Mr. Izzo
Mt. Sinai High School
Mathematics Department

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Calculus 2017-18

 

Classes:
  
Financial Math
   Calculus
  

Extra Help
PowerSchool

 

 

   
Calculus 2017-18

Week 37
Date Day Topic Notes Handouts Homework
6/4 Mon Finish Working on Final Exam Reference Sheet      
6/5 Tues Final Exam Day 1    
6/6 Wed Final Exam Day 2    
6/7 Thurs Farewell Seniors!!      
6/8 Fri Senior Picnic      

Week
36
Date Day Topic Notes Handouts Homework
5/28 Mon No School -
Memorial Day
     
5/29 Tues Final Exam Review -
Questions 9 & 10
   
5/30 Wed Final Exam Review -
Questions 11 & 12
   
5/31 Thurs Final Exam Review -
Questions 13 & 14
     
6/1 Fri Begin Working on Final Exam Reference Sheet      

Week
35
Date Day Topic Notes Handouts Homework
5/21 Mon Begin Final Exam Review -
Questions 1 & 2
     
5/22 Tues Final Exam Review -
Questions 3 & 4
     
5/23 Wed Final Exam Review -
Questions 5 & 6
   
5/24 Thurs Final Exam Review -
Questions 7 & 8
     
5/25 Fri Mathemagic Art Benjamin Video    

Week
34
Date Day Topic Notes Handouts Homework
5/14 Mon Test - Separable Differential Equations      
5/15 Tues Introduction to and Creating Slope Fields Classwork Problems   dy/dx = x2/y
5/16 Wed Matching Slope fields and Creating Solution Curves   Overhead Worksheet  
5/17 Thurs Review for Slope Fields Quiz   Review Sheet Study
5/18 Fri Quiz - Slope Fields      

Week
33
Date Day Topic Notes Handouts Homework
5/7 Mon Begin Separable Differential Equations Overhead    
5/8 Tues More Work with Separable Differential Equations Overhead Problems    
5/9 Wed No Class -
Scholarship Meeting
   
5/10 Thurs Applications of Separable Differential Equations Power Point Do Questions 1-4 on this sheet
5/11 Fri Review for Separable Differentials Test   Review Sheet

Review Sheet Answers
 

Week
32
Date Day Topic Notes Handouts Homework
4/30 Mon Water Bottle Project     Have volumes of each zone calculated using "disks."
5/1 Tues Water Bottle Project     Tie up all looses ends. Project Posters due Monday
5/2 Wed "e" and "ln" derivatives and Integrals Overhead Finish Overhead
5/3 Thurs Continue "e" and "ln" derivatives and Integrals 30 point class assignment    
5/4 Fri College Pride Day    

Week
31
Date Day Topic Notes Handouts Homework
4/23 Mon Review for Volume Test Review Sheet

Review Sheet Answers
Study!!
4/24 Tues Test - Volumes of Revolution      
4/25 Wed Begin Water Bottle Project Trace Bottle, Insert x-axis, create behavior zones
4/26 Thurs Water Bottle Project     Have all zone heights measured and in table form
4/27 Fri Water Bottle Project Have "most-accurate" regression equation calculated for each zone

Week
30
Date Day Topic Notes Handouts Homework
4/16 Mon Introduce Volumes of Revolution - Disks y = x3 + x2 [0,3]
4/17 Tues 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
4/18 Wed More Difficult Disk and Washer Questions   Classwork Assignment Finish class work assignment
4/19 Thurs 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

4/20 Fri Cylindrical Shells Classwork Overhead   Finish Shells CW

Week
29
Date Day Topic Notes Handouts Homework
4/9 Mon Finding the Area Between Two Curves Overhead Find the area between curves
f(x) = -x2 + 9
g(x) = x + 2
interval [0,2]
4/10 Tues Area Between Two Curves when top curve switches within interval      
4/11 Wed Review for Average Value and Area Between 2 Curves   Review Sheet

Review Sheet Answers

Study
4/12 Thurs Quiz - Average Value of a Function/2nd Fundamental Thm/Area Between Two Curves      
4/13 Fri    

Week
28
Date Day Topic Notes Handouts Homework
3/26 Mon Test - U-Substitution      
3/27 Tues Average Value of a Function and 2nd Fundamental theorem of Calculus Overhead  
3/28 Wed Finding the Area Between Two Curves Overhead Find the area between curves
f(x) = -x2 + 9
g(x) = x + 2
interval [0,2]
3/29 Thurs Area Between Two Curves when top curve switches within interval      
3/30 Fri No School -
Spring Break Begins
 

Week
27
Date Day Topic Notes Handouts Homework
3/19 Mon Begin Review for U-substitution Test   U-Sub Practice Questions  
3/20 Tues Review for U-Substitution Test   Review Sheet

Review Sheet Answers

Extra Review Sheet with Answers

Study!!
3/21 Wed No Class - Snow Day      
3/22 Thurs No Class - Snow Day    
3/23 Fri Extra Review for U-Sub quiz because of snow Extra U-Sub review questions  

Week
26
Date Day Topic Notes Handouts Homework
3/12 Mon Pass back and go over Beginning Integration Test      
3/13 Tues Introduce Fractional Power Integration      
3/14 Wed U-Substitution and Indefinite Integrals       ∫  3x(1-2x2)1/2  dx
3/15 Thurs Trig U Substitution and Practice Problems U-Sub Practice Problems    
3/16 Fri More Difficult U-Sub Problems U-Sub Practice Problems

Worksheet Answers

Finish worksheet

Week
25
Date Day Topic Notes Handouts Homework
3/5 Mon Absent Students from Friday take Integration Test      
3/6 Tues The Mathematics of Senior Trip      
3/7 Wed No Class -
Senior Trip
   
3/8 Thurs No Class -
Senior Trip
     
3/9 Fri No Class -
Senior Trip
     

Week
24
Date Day Topic Notes Handouts Homework
2/26 Mon Techniques of Integration - Power Rule Integration  Power Point    
2/27 Tues More work with Power Rule Integration   Classwork

Classwork Answers

Textbook
Section 5.6 #s 14, 15, 17
2/28 Wed Integration Classwork and Trig Integrals Trig Integrals Chart Classwork

Classwork Answers

3/1 Thurs Review for Beginning Integration Test   Review Sheet STUDY!!!!!!!!!
3/2 Fri Test-  Beginning Integration      

Week
23
Date Day Topic Notes Handouts Homework
2/12 Mon Exact Area Using Infinite Rectangles cont'd y = x2 + 3x [0,2]
y = x3 + x2 [0,4]
   
2/13 Tues Area Approximation and Infinite Rectangles Review Review Problems   Review Questions Answers and Explanations
2/14 Wed Quiz - Area Calculation and Infinite Rectangles      
2/15 Thurs Area Calculation with Infinite Rectangles when the interval doesn't start at Zero     Take Home Assignment
Due Monday

y = x2 [1,3]
y = x2 [2,6]
2/16 Fri Techniques of Integration - Power Rule     Finish Take Home Assignment

Week
22
Date Day Topic Notes Handouts Homework
2/5 Mon Midpoint Approximation Assignment    
2/6 Tues Exact Area Using an infinite number of rectangles Riemann Sums explained   y = x3 [0,1]
2/7 Wed Exact Area Using Infinite Rectangles y = x2 [0,3]   y = x3 [0,3]
y = x2 [0,4]
2/8 Thurs Exact Area Using Infinite Rectangles cont'd y = x3 [0,4]
y = x2 [0,5]
   
2/9 Fri Exact Area Using Infinite Rectangles cont'd
9th period no class b/c assembly
y = x2 + 3x [0,2]
y = x3 + x2 [0,4]
 

Week
21
Date Day Topic Notes Handouts Homework
1/29 Mon Review for Area Approximation and Summation Quiz   Review Sheet

Review Sheet Answers

Study
1/30 Tues No School -
Snow Day
     
1/31 Wed Go over Review Sheet   Review Sheet

Review Sheet Answers

Study
2/1 Thurs Quiz - Area Approximation and Summations      
2/2 Fri Midpoint Assignment    

Week
20
Date Day Topic Notes Handouts Homework
1/22 Mon Presentations- Roller Coaster Project    
1/23 Tues Left-Hand and Right Hand Area Approximations     Right-Hand Approximation of
y = x2 + 5 [0-4] 8 subintervals
1/24 Wed Circumscribed and Inscribed Approximations Classwork Questions     Try Questions 1 and 4
1/25 Thurs Circumscribed and Inscribed Approximations - Go over Questions 1+ 4 Classwork Questions    
1/26 Fri Circumscribed and Inscribed Approximations - Questions 2 + 3 Classwork Questions    

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