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Calculus
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Calculus 201718
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 = x^{2}/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 14 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 xaxis, 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 "mostaccurate" regression equation calculated for each zone 
Week 30
Date 
Day 
Topic 
Notes 
Handouts 
Homework 
4/16 
Mon 
Introduce Volumes of Revolution  Disks 


y = x^{3} + x^{2} [0,3] 
4/17 
Tues 
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 
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 = x^{2}+9, y = 2x + 1, x≥ 0.
Find volume if region is revolved around yaxis 
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) = x^{2} + 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  USubstitution 



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) = x^{2} + 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
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 
USubstitution and Indefinite Integrals 


∫ 3x(12x^{2})^{1/2 }dx 
3/15 
Thurs 
Trig U Substitution
and Practice Problems 
USub Practice Problems 


3/16 
Fri 
More Difficult USub Problems 
USub 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
Week 23
Date 
Day 
Topic 
Notes 
Handouts 
Homework 
2/12 
Mon 
Exact Area Using Infinite Rectangles cont'd 
y = x^{2} + 3x [0,2]
y = x^{3} + x^{2} [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 = x^{2} [1,3]
y = x^{2} [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 = x^{3} [0,1] 
2/7 
Wed 
Exact Area Using Infinite Rectangles 
y = x^{2} [0,3] 

y = x^{3} [0,3]
y = x^{2} [0,4] 
2/8 
Thurs 
Exact Area Using Infinite Rectangles cont'd 
y = x^{3} [0,4]
y = x^{2} [0,5] 


2/9 
Fri 
Exact Area Using Infinite Rectangles cont'd
9th period no class b/c assembly 
y = x^{2} + 3x [0,2]
y = x^{3} + x^{2} [0,4] 


Week 21
Week 20
Date 
Day 
Topic 
Notes 
Handouts 
Homework 
1/22 
Mon 
Presentations Roller Coaster
Project 



1/23 
Tues 
LeftHand and Right Hand Area Approximations 


RightHand Approximation of
y = x^{2} + 5 [04] 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, k^{2}, k^{3} 
Power Point 


1/19 
Fri 
Continue Summations 
k, k^{2}, k^{3} 
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) = t^{3} 9t^{2} + 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 TakeHome Due
Monday 12/18 
12/13 
Wed 
Optimization  Playyards and school
facilities 
Overhead 


12/14 
Thurs 
Review for Optimization Test 

Review Sheet
Review Answers 
STUDY  And Optimization
TakeHome Due Monday 12/19 
12/15 
Fri 
TEST  Optimization 


Optimization TakeHome 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 = x^{3} 12x^{2} + 36x 
12/1 
Fri 
Continue Relative Extrema  Trig and
Fractional Exponents 
Overhead 


Week 12
Week 11
Date 
Day 
Topic 
Notes 
Handouts 
Homework 
11/13 
Mon 
Graphing  Rational Functions  Points of
NonDifferentiability, etc 
y = 8
4  x^{2
}Answer 

Extra Practice Question
Also practice: y = x^{4}  10x^{2} + 25 
11/14 
Tues 
Polynomial Graphs Rational Functions 
y = 2x^{2} 8
x^{2
} 16Answer 


11/15 
Wed 
Financial Math Field Trip



f(x) =
5x  15
x^{2}4 
11/16 
Thurs 
Polynomial Graphs  Fractional Exponents 
y = (x4)^{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 + 3x^{2/3} 
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 = x^{3}12x^{2}+36x 

Graph:
y = x^{3}27x+10 
11/9 
Thurs 
Continue Graphing 
Classwork 
y = x^{3} + 6x^{2
y = }x^{4}  4x^{3} 

y = x^{3}  9x^{2} + 24x  7
CW and HW Answers 
11/10 
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
Week 7
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
Week 4
Week 3
Week 2
Date 
Day 
Topic 
Notes 
Handouts 
Homework 
9/11 
Mon 
9th period MakeUp 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

