Mr. Izzo's Math Classes
2022-2023

 
 

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Advanced Placement Calculus (BC)  2022-2023 

Week 35
Date Day Topic Notes Handouts Homework
5/22 Mon Hand in Estimation Projects      
5/23 Tues Work on Top Ten Project      
5/24 Wed Work on Top Ten Project      
5/25 Thurs Present Top Ten Projects     Final Packet in class next week
5/26 Fri No School -
Memorial Day Weekend 		   

Week 34
Date Day Topic Notes Handouts Homework
5/15 Mon Continue Estimation Project   Estimation Project Guidelines  
5/16 Tues Finish Estimation Project   Estimation Project Guidelines  
5/17 Wed Top Ten Project      
5/18 Thurs Top Ten Project     Estimation Project Due Monday 5/22
Top Ten Project Due Thursday 5/25
5/19 Fri COLLEGE PRIDE DAY!  

Week 33
Date Day Topic Notes Handouts Homework
5/8 Mon AP EXAM DAY....
GOOD LUCK!!!!!		    
5/9 Tues Recovery Day      
5/10 Wed Begin Estimation Project   Estimation Project Guidelines  
5/11 Thurs Estimation Project   Estimation Project Guidelines  
5/12 Fri Mr. Izzo Absent -
Boston Field Trip		      

Week 32
Date Day Topic Notes Handouts Homework
5/1 Mon AP Review
Multiple Choice Sheet 9

Multiple Choice Sheet 10

BC Multiple Choice Sheet 4		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 AP Classroom:
2019 Practice FRQs by Thursday
5/2 Tues AP Review AB Mult Choice 11

AB Mult Choice 12

BC Mult Choice 5		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 AP Classroom:
2019 Practice FRQs by Thursday
5/3 Wed AP Review
Click HERE for AP Review with Mr. N - A Great 40 minute YouTube video with AP type problems, and explanations/solutions		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 Bring your laptops Thursday and Friday!! 

BC Cram Sheet! Scroll down for important formulas!
5/4 Thurs AP Review
Click HERE for AP Review with Mr. N - A Great 40 minute YouTube video with AP type problems, and explanations/solutions		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 Bring your laptops Thursday and Friday!! 

BC Cram Sheet! Scroll down for important formulas!

AP Classroom:
2019 Multiple Choice by Sunday Afternoon
5/5 Fri AP Review
AP Free Response Question Banks:
Click here for AB
Click Here for BC		 Bring your laptops Thursday and Friday!! 

BC Cram Sheet! Scroll down for important formulas!

AP Classroom:
2019 Multiple Choice by Sunday Afternoon

AP Review - Saturday 5/6
8:00AM - 10:45AM
Room 604

No Math Studying AFTER Sunday at 4pm. Relax and Unwind!!

Week 31
Date Day Topic Notes Handouts Homework
4/24 Mon Part II FRQs
2022 BC FRQ #6

Multiple Choice Sheet 1
 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2021 BC FRQ #6
4/25 Tues Series and Sequences Review

1) Go over 2021/2022 BC FRQ #6
2) Use LaGrange to find max error of the 3rd degree polynomial for sinx when  0<x<0.1
2018 BC FRQ #6

Multiple Choice Sheet 2

Power Series Convergence Power Point		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2017 BC FRQ #6
4/26 Wed Series and Sequences Review

1) Go over 2017 BC FRQ #6		 Power Series Convergence Power Point

 2019 BC FRQ # 6		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 BC Multiple Sheet #2
4/27 Thurs Series and Sequences Review

1) Go over 2019 BC FRQ #6		 Power Series Convergence Power Point AP Free Response Question Banks:
Click here for AB
Click Here for BC		  
4/28 Fri Advanced Integration Review

1) Any Questions on any Recent Series FRQ #6s????		 Multiple Choice Sheet 3 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2022 FRQ #s 1 and 2

Optional Review Session:
My classroom - Saturday 4/29 8:45am-11:00am
Afternoon Review Session is CANCELLED because the high school building closes at 12 noon on weekends

Week 30
Date Day Topic Notes Handouts Homework
4/17 Mon Part II Area/Volume FRQs 2012 AB FRQ #2
2013 AB FRQ #5		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2014 AB FRQ #2
4/18 Tues Part II Area/Volume FRQs 2015 AB FRQ #2
2019 AB FRQ #5		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2021 AB FRQ #3
4/19 Wed Part II Polar FRQs 2014 BC FRQ #2
2017 BC FRQ #2		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2018 BC FRQ #5
4/20 Thurs Part II - Differential Equations 2016 BC FRQ #4
2021 BC FRQ #5		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2015 BC FRQ #4

Also, 2017 Multiple Choice Quiz on AP Classroom - Due Monday before class!
4/21 Fri        

Week 29
Date Day Topic Notes Handouts Homework
4/10 Mon No School - Spring Break      
4/11 Tues No School - Spring Break    
4/12 Wed Lesson on Euler's Method      
4/13 Thurs Parametric Part II Packet 2010 BC FRQ #3
2015 BC FRQ #2		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 Re-do today's class questions if you are at all shaky on it
4/14 Fri Parametric Part II Packet 2016 BC FRQ #2
2021 BC FRQ #2		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 Re-do today's class questions if you are at all shaky on it

Week 28
Date Day Topic Notes Handouts Homework
3/27 Mon 2012 BC Multiple Choice Calculator Questions      
3/28 Tues BC Secure Exam 2017      
3/29 Wed BC Secure Exam 2017      
3/30 Thurs Multiple Choice Test      
3/31 Fri Derivative Graph FRQ Practice      

Week 27
Date Day Topic Notes Handouts Homework
3/20 Mon Quiz - 1998 BC Multiple Choice Questions      
3/21 Tues AP Part II Practice - Chart Problems 2008 AB  #2
2009 AB  #5
 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2011 AB #5
3/22 Wed AP Part II Practice - Chart Problems 2013 AB  #3
2018 AB  #4
 AP Free Response Question Banks:
Click here for AB
Click Here for BC
3/23 Thurs AP Part II Practice - Chart Problems 2015 AB  #3
2016 AB  #3
 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 25 Point Chart Problem Assignment
Due Monday 7:15am
2017 AB #1
2021 AB #1
3/24 Fri Begin 2012 BC Multiple Choice     25 Point Chart Problem Assignment
Due Monday 7:15am
2017 AB #1
2021 AB #1

Week 26
Date Day Topic Notes Handouts Homework
3/13 Mon Review AB Part I 1985      
3/14 Tues Quiz 1 - 1985 AB      
3/15 Wed Quiz 2 - 1985 AB      
3/16 Thurs Work on 1998 Part I BC      
3/17 Fri Finish 1998 Part I BC     Quiz Monday -
8 Questions
on 1998 BC Part I

Week 25
Date Day Topic Notes Handouts Homework
3/6 Mon Multiple Choice 1985 AB Part I      
3/7 Tues Multiple Choice 1985 AB Part I    
3/8 Wed Senior Trip      
3/9 Thurs Senior Trip    
3/10 Fri Senior Trip    

Week 24
Date Day Topic Notes Handouts Homework
2/27 Mon AP Review: Week 2 - Modeling 2017 AB  #4
2018 AB  #1
 AP Free Response Question Banks:
Click here for AB
Click Here for BC		  
2/28 Tues AP Review: Week 2 - Modeling 2019 AB  #1
2021 AB  #1
 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 Modeling Quiz Tomorrow
3/1 Wed Quiz -
AP FRQs on Modeling		      
3/2 Thurs Multiple Choice 1985 AB Part I      
3/3 Fri Multiple Choice 1985 AB Part I      

Week 23
Date Day Topic Notes Handouts Homework
2/13 Mon AP Review: Week 2 - Modeling
2008 AB #3		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2018 AB #1
2/14 Tues AP Review: Week 2 - Modeling 2009 AB Form B #2
2009 AB  #2
 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2010 AB #3
2/15 Wed AP Review: Week 2 - Modeling 2010 AB  #1
2013 AB  #1
 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2011 AB #5
2/16 Thurs Introduce Parametric Equations Parametric PowerPoint AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2010 BC Form B #2
2/17 Fri Trivia Day      

Week 22
Date Day Topic Notes Handouts Homework
2/6 Mon AP Review: Week 1 - Derivative Graphs 2006 AB Form B #2
2007 AB Form B #4
2008 AB Form B #5		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2018 AB #3
2/7 Tues AP Review: Week 1 - Derivative Graphs 2009 AB Form B #5
2010 AB Form B #4
2010 AB #5		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2019 AB #3
2/8 Wed AP Review: Week 1 - Derivative Graphs 2012 AB #4
2013 AB #4
2014 AB #5		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2021 AB #4
2/9 Thurs AP Review: Week 1 - Derivative Graphs 2015 AB #5
2016 AB #3
2017 AB #3		 AP Free Response Question Banks:
Click here for AB
Click Here for BC		  
2/10 Fri Test -
AP Part II Derivative Graphs		      

Week 21
Date Day Topic Notes Handouts Homework
1/30 Mon AP Review!!
BC Exam Multiple Choice 2003		      
1/31 Tues AP Review!!
BC Exam Multiple Choice 2003		     Finish 2003 exam
2/1 Wed Mr. Izzo - Out Sick      
2/2 Thurs AP Review!!
BC Multiple Choice 2003		     Work on Calculator Section
2/3 Fri Begin Derivative Graphs Derivative Graphs - First Problem   LAST MATH MEET OF THE YEAR MONDAY 2/6!

Week 20
Date Day Topic Notes Handouts Homework
1/23 Mon Begin Separable Differential Equations Separable Differential Intro PowerPoint

Class Problems		 Separable Diff Equations 2

 Separable Diff Equations 3		 Page 593
#s 16, 18, 20 (for 20 change y' to dy/dx)
1/24 Tues Continue Slope Fields- Solution Curves and Matching Equations   Slope Field Creation Practice Page 600 Exercise Set 9.2 #s 1,9
1/25 Wed Review Slope Fields   Slope Field Review Sheet  
1/26 Thurs Review Separable Differential Equations   Separable Differential Review Sheet Separable Review Sheet Answers
1/27 Fri Quiz- Separable Differentials and Slope Fields      

Week 19
Date Day Topic Notes Handouts Homework
1/16 Mon No School -
Martin Luther King Jr. Day		  
1/17 Tues Trig Substitution Trig Integral Notes and Procedures Trig Substitution Day 1 Problems  
1/18 Wed Mixed Practice - Advanced Integration techniques   Advanced Integration Practice Sheet Finish Sheet
1/19 Thurs Review for Quiz -
Advanced Integration techniques (Partial Fraction, Integration By Parts, Trig Substitution)		      
1/20 Fri Quiz- Advanced Integration Techniques      

Week 18
Date Day Topic Notes Handouts Homework
1/9 Mon Begin Advanced Integration Techniques Partial Fractions and Integration By Parts Power Point
1/10 Tues Begin Advanced Integration Techniques - Integration By Parts Practice Partial Fractions and Integration By Parts Power Point  
1/11 Wed Begin Advanced Integration Techniques - Mixed Practice Partial Fractions and Integration By Parts Power Point  
1/12 Thurs Begin Advanced Integration Techniques - Mixed Practice Partial Fractions and Integration By Parts Power Point    
1/13 Fri Smart Board Broken : (
Work on yellow board! 		     

Week 17
Date Day Topic Notes Handouts Homework
1/2 Mon No School -
Happy New Year!
1/3 Tues AP Questions - Volumes of Revolution   AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2004 Form B AB 1
2005 Form B AB 1
2006 Form B AB 1
1/4 Wed AP Questions - Volumes of Revolution   AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2007 Form B AB 1
2008 Form B AB 1
2015 AB 2
1/5 Thurs AP Questions - Volumes of Revolution   AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2013 AB 5
2010 AB 4
2009 AB 4
1/6 Fri AP Questions - Volumes of Revolution   AP Free Response Question Banks:
Click here for AB
Click Here for BC		 2011 Form B BC 3
2009 Form B BC 1

Reminder: MATH MEET Monday, January 9th

Week 16
Date Day Topic Notes Handouts Homework
12/19 Mon 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
12/20 Tues Revolutions about lines other than x/y axis Overhead   Question #4 on overhead and Page 457 #s 37 qand 38 (Make sure to solve for y!)
12/21 Wed Review Shells, Washers and Disks Overhead 1
 Overhead 2		 1) y = x2, y = x+6, x ≥ 2, revolved about x = -1 

2) y = √x, y = x2, x ≥ 0, revolved around y = -3

3) Same equations as #1 but revolve around x = 1

4) Same equations as #2 but revolve around y = 3

MY Work: Answers Explained
12/22 Thurs Quiz - Area/Volume      
12/23 Fri The Mathematics of the Holiday Season   Look ----------------> Optional Extra Credit Assignment.
Due BEFORE 1st period on Tuesday, January 3rd

Week 15
Date Day Topic Notes Handouts Homework
12/12 Mon Review for Beginning Integration Test   Review Sheet Study!

Review Sheet Answers!
12/13 Tues Test - Beginning Integration      
12/14 Wed Begin Area Between Two Curves Overhead   2006 AP Part II - #s 3 and 4

Find the area between:
f(x) = √x
g(x) = x - 2
12/15 Thurs Area Between Two Curves - Curves Switching within intervals Find the area between:
f(x) = sin x
g(x) = cos x
Interval [0, 9Π/4)		 Find the area between curves
f(x) = -x2 + 9
g(x) = x + 2
interval [0,2]		 Page 448 #s 8 and 10
12/16 Fri Volumes of Revolution - Disks and Washers Volumes of Revolution Formulas Practice Volume Questions over the x-axis Find volume of the region bounded by y = x3 and y = x [0,1] revolved around x-axis

Week 14
Date Day Topic Notes Handouts Homework
12/5 Mon More work with area approximations and "n" rectangles Practice Sheet Find the area under
y = x2 + x + 1
using "n" rectangles
12/6 Tues Exact Area Under the Curve using Infinite Rectangles     Find exact area under the curve using infinity "n" rectangles
y = x2 [1,5]
y = x2 + x [2,3]
Challenge:
y = x3 [1,4]
12/7 Wed Integration Techniques - Power Rule and U-Sub Power Point Integration Practice 1

Integration Practice 2		 Finish Integration Practice 2
12/8 Thurs More Integration Practice   Integration Practice 3  
12/9 Fri AP Practice Question with Rectangle Approximation     BC 2021 #1 FRQ

Week 13
Date Day Topic Notes Handouts Homework
11/28 Mon Finish Reviewing for Polar Exam      
11/29 Tues Test - Area and Descriptions of Polar Equations      
11/30 Wed Polar Arc Length Polar Arc Length
Power Point 		  None
12/1 Thurs Area Approximations Using Finite Rectangles Practice Problems Old AP FRQs:
2007 AB 5
2008 AB 2
12/2 Fri Riemann Sums and Infinite Rectangles Power Point    

Week 12
Date Day Topic Notes Handouts Homework
11/21 Mon Mr. Izzo - Out Covid      
11/22 Tues Mr. Izzo - Out Covid      
11/23 Wed No School -
Thanksgiving Break		    
11/24 Thurs No School -
Thanksgiving Break		    
11/25 Fri No School -
Thanksgiving Break		    

Week 11
Date Day Topic Notes Handouts Homework
11/14 Mon Continue Polar Area
No Calculator		 Polar Area Power Point    
11/15 Tues Polar Area Practice Polar Area Power Point    
11/16 Wed Polar Area Practice Polar Area Power Point    
11/17 Thurs Polar Area Between 2 Curves Polar Area Power Point    
11/18 Fri Begin Review For Polar Exam   Polar Review Sheet  

Week 10
Date Day Topic Notes Handouts Homework
11/7 Mon Review for Polar Graphs and Equations Quiz   Polar Review Sheet Study!
11/8 Tues No School for Students-
Election Day		    
11/9 Wed Quiz - Polar Graphs and Equations
11/10 Thurs Begin Polar Integration -
Area Inside a Polar Curve 		Polar Area Power Point    
11/11 Fri No School-
Veterans Day		      

Week 9
Date Day Topic Notes Handouts Homework
10/31 Mon Introduce Polar Coordinates Polar Intro Power Point Page 728
#s 3a-b,4a-b,7a,7b,8a,8b
11/1 Tues Transferring Polar Equations to Rectangular Equations and Identifying   Polar Coordinates Worksheet - Day 2 Page 728
# 10 a,c
11/2 Wed Polar Circle and Rose Curves Families Polar Circle and Rose Curve Power Point   Page 728-729
#s 24,25,48,50
11/3 Thurs Limacons and the Cardioid Limacon PowerPoint   Page 728
#s 17a,c,18a,20a,26,28
11/4 Fri Leminscates and the Spirals Limacon PowerPoint Polar Practice Packet Finish Packet

Week 8
Date Day Topic Notes Handouts Homework
10/24 Mon Converting a Maclaurin or Taylor Polynomial to a power series and then checking for convergence Power Series Convergence Power Point   Memorize the Four Maclaurin Power Series Formulas and their intervals of convergence!
10/25 Tues Finish Maclaurin and Taylor Series   Wrap-Up Activity for Maclaurin and Taylor Series Finish worksheet
Test Thursday
10/26 Wed Review for Test   Review Sheet Study!!
10/27 Thurs Test - Interval of Convergence and Maclaurin/Taylor Polynomials      
10/28 Fri Lagrange's Error Bound Lagrange Error Power Point

2018 Free Response #6		   None!

Week 7
Date Day Topic Notes Handouts Homework
10/17 Mon Continue Interval of Convergence   Practice Problems Finish Practice Problems

Math Meet Tomorrow!!
10/18 Tues Interval and Radius of Convergence Practice   Practice Problems Worksheet 2 Finish Worksheet
Math Meet Today!!
2:05 in Cafeteria
10/19 Wed Finish Interval and Radius of Convergence   Practice Problems Worksheet 2  
10/20 Thurs Maclaurin Polynomials - Day 1 Maclaurin and Taylor Polynomials Power Point   3rd degree approx for f(x) = ln (1+x)
10/21 Fri Taylor Polynomials - Approximation not centered around zero Maclaurin and Taylor Polynomials Power Point   Do Question from last slide on PowerPoint

Week 6
Date Day Topic Notes Handouts Homework
10/10 Mon No School -
Columbus Day		      
10/11 Tues Practice Mixed Convergence Tests   Mixed Convergence Test Practice Sheet 1. Finish Sheet
2. Make sure you are enrolled in AP Classroom
3. Test Thursday
10/12 Wed PSAT Day
Go over review sheet		      
10/13 Thurs Test - All Convergence Tests      
10/14 Fri Begin Interval of Convergence Interval of Convergence Power Point   Finish The Questions on the Power Point!

Week 5
Date Day Topic Notes Handouts Homework
10/3 Mon More Convergence Tests -
Root Test, Comparison Test		 Root-Comparison-LimitComparison PowerPoint Notes   Page 664
#s 17,18,5,8,4
10/4 Tues Mixed Practice - Convergence Tests: everything from limit test to comparison test Mixed Convergence Questions   Page 644
#s 7,26,33,38
10/5 Wed No School - 
Yom Kippur		      
10/6 Thurs The Alternating Series Test Alternating Series Test Notes   Page 673
#s 1,3
10/7 Fri        

Week 4
Date Day Topic Notes Handouts Homework
9/26 Mon No School -
Rosh Hashanah		      
9/27 Tues No School -
Rosh Hashanah		      
9/28 Wed Practice All the Convergence Tests we know so far: Divergence, Infinite Geometric, P-Series, Integral, Ratio Mixed Practice 1    
9/29 Thurs Mixed Practice of Series Convergence   Review Sheet STUDY!!
9/30 Fri TEST - Convergence and Divergence of Series      

Week 3
Date Day Topic Notes Handouts Homework
9/19 Mon Go over Sequence Test

More work with p-series
 Convergence of Infinite Series PowerPoint   Test corrections for 1/3 points back
9/20 Tues Review "U-Sub" Integration from last year U-Sub Integration Practice   Page 372
#s 9,11,15,19,27,35,41
9/21 Wed Series Convergence:
The Integral Test		 Integral Test PowerPoint   Page 657
#7
9/22 Thurs More Practice with the Integral Test Integral Test PowerPoint Convergence Rules - SO FAR Page 657
#s 9,10,11,13,14
9/23 Fri Ratio Test Ratio Test Notes   Page 664
#s11-15

Week 2
Date Day Topic Notes Handouts Homework
9/12 Mon 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
9/13 Tues Continue Series - Geometric Series Series Introduction Page 650
#s 3, 7, 13		 Begin Review Sheet.
Come in tomorrow with questions
9/14 Wed Review for Quiz   Review Sheet STUDY FOR TEST!
9/15 Thurs TEST - Sequences, Monotonicity, Geometric Series.      
9/16 Fri Begin Series Convergence Rules Convergence of Infinite Series PowerPoint   Page 657
# 3: a-d
# 5 a-d
18

Week 1
Date Day Topic Notes Handouts Homework
9/5 Mon No School -
Labor Day		      
9/6 Tues 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
9/7 Wed 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
9/8 Thurs 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
9/9 Fri Continue Monotonicity:
Eventaully Inc/Dec
Proving by all 3 methods		 Monotonicity Power Point   Page 641
Exercise Set 10.2
#s 1,2,3,7