Mr. Izzo's Math Classes
2023-2024

 

 

Classes:
  
BC Calculus
  
AB Calculus
   Financial Math
  
Pre-Calculus Honors
   Class of 2024 Announcements
  

Extra Help

 

 

    PreCalculus Honors  2023-2024

Week 34
Date Day Topic Notes Handouts Homework
5/13 Mon Finish Exact Area Under the Curve using Infinite Rectangles....Region starting at places other than the origin     Find exact area under the curve using infinity "n" rectangles
y = x2 [1,5]
y = x2 + x [2,3]
Challenge:
y = x3 [1,4]
5/14 Tues Mr. Izzo Absent - Doctor      
5/15 Wed Finish "n" rectangles, and introduce Power Rule for Integrals N-Rectangle Approximation and Translation Practice Finish Practice Problems Worksheet
5/16 Thurs Mr. Izzo Absent - Doctor
Begin Area Approximation and Infinite Rectangles Review
  Review Sheet  Extra Review Problems

Extra Review Problems Answers and Explanations
5/17 Fri Finish Area Approximation and Infinite Rectangles Review

QUIZ MONDAY!!
  Review Sheet  Extra Review Problems

Extra Review Problems Answers and Explanations

QUIZ MONDAY!!!!

Week 33
Date Day Topic Notes Handouts Homework
5/6 Mon Area Approximations Using Finite Rectangles Practice Problems Finish Worksheet!
5/7 Tues 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  
5/8 Wed Riemann Sums and Infinite Rectangles Power Point    
5/9 Thurs More work with area approximations and "n" rectangles   Find the area under
y = x2 + x + 1
using "n" rectangles
5/10 Fri AP US History Exam      

Week 32
Date Day Topic Notes Handouts Homework
4/29 Mon Introduction to Newton's Approximation Newton's Intro PowerPoint    
4/30 Tues Mean Value Theorem and Rolle's Corollary Newton's Intro PowerPoint    
5/1 Wed Finish Tangent Line Approximation and do 25 Point "Theorem" Classwork Newton's Intro PowerPoint Theorem 25 Point Class Work 25 Point Class Work Due Friday
5/2 Thurs Review for Newton's Approx Quiz Review Sheet Study!!
5/3 Fri Quiz- Newton's Approximation      

Week 31
Date Day Topic Notes Handouts Homework
4/15 Mon Introduction to Rectilinear Motion Motion Power Point Motion Worksheet 1 Page 343 #s 13-14
4/16 Tues Rectilinear Motion Practice Motion Class Problems - Day 2   Page 342 #s 1,2,3,4,6
4/17 Wed Rectilinear Motion Applications

Motion Class Worksheet Page 348 #76 parts a and e only
4/18 Thurs Review for Rectilinear Motion Test Motion Review PowerPoint   Test Tomorrow
4/19 Fri Test - Rectilinear Motion      

Week 30
Date Day Topic Notes Handouts Homework
4/8 Mon Optimization - Track/ Football field Question Field Space Problem    
4/9 Tues Optimization Harder Problems Practice Level Two Problems    
4/10 Wed Review for Optimization Test   Review Sheet

Review Sheet Answers
Finish as much of Review Sheet as you can
4/11 Thurs Go over Mixed-Use Level Two Problems (Shipping/Trucking, Burying PowerLines, etc)   Review Sheet

Review Sheet Answers
Cylindrical Can with volume of 27 cubic cm. Height is always 2 times diameter. What is the minimum surface area? Answer
4/12 Fri Test - Optimization      

Week 29
Date Day Topic Notes Handouts Homework
4/1 Mon No School      
4/2 Tues Introduction to Optimization Overhead    
4/3 Wed Optimization continued - Creating the maximum volume box from a sheet of paper. Overhead 1

Overhead 2
  Try question #4
4/4 Thurs Optimization - Day 3 - Plus the North Fork Bison Problem
Optimization Overhead 2

Optimization Overhead 3

Optimization Overhead 4
 
4/5 Fri Optimization Day 4     Optimization Take-home

Week 28
Date Day Topic Notes Handouts Homework
3/25 Mon Introduction to Relative Extrema Overhead   Finish y = x3 -12x2 + 36x
3/26 Tues Continue Relative Extrema - Trig and Fractional Exponents Overhead Assignment Worksheet Finish 25 Point Assignment
3/27 Wed        
3/28 Thurs No School - Easter Break    
3/29 Fri No School - Easter Break      

Week 27
Date Day Topic Notes Handouts Homework
3/18 Mon Graphing - Rational Functions - Points of Non-Differentiability, etc y  =     8
        4 - x2
Answer
 

y  =    2x2- 8
           x2 - 16
Answer

Extra Practice Question

Also practice: y = x4 - 10x2 + 25

3/19 Tues Polynomial Graphs Rational Functions and Fractional Exponents

 

y = (x-4)2/3

  y = (x + 2)1/3
3/20 Wed Fractional Exponents and Derivatives that Require Common Denominators Problems from Chalkboard   Finish problem #3 from board
y = 2x + 3x2/3
3/21 Thurs Review for Polynomial Graphing Test Extra Questions and Answers Review Sheet

Answers
Finish Questions
Study!!
3/22 Fri Test - Polynomial Graphing      

Week 26
Date Day Topic Notes Handouts Homework
3/11 Mon Review for Related Rates Test   Review Sheet

Answers

Finish Odd Questions
3/12 Tues Extra Day of Review for Related Rates Test   Review Sheet

Answers

Study!
3/13 Wed Test - Related Rates      
3/14 Thurs Introduce Graphing Polynomial Functions Power Point

y = x3-12x2+36x

  Graph:
y = x3-27x+10
3/15 Fri Continue Graphing Class-work -
y = x3 + 6x
2
y =
x4 - 4x3
  y = x3 - 9x2 + 24x - 7
CW and HW Answers

Week 25
Date Day Topic Notes Handouts Homework
3/4 Mon Continue Related Rates Related Rates 2 Related Rates 3 Related Rates 4
Related Rates 5
  This Link
Practice Questions
2,6,7,8,10,11
3/5 Tues Trigonometric Related Rates Overhead Questions    
3/6 Wed 25 Point Classwork on Related Rates   25 Point Classwork Assignment  
3/7 Thurs Design your own related rates problem      
3/8 Fri No School - Superintendent's Conference Day      

Week 24
Date Day Topic Notes Handouts Homework
2/26 Mon "e" and "ln" derivative rules
Introduction to Implicit Differentiation
Overhead Notes   Red textbook Exercise Set 3.6
#s 11-20 all

This link: Practice Questions
#1-13 ODDS
2/27 Tues Implicit Differentiation at a specific point Overhead   This Link - Practice Questions
#s 16,17,21,22
2/28 Wed Continue Implicit Differentiation, Introduce Secant Derivative Implicit Problems 2 Answers to Implicit Problems 2 Graded Class Assignment
2/29 Thurs Finish Implicit Differentiation, begin Related Rates Related Rates Power Point Related Rates Beginning Questions Related Rates Intro HW
3/1 Fri More Difficult Related Rates Related Rates 1
Related Rates 2 Related Rates 3 Related Rates 4
  Finish ALL Related Rates Questions from today's notes

Week 23
Date Day Topic Notes Handouts Homework
2/12 Mon Techniques of Differentiation- Power Rule and Chain Rule Techniques Power Point Power Rule Practice Red Textbook Exercise Set 3.5 #s 2, 6, 9, 11, 18, 31

This Link #s 3, 9, 11, 15, 17, 20
2/13 Tues No School - Snow Day      
2/14 Wed Techniques of Differentiation - Product Rule and Quotient Rule Practice Questions

Practice Answers

  Red Textbook Exercise Set 3.3
#s 15, 17, 21, 28

This Link
Practice Questions 1-9 odd, and 11a, 11b, 13a
2/15 Thurs Mixed Practice: 5 Techniques of Differentiation      
2/16 Fri Quiz: Techniques of Differentiation      

Week 22
Date Day Topic Notes Handouts Homework
2/5 Mon Review for Limits Quiz   Review Sheet 1
Review Answers1

Review Sheet 2
Review Answers1

Study for Quiz tomorrow
2/6 Tues Quiz - Limits      
2/7 Wed Intro to Definition of Derivative Sketch   y = x3 by definition
2/8 Thurs Continue Definition of Derivative PowerPoint   y = x2 - 5x
y = x3 + 4x + 3
y = x4
Do by definition of derivative. One sentence explaining any pattern you have observed.
2/9 Fri Techniques of Differentiation- Power Rule and Chain Rule Techniques Power Point Power Rule Practice Red Textbook Exercise Set 3.3 #s 2,4,12,13

This link Practice Questions
#s 2-18 even only
2,4,12,13

Week 21
Date Day Topic Notes Handouts Homework
1/29 Mon More Visual Limits, Limit Overheads

 

  Exercise Set 2.4 #s 10,13
This link #2,4.6.7.8
This link # 1,13
1/30 Tues Begin Algebraic Limits Algebraic Limit Notes   Exercise Set 2.5
#s 1-15 odd and #s 37,41
This link #s 3, 5,7,9,11,13
1/31 Wed Practice Algebraic Limits Algebraic Limit Practice 1

Algebraic Limit Practice 2

Red Textbook Exercise Set 2.5
#s 14,16,17
This link #s 1-21 odd, 24,26
This link #s 7,9
For the links, always do the "Practice Questions" NOT the "Notes" questions
2/1 Thurs Algebraic Infinity Limits Infinity Limits PowerPoint Infinity Limits Practice Red Textbook Exercise Set 2.5
#s 19-29 and 51-56

This Link #s 1-27 odd
2/2 Fri Go over any Infinity Limit Questions

Multiple Representation of Limits
Types of Discontinuities
Defining Continuity
Removing Discontinuities
  WORKBOOK LINK HERE 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)

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

Begin Are You Ready for Calculus? Packet
  Are You Ready for Calculus Packet Page 1 Finish Page 1
1/23 Tues Are You Ready for Calculus?   Are You Ready for Calculus Packet Page 2 Finish Page 2
1/24 Wed Class Review - Go over any questions on packet      Study Groups! - Test Thursday on PreCalculus and Trig material 

Ready For Calculus Page 2 Answers
1/25 Thurs Test - Are You Ready for Calculus      
1/26 Fri Introduce Visual Limits Visual Limit PowerPoint   If you have a Blue Textbook
it's Page 110-11. If you have a red textbook, it's page 85-87
#s: 1-6 all
#s: 8, 11

Week 19
Date Day Topic Notes Handouts Homework
1/15 Mon No School -
MLK Jr Day
     
1/16 Tues Finding Determinant of Matrices Determinant Practice Problems   Green Textbook
Page 613
#s 10, 29
Don't read the directions, just find the determinant.
1/17 Wed Applications of Determinants - Cramer's Rule for Solving Simultaneous Equations, Area of a Triangle Cramer's Rule Power Point   Green Textbook
Page 625
#s 13,15,21, 24, 26
1/18 Thurs Review for Matrix Test Practical Matrix Power Point Matrix Review Sheet

Matrix Review Sheet 2
StudyE ARE THE MATRIX REVIEW PACKET ANSWERS!!!
1/19 Fri Test- Matrices      

Week 18
Date Day Topic Notes Handouts Homework
1/8 Mon Finding Directional Angle and Magnitude of a Vector Power Point - Directional Angle of a Vector   Find the magnitude and directional angle of each vector
v = 6i - 6j
v = -5i + 4j

Reminder: MATH MEET TODAY
1/9 Tues Vectors - Finding Wind Affected Flight Paths Component Form Power Point Vector Practice Questions Convert to component form:
1) Bearing 225 degrees, velocity 300 mph
2) Bearing 130 degrees, velocity 175 mph
1/10 Wed Review for Trig and Vectors Quiz Extra Vector Practice Questions

Answers to Extra Vector practice Questions
Vector Review Sheet

Review Sheet Answers
STUDY!!

1/11 Thurs Quiz - Vectors      
1/12 Fri Introduction to Matrices Matrix Intro
Power Point


Matrix Video
Matrix Multiplication Practice Worksheet Finish Multiplication worksheet

Week 17
Date Day Topic Notes Handouts Homework
1/1 Mon No School -
Happy New Year!
     
1/2 Tues Begin Systems of Equations Class Problems Page 646
#s 15, 19
1/3 Wed Continue 3x3 Systems of Equations

Class Assignment
  25 Point Systems Class work 25 Point Assignment Due Tomorrow
1/4 Thurs Mr. Izzo - Jury Duty
Work on projects
  Projects Due Tomorrow
1/5 Fri Introduce 4x4 Systems of Equations Class Problem 25 Point 4x4 Classwork Assignment 25 Point 4x4 Assignment Due Before 1st bell tomorrow

Week 16
Date Day Topic Notes Handouts Homework
12/18 Mon Review for Trig Applications Quiz

Work on Stadium Project
  Review Sheet Study!!

Here are review sheet answers!
12/19 Tues Work on Stadium Project      
12/20 Wed Continue Review for Trig Applications Quiz   Review Sheet Study!!

Here are review sheet answers!
12/21 Thurs Quiz - Trig Applications    
12/22 Fri Work on Stadium Project   PROJECT DUE FRIDAY, JANUARY 5th!!!

Week 15
Date Day Topic Notes Handouts Homework
12/11 Mon More practice with RPM conversions Linear and Angular Speed Power Point    
12/12 Tues Group Assignment - Linear Speed, Angular Speed, Area of a Sector of a Circle, and Revolutions per minute.   Group Assignment - Linear Speed, Angular Speed, Area of a Sector of a Circle, and Revolutions per minute Finish Group Assignment
12/13 Wed Trig Review: Pythagorean Theorem, SohCahToa, Law of Sines, Law of Cosines     Page 510
#s 11,18,19
Page 518
#s 2,6,19,20
12/14 Thurs More Work with Law of Cosines Power Point - Law of Cosines   Page 511
#s 24,26, 29 part "d" only

Page 519-520
#s 32, 38
Why does #38 seem stupid?
12/15 Fri Heron's Formula,
Practice Law of Sines and Law of Cosines
Power Point - Heron's   Finish ALL slides from today's Power Point

Week 14
Date Day Topic Notes Handouts Homework
12/4 Mon Finish Trig Equations -
Practice and Double-Angle Formulas
Power Point   Begin Secondary Review Sheet
**There's a Typo. It's obviously 9 identities, NOT 5
12/5 Tues More Double-Angle Problems
Finish Secondary Review Sheet
Power Point   Finish Secondary Review Sheet
**There's a Typo. It's obviously 9 identities, NOT 5
12/6 Wed Finish Review for TEST   Review Sheet

ANSWERS TO REVIEW SHEET!!!
Study!

Don't forget to look at the ANSWERS TO REVIEW SHEET!!!
12/7 Thurs TEST - 7 Keys to Trig, Trig Identities, and Trig Equations      
12/8 Fri Begin New Trigonometric Formulas:
Linear Speed and Angular Speed
Linear and Angular Speed Power Point   Page 291 #112, try 113

Week 13
Date Day Topic Notes Handouts Homework
11/27 Mon Begin Trigonometry:
Reference Angles, Inverse Functions, Reciprocal Functions
Reference Angles - Day 1 7 Keys to Trig Page 489 #s 1,3,5
Page 501 #s 7-22 all
11/28 Tues Working with more difficult identities - Pythagorean substitutions Introduction to Identities PowerPoint

How to get the 9 Trig Identities
Class Work Problems

Class-Work Problem Answers Explained
 
11/29 Wed Verifying Trig Identities in an Equation Trig Identities Power Point Notes   Page 541
#s: 42, 64
11/30 Thurs Solving Trigonometric Equations - Day 1 Trig  Equations Power Point t
- Method 1,2,3
Trig Reference Sheet Try this problem:
4sin2xcosx - cosx = 0
12/1 Fri Continue Solving Trig Equations Trig  Equations Power Point
- Method 4,5,6
   

Week 12
Date Day Topic Notes Handouts Homework
11/20 Mon AP Practice Questions that can be done knowing only PreCalculus 2012 AP AB Multiple Choice

2013 International Practice Exam
  2012 AP AB Multiple Choice
#s 9, 21, 77

2013 International Practice Exam
# 9
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 Finish Exponential Equations: r-factor of contagious diseases R-Naught Power Point   Math Meet Thursday 2pm
11/14 Tues Exponential Equations: Financial Applications Exponential Growth Equations Applications:  The Good, The Bad, and The Ugly

  Finish the "Ugly" Slide
11/15 Wed Review for Logs/Exponents Test   Review Sheet 1

Review Sheet 2
Math Meet Thursday 2pm
11/16 Thurs Review for Logs/Exponents Test   Review Sheet 1

Review Sheet 2
Math Meet Today 2pm

TEST TOMORROW
Answers to Review Packet
11/17 Fri Test - Logs and Exponents      

Week 10
Date Day Topic Notes Handouts Homework
11/6 Mon Conic Sections Project Presentations    
11/7 Tues No Students -
Election Day
 
11/8 Wed Logarithmic/Exponential Conversions Logarithmic Warm-Up Page 372-373
#s 6,9,36,47,
11/9 Thurs Growth and Decay Questions Exponential Application Power Point   Do problem from last slide on today's PowerPoint
11/10 Fri No School -
Veterans Day
     

Week 9
Date Day Topic Notes Handouts Homework
10/30 Mon Review for Conic Section Quiz   Review Sheet Review Sheet Answers
and Study!
10/31 Tues Last lesson for project:
- Cutting Domains
- Draw and Text Commands
    "Cut" all of your conic sections on your calculator
11/1 Wed Quiz - Conic Sections     Projects Due Monday!
11/2 Thurs Last Class Day to Work on Projects     Projects Due Monday!
11/3 Fri Conic Sections Group Activity     Projects Due Monday!

Week 8
Date Day Topic Notes Handouts Homework
10/23 Mon Mr. Izzo Absent
Family Event Out-of-State
   
10/24 Tues Introduction to Conic Sections Conic Sections Power Point This Page #s 2,6,7,10,21,23
Make sure you graph them all!!
10/25 Wed Class Assignment on Conic Sections
Conic Sections - Intro to Project
Conic Sections Practice Problems Overhead

Project Demo
Project Guidelines Have project concept design done by tomorrow morning
10/26 Thurs Conic Sections - Work on Project Project Demo Project Guidelines Finish Graphing Stage
10/27 Fri Continue Conic Sections Project -Solving each graph equation for "y"  Project Demo Project Guidelines Work on Conic Section Project - solve all equations for "y"

Week 7
Date Day Topic Notes Handouts Homework
10/16 Mon More Difficult Composition of Functions   More Difficult Composition of Functions Worksheet Finish Worksheet

Math Meet Today!!
Cafeteria 2:05-3:00pm
10/17 Tues Domain and Range of a Piecewise Function

Direct and Inverse Variation with a "k" constant
Overhead 2

Variation Power Point
 
Page 172-173
#s18, 21, 27, 28, 32
10/18 Wed Variation Practice Variation Power Point

Review Page 1
Review Page 2
  Page 172-173
#s 22,23,24
10/19 Thurs Review for Functions Test   Review Page 3
Review Page 4
Review Page 5
Review Page 6
STUDY FOR TEST!!!!!!

Here are my ANSWERS for Review Pages 3,4,5,6
10/20 Fri Test - Functions      

Week 6
Date Day Topic Notes Handouts Homework
10/9 Mon No School -
Columbus Day
     
10/10 Tues Begin Graphing Unit II:
Parabolas and Absolute Value Functions
Overhead 1
Overhead 2
   
10/11 Wed Continue Graphing Parabolas and Absolute Value Functions Overhead 1
Overhead 2
Overhead 3
   
10/12 Thurs Continue Graphing Parabolas and Absolute Value Functions
Introduce Greatest Integer Functions
Overhead 4
Overhead 5  
  Create a step or greatest integer function based off of a real-life situation.
10/13 Fri Composite Functions -
fog(x), gof(x), Domain and Range
Overhead 1

Overhead 2
Composition of Functions Worksheet Math Meet Monday!!
Cafeteria 2:05-3:00pm

Week 5
Date Day Topic Notes Handouts Homework
10/2 Mon Rational Expressions - Oblique Asymptotes Oblique Power Point   Page 322
# 53
10/3 Tues Oblique Asymptotes - Day 2 Oblique Practice Questions   Problems 2 and 3 from today's overhead
10/4 Wed Day 1 Review for Polynomial Graphing Test - Work on Odds   Review Sheet Finish Odd Numbered Questions on Review Sheet

Here are the ANSWERS for the odd numbered questions
10/5 Thurs Day 2 Review for Polynomial Graphing Test - Work on Evens   Review Sheet Study!

Here are the ANSWERS for the even numbered questions
10/6 Fri Test - Graphing Rational Expressions      

Week 4
Date Day Topic Notes Handouts Homework
9/25 Mon No School -
Yom Kippur
     
9/26 Tues Continue Graphing Polynomial Functions - Review for Test Polynomial Roots Extra Practice Polynomial Review Sheet Study for quiz!
There's a mistake on the Review Sheet - Question # 6 should say
p(x) = x4 x3 - 7x2 + x + 6
I fixed it on the review sheet if you want to re-download

Extra Long Division Problem:
x4 + 6x3 - 5x2 + 3x + 4

(x - 2)
9/27 Wed Test -
Polynomial Roots and Graphing
     
9/28 Thurs Begin Graphing Rational Expressions Rational Expressions Power Point (Pages 3 and 4)   Finish Rational Graphing Questions on Last Slide of PowerPoint
9/29 Fri Practice Rational Graphs with Asymptotes   Rational Graphs Practice Finish ALL 5 questions from the rational graphs practice
<------

Also, Txtbk Page 322
#s 33,35

Week 3
Date Day Topic Notes Handouts Homework
9/18 Mon Return to Factoring   Factoring Review Sheet  
9/19 Tues Begin roots of polynomials Polynomial Roots Beginning Questions Class work Questions Page 287
#s 11,15,17
9/20 Wed Practice finding rational roots of Polynomials

DesCartes Rule of Signs and
Boundedness
Polynomial Roots Practice More Polynomial Roots Practice Page 287
#s 5,9,10,22
9/21 Thurs Class Assignment - Polynomial Roots   25 Point Class Assignment Practice Question
p(x) = 4x4-1x3-28x2-17x + 6
9/22 Fri Graphing Polynomial Functions Graphing Polynomials PowerPoint Classwork Questions Page 269
#35

Week 2
Date Day Topic Notes Handouts Homework
9/11 Mon Continue Reviewing 
Summer Assignment
    Test on Review Material - Friday, September 15

Make sure you are comfortable with Review Packet numbers 55-84) Work on any you are unsure of and ask questions tomorrow
9/12 Tues Continue Reviewing 
Summer Assignment
    Test on Review Material - Friday, September 15

Make sure you are comfortable with Review Packet numbers 85-108) Work on any you are unsure of and ask questions tomorrow
9/13 Wed Continue Reviewing 
Summer Assignment
    Test on Review Material - Friday, September 15

Make sure you are comfortable with Review Packet numbers 109-140) Work on any you are unsure of and ask questions tomorrow
9/14 Thurs Continue Reviewing 
Summer Assignment

Last day to ask questions!
    Test TOMORROW on Review Material - Friday, September 15
9/15 Fri Test - Review Material from last year

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

Review Summer Assignment - Algebra and Logs
Parent Letter Course Syllabus Get 5 Subject Notebook and Folder
Have Parents Sign and Print Parent Letter

Make sure you are comfortable with Review Packet Pages 1 and 2 (This is numbers 1-27) Work on any you are unsure of and ask questions in class tomorrow
9/8 Fri Continue Reviewing 
Summer Assignment
    Test on Review Material - Friday, September 15

Make sure you are comfortable with Review Packet Pages 3 and 4 (This is numbers 28-54) Work on any you are unsure of and ask questions Monday