Mr. Izzo's Math Classes
2023-2024

 

 

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Advanced Placement Calculus (BC)  2023-2024 

Week 24
Date Day Topic Notes Handouts Homework
2/26 Mon AP Review: Week 1 - Derivative Graphs 2006 AB Form B #2
2007 AB Form B #4
2008 AB Form B #5
2009 AB Form #5
2010 AB Form B #4
AP Free Response Question Banks:
Click here for AB
Click Here for BC
2018 AB #3
2019 AB #3
2/27 Tues AP Review: Week 1 - Derivative Graphs 2010 AB #5
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
2/28 Wed 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
 
2/29 Thurs Test -
AP Part II Derivative Graphs
     
3/1 Fri        

Week 23
Date Day Topic Notes Handouts Homework
2/12 Mon Multiple Choice BC Exam from 2014 2014 BC Multiple Choice

Questions start on page 19
  Do the 17 calculator questions
Here is a video with some random guy solving each problem if you need help

On Wednesday 2/14 you will have a quiz with 3 out of the 28 non-calculator questions and 2 out of the 17 calculator section questions
2/13 Tues No School - Snow Day      
2/14 Wed Questions on 2014 International Practice Exam?      
2/15 Thurs Quiz- 5 Questions on 2014 Practice Exam.

Begin work on
YELLOW BOARD!!!
     
2/16 Fri        

Week 22
Date Day Topic Notes Handouts Homework
2/5 Mon Begin Review for Modeling/Differential Equations Test     Workbook Unit 7 Review Odds
2/6 Tues Continue Review for Modeling/Differential Equations Test     Workbook Unit 7 Review Evens
2/7 Wed Test- Modeling/Differential Equations      
2/8 Thurs Begin AP Review:
A Multiple Choice Audit - You have learned all this already, but what do you REMEMBER?
Official AB/BC Multiple Choice Practice   Complete the first 15 Multiple Choice Questions. Stop at the pdf file's Page 20. Answers are on Page 26

MATH MEET TODAY -
2PM Cafeteria
2/9 Fri Multiple Choice BC Exam from 2014 2014 BC Multiple Choice

Questions start on page 19
  Finish the first 28 questions - this is the non-calculator section

Here is a video with some random guy solving each problem if you need help

On Wednesday 2/14 you will have a quiz with 3 out of these 28 questions and 2 out of the 17 calculator section questions

Week 21
Date Day Topic Notes Handouts Homework
1/29 Mon Slope Fields -
Creating, Matching, Drawing Solution Curves, and Writing Tangent Equations
  Slope Field Creation Practice Section 7.3 Practice
#s 1-15 all

Section 7.4 Practice
#s 1-17 all
1/30 Tues Solving Differential Equations:
General and Particular Solutions
Solving Differential Equations PowerPoint   Section 7.6 Practice
#s 1-8 all

Section 7.7 Practice
#s 1-11 all
1/31 Wed Begin Modeling:
1) Proportional Growth and Decay
2) Doubling Time
Modeling Power Point   Section 7.8 Practice
#s 2-12 even, and #s 13&14
2/1 Thurs Logistic Models of Growth Logistic Growth Power Point   Section 7.9
#s 1,2
2/2 Fri Practice Logistic Models
Introduce Euler's Method
Euler's Method PowerPoint   Section 7.5 Practice
#s 1,5,7

Section 7.9 Practice
#s  3-11

Week 20
Date Day Topic Notes Handouts Homework
1/22 Mon Mr. Izzo Out - Medical

25 Point Assignment on Real AP Volume Questions - Can work with partner
  25 Point Assignment
Real Volume AP Questions
 
1/23 Tues Review for Area/Volume Test      
1/24 Wed Test - Area/Volume      
1/25 Thurs Modeling with Differential Equations     Section 7.1
#s 1-12 all
1/26 Fri Verifying Solutions of Differential Equations     Section 7.2
#s 1-11 odd, and #12

Week 19
Date Day Topic Notes Handouts Homework
1/15 Mon No School -
MLK Jr Day
     
1/16 Tues Cross-Section Volume:
Triangles and Semi-Circles
Cross Section Volume PowerPoint   Workbook Section 8.8
#s 1-12 all
1/17 Wed Delayed Opening -
Shortened Period.
Go over homework
   
1/18 Thurs Arc Length Arc Length PowerPoint   Workbook Section 8.13
#s 1-5, 7,11
1/19 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
1/8 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

REMINDER: MATH MEET TODAY!!

1/9 Tues 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 Wed Review Disks/Washers/Shells   Workbook Unit 8 Review
#s  1,2,4,6,7
1/11 Thurs Quiz - Area/Volume:
Disks/Washers/Shells
     
1/12 Fri Cross-Section Volume Cross Section Volume PowerPoint   Workbook Section 8.7
#s 1,2,5,6,10

Week 1
7
Date Day Topic Notes Handouts Homework
1/1 Mon No School -
Happy New Year!
   
1/2 Tues 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 Wed 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
1/4 Thurs Mr. Izzo - Jury Duty
25 Point Class Assignment
    25 Point Class Assignment
1/5 Fri 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

Week 1
6
Date Day Topic Notes Handouts Homework
12/18 Mon Using Long Division and Completing the Square to Simplify Seemingly Impossible Integrals     Workbook Section 6.10
#s 1,2,3,4,11
12/19 Tues Introduce Integration By Parts Partial Fractions and Integration By Parts Power Point Workbook Section 6.11
#s 1-5 all, 11,12
12/20 Wed 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
12/21 Thurs Festive Day to Relax!!      
12/22 Fri No Class -
Honor Society Field Trip to NYC
     

Week 15
Date Day Topic Notes Handouts Homework
12/11 Mon 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
12/12 Tues Motion (S/V/A) of Parametric Equations Parametric PowerPoint   Workbook Section 9.6
#s 1,2,3,6,7,9,16
12/13 Wed Review for Parametric Equations Test   Review Sheet Study!
12/14 Thurs Quiz - Parametric Equations      
12/15 Fri AP Progress Check - Unit 9 Multiple Choice Questions - Polar, Parametric, and Vectors     Assignment in AP Classroom Due Monday Morning

Week 14
Date Day Topic Notes Handouts Homework
12/4 Mon Properties of Definite Integrals Properties of Definite Integrals   Workbook Section 6.6
#s 1-4 all, 12-19 all
12/5 Tues Review for Area Approximation and Definition of Integral Quiz Review Sheet Finish Review Sheet and Study!
12/6 Wed Quiz - Area Approximation and Definition of Integrals      
12/7 Thurs Introduce Parametric Equations Parametric PowerPoint   Workbook Section 9.1
#s 1,3,4,5,7
12/8 Fri 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

Week 13
Date Day Topic Notes Handouts Homework
11/27 Mon Polar Arc Length Polar Arc Length
Power Point
  None
11/28 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
11/29 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
11/30 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
12/1 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 12
Date Day Topic Notes Handouts Homework
11/20 Mon AP Practice Questions BC Problem Set 5   Finish BC Problem Set #5
11/21 Tues Trivial Pursuit!      
11/22 Wed No School -
Happy Thanksgiving
   
11/23 Thurs No School -
Happy Thanksgiving
     
11/24 Fri No School -
Happy Thanksgiving
     

Week 11
Date Day Topic Notes Handouts Homework
11/13 Mon Polar Area Between 2 Curves Polar Area Power Point   Workbook
Section 9.9
#s 1,4,7
11/14 Tues Mr. Izzo - Field Trip
Work on HW
Polar Area Power Point   Workbook
Section 9.8
#s 2,3,5
11/15 Wed Begin Review for Polar Exam   Polar Review Sheet Math Meet - Thursday - 2pm
11/16 Thurs Continue Reviewing for Polar Exam   Polar Review Sheet Math Meet - Today!- 2pm
11/17 Fri Test - Polar      

Week 10
Date Day Topic Notes Handouts Homework
11/6 Mon Review for Polar Graphs and Equations Quiz   Polar Review Sheet Study!
11/7 Tues No Students -
Election Day
11/8 Wed Quiz - Polar Graphs and Equations
11/9 Thurs Begin Polar Integration -
Area Inside a Polar Curve
Polar Area Power Point   Workbook
Section 9.8
#s 1,4,6
11/10 Fri No School -
Veterans Day
   

Week 9
Date Day Topic Notes Handouts Homework
10/30 Mon Alternating Series Error Bound Alternating Series Error Bound Power Point   Workbook Section 10.10
Practice #s 1,3,7,8,9
10/31 Tues 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
11/1 Wed Polar Circle and Rose Curves Families Polar Circle and Rose Curve Power Point   Page 728-729
#s 24,25,48,50
11/2 Thurs Limacons and the Cardioid Limacon PowerPoint   Page 728
#s 17a,c,18a,20a,26,28
11/3 Fri Leminscates and the Spirals Limacon PowerPoint Polar Practice Packet Finish Packet

Week 8
Date Day Topic Notes Handouts Homework
10/23 Mon Mr. Izzo Absent
Family Event Out-of-State
     
10/24 Tues Finish Maclaurin and Taylor Series   Wrap-Up Activity for Maclaurin and Taylor Series Finish worksheet
Test Thursday
10/25 Wed Review for Test   Review Sheet Study!!
10/26 Thurs Test - Interval of Convergence and Maclaurin/Taylor Polynomials      
10/27 Fri Lagrange's Error Bound Lagrange Error Power Point   2018 BC Exam
Free Response Question #6!

Week 7
Date Day Topic Notes Handouts Homework
10/16 Mon Interval and Radius of Convergence Practice   Practice Problems Worksheet 2 Finish Worksheet
Math Meet Today!!
2:05 in Cafeteria
10/17 Tues 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
10/18 Wed Taylor Polynomials - Approximation not centered around zero Maclaurin and Taylor Polynomials Power Point   Workbook Section 10.11
Practice #s 3,4,6,7,8,9,10,11,15
10/19 Thurs 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!
10/20 Fri Finish Maclaurin and Taylor Series     Workbook Section 10.14
#s 6, 10,11,12,14,15

Quiz on memorization of Maclaurin/Taylor series Tuesday
 
Test - Next Thursday on Interval of Convergence and all Maclaurin/Taylor

Week 6
Date Day Topic Notes Handouts Homework
10/9 Mon No School -
Columbus Day
     
10/10 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
10/11 Wed Test - All Convergence Tests      
10/12 Thurs Begin Interval of Convergence Interval of Convergence Power Point   Workbook Section 10.13
Practice
#s 1,3,4,9,12,14
10/13 Fri Continue Interval of Convergence   Practice Problems Finish Practice Problems

Workbook Section 10.13
#s 2,5,6,7,8,10,13,16,17

Math Meet Monday!!

Week 5
Date Day Topic Notes Handouts Homework
10/2 Mon Go over Review Sheet and Workbook Problems from Friday   Review Sheet Study!
Test Tomorrow
10/3 Tues TEST - Convergence and Divergence of Series      
10/4 Wed More Convergence Tests -
Root Test, Comparison Test
Root-Comparison-LimitComparison PowerPoint Notes   Page 664
#s 17,18,5,8,4
10/5 Thurs Mixed Practice - Convergence Tests: everything from limit test to comparison test Mixed Convergence Questions   Page 664
#s 7,26,33,38
10/6 Fri 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
(Calm down you have a 3-day weekend)

Week 4
Date Day Topic Notes Handouts Homework
9/25 Mon No School -
Yom Kippur
   
9/26 Tues 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
9/27 Wed Ratio Test Ratio Test Notes   Page 664
#s11-15
9/28 Thurs 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
9/29 Fri 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

Week 3
Date Day Topic Notes Handouts Homework
9/18 Mon TEST - Sequences, Monotonicity, Geometric Series.      
9/19 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

9/20 Wed Go over Sequence Test

More work with p-series
Convergence of Infinite Series PowerPoint   Test corrections for 1/2 points back

Section 10.5 Practice
#s 1,2,3,4,5
9/21 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
9/22 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
9/11 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
9/12 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
9/13 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
9/14 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
9/15 Fri Review for Quiz   Review Sheet STUDY FOR Quiz Monday!

Week 1
Date Day Topic Notes Handouts Homework
9/4 Mon No School -
Labor Day
     
9/5 Tues No Class -
Superintendent's Conference Day
     
9/6 Wed No Class -
Superintendent's Conference Day
   
9/7 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
9/8 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