***Welcome Back***

Looking forward to an exiting and successful year!
Your last names are attached on the desk in alphabetical order.
Please, look for your name and be seated.
Thank you!
Mrs. Hankollari
First Day of School
Day 1
8/18/2014
Objectives:
• Go over the classroom rules
and regulations.
• Go over the syllabus.
• Discuss expectations and
answer questions .
Assignment
• Homework
Review section 1.1.
Go over examples and
formulas.
Lines
Day 2
8/19/2014
• Objectives:
 Write the equation and
sketch the graph of the a
line given specific
information.
 Identify the relationship
between parallel lines,
perpendicular lines and the
slope.
Assignment
Class Work
• Go over summer
assignment front page.
• Go over equation of a line.
Homework
• Read the examples of
section 1.2
Section 1.2
Day 3
Functions and Graphs
8/20/2014
Objectives:
• Identify the domain and the
range of a function using its
graph or equation.
• Recognize even and odd
functions using equations and
graphs.
• Find the formula of a
piecewise function.
• Write and evaluate
compositions of functions
Assignment
Class work
Go over the power point
examples.
Homework
Page 17 # 1- 31 odd 41, and
45.
Section 1.2
Day 4
Functions and Graphs
8/21/2014
Objectives:
• Identify the domain and the
range of a function using its
graph or equation.
• Recognize even and odd
functions using equations and
graphs.
• Find the formula of a
piecewise function.
• Write and evaluate
compositions of functions
Assignment
Class work
• Go over Homework
• Go over examples with
transformations of graphs.
Class work/ Homework
.Check the problems written
on the board.
Sections 1.3-1.5
Exponential
and Logarithmic Functions
Day 5
8/22/2014
Objectives:
• Determine the domain the
range and the graph of
exponential function.
• Solve problems using
exponential function
• Definition of one to one
functions.
• Inverses functions .
• Logarithmic Function.
Properties of logarithms.
Application
Assignment
Class work
• Go over homework questions.
• Go over examples of inverse
functions and properties of
logarithms and exponents .
• Go over problems Page 25 # 24,
26 ,30.Page 39 # 36,40,and 42.
Homework
Review the lectures. Work on
problems page 24 # 7,9,11, 23, 27,
29.Page 39 #
33-41 odd.
Sections 1.1-1.5 Review
Day 6
8/25/2014
Objectives:
• Determine the domain the
range and the graph of
exponential function.
• Solve problems using
exponential function
• Definition of one to one
functions.
• Inverses functions .
• Logarithmic Function.
Properties of logarithms.
Application
Assignment
Class work
• Go over the homework
questions.
• Review for the quiz.
• Page 52 # 9, 11, 15, 19, 23,
27, 31, 35, 39, 41, 43 part a)
only, 61, and 63.
Sections 1.1-1.5 Quiz
Day 7
8/26/2014
Objectives:
• Determine the domain the
range and the graph of
exponential function.
• Solve problems using
exponential function
• Definition of one to one
functions.
• Inverses functions .
• Logarithmic Function.
Properties of logarithms.
Application
Assignment
Class work
Quiz
Section 1.6 Trigonometric Functions
Day 8
8/27 /2014
Objectives:
• Review definition of sin(x),
cos(x), tan(x), cot(x),sec(x),
csc(x).
• Review the graph of Trig
functions.
Assignment
Class Work
• Go over the quiz
• Review trigonometric
functions.
Homework
Check the problems written on
the board.
Section 1.6 Trigonometric Functions
Day 9
8/28 /2014
Objectives:
• Review definition of sin(x),
cos(x), tan(x), cot(x),sec(x),
csc(x).
• Review the graph of Trig
functions.
• Review invers trigonometric
functions.
Assignment
Class Work
• Go over hand out questions.
• Review trigonometric
functions.
Homework
Hand out
Section 1.6 Trigonometric Functions
Day 10
8/29 /2014
Objectives:
• Review definition of sin(x),
cos(x), tan(x), cot(x),sec(x),
csc(x).
• Review the graph of Trig
functions.
• Review invers trigonometric
functions.
Assignment
Class Work
• Go over hand out questions.
• Go over inverse
trigonometry function.
Homework Work
Check the problems written on
the board.
Section 1.6 Trigonometric Functions
Day 11
9/2/2014
Objectives:
• Review definition of sin(x),
cos(x), tan(x), cot(x),sec(x),
csc(x).
• Review the graph of Trig
functions.
• Review invers trigonometric
functions.
Assignment
Class Work
Finish the Handout .
Section 2.1
Rates of Change and Limits
Day 12
(9/3/2014)
Objectives:
• Average and instantaneous
rate of change.
• Definition of limit.
• Properties of limit.
• One-sided and two-sided
limit.
Assignment
Class Work
• Go over definition of limits
and examples.
• Go over examples page 62
# 4, 6,.
Homework
Page 62 # 1-15 odd .
Calculus = Limits + Derivatives+ Integrals
Section 2.1
Day 13
Rates of Change and Limits
9/4/2014
Objectives:
• Average and instantaneous
rate of change.
• Definition of limit.
• Properties of limit.
• One-sided and two-sided
limit.
Assignment
Class Work
• Go over homework
questions.
• Go over Theorems 1-4
examples.
Homework
Page 63-64 # 17-31 odd, 43,
45, 49, 53, 57.
Section 2.1
Rates of Change and Limits
Day 14
(9/5/2014)
Objectives:
• Review:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
Assignment
Class Work
• Go over Homework
questions.
• Hand-out.
Homework
Review homework problems
and examples of section 2.1.
Section 2.2
Day 15
Limits Involving
(9/8/2014)
Objectives:
1.
Find limits as x→∞ .
2.
Use the Sandwich
Theorem .
3.
Find infinite limits as
x→a .
4.
Find an End Behavior
model for a function.
Infinity
Assignment
Class Work
Go over examples of infinite
limit.
Go over investigation 1 on
page 68.
Homework
Page 70 # 1-11 odd, 17-27 odd.
Section 2.2
Day 16
(9/9/2014)
Objectives:
1.
Find limits as x→∞ .
2.
Use the Sandwich
Theorem .
3.
Find infinite limits as
x→a .
4.
Find an End Behavior
model for a function.
Limits
Assignment
Class Work
1. Go over the homework.
2. Go over examples of
vertical asymptotes and
end behavior models.
Homework
• Page 72-73 # `18-22 even,
29-37 odd, 47, 48, 49, 50*.
Section 2.2
Day 17
9/10/2014
Objectives:
1.
Find limits as x→∞ .
2.
Use the Sandwich
Theorem .
3.
Find infinite limits as
x→a .
4.
Find an End Behavior
model for a function.
Limits
Assignment
Class Work
• Go over the warm up.
• Go over # 50 page 72.
• Go over examples from the
hand out.
Homework
• Finish the hand-out.
Section 2.2
Day 18
9/11/2014
Objectives:
1.
Find limits as x→∞ .
2.
Use the Sandwich
Theorem .
3.
Find infinite limits as
x→a .
4.
Find an End Behavior
model for a function.
Limits
Assignment
Class Work
Quiz
Section 2.3
Day 19
(9/12/2014)
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Continuity
Assignment
Class Work
1. Go over Quiz
2. Go over definition of
continuous function at a
point, open interval, and
closed interval.
Homework
Go over the examples of the
hand-out.
Section 2.3
Day 20
(9/15/2014)
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Continuity
Assignment
Class Work
1. Go over definition of
continuous function at a
point, open interval, and
closed interval.
Homework
Page 80 # 1-9 odd, 10, # 11-16
all.
Section 2.3
Day 21
(9/16/2014)
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Continuity
Assignment
Class Work
Go over IVT theorem and
examples.
Homework
• Page 91 # 1-7 odd. 15-24 all.
• 29, 39, and 41.
Chapter 2 Review
Day 22
9/17/2014
Objectives:
• Find limits as x→∞ .
• Use the Sandwich Theorem .
• Find infinite limits as x→a .
• Find an End Behavior model
for a function.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Assignment
Class Work
Go over IVT theorem and
examples.
• Go over the homework.
Homework
• Start reviewing for the
Chapter Test.
Work on the hand-out.
Chapter 2 Review
Day 23
9/18/2014
Objectives:
• Find limits as x→∞ .
• Use the Sandwich Theorem .
• Find infinite limits as x→a .
• Find an End Behavior model
for a function.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Assignment
Class Work
Go over IVT theorem and
examples.
• Go over the homework.
Homework
• Start reviewing for the
Chapter Test.
Work on the hand-out.
Chapter 2 Test
Day 24
9/19/2014
Objectives:
• Find limits as x→∞ .
• Use the Sandwich Theorem .
• Find infinite limits as x→a .
• Find an End Behavior model
for a function.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Assignment
Class Work
• Chapter Test
Chapter 2 Go over the Test
Day 25
9/22/2014
Objectives:
• Find limits as x→∞ .
• Use the Sandwich Theorem .
• Find infinite limits as x→a .
• Find an End Behavior model
for a function.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Assignment
Class Work
Go over the Test.
Finish the problems written on
board.
“I was absent on 9/22/2014.
this lesson was moved to
9/23/2014”
Chapter 2 Review
Section 2.4
Rates of Change
and Tangent Line
Day 26
9/24/2014
Objectives
• Understand and evaluate
average rate of change.
• Understand and evaluate
slope of the curve using
limit definition.
Assignment
Class Work
• Go over examples of
average rate of change and
slope of tangent line.
Homework
Check on-line on Killian
website.
“No school tomorrow ! “
Homework
Section 2.4
Rates of Change
and Tangent Line
Day 27
9/26/2014
Objectives
• Understand and evaluate
average rate of change.
• Understand and evaluate
slope of the curve using
limit definition.
• “This lesson was postponed
for Monday 9/29/2014.
Students needed help with
the homework!”
Assignment
Class Work
Homework and quiz are due!
• Go over examples of
average rate of change and
slope of tangent line.
Homework
• Page 87 # 1,3,9,11,15, and
17.
Section 3.1 Derivative of a
Function.
Day 30
(9/30/2014)
Objectives:
1. Understand and use the
definitions of derivative.
2. Use proper notation.
Assignment
Class Work
• Go over the homework.
• Go over the definition of
the Derivative.
Homework
• Page 101 # 1-6 all.
Section 3.1 Derivative of a
Function.
Day 31
(10/1/2014)
Objectives:
1. Understand and use the
definitions of derivative.
2. Use proper notation.
3. Graph the derivative
function.
Assignment
Class Work
Go over problems from the
worksheet.
Homework
Finish the worksheet .
Section 3.1 Derivative of a
Function.
Day 32
(10/2/2014)
Objectives:
1. Understand and use the
definitions of derivative.
2. Use proper notation.
3. Graph the derivative of the
given functions.
Assignment
Class Work
Quiz
Sections 2.4 - 3.1 Go over the quiz
Day 33
(10/3/2014)
Objectives:
1. Understand and use the
definitions of derivative.
2. Use proper notation.
3. Graph the derivative of the
given functions.
Assignment
Class Work
Go over the quiz.
Section 3.2
Day 34
(10/6/2014)
Objectives:
Understand how f’(a) might
fail to exist.
See how differentiability
implies local linearity.
Differentiability
Assignment
Class Work
• Go over examples 1-4 points
at which f’ fail to exits.
• Graph the derivative.
Homework
Page 111 # 1-10 all, 11, 13 21
and 29 .
Day 33
Warm up
Section 3.3 Differentiation Rules
Day 35
10/7/ 2014
Objectives:
1.
Find derivatives of
positive integer powers,
multiples,, sums and
differences.
2. Use product rule and
quotient rule.
3.
Find derivatives of
negative integer powers.
Find higher order
derivatives.
Assignment
Class work
• Go over the homework.
• Go over differentiation
Rules.
Homework
Page 120 # 1-13 odd, 17, 21
Section 3.3 Differentiation Rules
Day 36
10/8/2014
Objectives:
1.
Find derivatives of
positive integer powers,
multiples,, sums and
differences.
2. Use product rule and
quotient rule.
3.
Find derivatives of
negative integer powers.
Find higher order
derivatives.
Assignment
Class work
Go over the warm up
Go over 24 page 120.
Homework
Page 120 # 23, 25, 27, 33, 35.
Section 3.3 Differentiation Rules
Day 37
10/9/2014
Objectives:
1.
Find derivatives of
positive integer powers,
multiples,, sums and
differences.
2. Use product rule and
quotient rule.
3.
Find derivatives of
negative integer powers.
Find higher order
derivatives.
Assignment
Class work
Go over the warm up
Due in the end of the class
page 120 # 2-18 even, and
26.
Section 3.1-3.3 Differentiation Rules
Day 38
10/10/2014
Objectives:
1.
Find derivatives of
positive integer powers,
multiples,, sums and
differences.
2. Use product rule and
quotient rule.
3.
Find derivatives of
negative integer powers.
Find higher order
derivatives.
Assignment
Class work
Quiz
Section 3.4
Velocity and Other Rates of
Change
Day 39
10/13/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
Assignment
Class Work
• Go over examples.
• Position, velocity,
acceleration, and their
relationship.
Homework
Go over the examples covered
in class.
Day 34
Warm Up
Section 3.4
Day 40
Velocity and Other Rates of
Change
10/14/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
Assignment
Class Work
• Go over the warm up.
• Go over example 1 and
exploration 1 page 123.
• Position, velocity,
acceleration, and their
relationship.
• Go over # 2 on page 129.
Homework
• Page 129 # 1,3, 5,9,13 .
Section 3.4
Velocity and Other
Rates of Change
Day 41
10/15/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
Assignment
Class Work
Go over the Quiz.
Finish the worksheet from
Monday.
Homework
• Page 130 # 12, 13, 15, Page
130-132 # 21,23, 25, 27,
31*,28.
Section 3.4
Velocity and Other
Rates of Change
Day 42
10/16/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
Assignment
Class Work
• Free Response make up.
• Go over the homework
questions.
Homework
Worksheet
Section 3.4
Velocity and Other
Rates of Change
Day 43
10/17/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
Assignment
Class Work
• Free Response make up.
• Go over the homework
questions.
Homework
Worksheet
Section 3.4
Velocity and Other
Rates of Change
Day 44
10/20/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
Assignment
Class Work
Go over homework questions.
Work on problems page 129 #
2 , 8, 10 , 24, 25, and 31.
Section 3.5
Derivatives of
Trigonometric Functions
Day 45
10/22/2014
Objectives:
• Find the derivatives of
trigonometric functions.
Assignment
Class work
• Go over derivatives of trig
functions examples.
Homework
Page 140 1-9 all. 11, 13,and 15.
Section 3.5
Derivatives of
Trigonometric Functions
Day 46
10/22/2014
Objectives:
• Find the derivatives of
trigonometric functions.
Assignment
Class work
• Go over homework
questions.
• Go over derivatives of trig
functions examples.
• “Quiz Tomorrow !!”
• Work on problems page 140
# 2-10 even, 12, and 19.
Section 3.5
Derivatives of
Trigonometric Functions
Day 47
10/23/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
• Find the derivatives of
trigonometric functions.
Assignment
Class work
Quiz.
Section 3.4
Velocity and Other
Rates of Change
Day 48
10/27/2014
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change.
• Use derivatives in
economics.
• Find the derivatives of
trigonometric functions.
Assignment
Class Work
Go over the Quiz.
Finish the problems written in
the board.
Class Work
Class Work
• 4.
• 5.
Section 3.6
Day 49
10/28/2014
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over chain rule
examples.
Homework
Page 146 # 1-23 odd.
Section 3.6
Day 50
10/29/2014
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over the homework
questions .
• Go over # 27, 37, 40 and 57
page 147
• Homework
Page 146-147 # 25-39 odd.
Section 3.6
Day 51
10/30/2014
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over the homework
questions .
Practice problems page # 147
# 2,4,8,14, 20, 24, 40, and 56.
Quiz Tomorrow !!!!
Section 3.6
Chain Rule
Quiz
Day 52
10/31/2014
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Assignment
Class Work
Quiz
Section 3.6
Chain Rule
Quiz
Day 53
11/3/2014
Assignment
Objectives:
Class Work
Use the chain rule to find the Go over the Quiz.
derivatives of composite
Finish the worksheet.
functions.
Section 3.7 Implicit Differentiation
Day 54
11/5/2014
Objectives:
• Work with implicitly defined
functions.
• Use implicit differentiation
to find dy/dx
Assignment
Class Work
Go over the homework
questions.
• Go over examples of implicit
differentiation.
Homework
• Page 155 # 1-21 odd.
Section 3.7 Implicit Differentiation
Day 55
10/6/2014
Objectives:
• Work with implicitly defined
functions.
• Use implicit differentiation
to find dy/dx.
Assignment
Class Work
• Go over Example 4 pg 152
and # 27, 34, 41.
Work on problems
Page 155-156 #
10,16,18,20,28,33,34,35,36.
Section 3.8
Derivatives of
Inverse Trig Functions.
Day 56
11/7/2014
Objectives:
• Find derivatives of inverse
trigonometric functions.
Assignment
Class Work
Yesterday’s class work is due!
• Go over differentiation
Rules of Inverse Trig
Functions.
Homework
Page 162 # 1-15 odd.
Section 3.8
Derivatives of
Inverse Trig Functions.
Day 57
11/10/2014
Objectives:
• Find derivatives of inverse
trigonometric functions.
Assignment
Class Work
Go over the homework
• Start working on the
worksheet.
Section 3.9
Derivatives of Exponential and
Logarithmic Functions.
Day 58
11/12/2014
Objectives:
• Evaluate derivatives of
exponential and logarithmic
functions.
• Use chain rule for log and
exponential functions.
Assignment
Class Work
• Go over Examples of
derivatives of exponential
and logarithmic functions.
Homework
• Page 170 # 1-39 odd.
AP Derivatives
• 1.
• 2.
AP Derivatives
• 3.
Quiz Review Sections 3.7-3.9
Day 59
11/13/2014
Objectives:
• Evaluate derivatives of
exponential and logarithmic
functions.
• Use chain rule for log and
exponential functions.
• Find derivatives of inverse
trigonometric functions.
• Work with implicitly defined
functions.
• Use implicit differentiation to find
dy/dx.
Assignment
Class Work
Go over the homework .
Start working on page 170 #
4,12,16,22,24, 28, 32, and
40.
Quiz
Day 60
11/14/2014
Objectives:
• Evaluate derivatives of
exponential and logarithmic
functions.
• Use chain rule for log and
exponential functions.
• Find derivatives of inverse
trigonometric functions.
• Work with implicitly defined
functions.
• Use implicit differentiation to
find dy/dx.
Sections 3.7-3.9
Assignment
Class Work
Quiz
Chapter 3 Review
Day 61
11/17/2014
Objectives:
1. Review all differentiation
rules.
2. Review applications of
derivatives in Economy and
physics.
Assignment
Class Work /Homework
Page 172 # 3, 5, 9, 11-23 odd,
31, 35, 39, 45,47, 57 , 58*,
59, 61*and 67.
Chapter 3 Review
Day 62
11/19/2014
Objectives:
1. Review all differentiation
rules.
2. Review applications of
derivatives in Economy and
physics.
Assignment
Class Work /Homework
AP Free Response Review.
Review
11/19/2014
Review
11/19/2014
Review
.
11/19/2014
Chapter 3 Test
Day 63
11/21/2014
Objectives:
1. Review all differentiation
rules.
2. Review applications of
derivatives in Economy and
physics.
Assignment
Class Work /Homework
Chapter Test
Section 4.1
Extreme Value
theorem
Day 64
11/24/2014
Objectives:
• Definition of absolute and
local minimum and
maximum values.
• Extreme values and the first
derivative.
Assignment
Class Work
• Go over the warm up.
• Hand-out
Homework
Page 184 # 1-9 all.
11, and 13.
Warm- up
Chapter 3
Go over the Test.
Day 65
11/25/2014
Objectives:
1. Review all differentiation
rules.
2. Review applications of
derivatives in Economy and
physics.
Assignment
Class Work /Homework
Go over the test.
Finish the worksheet.
Section 4.2
Mean Value
Theorem
Day 66
11/26/2014
Objectives:
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
• Finish Monday’s worksheet.
• Go over examples.
Homework:
Study the worksheet.
Section 4.2
Mean Value
Theorem
Day 67
12/1/2014
Objectives:
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
• Finish examples from last
week’s hand out.
Homework:
Page 192 # 1,5,11, 15,35, 36*,
37, odd.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 68
12/2/2014
Objectives:
• Find extreme point of
functions.
• Understand the
relationship between the
concavity of f and the sign
of f’’.
• Understand points of
inflection as places where
the concavity changes.
Assignment
Class Work:
• Go over the warm up.
• Go over Worksheet
examples.
Homework:
Page 204, 7,9,11.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 69
12/3/2014
Objectives:
• Find extreme point of
functions.
• Understand the
relationship between the
concavity of f and the sign
of f’’.
• Understand points of
inflection as places where
the concavity changes.
Assignment
Class Work:
• Go over the warm up.
• Go over AP free response
questions.
Homework:
Page 204 # 31 and 47.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 70
12/4/2014
Objectives:
• Find extreme point of
functions.
• Understand the
relationship between the
concavity of f and the sign
of f’’.
• Understand points of
inflection as places where
the concavity changes.
Assignment
Class Work:
• Go over hand –out
questions.
Work on problems page 203#
1-5 odd,9, 33,and 47.
Quiz Tomorrow!!!!!
Section 4.1-4.2 Quiz
Day 71
12/4/2014
Objectives:
• Find extreme point of
functions.
• Understand the
relationship between the
concavity of f and the sign
of f’’.
• Understand points of
inflection as places where
the concavity changes.
Assignment
Class Work:
• Quiz
Section 4.1-4.2 Practice
Day 72
12/5/2014
Objectives:
• Find extreme point of
functions.
• Understand the
relationship between the
concavity of f and the sign
of f’’.
• Understand points of
inflection as places where
the concavity changes.
Assignment
Class Work:
• Worksheet
Section 4.1-4.2 Practice
Day 73
12/8/2014
Objectives:
• Find extreme point of
functions.
• Understand the relationship
between the concavity of f and
the sign of f’’.
• Understand points of
inflection as places where the
concavity changes.
• Block schedule !
Assignment
Class Work:
Go over the quiz.
Make-up quiz for absent
students.
Read examples of section 4.4
Modeling and Optimization.
Section 4.1-4.2 Practice
Day 74
12/10/2014
Objectives:
• Find extreme point of
functions.
• Understand the
relationship between the
concavity of f and the sign
of f’’.
• Understand points of
inflection as places where
the concavity changes.
Assignment
Class Work:
Go over AP Questions.
Finish the worksheet.
AP Practice
• 1.
AP Practice
Section 4.4
Modeling
and Optimization
Day 75
12/12/2014
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Online help.
http://online.math.uh.edu/apcalculus
Assignment
Class Work
• Go over examples of
modeling and optimization.
Homework
• Page 214 # 3, 5, 7, and 13.
Section 4.4
Modeling
and Optimization
Day 76
12/15/2014
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
• Go over the homework.
• Finish the worksheet.
Section 4.1-4.4 Review
Day 76
12/16/2014
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
• Go over worksheet
problems.
Homework
• Study for the quiz tomorrow
Section 4.1-4.4 Review
Day 76
12/17/2014
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Quiz
Section 4.1-4.4 Review
Day 77
12/18/2014
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Page 214 # 1,2,3,5, 7, 9,and 18.
Section 4.1-4.4 Review
Day 78
12/19/2014
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Worksheet
Review Derivatives Applications
Day 79
1/5/2015
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Go over AP Free Response
questions
Homework
Finish the worksheet.
Section 4.6
Day 80
1/6/2015
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Related Rates
Assignment
Class Work
Go over examples of related
rates.
Homework
Study the text book examples
Warm-up
• 1.
Section 4.6
Day 81
1/8/2015
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Related Rates
Assignment
Class Work
Go over examples of related
rates.
Homework
Page 238 # 11,13, 17, 22, 33
and 35. Due on Monday .
Section 4.6
Day 82
1/9/2015
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Related Rates
Assignment
Class Work
Finish the worksheet.
Section 4.5
Linearization
and Newton’s Method
Day 83
1/14/2015
Objectives:
• Use the tangent line to
approximate the function.
• Use differentials to estimate
the change.
• Find the absolute, the
relative, and the percent
change.
Assignment
Class Work
• Go over linearization
examples.
Homework:
Page 229 # 3, 5, 7, 11, 13, 19,
21,23,25.
Section 4.5
Linearization
and Newton’s Method
Day 84
1/14/2015
Objectives:
• Use the tangent line to
approximate the function.
• Use differentials to estimate
the change.
• Find the absolute, the
relative, and the percent
change.
Assignment
Class Work
• Go over the homework.
• Start working with the
worksheet.
•
Review Chapter 4
Day 85
1/15/2015
Objectives:
• Use the tangent line to
approximate the function.
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Assignment
Class Work
Page 242 # 3, 5, 13, 17, 27, 29,
31, 33, 39, 47, 53.
Review Chapter 4
Day 86
1/20/2015
Objectives:
• Use the tangent line to
approximate the function.
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Assignment
Class Work
Worksheet.
Review Chapter 4
Day 87
1/21/2015
Objectives:
• Use the tangent line to
approximate the function.
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Assignment
Class Work
Go over Thursday homework.
Page 242 # 3, 5, 13, 17, 27, 29,
31, 33, 39, 47, 53.
Homework
Study for the Test
Tomorrow!!!!
Chapter 4 Topic
1.
2.
3.
4.
5.
6.
7.
8.
Increasing
Decreasing
Extreme values
Concavity Change
Inflection Points
Related Rates
Optimizations
Read the graph of the derivative
Review Chapter 4
Day 88
1/22/2015
Objectives:
• Use the tangent line to
approximate the function.
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Assignment
Class Work
Test
Section 5.1
Estimating With Sums
Day 89
1/22/2015
Objectives:
• Use the total distance
traveled to introduce
rectangular approximation
method.
• Use LRAM, MRAM, and
RRAM method to
approximate the area under
the curve.
Assignments
Class Work
Go over the Test.
• Go over Examples of LRAM,
MRAM, and RRAM.
Homework
Worksheet
Review Chapter 4
Day 90
1/26/2015
Objectives:
• Use the tangent line to
approximate the function.
• Learn solution strategies for
related rate problems.
Simulate related motions. Use
derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Go over the Test
Review derivatives.
Homework
Finish the Worksheet
Section 5.2
Day 91
1/27/2015
Objectives:
Write the general solution of e
differential equation.
Use the indefinite integral
notation for Antiderivatives.
Find the particular solution of
a differential equation.
Antiderivatives
Assignment
Class Work
Go over examples of
Antiderivatives.
Homework
• Finish the worksheet
Section 5.1
Estimating With Sums
Day 92
1/28/2015
Objectives:
• Use the total distance
traveled to introduce
rectangular approximation
method.
• Use LRAM, MRAM, and
RRAM method to
approximate the area under
the curve.
• Block Schedule
Assignments
Class Work
Go over homework questions.
Go over examples of
LRAM,RRAM, MRAM, and
Trapezoid Approximation
Methods.
Finish the Worksheet
Free Response
Section 5.1
Estimating With Sums
Day 93
1/29/2015
Objectives:
• Use the total distance
traveled to introduce
rectangular approximation
method.
• Use LRAM, MRAM, and
RRAM method to
approximate the area under
the curve.
• Block Schedule
Assignments
Class Work
Go over homework questions.
Finish the Worksheet
Section 5.2 Definite Integrals
Day 95
2/2/2015
Objectives:
• Use the total distance
traveled to introduce
rectangular approximation
method.
• Use LRAM, MRAM, and
RRAM method to
approximate the area under
the curve.
Assignment
Class Work
Go over examples of definite
integral.
Homework
Page 267 # 1-25 odd.
Section 5.3
Integrals
Antiderivatives.
Day 96
2/3/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Assignment
Class Work
Go over properties of definite
integral.
Go over Average Value
Theorem and Mean Value
Theorem for Integrals.
Homework
Page 274 #1, 3, 5, use the
graphing calculator for 17*,
and 19. 25.
Section 5.3
Integrals and
Antiderivatives.
Day 97
2/4/2013
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Assignment
Class Work
Go over homework questions.
Go over worksheet examples.
Homework
Page 286 # 1-13 odd, 25and
27.
Section 5.1-5.3
Day 98
2/5/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Review
Assignment
Class Work
Go over homework questions.
Homework
Finish the worksheet
Quiz Tomorrow !!!!!!
Section 5.1-5.3
Day 99
2/6/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Review
Assignment
Class Work
Quiz
Section 5.1-5.3
Day 100
2/9/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Review
Assignment
Class Work
Page 275 # 2, 17, and 20.
Page 286 # 2-14 even and 26.
Due tomorrow !!!!!!
Go over the Quiz.
Section 5.4
Fundamental Theorem
of Calculus Part 1
Day 101
2/10/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Assignment
Class Work
Go over examples from the
worksheet.
Homework
Page 287 # 53 and 54 .
Section 5.4
Fundamental Theorem
of Calculus Part 1
Day 102
2/11/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Assignment
Class Work
Go over examples from the
worksheet.
Homework
Page 287 # 37-42 all, 43, and
45.
Section 5.4
Fundamental Theorem
of Calculus Part 1
Day 103
2/12/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Assignment
Class Work
Practice AP Free Response.
Homework
Study for the Chapter Test
tomorrow !!!!!
Chapter 5 Test
Day 104
2/13/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Assignment
Class Work
Chapter 5 Test
Chapter 5 Test
Day 105
2/19/2015
Objectives:
Learn properties of definite
integrals.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve
problems.
Assignment
Class Work
Finish problems on page 298
# 9,12,15,17,21, 23,24, 46
and 54.
Section 6.2
Integration by
Substitution
Day 106
2/20/2015
Objectives:
• Use the pattern recognition
to find the indefinite
integral.
• Use the change of variables
to find the indefinite
integral.
• Use the change of variables
to find the definite integral.
Assignment
Class Work
Go over examples of
integration by substitutions.
Homework
• Page 321 # 1-6 all.9-15 odd.
Section 6.2
Integration by
Substitution
Day 107
2/23/2015
Objectives:
• Use the pattern recognition
to find the indefinite
integral.
• Use the change of variables
to find the indefinite
integral.
• Use the change of variables
to find the definite integral.
Assignment
Class Work
Go over chapter 5 test
Go over examples of
integration by substitutions.
Homework
• Page 322 # 17-37 odd .
Section 6.2
Integration by
Substitution
Day 108
2/24/2015
Objectives:
• Use the pattern recognition
to find the indefinite
integral.
• Use the change of variables
to find the indefinite
integral.
• Use the change of variables
to find the definite integral.
Assignment
Class Work
Go over examples of
integration by substitutions.
Homework
Page 322 # 14-38 even .
Section 6.2
Integration by
Substitution
Day 109
2/25/2015
Objectives:
• Use the pattern recognition
to find the indefinite
integral.
• Use the change of variables
to find the indefinite
integral.
• Use the change of variables
to find the definite integral.
Assignment
Class Work
“No class Senior Picnic!”
Section 6.2
Integration by
Substitution
Day 110
2/26/2015
Objectives:
• Use the pattern recognition
to find the indefinite
integral.
• Use the change of variables
to find the indefinite
integral.
• Use the change of variables
to find the definite integral.
Assignment
Class Work
Review for the Quiz Tomorrow.
Finish the Work sheet.
Section 6.2
Integration by
Substitution
Day 111
2/27/2015
Objectives:
• Use the pattern recognition
to find the indefinite
integral.
• Use the change of variables
to find the indefinite
integral.
• Use the change of variables
to find the definite integral.
Assignment
Class Work
Quiz on U-Substitution.
Section 6.1
Antiderivatives and
slope Fields.
Day 112
3/2/2015
Objectives:
• Solve initial value problems.
• Relationship between
antiderivatives and
indefinite integrals.
• Use separation of variables
to solve differential
equations.
Assignment
Class Work
Go over the quiz.
Practice AP-questions.
Section 6.1
Antiderivatives and
slope Fields.
Day 113
3/3/2015
Objectives:
• Solve initial value problems.
• Relationship between
antiderivatives and
indefinite integrals.
• Use separation of variables
to solve differential
equations.
• Block Schedule !!!
Assignment
Class Work
• Go over the separation of
variables technique to solve
differential equations
Examples.
Finish the worksheet.
Section 6.4
Exponential
Growth and Decay.
Day 114
3/5/2015
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Block Schedule !!!!
Assignment
Class Work
Go over separable differential
equations .
• Go over examples of
exponential growth and
decay.
• Finish the hand out
Section 6.4
Exponential
Growth and Decay.
Day 115
3/9/2015
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Block Schedule !!!!
Assignment
Class Work
Go over separable differential
equations .
• Go over examples of
exponential growth and
decay.
• Finish the hand out
Section 6.4
Exponential
Growth and Decay.
Day 116
3/11/2015
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Assignment
Class Work
Finish the worksheet.
Section 6.4
Exponential
Growth and Decay.
Day 117
3/12/2015
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Assignment
Class Work
Finish the worksheet.
“Quiz tomorrow !”
Section 6.1 -6.2 Quiz
Day 118
3/13/2015
Objectives:
• Solve initial value problems.
• Relationship between
antiderivatives and
indefinite integrals.
• Use separation of variables
to solve differential
equations.
Assignment
Class Work
Quiz
Go over section 6.1 -6.2 Quiz
Day 119
3/16/2015
Objectives:
• Solve initial value problems.
• Relationship between
antiderivatives and
indefinite integrals.
• Use separation of variables
to solve differential
equations.
Assignment
Class Work
Go over the quiz questions.
Book work
Page 358 # 1-7 all,15,45, and
52.
Section 7.1
Integral as a
Net Change
Day 120
3/17/2015
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
Assignment
Class Work
Go over examples from the
worksheet.
Homework
Read the examples and start
working on the worksheet.
Section 7.1
Integral as a
Net Change
Day 121
3/18/2015
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
Assignment
Class Work
Go over examples from the
worksheet.
Homework
Read the examples and start
working on the worksheet.
Section 7.1
Integral as a
Net Change
Day 122
3/19/2015
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
Assignment
Class Work
AP- Practice questions.
Section 7.1
Integral as a
Net Change
Day 123
3/30/2015
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
Assignment
Class Work
Go over examples , Questions
and problems from Spring
Break Worksheet .
Section 7.2
Day 124
3/31/2015
• Objectives:
• Find the area between two
curves.
• Find the area using new
boundaries with changing
function.
• Integrating with respect to
y.
Areas in the Plane
Assignment
Class Work
Go over examples of areas
between two curves.
Homework
Page 380 # 1,3,7, 9, 11,13.
Section 7.2
Day 125
4/1/2015
Objectives:
• Find the area between two
curves.
• Find the area using new
boundaries with changing
function.
• Integrating with respect to
y.
Areas in the Plane
Assignment
Class Work
• Hand out
Section 7.2
Day 126
4/2/2015
Objectives:
• Find the area between two
curves.
• Find the area using new
boundaries with changing
function.
• Integrating with respect to
y.
Areas in the Plane
Assignment
Class Work
• Practice AP-Questions.
Section 7.2
Day 127
4/6/2015
Objectives:
• Find the area between two
curves.
• Find the area using new
boundaries with changing
function.
• Integrating with respect to
y.
Areas in the Plane
Assignment
Class Work
• Practice AP-Questions.
AP Free Response (2013)
AP Free Response (2012)
AP Free Response 2014
Exam Question 2008
Exam Questions 2005
Exam Question 2005
Exam Questions 2004
Areas in the Plane and Net
Change Theorem Quiz
Day 128
4/7/2015
Objectives:
• Find the area between two
curves.
• Find the area using new
boundaries with changing
function.
• Integrating with respect to
y.
Assignment
Class Work
• Quiz
Section 7.3
Day 129
4/8/2015
Objectives.
• Find the volume of solids as
an Integral.
• Find the volume of solids
with square and circular
cross sections.
• Find the volume by using
the cylindrical shell method.
Volumes
Assignment
• Class Work
• Go over examples of
Cylindrical shell method.
Homework
• Hand out
Section 7.3
Day 130
4/9/2015
Objectives.
• Find the volume of solids as an
Integral.
• Find the volume of solids with
square and circular cross
sections.
• Find the volume by using the
cylindrical shell method.
• “Note:
• 4/10/2015 is Take Your Child
to Work Day! Student will be
working on the same hand out.
“
Volumes
Assignment
Class Work
Go over examples of volume of
solid with known cross
sections.
Go over problem page 390 #
and 2.
Homework
Hand out
Areas in the Plane and Net
Change Theorem Quiz
Day 132
4/13/2015
Objectives:
• Find the area between two
curves.
• Find the area using new
boundaries with changing
function.
• Integrating with respect to
y.
Assignment
Class Work
• Go over the Quiz.
• Practice AP Free response.
AP Free Response 2011
AP Free Response 2010
Section 7.3
Day 133
4/14/2015
Objectives.
• Find the volume of solids as
an Integral.
• Find the volume of solids
with square and circular
cross sections.
• Find the volume by using
the cylindrical shell method.
Volumes
Assignment
Class Work
Go over examples of volume of
surface of revolution.
Homework
Hand out
Section 7.3
Day 134
4/15/2015
Objectives.
• Find the volume of solids as
an Integral.
• Find the volume of solids
with square and circular
cross sections.
• Find the volume by using
the cylindrical shell method.
Volumes
Assignment
Class Work
Go over examples of volume of
solid with known cross
sections.
Homework
Hand out
Section 7.3
Day 135
4/16/2015
Objectives.
• Find the volume of solids as
an Integral.
• Find the volume of solids
with square and circular
cross sections.
• Find the volume by using
the cylindrical shell method.
• “Block Schedule! “
Volumes
Assignment
Class Work
Go over examples of volume of
solid with known cross
sections.
Homework
Hand out
Section 7.3
Day 136
4/17/2015
Objectives.
• Find the volume of solids as
an Integral.
• Find the volume of solids
with square and circular
cross sections.
• Find the volume by using
the cylindrical shell method.
Volumes Test
Assignment
Class Work
Go over examples of volume of
solid with known cross
sections.
Homework
Hand out
Section 7.3
Day 137
4/22/2015
Objectives.
• Find the volume of solids as
an Integral.
• Find the volume of solids
with square and circular
cross sections.
• Find the volume by using
the cylindrical shell method.
Volumes Test
Assignment
Class Work
Go over AP Free Response
Questions
Homework
Study for the test tomorrow!
AP Free Response
8
AP Free Response
9
AP Free Response
7
AP Free Response
6
AP Free Response
3
Volumes Test
Day 138
4/24/2015
Objectives.
• Find the volume of solids as
an Integral.
• Find the volume of solids
with square and circular
cross sections.
• Find the volume by using
the cylindrical shell method.
Assignment
Class Work
Test
Rates of Change and Limits Review
Day 139
4/27/2015
Objectives:
• Average and instantaneous
rate of change.
• Definition of limit.
• Properties of limit.
• One-sided and two-sided
limit.
Assignment
Class Work
Go over L’Hopital’s Roles and
review important limits.
Homework
Finish all multiple chose of
chapters 1-3 all.