Mr. Izzo's Math Classes
2024-2025

 
 

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Advanced Placement Calculus (AB)  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     AP Classroom Assignment Due Sunday before 11:45pm
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 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
1/14 Tues Review Disks/Washers/Shells   Workbook Unit 8 Review
#s  1,2,4,6,7
1/15 Wed Quiz - Area/Volume:
Disks/Washers/Shells		      
1/16 Thurs Cross-Section Volume Cross Section Volume PowerPoint   Workbook Section 8.7
#s 1,2,5,6,10
1/17 Fri Cross-Section Volume:
Triangles and Semi-Circles		 Cross Section Volume PowerPoint   Workbook Section 8.8
#s 1-12 all

Week 18
Date Day Topic Notes Handouts Homework
1/6 Mon Mr. Izzo - Out Sick      
1/7 Tues 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

REMINDER: MATH MEET TODAY!!
1/8 Wed 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
1/9 Thurs 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
1/10 Fri 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

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
1/3 Fri Continue Area Between 2 Curves:
- K Values that split the region
 Area Between Two Curves Power Point Workbook Section 8.4
#s 12,14

Week 16
Date Day Topic Notes Handouts Homework
12/16 Mon Using Long Division and Completing the Square to Simplify Seemingly Impossible Integrals     Workbook Section 6.10
#s 1,2,3,4,11
12/17 Tues Go over HW from last night Integral Techniques Review Problems   Workbook Section 6.10
#s 6,7,9,10,12
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 Review "U-Sub" Integration from last year U-Sub Power Point   Workbook Section 6.9
#s 1-10 all, 13,14
12/10 Tues Continue "U-Sub" Integration U-Sub Power Point   Workbook Section 6.9
#s 16-23 all
12/11 Wed Lockdown Situation      
12/12 Thurs Go over any u-sub HW questions   Review Sheet Study! Pay particular attention to previous HW questions
12/13 Fri Quiz -  U-Sub and easier definite integrals

Week 14
Date Day Topic Notes Handouts Homework
12/2 Mon Properties of Definite Integrals Properties of Definite Integrals   Workbook Section 6.6
#s 1-4 all, 12-19 all
12/3 Tues Review for Area Approximation and Definition of Integral Quiz Review Sheet Finish Review Sheet and Study!
12/4 Wed Quiz - Area Approximation and Definition of Integrals      
12/5 Thurs Progress Check in AP Readiness     Progress Check Quiz 1 MCQ A
12/6 Fri Easy Integral Practice:
Definite and Indefinite Integrals		     Workbook Section 6.7
#s 1-15 odd

Workbook Section 6.8
#s 1,2,3,6,7,12,15,16,19

Week 13
Date Day Topic Notes Handouts Homework
11/25 Mon 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
11/26 Tues Properties of Definite Integrals Properties of Definite Integrals   Workbook Section 6.6
#s 1-4 all, 12-19 all
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 Area Approximation by Graph   Workbook Section 6.1
#s 1, 2, 3, 7

Workbook Section 6.2
#s 3,4
11/19 Tues Area Approximations Using Finite Rectangles Practice Problems 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   Practice Sheet  
11/22 Fri 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 Workbook Section 6.4
#s 1,3,6,8,10,12,14,17,18,19

Week 11
Date Day Topic Notes Handouts Homework
11/11 Mon No School - Veterans Day      
11/12 Tues Optimization - Go over Friday's HW     Workbook
Section 5.10
#s 2, 5, 11, 12
Solve all the way even though the workbook says not to

Math Meet Tomorrow 2pm
11/13 Wed Begin Review for Optimization Test   Math Meet Today 2pm
11/14 Thurs Continue Review for Optimization Test      
11/15 Fri Test - Optimization      

Week 10
Date Day Topic Notes Handouts Homework
11/4 Mon Partner Quiz:
Functions - their graphs and their derivatives 		     
11/5 Tues No School for Students -
Election Day		      
11/6 Wed Begin Optimization Optimization Intro Problems   Workbook
Section 5.10 #s 1-6 all
11/7 Thurs Harder Optimization Problems Optimization Level Two Problems   Workbook
Section 5.11 #s 4,5,6,7
11/8 Fri Practice Optimization:
Parabolas, Profit, etc		     Workbook
Section 5.11 #s 8,9

Week 9
Date Day Topic Notes Handouts Homework
10/28 Mon AP Style Extrema Questions     Workbook
Section 5.5 #s 1,3,7,10
Section 5.6 #s 8,10,14,16,19
Section 5.7 #s 5,6,7
10/29 Tues Going Back and Forth between function graphs and derivative graphs Comparing a Function's Graph to Its Derivative's Graph   Workbook
Section 5.8 #s 1,4,5,12,17,23,24
10/30 Wed Finish up Connecting f, f', and f''
Including Motion		 Comparing a Function's Graph to Its Derivative's Graph   Workbook
Section 5.9 #s 1-10 all
10/31 Thurs Partner Quiz:
Functions - their graphs and their derivatives 		     
11/1 Fri Partner Quiz:
Functions - their graphs and their derivatives 		     

Week 8
Date Day Topic Notes Handouts Homework
10/21 Mon Re-Visit Mean Value Theorem Newton's Intro PowerPoint   Workbook
Section 5.1 Practice
#s 1,3,5,7,8,9,12
10/22 Tues Review for Quiz   Review Sheet  
10/23 Wed Quiz - Related Rates, Tangent Line Approximation L'Hospital's Rule, and Mean Value Theorem      
10/24 Thurs Begin f, f', and f'' Graphs
Intervals of Increase/Decrease		 Intervals of Inc/Dec PowerPoint   Workbook
Section 5.3 Practice
#s 1,2,3,5,6,7,8,9,10,12,13
10/25 Fri Using f' to find and justify relative extrema First Derivative to Justify Relative Extrema   Workbook
Section 5.4 Practice
#s 1,3,4,6,9,10,13,15,16

Week 7
Date Day Topic Notes Handouts Homework
10/14 Mon No School - Columbus Day      
10/15 Tues Begin Related Rates Related Rates Power Point Related Rates Beginning Questions Textbook Page 221
#s 5, 8 and 13-21 all.

Workbook
Section 4.4 #s 8,9
Section 4.5 #s 2,4,5,8,10
10/16 Wed Related Rates AP Multiple Choice Questions   Related Rates AP Multiple Choice Questions Finish Worksheet and
Workbook Section 4.5
Test Prep #11
10/17 Thurs Re-Visit Tangent-Line Approximations from Last Year Newton's Intro PowerPoint   Workbook
Section 4.6 Practice
#s 1,3,4,8
10/18 Fri L'Hospital's Rule     Workbook
Section 4.7
#s 2-16 (only evens) and #17

Week 6
Date Day Topic Notes Handouts Homework
10/7 Mon Rates of Change Other Than Motion Other Rates of Change PowerPoint   Workbook
Section 4.3 Practice
#s 1,3,5,7
10/8 Tues Continue Rates of Change other than Motion:
Classwork - Workbook 4.3 Practice #s 4,6,8,9,10
(Calculator OK)		 Other Rates of Change PowerPoint   Finish Classwork
10/9 Wed Review for Motion Quiz (Rectilinear and Otherwise)      
10/10 Thurs 2nd day of Review for Motion Quiz      
10/11 Fri Quiz - Motion      
Week 5
Date Day Topic Notes Handouts Homework
9/30 Mon Rectilinear Motion Review from last year

Finding Motion behavior from a graph or  chart		     Workbook
Section 4.2 Practice
#s 1,2,3,4,5,7
10/1 Tues Continue AP style Motion problems from charts and graphs     Workbook
Section 4.2 Practice
#s 6,8,9
10/2 Wed AP Practice Questions on Rectilinear Motion   AP Practice Problems Worksheet Finish Worksheet
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       Workbook Section 3.6
#s 2,3,5,10,14,15,23
9/24 Tues Higher Order Derivatives

Replacing dy/dx in a second derivative		     Workbook 2 assignments:

1) Section 3.6 #s 2,3,5,10,14,15,23

2) Unit 2 Review (Page 111-113)
9/25 Wed Review for Techniques of Derivatives Test - Day 1     Unit 3 Review (Page 143-144)
9/26 Thurs Review Day 2 for Techniques of Differentiation Test      
9/27 Fri Test - Techniques of Differentiation      

Week 3
Date Day Topic Notes Handouts Homework
9/16 Mon Continue Definition of Derivative -

All Techniques of Differentiation (Power Rule, Chain Rule, Product Rule, Quotient Rule) 		Techniques Power Point   Workbook Practice Problems:
Section 2.2  #s 5,6,10,11
Section 2.5 #s 1,4,6,15,16
Section 2.8 #s 1,2,5
Section 2.9 #s 1,4,6
9/17 Tues Estimating Derivatives using calculator and/or average slope

Differentiability and Continuity 		    Workbook Practice Problems:
Section 2.1  #s 11, 14 (no calculator)
Section 2.4 #s 1,2,3
9/18 Wed Is a Piecewise Graph Differentiable?

Chain Rule Practice		 Piecewise Differentiability PowerPoint   Workbook Practice Problems:
Section 2.6  #s 17,19,21
Section 2.7 #s 1-13 odd
9/19 Thurs Introduction to Implicit Differentiation head Notes
Intro to Implicit Notes		   Workbook Practice Problems:
Section 3.1 #s 14,20
Section 3.2  #s 1-19 odd
9/20 Fri Inverse Derivatives Inverse Derivative Notes   Workbook Practice Problems
Section 3.3 #s 3,4,8,10
Challenge Problems #s 5,6

Week 2
Date Day Topic Notes Handouts Homework
9/9 Mon Multiple Representation of Limits
Types of Discontinuities
Defining Continuity
Removing Discontinuities 		    Workbook Practice Problems:
Section 1.9 #s 2,5,9
Section 1.10 #s  4,6,7
Section 1.11 #s 1,5,9
Section 1.13 #s 4,6 (Challenge #10)
9/10 Tues 1) Limits to Infinity
2) The Intermediate Value Theorem (Duh! Theroem)		 Infinity Limits Power Point   Workbook Practice Problems:
Section 1.15 #s 2,3, 9-27 odd
Section 1.16 #s 6-10
9/11 Wed Review for Limits Quiz    
9/12 Thurs Quiz - Limits      
9/13 Fri Go Over Quiz
Revisit Definition of Derivative from last year		   Create Quiz "Correction" Problems

Workbook Practice Problems:
Section 2.1 #s 22,23

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 Limits - Limits by visual graph		 Visual Limit PowerPoint Course Syllabus

Have Parents sign and print
Parent Letter

Workbook Practice Problems:
Section 1.1 #s 1-7 odd
Section 1.2 #s  12-27
Section 1.3 # 2
9/6 Fri Continue Visual Limits
Algebraic Limits Piecewise
Algebraic Limit Practice		 Visual Limit PowerPoint   Workbook Practice Problems:
Section 1.3 #s 1,5
Section 1.4 #s  3,7
 Section 1.5 #s 10
Section 1.6#s  1-23 odd