 9.7
#s 1,2,3,4
10/31 Thurs Polar Circle and Rose Curves Families Polar Circle and Rose Curve Power Point   Page 728-729
#s 24,25,48,50
11/1 Fri Limacons and the Cardioid Limacon PowerPoint   Page 728
#s 17a,c,18a,20a,26,28

Week 8
Date Day Topic Notes Handouts Homework
10/21 Mon Converting a Maclaurin or Taylor Polynomial to a power series and then checking for convergence Power Series Convergence Power Point   Workbook Section 10.11
Practice #s 3,4,6,7,8,9,10,11,15
Memorize the Four Maclaurin Power Series Formulas and their intervals of convergence!
10/22 Tues Finish Maclaurin and Taylor Series     Workbook Section 10.14
#s 6, 10,11,12,14,15

Quiz on memorization of Maclaurin/Taylor series tomorrow
 
Test - Friday on Interval of Convergence and all Maclaurin/Taylor
10/23 Wed Finish Maclaurin and Taylor Series   Wrap-Up Activity for Maclaurin and Taylor Series Finish worksheet
Test Friday
10/24 Thurs Review for Test   Review Sheet Study!!
10/25 Fri Test - Interval of Convergence and Maclaurin/Taylor Polynomials      

Week 7
Date Day Topic Notes Handouts Homework
10/14 Mon No School - Columbus Day      
10/15 Tues Begin Interval of Convergence Interval of Convergence Power Point   Workbook Section 10.13
Practice
#s 1,3,4,9,12,14
10/16 Wed Continue Interval of Convergence   Practice Problems Finish Practice Problems

Workbook Section 10.13
#s 2,5,6,7,8,10,13,16,17
10/17 Thurs Interval and Radius of Convergence Practice   Practice Problems Worksheet 2 Finish Worksheet
10/18 Fri Maclaurin Polynomials - Day 1 Maclaurin and Taylor Polynomials Power Point   3rd degree approx for f(x) = ln (1+x)

Also Workbook Section 10.11
Practice #s 1,2

Week 6
Date Day Topic Notes Handouts Homework
10/7 Mon The Alternating Series Test Alternating Series Test Notes   Page 673
#s 1,3

Workbook Section 10.7
Practice and Test Prep
#s 1-14 all
10/8 Tues Practice Mixed Convergence Tests   Mixed Convergence Test Practice Sheet 1. Finish Sheet
2. Make sure you are enrolled in AP Classroom
3. Test Tomorrow
10/9 Wed Emergency Lesson:
Inverse Trig Derivatives
Because of Senior Class Picture		 Inverse Trig Derivative Formulas   Workbook Section 3.4
#s 1-10 all, 11, 17,18
10/10 Thurs Test - All Convergence Tests      
10/11 Fri Absolute and Conditional Convergence Absolute and Conditional Convergence PowerPoint   Workbook Section 10.9
 Practice
 #s 1-10 all

Quiz Tuesday on Inverse Trig Derivatives

Week 5
Date Day Topic Notes Handouts Homework
9/30 Mon TEST - Convergence and Divergence of Series      
10/1 Tues More Convergence Tests -
Root Test, Comparison Test		 Root-Comparison-LimitComparison PowerPoint Notes   Page 664
#s 17,18,5,8,4
10/2 Wed Mixed Practice - Convergence Tests: everything from limit test to comparison test Mixed Convergence Questions   Page 664
#s 7,26,33,38
10/3 Thurs No School:
Rosh Hashana		      
10/4 Fri No School:
Rosh Hashana		      

Week 4
Date Day Topic Notes Handouts Homework
9/23 Mon More Practice with the Integral Test Integral Test PowerPoint Convergence Rules - SO FAR Workbook Section 10.4
Practice #s 8,11,12

Back to "P" series
Workbook Section 10.5
Practice #s 8,9,10

Page 657
#s 9,10,11,13,14
9/24 Tues Ratio Test Ratio Test Notes   Page 664
#s11-15
9/25 Wed Practice All the Convergence Tests we know so far: Divergence, Infinite Geometric, P-Series, Integral, Ratio Mixed Practice 1   Workbook Section 10.8
#s 2,4,6,8,9
9/26 Thurs Mixed Practice of Series Convergence   Review Sheet Workbook Practice
Mid-Unit 10 Review
Page 513
#s 2,5,6,8,9,12,15,17,18

Begin Review Sheet
9/27 Fri Finish Review Sheet in Groups     Do Workbook Homework if you "forgot"

Week 3
Date Day Topic Notes Handouts Homework
9/16 Mon TEST - Sequences, Monotonicity, Geometric Series.     Don't Forget Limit Packet is Due Tomorrow!!
9/17 Tues Begin Series Convergence Rules Convergence of Infinite Series PowerPoint   Workbook
Section 10.3 Practice
#s 1,2,3,4,5,6

Page 657
# 3: a-d
# 5 a-d
#18
9/18 Wed Go over Sequence Test

More work with p-series
 Convergence of Infinite Series PowerPoint   Section 10.5 Practice
#s 1,2,3,4,5
9/19 Thurs Review "U-Sub" Integration from last year U-Sub Integration Practice   Workbook
Section 6.9 Practice
#s 1-20

Page 372
#s 11,15,19,27,35,41

Sequences Re-Take Quiz: 2:00-2:30pm - Please refer back to original review sheet and answer key from Friday 9/13
9/20 Fri Series Convergence:
The Integral Test		 Integral Test PowerPoint   Workbook
Section 10.4 Practice
#s 2,3,4,5,7,9,10,13
Try #6 it's a nasty u-substitution

Textbook Page 657
#7

Week 2
Date Day Topic Notes Handouts Homework
9/9 Mon Introduce Monotonicity:
Inc/Dec, Non-Inc/Non-Dec		 Monotonicity Power Point Sequence Day 3 Warm-Up Exercises Page 641
Quick Check:
 #s 1 and 2
9/10 Tues Continue Monotonicity:
Eventually Inc/Dec
Proving by all 3 methods		 Monotonicity Power Point   Page 641
Exercise Set 10.2
#s 1,2,3,7
9/11 Wed Practice Monotonicity

Introduce Series
Using Partial Fractions and Inspection to determine convergence of a sequence		 Series Introduction   Questions 2 and 3 from the second page of today's notes
9/12 Thurs Continue Series - Geometric Series Series Introduction Page 650
#s 3, 7, 13		 Workbook
Section 10.2 Practice
#s 2,6,8,10,11

Begin Review Sheet.
Come in tomorrow with questions
9/13 Fri Review for Quiz   Review Sheet STUDY FOR Quiz Monday!

Review Sheet Answer Key

Week 1
Date Day Topic Notes Handouts Homework
9/2 Mon No School -
Labor Day		      
9/3 Tues No Class -
Superintendent's Conference Day		      
9/4 Wed No Class -
Superintendent's Conference Day		    
9/5 Thurs Intro to Class

Textbooks

Begin Sequences - Expanding and writing sequences in bracket notation		 Intro to Sequences PowerPoint Course Syllabus Page 633
#s: 5, 6, 10, 12,14, 18, 22,
23, 25, 27, 29
**DON'T WORRY about Convergence/Divergence Yet!!!!! Just do terms and general terms

Have Parents sign and print
Parent Letter
9/6 Fri Convergence and Divergence of Sequences Sequence Convergence and Divergence PowerPoint Page 633
#s: 5, 6, 10, 12,14, 18, 22,
23, 25, 27, 29
These are the same problems as last night, but now see if each sequence converges or diverges
Also Page 634-635
#s 42, 45