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Calculus 201819
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 xaxis, 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 "mostaccurate" 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 = x^{2}+9, y = 2x + 1, x≥ 0.
Find volume if region is revolved around yaxis 
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 = x^{3} + x^{2} [0,3] 
3/28 
Thurs 
Continue Volumes of Revolution  Washers 
Volumes of Revolution
Formulas 

Find volume of the region bounded by y = x^{3}
and y = x [0,1] revolved around xaxis 
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) = x^{2} + 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 USubstitution
Test 

Extra USub 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
Week 24
Week 23
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 = x^{3} [0,1] 
2/6 
Wed 
Exact Area Using Infinite Rectangles 
y = x^{2} [0,3] 

y = x^{3} [0,3]
y = x^{2} [0,4] 
2/7 
Thurs 
Exact Area Using Infinite Rectangles cont'd 
y = x^{2} + 5x [0,3]
y = x^{2}  3x [0,2] 


2/8 
Fri 
Exact Area Using Infinite Rectangles cont'd

y = 4x^{2} [0,6]
y = x^{2} + 3x [0,2]
y = x^{3} + x^{2} [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, k^{2}, k^{3} 
Power Point 


1/25 
Fri 
LeftHand and Right Hand Area Approximations 


RightHand Approximation of
y = x^{2} + 5 [04] 8 subintervals 

Week 19
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) = t^{3} 9t^{2} + 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  Playyards and school
facilities 
Overhead 
Take Home Assignment 
Optimization TakeHome Due
Friday 12/21 
12/18 
Tues 
Review for Optimization Test 

Review Sheet
Review Answers 
STUDY!!
Optimization TakeHome Due Friday 12/21 
12/19 
Wed 
TEST  Optimization 


Optimization TakeHome 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 TakeHome 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 = x^{3} 12x^{2} + 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
Week 12
Date 
Day 
Topic 
Notes 
Handouts 
Homework 
11/19 
Mon 
Practice first
two techniques of Polynomial Graphing 
Practice
Problems:
y = x^{4}  6x^{3 }+ 1 


11/20 
Tues 
Continue to practice first
two techniques of Polynomial Graphing 
y = 10x
x^{2}  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 = x^{3}12x^{2}+36x 

Graph:
y = x^{3}27x+10 
11/14 
Wed 
Continue Graphing 
Classwork 
y = x^{3} + 6x^{2
y = }x^{4}  4x^{3} 

y = x^{3}  9x^{2} + 24x  7
CW and HW Answers 
11/15 
Thurs 
Graphing  Rational Functions  Points of
NonDifferentiability, etc 
y = 8
4  x^{2
}Answer 

Extra Practice Question
Also practice: y = x^{4}  10x^{2} + 25 
11/16 
Fri 
Polynomial Graphs Rational Functions 
y = 2x^{2} 8
x^{2
} 16Answer 



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
Week 8
Week 7
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
Week 4
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
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 PreCalc 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 PreCalc Review 

Ready For Calculus Worksheet 
Finish
Questions 16 
9/7 
Fri 
MORE "Are
you ready for Calculus" 
Go over
questions 16 
Ready For Calculus Worksheet 
Finish Questions 712 

