Mr. Izzo
Mt. Sinai High School
Mathematics Department

email Mr. Izzo: Click Here

Calculus 2017-18

 

Classes:
  
Financial Math
   Calculus
  

Extra Help
PowerSchool

 

 

   
Calculus 2017-18

Week 19
Date Day Topic Notes Handouts Homework
1/15 Mon No School -
Martin Luther King Jr. Day
     
1/16 Tues Sigma Notation and Summations - Intro Power Point    
1/17 Wed Sigma Notation and Summations- Scalar/Addition/Subtraction Power Point    
1/18 Thurs Summations - k, k2, k3 Power Point    
1/19 Fri Continue Summations -
k, k2, k3
Power Point    

Week
18
Date Day Topic Notes Handouts Homework
1/8 Mon Last Day of Straightforward particle motion sketches   Worksheet

Worksheet Answers

Finish Worksheet from class
1/9 Tues Rectilinear Motion - Stick Shift vs. Automatic Overhead    
1/10 Wed Rectilinear Motion

Motion in the Real World
Graph Overheads

PowerPoint
  Begin thinking of roller coaster design, model, name and presentation
1/11 Thurs Review for Rectilinear Motion Test   Review Sheet

Review Sheet Answers


Study for Test
1/12 Fri Test - Rectilinear Motion      

Week
17
Date Day Topic Notes Handouts Homework
1/1 Mon No School -
Happy New Year
   
1/2 Tues Introduction to Rectilinear Motion PowerPoint   s(t) = t3 -9t2 + 24t
1/3 Wed Rectilinear Motion Practice Overhead   Finish graphing position of question 2 from overhead
1/4 Thurs No School -
Snow Day
   
1/5 Fri No School -
Snow Day
     

Week
16
Date Day Topic Notes Handouts Homework
12/18 Mon Introduction to Newton's Approximation - Approximating square roots Newton's Approximation Power Point    
12/19 Tues Newton's Approximation: Roots of a polynomial and intersection of two curves

Mean Value Theorem and Rolle's Corollary
Newton's Approximation Power Point    
12/20 Wed Class Assignment - Newton's, MVT and Rolle's   Assignment  Finish assignment, study
12/21 Thurs Quiz - Newton's, etc      
12/22 Fri Emergency Dismissal Drill      

Week
15
Date Day Topic Notes Handouts Homework
12/11 Mon Optimization - Profit, and a second look at Parabolas Overhead 1
  Finish Question #2 and if time Question #3 on Overhead 2
12/12 Tues Continue Optimization Overhead 2 Take Home Assignment Optimization Take-Home Due Monday 12/18
12/13 Wed Optimization - Play-yards and school facilities Overhead    
12/14 Thurs Review for Optimization Test   Review Sheet

Review Answers

STUDY - And Optimization Take-Home Due Monday 12/19
12/15 Fri TEST - Optimization     Optimization Take-Home Due Monday 12/19

Week
14
Date Day Topic Notes Handouts Homework
12/4 Mon Group Assignment - Min and Max Extrema   Assignment Worksheet  
12/5 Tues Introduction to Optimization Overhead    
12/6 Wed Optimization continued - Creating the maximum volume box from a sheet of paper. Overhead   Try question #4
12/7 Thurs Optimization - The Long Island Buffalo Farm Question Overhead

Power Point
  Try question #4 on overhead
12/8 Fri Optimization Class work Overhead   Finish Question #4 from Overhead

Week
13
Date Day Topic Notes Handouts Homework
11/27 Mon Detailed Review - Go over questions 4 and 5 Extra Questions and Answers Review Sheet

Answers
Study!!
11/28 Tues Test - Graphing Polynomials      
11/29 Wed Extra Time for Test      
11/30 Thurs Introduction to Relative Extrema Overhead   Finish y = x3 -12x2 + 36x
12/1 Fri Continue Relative Extrema - Trig and Fractional Exponents Overhead    

Week
12
Date Day Topic Notes Handouts Homework
11/20 Mon Review for Polynomial Graphing Test - Questions 1 -3 Extra Questions and Answers Review Sheet

Answers
Finish Questions 1-3
11/21 Tues Detailed Review - Go over questions 1-3 Extra Questions and Answers Review Sheet

Answers
Do questions 4 and 5 over the break
11/22 Wed No School -
Thanksgiving Break
     
11/23 Thurs No School -
Thanksgiving Break
     
11/24 Fri No School -
Thanksgiving Break
     

Week
11
Date Day Topic Notes Handouts Homework
11/13 Mon Graphing - Rational Functions - Points of Non-Differentiability, etc y  =     8
        4 - x2
Answer
 

Extra Practice Question

Also practice: y = x4 - 10x2 + 25

11/14 Tues Polynomial Graphs Rational Functions y  =    2x2- 8
           x2 - 16

Answer

   
11/15 Wed
Financial Math Field Trip
    f(x) = 5x - 15
           x2-4
11/16 Thurs Polynomial Graphs - Fractional Exponents y = (x-4)2/3   y = (x + 2)1/3
11/17 Fri Fractional Exponents and Derivatives that Require Common Denominators Problems from Chalkboard   Finish problem #3 from board
y = 2x + 3x2/3

Week
10
Date Day Topic Notes Handouts Homework
11/6 Mon Go over Related Rates Test      
11/7 Tues No School for Students -
Election Day
11/8 Wed Introduce Graphing Polynomial Functions Power Point

y = x3-12x2+36x

  Graph:
y = x3-27x+10
11/9 Thurs Continue Graphing Class-work -
y = x3 + 6x2
y =
x4 - 4x3
  y = x3 - 9x2 + 24x - 7
CW and HW Answers
11/10 Fri No School -
Veterans' Day (observed)
     

Week
9
Date Day Topic Notes Handouts Homework
10/30 Mon More Product Rule and Replacement Practice Questions 2
10/31 Tues 25 Point Classwork on Related Rates   Classwork  
11/1 Wed Review for Related Rates Test   Review Sheet

Answers

Study!
11/2 Thurs Test - Related Rates      
11/3 Fri Related Rates Bonus Question - optional      

Week
8
Date Day Topic Notes Handouts Homework
10/23 Mon More Difficult Related Rates YouTube Clip

PowerPoint

Difficult Practice Questions Finish Difficult Questions
10/24 Tues Trigonometric Related Rates Overhead Questions    
10/25 Wed Trigonometric Related Rates Overhead Questions    
10/26 Thurs Related Rates - More Trig Applications Overhead   Finish Question # 5 from Overhead
10/27 Fri More Product Rule and Replacement   Practice Questions 2  

Week
7
Date Day Topic Notes Handouts Homework
10/16 Mon Review for Implicit Differentiation   Review Sheet Study!
Finish Review Sheet
Review Sheet Answers
10/17 Tues Review for Implicit Differentiation Day 2 Extra Practice Problems   Study!
10/18 Wed Quiz - Implicit Differentiation      
10/19 Thurs Introduction to Related Rates Power Point Practice Questions 1 Section 4.1 #s 8,13
10/20 Fri Continue Related Rates   Practice Questions 2 Finish Question 5 on Overhead

Week
6
Date Day Topic Notes Handouts Homework
10/9 Mon No School -
Columbus Day
     
10/10 Tues Continue Implicit Differentiation Overhead   Exercise Set 3.6 #s 30,31,33
10/11 Wed Continue Implicit Differentiation      
10/12 Thurs Implicit Differentiation at a specific point Overhead Graded Class Assignment If you were absent, print out graded assignment and hand in Monday 10/16
10/13 Fri No Class -
Pep Rally
   

Week
5
Date Day Topic Notes Handouts Homework
10/2 Mon 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.
10/3 Tues Begin Review for Differentiation Test   Review Sheet  
10/4 Wed Continue Review for Differentiation Test   2nd Review Sheet

2nd Review Sheet Answers

Study!
 
10/5 Thurs Test - Techniques of Differentiation      
10/6 Fri Begin Implicit Differentiation Notes   Exercise Set 3.6 #s 13,14,15,16

Week
4
Date Day Topic Notes Handouts Homework
9/25 Mon Intro to Definition of Derivative Sketch   y = x3 by definition
9/26 Tues 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.
9/27 Wed Techniques of Differentiation- Power Rule and Chain Rule Techniques Power Point Power Rule Practice Exercise Set 3.3 #s 2,4,12,13
9/28 Thurs Techniques of Differentiation - Product Rule and Quotient Rule Practice Questions

Practice Answers

   
9/29 Fri Practice All Techniques of Differentiation Practice Questions

Practice Answers

  Exercise Set 3.5 #s 16, 34, 35, 37

Week
3
Date Day Topic Notes Handouts Homework
9/18 Mon Algebraic Infinity Limits Infinity Limits PowerPoint Infinity Limits Practice Exercise Set 2.5 #s 21-29, 51-56
9/19 Tues Review for Limits Quiz   Review Sheet 1
Review Answers1

Review Sheet 2
Review Answers1

Study for Quiz tomorrow
9/20 Wed Quiz - Limits
     
9/21 Thurs No School -
Rosh Hashanah
     
9/22 Fri No School -
Rosh Hashanah
     

Week 2
Date Day Topic Notes Handouts Homework
9/11 Mon 9th period Make-Up Quiz due to Assembly Friday      
9/12 Tues Introduction to Limits Limit Overheads
YouTube Clip
  Exercise Set 2.4 #s 1, 2, 5, 6
9/13 Wed More Visual Limits, Limit Overheads

 

  Exercise Set 2.4 #s 10,13
 
9/14 Thurs Begin Algebraic Limits Algebraic Limit Notes   Exercise Set 2.5 #s 1, 4, 8, 13, 15
9/15 Fri Practice Algebraic Limits   Algebraic Limit Practice 1

Algebraic Limit Practice 2

Exercise Set 2.5 #s 14, 16, 17

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


Begin Pre-Calc Review
  Syllabus

Parent Letter

Ready For Calculus Workshe
et
1) Get 5 Subject Notebook 
2) Get Folder With Pockets
3) Print Out Parent Letter and Have Signed


Finish Questions 1-6
9/6 Wed Continue Pre-Calc Review   Ready For Calculus Worksheet Finish Questions 7-12
9/7 Thurs MORE "Are you ready for Calculus"   Ready For Calculus Worksheet 2

Finish All Questions #1-10 Study for Quiz

Ready For Calculus Worksheet 2 Answers
9/8 Fri Quiz - PreCalc Review