Mr. Izzo
Mt. Sinai High School
Mathematics Department

email Mr. Izzo: Click Here

Calculus 2018-19

 

Classes:
Algebra
Financial Math
Calculus
  

Extra Help
PowerSchool

 

 

    Calculus 2018-19

Week 38
Date Day Topic Notes Handouts Homework
6/10 Mon Final Exam - Day 1      
6/11 Tues Final Exam - Day 2      
6/12 Wed Emergency Make-Up Day      
6/13 Thurs Queensboro Bridge and Rockefeller Center Modeling Problem

Farewell Seniors!
     
6/14 Fri Graduation Rehearsal and Senior Picnic      

Week 37
Date Day Topic Notes Handouts Homework
6/3 Mon Students who participated in "Senior Skip Day" must take Slope Fields Quiz      
6/4 Tues Review for Final Exam Final Exam Review Questions 1,2,3,5,7,8,10,11,12,13,14

Review Question 4
Review Question 6
Review Question 9
  Prepare reference table

Final Exam on Monday 6/10 and Tuesday 6/11
6/5 Wed Review for Final Exam Final Exam Review Questions 1,2,3,5,7,8,10,11,12,13,14

Review Question 4
Review Question 6
Review Question 9
  Prepare reference table

Final Exam on Monday 6/10 and Tuesday 6/11
6/6 Thurs Review for Final Exam Final Exam Review Questions 1,2,3,5,7,8,10,11,12,13,14

Review Question 4
Review Question 6
Review Question 9
  Prepare reference table

Final Exam on Monday 6/10 and Tuesday 6/11
6/7 Fri Review for Final Exam Final Exam Review Questions 1,2,3,5,7,8,10,11,12,13,14

Review Question 4
Review Question 6
Review Question 9
  Prepare reference table

Final Exam on Monday 6/10 and Tuesday 6/11

Week 36
Date Day Topic Notes Handouts Homework
5/27 Mon No School -
Memorial Day Weekend
     
5/28 Tues No School -
Memorial Day Weekend
     
5/29 Wed Review for Slope Fields Quiz   Review Sheet Study
5/30 Thurs Calculus Field Trip - NYC      
5/31 Fri Quiz - Slope Fields    

Week 35
Date Day Topic Notes Handouts Homework
5/20 Mon Introduction to and Creating Slope Fields Classwork Problems   dy/dx = x2/y
5/21 Tues Matching Slope fields and Creating Solution Curves   Overhead Worksheet  
5/22 Wed Review for Slope Fields Quiz   Review Sheet Study
5/23 Thurs No School -
Memorial Day Weekend
     
5/24 Fri No School -
Memorial Day Weekend
     

Week 34
Date Day Topic Notes Handouts Homework
5/13 Mon Applications of Separable Differential Equations Power Point  
5/14 Tues Continue Applications of Separable Differential Equations Power Point Do Questions 1-4 on this sheet
5/15 Wed Review for Separable Differentials Test   Review Sheet

Review Sheet Answers
 
5/16 Thurs Review for Separable Differentials Test   Review Sheet

Review Sheet Answers
 
5/17 Fri Test - Separable Differential Equations      

Week 33
Date Day Topic Notes Handouts Homework
5/6 Mon No Class-
Too many students taking AP exams
   
5/7 Tues No Class-
Too many students taking AP exams
   
5/8 Wed No Class-
Too many students taking AP exams
   
5/9 Thurs More Work with Separable Differential Equations Overhead Problems    
5/10 Fri Class Assignment on Separable Differential Equations Class Assignment    

Week 32
Date Day Topic Notes Handouts Homework
4/29 Mon "e" and "ln":
Derivatives
Overhead Finish Overhead
4/30 Tues Continue "e" and "ln":
Integrals
     
5/1 Wed Continue "e" and "ln" derivatives and Integrals 30 point class assignment    
5/2 Thurs Begin Separable Differential Equations Overhead    
5/3 Fri College Pride Day      

Week 31
Date Day Topic Notes Handouts Homework
4/15 Mon Water Bottle Project     Tie up all looses ends. Project Posters due Wednesday
4/16 Tues Water Bottle Project     Tie up all looses ends. Project Posters due Wednesday
4/17 Wed Projects Due      
4/18 Thurs No School  -
Spring Break
     
4/19 Fri No School  -
Spring Break
     

Week 30
Date Day Topic Notes Handouts Homework
4/8 Mon Begin Water Bottle Project Trace Bottle, Insert x-axis, create behavior zones
4/9 Tues Water Bottle Project     Have all zone heights measured and in table form
4/10 Wed Water Bottle Project Have "most-accurate" regression equation calculated for each zone
4/11 Thurs Water Bottle Project     Have volumes of each zone calculated using "disks."
4/12 Fri Water Bottle Project     Tie up all looses ends. Project Posters due Wednesday

Week 29
Date Day Topic Notes Handouts Homework
4/1 Mon 3rd Volume Method - Cylindrical Shells Volumes of Revolution Formulas   Given the bounded region:
y = -x2+9, y = 2x + 1, x≥ 0.

Find volume if region is revolved around y-axis

4/2 Tues Cylindrical Shells Classwork Overhead   Finish Shells CW
4/3 Wed Review for Volume Test Review Sheet

Review Sheet Answers
Study!!
4/4 Thurs Test - Volumes of Revolution      
4/5 Fri Introduce Water Bottle Project  

Week 28
Date Day Topic Notes Handouts Homework
3/25 Mon Review for Average Value and Area Between 2 Curves   Review Sheet

Review Sheet Answers

Study!
3/26 Tues Quiz - Average Value of a Function/2nd Fundamental Thm/Area Between Two Curves      
3/27 Wed Introduce Volumes of Revolution - Disks y = x3 + x2 [0,3]
3/28 Thurs Continue Volumes of Revolution - Washers Volumes of Revolution Formulas   Find volume of the region bounded by y = x3 and y = x [0,1] revolved around x-axis
3/29 Fri More Difficult Disk and Washer Questions   Classwork Assignment Finish class work assignment

Week 27
Date Day Topic Notes Handouts Homework
3/18 Mon Go over U- substitution Test      
3/19 Tues Average Value of a Function and 2nd Fundamental theorem of Calculus Overhead  
3/20 Wed 2nd Fundamental Theorem of Calculus Overhead  
3/21 Thurs Finding the Area Between Two Curves Overhead Find the area between curves
f(x) = -x2 + 9
g(x) = x + 2
interval [0,2]
3/22 Fri Area Between Two Curves when top curve switches within interval      

Week 26
Date Day Topic Notes Handouts Homework
3/11 Mon Final Review for U-Substitution Test   Extra U-Sub review questions Study!!
3/12 Tues Test - U Substitution      
3/13 Wed Senior Trip      
3/14 Thurs Senior Trip      
3/15 Fri Superintendent's Conference Day -
No School for Students
     

Week 25
Date Day Topic Notes Handouts Homework
3/4 Mon U-Substitution and Indefinite Integrals       ∫  3x(1-2x2)1/2  dx
3/5 Tues Trig U Substitution and Practice Problems U-Sub Practice Problems    
3/6 Wed More Difficult U-Sub Problems U-Sub Practice Problems

Worksheet Answers

Finish worksheet
3/7 Thurs Begin Review for U-substitution Test   U-Sub Practice Questions  
3/8 Fri Review for U-Substitution Test   Review Sheet

Review Sheet Answers

Extra Review Sheet with Answers

Study!!

Week 24
Date Day Topic Notes Handouts Homework
2/25 Mon Techniques of Integration - Power Rule Integration  Power Point    
2/26 Tues More work with Power Rule Integration   Classwork

Classwork Answers

Textbook
Section 5.6 #s 14, 15, 17
2/27 Wed Integration Classwork and Trig Integrals Trig Integrals Chart Classwork

Classwork Answers

2/28 Thurs Review for Beginning Integration Test   Review Sheet

Review Sheet Answers
STUDY!!!!!!!!!
3/1 Fri Test-  Beginning Integration      

Week 23
Date Day Topic Notes Handouts Homework
2/11 Mon Area Approximation and Infinite Rectangles Review Review Problems   Review Questions Answers and Explanations
2/12 Tues Early Dismissal
Snow Day


Continue Area Approximation and Infinite Rectangles Review
Review Problems   Review Questions Answers and Explanations
2/13 Wed Quiz - Area Calculation and Infinite Rectangles      
2/14 Thurs Area Calculation with Infinite Rectangles when the interval doesn't start at Zero     Take Home Assignment
Due Friday

y = x2 [1,3]
y = x2 [2,6]
2/15 Fri Work on Take-Home Assignment      

Week 22
Date Day Topic Notes Handouts Homework
2/4 Mon Quiz - Approximation and Summation    
2/5 Tues Exact Area Using an infinite number of rectangles Riemann Sums explained   y = x3 [0,1]
2/6 Wed Exact Area Using Infinite Rectangles y = x2 [0,3]   y = x3 [0,3]
y = x2 [0,4]
2/7 Thurs Exact Area Using Infinite Rectangles cont'd y = x2 + 5x [0,3]
y = x2 - 3x  [0,2]
   
2/8 Fri Exact Area Using Infinite Rectangles cont'd
y = 4x2  [0,6]
y = x2 + 3x [0,2]
y = x3 + x2 [0,4]
 

Week 21
Date Day Topic Notes Handouts Homework
1/28 Mon Circumscribed and Inscribed Approximations Classwork Questions    
1/29 Tues Circumscribed and Inscribed Approximations - Go over Questions 1+ 4 Classwork Questions    
1/30 Wed Circumscribed and Inscribed Approximations - Questions 2 + 3 Classwork Questions    
1/31 Thurs Review for Area Approximation and Summation Quiz   Review Sheet

Review Sheet Answers

Study
2/1 Fri Quiz - Area Approximation and Summations      

Week 20
Date Day Topic Notes Handouts Homework
1/21 Mon No School -
Martin Luther King Day
   
1/22 Tues Sigma Notation and Summations - Intro Power Point Introduce Roller Coaster Project Roller Coaster Project Due Thursday - January 31st
1/23 Wed Sigma Notation and Summations- Scalar/Addition/Subtraction Power Point    
1/24 Thurs Summations - k, k2, k3 Power Point    
1/25 Fri Left-Hand and Right Hand Area Approximations     Right-Hand Approximation of
y = x2 + 5 [0-4] 8 subintervals

Week 19
Date Day Topic Notes Handouts Homework
1/14 Mon Rectilinear Motion - Stick Shift vs. Automatic Overhead    
1/15 Tues Rectilinear Motion

Motion in the Real World
Graph Overheads

PowerPoint
   
1/16 Wed Review for Rectilinear Motion Test   Review Sheet

Review Sheet Answers


Study for Test
1/17 Thurs Test - Rectilinear Motion      
1/18 Fri        

Week 18
Date Day Topic Notes Handouts Homework
1/7 Mon Review for Newton's Quiz      
1/8 Tues Quiz - Newton's, etc      
1/9 Wed Introduction to Rectilinear Motion PowerPoint   s(t) = t3 -9t2 + 24t
1/10 Thurs Rectilinear Motion Practice Overhead   Finish graphing position of question 2 from overhead
1/11 Fri Last Day of Straightforward particle motion sketches   Worksheet

Worksheet Answers

Finish Worksheet from class

Week 17
Date Day Topic Notes Handouts Homework
12/31 Mon No School -
Holiday Break
     
1/1 Tues No School -
Holiday Break
     
1/2 Wed Introduction to Newton's Approximation - Approximating square roots Newton's Approximation Power Point    
1/3 Thurs Newton's Approximation: Roots of a polynomial and intersection of two curves Newton's Approximation Power Point    
1/4 Fri Class Assignment - Newton's, MVT and Rolle's   Assignment  Finish assignment, study

Week 16
Date Day Topic Notes Handouts Homework
12/17 Mon Optimization - Play-yards and school facilities Overhead Take Home Assignment Optimization Take-Home Due Friday 12/21
12/18 Tues Review for Optimization Test   Review Sheet

Review Answers

STUDY!!

Optimization Take-Home Due Friday 12/21
12/19 Wed TEST - Optimization     Optimization Take-Home Due Friday 12/21
12/20 Thurs Work on Take Home Assignment      
12/21 Fri Mathematics of Christmas      

Week 15
Date Day Topic Notes Handouts Homework
12/10 Mon Optimization - The Long Island Buffalo Farm Question Overhead

Power Point
  Try question #4 on overhead
12/11 Tues Optimization Class work Overhead   Finish Question #4 from Overhead
12/12 Wed Optimization - Profit, and a second look at Parabolas Overhead 1
  Finish Question #2 and if time Question #3 on Overhead 2
12/13 Thurs Continue Optimization Overhead 2 Take Home Assignment Optimization Take-Home Due Monday 12/18
12/14 Fri Mr. Izzo - Instructional Rounds Comsewogue      

Week 14
Date Day Topic Notes Handouts Homework
12/3 Mon Introduction to Relative Extrema Overhead   Find the extreme values for
y = x3 -12x2 + 36x
Over the interval [-1,9]
12/4 Tues Continue Relative Extrema - Trig and Fractional Exponents Overhead    
12/5 Wed Group Assignment - Min and Max Extrema   Assignment Worksheet  
12/6 Thurs Introduction to Optimization Overhead    
12/7 Fri Optimization continued - Creating the maximum volume box from a sheet of paper. Overhead   Try question #4

Week 13
Date Day Topic Notes Handouts Homework
11/26 Mon Polynomial Graphs - Fractional Exponents y = (x-4)2/3   y = (x + 2)1/3
11/27 Tues Fractional Exponents and Derivatives that Require Common Denominators Problems from Chalkboard   Finish problem #3 from board
y = 2x + 3x2/3
11/28 Wed Review for Polynomial Graphing Test - Questions 1 -3 Extra Questions and Answers Review Sheet

Answers
Finish Questions 1-3
11/29 Thurs Detailed Review - Go over questions 4 and 5 Extra Questions and Answers Review Sheet

Answers
Study!!
11/30 Fri Test - Graphing Polynomials      

Week 12
Date Day Topic Notes Handouts Homework
11/19 Mon Practice first two techniques of Polynomial Graphing Practice Problems:
y = x4 - 6x3 + 1
   
11/20 Tues Continue to practice first two techniques of Polynomial Graphing y =    10x
        x2 - 9
   
11/21 Wed No School -
Happy Thanksgiving
     
11/22 Thurs No School -
Happy Thanksgiving
     
11/23 Fri No School -
Happy Thanksgiving
     

Week 11
Date Day Topic Notes Handouts Homework
11/12 Mon No School - Veterans Day      
11/13 Tues Introduce Graphing Polynomial Functions Power Point

y = x3-12x2+36x

  Graph:
y = x3-27x+10
11/14 Wed Continue Graphing Class-work -
y = x3 + 6x2
y =
x4 - 4x3
  y = x3 - 9x2 + 24x - 7
CW and HW Answers
11/15 Thurs Graphing - Rational Functions - Points of Non-Differentiability, etc y  =     8
        4 - x2
Answer
 

Extra Practice Question

Also practice: y = x4 - 10x2 + 25

11/16 Fri Polynomial Graphs Rational Functions y  =    2x2- 8
           x2 - 16

Answer

   

Week 10
Date Day Topic Notes Handouts Homework
11/5 Mon Review for Related Rates Test   Review Sheet

Answers

 
11/6 Tues No Students -
Election Day
     
11/7 Wed Go over review Sheet   Review Sheet

Answers

Study!
11/8 Thurs Test - Related Rates      
11/9 Fri 25 Point Classwork on Related Rates   Classwork  

Week 9
Date Day Topic Notes Handouts Homework
10/29 Mon More Difficult Related Rates YouTube Clip

PowerPoint

Difficult Practice Questions Finish Difficult Questions
10/30 Tues Trigonometric Related Rates Overhead Questions    
10/31 Wed Trigonometric Related Rates Overhead Questions    
11/1 Thurs Related Rates - More Trig Applications Overhead   Finish Question # 5 from Overhead
11/2 Fri Review for Related Rates Test   Review Sheet Related Rates Test will be 11/8

Week 8
Date Day Topic Notes Handouts Homework
10/22 Mon Review for Implicit Differentiation Day 2 Extra Practice Problems   Study!
10/23 Tues Quiz - Implicit Differentiation      
10/24 Wed Introduction to Related Rates Power Point Practice Questions 1 Section 4.1 #s 8,13
10/25 Thurs Continue Related Rates   Practice Questions 2  
10/26 Fri Continue Related Rates   Practice Questions 2 Finish Question 5 on Overhead

Week 7
Date Day Topic Notes Handouts Homework
10/15 Mon Begin Implicit Differentiation Notes   Exercise Set 3.6 #s 13,14,15,16
10/16 Tues Continue Implicit Differentiation Notes    
10/17 Wed Continue Implicit Differentiation Overhead   Exercise Set 3.6 #s 30,31,33
10/18 Thurs Implicit Differentiation at a specific point Overhead Graded Class Assignment If you were absent, print out graded assignment and hand in
10/19 Fri Review for Implicit Differentiation   Review Sheet Study!
Finish Review Sheet
Review Sheet Answers

Week 6
Date Day Topic Notes Handouts Homework
10/8 Mon No School -
Columbus Day
     
10/9 Tues Begin Review for Differentiation Test   Review Sheet  
10/10 Wed No Class -
PSAT Day / Freshmen Field Trip
     
10/11 Thurs Continue Review for Differentiation Test   2nd Review Sheet

2nd Review Sheet Answers

Study!
 
10/12 Fri Test - Techniques of Differentiation      

Week 5
Date Day Topic Notes Handouts Homework
10/1 Mon Continue Definition of Derivative PowerPoint   y = x2 - 5x
y = x3 + 4x + 3
Do by definition of derivative. One sentence explaining any pattern you have observed.
10/2 Tues Techniques of Differentiation- Power Rule and Chain Rule Techniques Power Point Power Rule Practice Exercise Set 3.3 #s 2,4,12,13
10/3 Wed Techniques of Differentiation - Product Rule and Quotient Rule Practice Questions

Practice Answers

   
10/4 Thurs Practice All Techniques of Differentiation Practice Questions

Practice Answers

  Exercise Set 3.5 #s 16, 34, 35, 37
10/5 Fri Equation of a Tangent Line and Normal Line Tangent Line Equation Practice Worksheet Finish Class Work Sheet. Do all questions as both a tangent line and a normal line.

Week 4
Date Day Topic Notes Handouts Homework
9/24 Mon Algebraic Infinity Limits Infinity Limits PowerPoint Infinity Limits Practice Exercise Set 2.5 #s 21-29, 51-56
9/25 Tues Review for Limits Quiz Limit Picture Review Review Sheet 1
Review Answers1

Review Sheet 2
Review Answers1

 
9/26 Wed Go over Review Sheets Study for Quiz tomorrow
9/27 Thurs Quiz - Limits
   
9/28 Fri Intro to Definition of Derivative Sketch   y = x3 by definition

Week 3
Date Day Topic Notes Handouts Homework
9/17 Mon Introduction to Limits Limit Overheads
YouTube Clip
  Exercise Set 2.4 #s 1, 2, 5, 6
9/18 Tues More Visual Limits, Limit Overheads

 

  Exercise Set 2.4 #s 10,13
 
9/19 Wed No School -
Yom Kippur
     
9/20 Thurs Begin Algebraic Limits Algebraic Limit Notes   Exercise Set 2.5 #s 1, 4, 8, 13, 15
9/21 Fri Practice Algebraic Limits   Algebraic Limit Practice 1

Algebraic Limit Practice 2

Exercise Set 2.5 #s 14, 16, 17

Week 2
Date Day Topic Notes Handouts Homework
9/10 Mon No School -
Rosh Hashana
     
9/11 Tues No School -
Rosh Hashana
 
9/12 Wed MORE "Are you ready for Calculus"   Ready For Calculus Worksheet 2

Finish All Questions #1-10
Ready For Calculus Worksheet 2 Answers
9/13 Thurs Review for Quiz Go over Questions 1-10    
9/14 Fri Quiz - PreCalc Review      

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


Begin Pre-Calc Review
  Syllabus

Parent Letter

1) Get 5 Subject Notebook 
2) Get Folder With Pockets
3) Print Out Parent Letter and Have Signed


9/6 Thurs Continue Pre-Calc Review   Ready For Calculus Worksheet Finish Questions 1-6
9/7 Fri MORE "Are you ready for Calculus" Go over questions 1-6 Ready For Calculus Worksheet Finish Questions 7-12