First Day of School
Day 1
8/19/2013
Objectives:
• Go over the classroom rules
and regulations.
• Go over the syllabus.
• Discuss expectations and
answer questions .
Assignment
• Homework
• Finish the hand out review
section 1.1.
Lines
Day 2
8/20/2013
• 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 hand out questions.
• Start working on the
homework
Homework
• Hand-out
Section 1.2
Functions and
Graphs
Day 3
8/21/2013
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
• Assignment
Class work
• Go over Homework
• Write examples.
Homework
Page 17 # 1- 31 odd.
Section 1.2
DAY 4
Functions and
Graphs
8/22/2013
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
questions.
• Finish examples with
transformations of graphs.
Class work/ Homework
.Check the problems written
on the board.
Section 1.3
Exponential
Functions
Day 5
8/23/2013
Objectives:
• Determine the domain the
range and the graph of
exponential function.
• Solve problems using
exponential function
Assignment
Class work
Go over examples of interest
model and half-time model.
Homework
• Page 24-25 # 1-13 odd, 2333 odd.
Section 1.4
Functions and
Logarithms
Day 6
8/26/2013
• Objectives:
• Definition of one to one
functions.
• Inverses functions .
• Logarithmic Function.
Properties of logarithms.
Application.
• Block schedule.
Assignment
Class work
• Go over homework
questions.
• Go over examples of inverse
functions and properties of
logarithms.
• Quick Review page 39 # 110 all.
• Page 39 # 3, 7, 11, 13, 19,
33*,35*, 37, 39 41, 43,48.
Review Sections 1.1-1.4
Day 7
•
•
•
•
•
8/28/2013
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
•
•
•
Definition of one to one functions.
Inverses functions .
Logarithmic Function. Properties of
logarithms. Application.
•
Block schedule.
Assignment
Class Work
• Hand- out (60 min )
• Quiz
Review Sections 1.1-1.4
Day 8
•
•
•
•
•
8/29/2013
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
•
•
•
Definition of one to one functions.
Inverses functions .
Logarithmic Function. Properties of
logarithms. Application.
•
Block schedule.
Assignment
Class Work
• Hand- out
Section 1.6 Trigonometric Functions
Day 9
8/30/2013
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
• Finish the first day of
school hand out on
trigonometry.
Section 1.6 Trigonometric Functions
Day 10
9/3/2013
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
• Review trigonometric
functions.
Homework
• Finish the first day of
school hand out on
trigonometry.
• Page 48-49 7,8,9,11-23
odd, 31, 32, 35.
Section 1.6 Trigonometric Functions
Day 11
9/6/2013
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
• Review trigonometric
functions.
• Finish the problems written
on the board.
Quiz
Day 12
9/9/2013
Objectives:
• Review definition of sin(x),
cos(x), tan(x), cot(x),sec(x),
csc(x).
• Review the graph of Trig
functions.
• Evaluate inverse
trigonometric functions.
Section 1.6
Assignment
Class Work
Go over the homework
• Quiz
Section 2.1
Rates of Change and
Limits
Day 13
9/11/2013
Objectives:
• Average and instantaneous
rate of change.
• Definition of limit.
• Properties of limit.
• One-sided and two-sided
limit.
Assignment
Class Work
• Go over Monday’s
Worksheet
• Go over examples 1-5 page
62 # 4, 6,.
Homework
Page 62 # 1-15 odd.
Section 2.1
Rates of Change and
Limits
Day 14
9/11/2013
Objectives:
• Average and instantaneous
rate of change.
• Definition of limit.
• Properties of limit.
• One-sided and two-sided
limit.
Assignment
Class Work
• Go over the quiz
• 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 15
9/12/2013
Objectives:
• Average and instantaneous
rate of change.
• Definition of limit.
• Properties of limit.
• One-sided and two-sided
limit.
Assignment
Class Work
• Go over the quiz
• 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 16
9/13/2012
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 17
Limits Involving
Infinity
9/14/2013
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.
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 18
9/17/2013
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 2.3
Day 19
9/18/2013
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Continuity
Assignment
Class Work
• Go over homework questions.
• Go over definition of
continuous function at a
point, open interval, and
closed interval.
• Homework
Page 80 # 1-9 odd, 10, # 11,21
,13, 15 19, 21.
No quiz tomorrow 
Section 2.3
Day 20
9/19/2013
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Continuity
Assignment
Class Work
• Go over homework
questions.
•
•
•
Work on problems
Page 71-72#
2,4,23,24,26,28,35,40.
Page 81# 20, 25, 29*,36,
41.
Sections 2.1-2.3 Quiz
Day 21
9/19/2013
Objectives:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Assignment
Class Work
• Quiz
AP Practice
Day 22 9/20/1013
Objectives:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity
Sections 2.1-2.3
Assignment
Class Work
• Worksheet
AP Practice
Day 23 9/23/1013
Objectives:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity
Sections 2.1-2.3
Assignment
Class Work
• Worksheet
AP Practice
Day 24
9/24/1013
Objectives:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity
Sections 2.1-2.3
Assignment
Class Work
Go over the worksheets from
Friday 9/20/2013 and
Monday 9/23/2013 .
Go over The Intermediate
Value Theorem Examples.
Chapter 2 Review
Day 25
9/25/2013
Objectives:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity
Assignment
Class Work
Page 91 # 1-13 odd 15-24 all
29, 33,35, 39, 41.
Due in the end of the class!
Chapter 2 Review
Day 26
9/26/2013
Objectives:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity
Assignment
Class Work
The Intermediate Value
Theorem Worksheet.
Chapter 2 Test
Day 27
9/27/2013
Objectives:
1. Definition of limit.
2. Properties of limit.
3. One-sided and two-sided
limit.
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity
Assignment
Class Work
Chapter 2 Test
Section 2.4
Rates of Change and
Tangent Lines.
Day 28
9/30 /2013
Objectives:
1. Find the average rate of
change.
2. Find the equation of the
tangent and equation of a
normal to a curve.
Assignment
Class Work
1. Go over definition of the
slope of the curve.
Example 1 on page 82.
2. Go over examples 4 and 5
on page 85.
Homework
Page 87 # 1-5 odd, 9, 11, 13,
15.
Section 3.1 Derivative of a
Function.
Day 29
10/1/2013
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 # 1-10 all on Quick
• Hand out.
Section 3.1 Derivative of a
Function.
Day 30
10/2/2013
Objectives:
• Understand the
relationships between the
graphs of f and f’.
•
Graph the derivative
from DATA.
• Find one-sided
Derivatives.
Assignment
Class Work
Go over the test.
Go over Example 3 and # 18
page 103.
Homework
Work on problems page 101 #
7-10 all,
Section 3.1 Derivative of a
Function.
Day 31
10/3/2013
Objectives:
• Understand the
relationships between the
graphs of f and f’.
•
Graph the derivative
from DATA.
• Find one-sided
Derivatives.
Assignment
Class Work
• Go over the homework
questions. Quiz
Section 3.1 Derivative of a
Function.
Day 32
10/4/2013
Objectives:
• Understand the
relationships between the
graphs of f and f’.
•
Graph the derivative
from DATA.
• Find one-sided
Derivatives.
Assignment
Class Work
• Go over the Worksheet
questions.
• Graph the derivative
Examples.
• Go over Example 3 and # 18
page 103.
Homework
Work on problems page 101 #
7-10 all and the worksheet.
Section 3.2
Day 33
10/7/2013
Objectives:
Understand how f’(a) might
fail to exist.
See how differentiability
implies local linearity.
Differentiability
Assignment
Class Work
Go over the quiz.
Go over the homework.
Go over examples 1-4 points at
which f’ fail to exits.
Homework
Page 111 # 1-10 all, 11, 13 21
and 29 .
Section 3.3 Differentiation Rules
Day 34
10/8/2013
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 homework
questions.
• Go over differentiation
Rules.
Homework
• Page 120 # 1-13 odd #11
part a) only , 17, 23.
Section 3.3 Differentiation Rules
Day 35
10/9/2013
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 homework
questions.
Class Work
Worksheet
Tomorrow Quiz
Sections 3.1-3.3 Quiz
Day 36
10/10/2013
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 3.5
Derivatives of
Trigonometric Functions
Day 37
10/11/2013
Objectives:
• Find the derivatives of
trigonometric functions
Assignment
Class work
• Go over homework
“worksheet”
• Go over derivatives of trig
functions examples.
Homework
Page 140 1-9 all. 11, 13, 19.
Section 3.6
Day 38
10/14/2013
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over the Quiz .
• Go over chain rule
examples.
Homework
Page 146 # 1-23 odd.
Section 3.6
Day 39
10/15/2013
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over the homework
questions .
Go over page 147 # 26, 34,
36, 56.
Homework
Page 146-147 # 25-37 odd,
and 57.
Section 3.6
Day 40
10/16/2013
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over the homework
questions .
• Worksheet.
Section 3.7 Implicit Differentiation
Day 41
10/17/2013
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 # 27, 29, 33, 35, 41.
Section 3.7 Implicit Differentiation
Day 42
10/18/2013
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
• 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 # 27, 29, 33, 35, 41.
Warm –up
Section 3.8
Derivatives of Inverse
Trig Functions.
Day 43
10/21/2103
Objectives:
• Find derivatives of inverse
trigonometric functions.
Assignment
Class Work
• Go over the warm up
• Go over differentiation
Rules of Inverse Trig
Functions.
Homework
Page 162 # 1-15 odd.
Day 44
Warm up
Section 3.9
Derivatives of Exponential and
Logarithmic Functions.
Day 44
10/22/2013
Objectives:
• Evaluate derivatives of
exponential and logarithmic
functions.
• Use chain rule for log and
exponential functions.
Assignment
Class Work
• Go over the warm up
• Go over Examples of
derivatives of exponential
and logarithmic functions.
• Work on problems
• Page 170 # 1-39 odd.
Warm up
Sections 3.7-3.9 Review
Day 45
10/23/2013
Objectives:
• Evaluate derivatives of
exponential and logarithmic
functions.
• Use chain rule for log and
exponential functions.
• Find derivatives of inverse
trigonometric functions.
Assignment
Class Work
• Go over the homework.
• Go over Example # 1 on
page 164.
• Go over AP Free Response.
Homework
• Page 170 # 2, 10, 14, 18,
22, 28, 30, 36.
Chapter 2 and 3 AP Review
Day 46
10/24/2013
Objectives:
• Review limits, derivatives by
definition and
differentiation rules.
Assignment
Class work / Homework
• Worksheet
Sections 3.6-3.9 Quiz
Day 47
10/28/2013
Objectives:
• Evaluate derivatives of
exponential and logarithmic
functions.
• Use chain rule for log and
exponential functions.
• Find derivatives of inverse
trigonometric functions.
• Block Schedule
Assignment
Class Work
Go over the Warm up.
• Go over the homework
questions.
• Quiz
Day 47
Warm up
Section 3.4
Velocity and Other Rates of
Change
Day 48
10/30/2013
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.
• 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, 5,9,11 . Page
130-132 # 13, 15.
21,23, 25, 27, 31,28.
Section 3.4
Velocity and Other Rates of
Change
Day 49
10/31/2013
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.
• Position, velocity,
acceleration, and their
relationship.
• Go over page 130 # 10, 16*.
Homework
Worksheet
Review
10/31/2013
Chapter 3 Review
Day 50
11/4/2013
Objectives:
• Evaluate derivatives of exponential
and logarithmic functions.
• Use chain rule for log and
exponential functions.
• Find derivatives of inverse
trigonometric functions.
• Find the instantaneous rate of
change.
• Find motion along a line.
• Find the sensitivity to change.
• Use derivatives in economics.
• Block Schedule
Assignment
Class Work
Go over questions from the
worksheet.
Finish the worksheet
“Chapter test next class”
Day 49
11/6/2013
Chapter 3 Test
Section 4.1
Extreme Value
theorem
Day 51
11/7/2013
Objectives:
• Definition of absolute and
local minimum and
maximum values.
• Extreme values and the first
derivative.
Assignment
Class Work
• Go over the warm up
• Go over examples of
extreme value.
Homework
Page 184 # 1-13 odd 15, 19
41, 45.
Warm-up
Section 4.1
Day 52
Extreme Value
Theorem
11/12/2013
Objectives:
• Definition of absolute and
local minimum and
maximum values.
• Extreme values and the first
derivative.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
Go the increasing and
decreasing functions
examples.
Finish the worksheet.
Section 4.2
Day 53
Mean Value
Theorem
11/13/2013
Objectives:
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
• Go over the warm up.
• Go over examples and
problems # 2,18, and 40.
Homework:
Page 192 # 1,3,15,17, and 37.
Warm-up
• 1.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 54
11/14/2013
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 the Theorems and
examples on section 4.3.
Homework:
Page 203-204, 1-6 all, 7,9,11.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 55
11/15/2013
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 homework
questions.
• Finish the worksheet.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 56
11/18/2013
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 homework
questions.
Homework
• Finish the worksheet.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 57
11/19/2013
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 worksheet.
• Go over example # page 201
• Work on problems
• Page 203 # 1-9 odd, 29 and
31.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 58
11/20/2013
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 homework.
Go over second derivative Test.
Work on the worksheet.
Sections 4.1-4.3 Quiz
Day 59
11/ 21/2013
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
Sections 4.1-4.3 Go over the Quiz
Day 60
11/ 22/2013
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
• Finish the quiz.
• Go over Mean Value
Theorem .
Mean Value Theorem
• 1. Tow stationary patrol cars equipped with
radar are 5 miles apart on a highway. As a
truck passes the first patrol car its speed is
clocked at 55 mi/h. Four minutes later, when
the truck passes the second patrol car, its
speed is clocked at 50 mi/h. Prove that the
truck must have exceeded the speed limit of
55mi/h some time during the 4 minutes.
Section 4.2
Mean Value
Theorem
Day 61
11/25/2013
Objectives:
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
• Go over the quiz.
• Finish the Mean Value
Theorem.
Homework
• Page 192 # 15, 21, 39, and
40.
Section 4.4
Modeling and
Optimization
Day 62
11/26/2013
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
• Go over the warm up
• Go over the examples from
the worksheet.
Homework
• Study the worksheet.
Section 4.4
Modeling and
Optimization
Day 63
11/27/2013
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
• Go over the warm up .
• Go over examples page 206207 # 1and 2.
Class Work
Page 214 # 1, 3, 7, 9, and 19.
Section 4.6
Day 64
12/2/2013
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Related Rates
Assignment
Class Work
• Go over the homework.
• Go over example # 2 ,3 page
237 # 8, 10.
Homework
Page 238 # 11 and 13.
Section 4.6
Day 65
12/2/2013
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Related Rates
Assignment
Class Work
• Go over the homework.
• go over example # 4 page
235 and # 29 on page 240.
Homework
Page 238 # 17, 22,31, 33,35.
Review Optimization and Related
Rate
Day 66
12/3/2013
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Worksheet
Prepare for the Quiz Tomorrow
Review Optimization and Related
Rate
Day 67
12/4/2013
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Worksheet
Prepare for the Quiz Tomorrow
Review Optimization and Related
Rate
Day 68
12/5/2013
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Quiz
Review Optimization and Related
Rate
Day 69
12/6/2013
Objectives:
• 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 Quiz.
Go over problems
Page 238 # 22, 29, and 31
Section 4.5
Linearization
and Newton’s Method
Day 70
12/9/2013
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 examples.
Homework:
Page 229 # 3, 5, 7, 11, 13, 19,
21.
Section 4.5
Linearization
and Newton’s Method
Day 71
12/10/2013
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 examples of
differentials.
Homework:
Worksheet
Section 4.5
Linearization
and Newton’s Method
Day 72
12/11/2013
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 examples of
differentials.
• Finish the Worksheet
Chapter 4 Review
Day 73
12/12/2013
Objective:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Page 242 # 3, 5, 13, 17, 27, 29,
31, 33, 39, 47, 53.
Chapter 4 Review
Day 74
12/13/2013
Objective:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Free Response AP Exam
Questions.
Chapter 4 Review
Day 75
12/16/2013
Objective:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Practicing AP Exam Questions.
Multiple Chose.
Chapter 4 Review
Day 76
12/17/2013
Objective:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Practicing AP Exam Questions.
Free response.
Chapter 4 Review
Day 77
12/18/2013
Class Work.
Check the answers of
yesterday’s class work.
• Read problems #8, 10, 2 a,
b page 406
Homework
Page 406-407 # 1, 7, 9, 23, 39,
33.
Assignment
Class Work
Review Page 242 # 3, 5, 13, 17,
27, 29, 31, 33, 39, 47, 53.
Chapter 4 Test
Day 78
12/19/2013
Objective:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Test
Chapter 1-4 Review
Day 79
12/20/2013
Objectives.
• Reviewing chapter 1-4 .
• This is a Christmas break
package that will be used
to review for the AP exam.
Assignment
Class Work
• Start working with the
review.
Go over Chapter 4 Test
Day 80
1/6/2013
Objective:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
• Review Chapter 1-4 by
going over Chapter 4 Test.
Section 5.1
Estimating With Sums
Day 81
1/7/2014
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 LRAM,
MRAM, RRAM, TAM and
Trapezoidal Rule .
Homework
• Finish the worksheet.
Section 5.2
Day 82
1/8/2014
Objectives:
Definition of Riemann Sums.
Use the technology to evaluate
the definite integral.
Use the definite integral to find
the area under the curve.
Go over the Average Value
Theorem and Mean Value
Theorem for Integrals.
Use the properties and above
theorems to solve problems.
Definite Integrals
Assignment
Class Work
• Go over the warm up
• Go over the concept of
Riemann Sum and the
definite integral.
Homework
• Page 267 # 1-21 odd, 23.
Section 5.3
Integrals
Antiderivatives.
Day 83
1/9/2014
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.
Review Sections 5.1-5.3
Day 84
1/10/2014
Objectives:
• Use the total distance traveled to
introduce rectangular
approximation method.
• Use LRAM, MRAM, and RRAM
method to approximate the area
under the curve.
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
• Worksheet