Transcript Lines

Lines
Day 2
(8/21/2012)
• 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 the LCD Power
Point presentation.
• Start working on the
homework
Homework
• Page 7 # 1-37 odd.
Section 1.2
Functions and Graphs
Day 3
(8/22/2012)
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 LCD Power
Point presentation.
• Go over problems page 1718 # 2, 6,8,12,14, 20, 28, 32.
Homework
Page 17 # 1- 31 odd.
Section 1.2
Day 4
Functions and Graphs
(8/23/2012)
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 the LCD Power
Point presentation.
• Go over problems page 18 #
38, 40, 42, 44, 50, 52, 60.
Homework
Page 18-19 # 37-47 odd 49,
51, 59, .
Section 1.3
Day 5
Exponential Functions
(8/24/2012)
Objectives:
• Determine the domain the
range and the graph of
exponential function.
• Solve problems using
exponential function.
Assignments
• Go over Exploration 1 and
Example 2.
Class Work
• Page 24 # 2-14 even, 28.
Homework
• Page 24-25 # 1-13 odd, 2333 odd.
Section 1.4
Day 6
(8/28/2012)
• Objectives:
• Definition of one to one
functions.
• Inverses functions .
• Logarithmic Function.
Properties of logarithms.
Application.
Logarithmic Function
Assignment
Class Work
• LCD Power Point
Presentation.
• Go over page 39 # 4, 6,14,
18, 34, 40*.
Homework:
• Page 39 # 1-43 odd and 47.
Review sections 1.1-1.5
Day 7
(8/29/2012)
• Objectives:
Review sections 1.1-1.5
Assignment
• Class work
Hand-out
Quiz
Day 8
(8/30/2012)
• Objectives:
• Quiz on section 1.1-1.5
Assignment
Homework
• Read section 1.6
Section 1.6
Day 9
(8/31/2012)
• 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 basic trigonometric
concept. Go over examples.
Homework
Hand-out
Section 1.6
Trigonometric functions
Day 10
(9/4/2012)
• 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 examples
• Finish the hand out
Homework
• Page 49 # 11-19 odd. 25- 29
odd.
Section 1.6 Trigonometric Functions
Day 11
(9/5/2012)
• Objectives:
• Evaluate and graph
trigonometric functions.
Assignment
Class work
• Go over the warm up and
homework questions.
• Quiz.
Homework
• Hand- out
Section 1.6
Inverse Trigonometric functions
Day 12
(9/6/2012)
Objectives:
• Find, Range , Domain, and
graph of inverse
trigonometric functions.
• Evaluate Inverse
trigonometric functions.
Assignment
Class Work
• Extra time for the quiz.(10
min).
• Go over examples.
Homework
Hand out.
Chapter 1
Day 13
(9/7/2012)
• Objectives:
• Summarize the graphs of
basic functions.
• Range, Domain, symmetry,
zeros of basic functions.
Review
Assignment
Class Work:
• Hand- out due in the end of
the class.
Homework :
• Read section 2.1
Section 2.1
Rates of Change and Limits
Day 14
(9/10/2012)
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 examples 1-5 page
62 # 4, 6,.
Homework
Page 62 # 1-15 odd.
Section 2.1
Rates of Change and Limits
Day 15
9/11/12
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
Day 16
Rates of Change and Limits
(9/12/2012)
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.
Chapter 2 Test
Day 17
(9/13/2012)
Assignment
Section 2.2
Day 18
Limits Involving
(9/14/2012)
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 the quiz
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 19
(9/18/2012)
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 quiz
2. Go over the warm up.
3. 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 20
9/19/2012
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.
• Hand out due on 9/20/2012
Section 2.3
Day 21
(9/20/2012)
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Continuity
Assignment
Class Work
1. Go over hand out
questions.
2. 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 22
(9/21/ 2012)
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Continuity
Assignment
Class work
• Go over the homework
• Go over theorem 6 page 78
• Quiz.
Homework
Page 81 # 17 -29 all.
Section 2.3Intermediate Value Theorem
(IVT)
Day 23
(9/24/2012)
Objectives:
• Understand continuity at a
point, open interval, and
closed interval.
• Understand types of
discontinuity.
Assignment
Class Work
1. Go over the warm up.
2. Go over IVT theorem and
examples.
3. Hand out.
Homework
• Finish the hand out.
Warm up
Day 23
Intermediate Value Theorem
Day 24 (9/25/2012)
• Finish the hand out of Emergency Lesson Plan.
Section 2.4
Rates of Change and Tangent Lines.
Day 25
(9/26/2012)
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 hand out questions.
2. Go over definition of the
slope of the curve. Example 1
on page 82.
3. Go over examples 4 and 5 on
page 85.
Homework
Page 87 # 1-5 odd, 9, 11, 13, 15.
Chapter 2
Day 26
(9/28/ 2012)
Objectives:
• Review:
• definition of Limit.
properties of limits.
• infinite limit
• horizontal and vertical
asymptotes.
Review
Assignment
Class Work
Go over the warm up
• Go over the Quiz
• Go over homework
questions.
• Homework
• Page 91 # 1-7 odd, 15-25 all.
27, 29, 33, 39, 41, 45.
Day 27
• Chapter 2
(10/1/2012)
Test
Section 3.1 Derivative of a
Function.
Day 28
(10/2/1012)
Objectives:
1. Understand and use the
definitions of derivative.
2. Use proper notation.
Assignment
Class Work
• Go over the definition of
the Derivative.
Homework
• Page 101 # 1-10 all on Quick
review, and 1-6 all on
section 3.1 exercises.
Section 3.1 Derivative of a
Function.
Day 29
(10/3/2012)
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 warm up.
Go over Example 3 and
Exploration 1 Page 98.
Work on problems page 101 #
7-10 all,17, and 18.
Homework
Hand out.
Section 3.1 Derivative of a
Function.
Day 30
(10/4/ 2012)
Objectives:
• Review the definition on the
derivative and relationship
between the graph of f and
f’.
Assignment
Class Work
• Go over the hand out
questions.
Homework
• Page 104 # 26.
Section 3.2Differentiability
Day 31
(10/5/2012)
Objectives:
Understand how f’(a) might
fail to exist.
See how differentiability
implies local linearity.
Assignment
Class Work
Go over the hand out.
• Go over examples 1-4 points
at which f’ fail to exits.
Homework
Page 111 # 1-10 all, 11, 13 21
and 29 .
Section 3.2
Day 32
10/8/2012
Objectives:
Understand how f’(a) might
fail to exist.
See how differentiability
implies local linearity.
Differentiability
Assignment
Class Work
• Go over the warm up
• Go over the chapter 2 Test
Homework
• Hand out # 9 b-d all and 10
c and d.
Day 32
• 1
Warm up
Section 3.1-3.2 Differentiation
Day 33
10/9/2012
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 the hand out and
homework questions.
Homework
Read Examples of section 3.3
Day 33
Warm up
Section 3.3 Differentiation Rules
Day 33
10/10/ 2012
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 differentiation
Rules.
Homework
Page 120 # 1-13 odd, 17, 21
Day 34
Warm Up
Section 3.3 Differentiation Rules
Day 35
10/11/2012
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 23 page 120.
Due in the end of the class
page 120 # 2-18 even, 24,
and 26.
Homework
Page 120 # 25, 27, 33, 35.
Section 3.5
Derivatives of
Trigonometric Functions
Day 36
10/12/2012
Objectives:
• Find the derivatives of
trigonometric functions.
Assignment
Class work
• Go over the warm up
• Go over homework
questions.
• Go over derivatives of trig
functions examples.
Homework
Page 140 1-9 all. 11, 13, 19.
Day 36
Warm Up
Section 3.6
Day 37
10/15/2012
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over the warm up.
• Go over chain rule
examples.
Homework
Page 146 # 1-23 odd.
Section 3.6
Day 38
10/16/2012
Objectives:
Use the chain rule to find the
derivatives of composite
functions.
Chain Rule
Assignment
Class Work
• Go over the warm up. Go
over page 147 # 26, 34, 36,
56.
Homework
Page 146-147 # 25-37 odd,
and 57.
Section 3.1-3.6
Day 39
10/17/ 2012
Objectives:
• Use definition of the
derivative to find the
derivative.
• Use differentiation rules of
sections 3.2-3.6
Review
Assignment
Class Work
• Hand out
Homework
Go over the homework
sections 3.1-3.6 and today's
hand out in order to
prepare for the quiz.
Section 3.1-3.6
Day 4o
10/18/ 2012
Objectives:
• Use definition of the
derivative to find the
derivative.
• Use differentiation rules of
sections 3.2-3.6
Review
Assignment
Class Work
• Hand out
Homework
Go over the homework
sections 3.1-3.6 and today's
hand out in order to
prepare for the quiz.
Day 41
10/19/ 2012
Sections 3.1- 3.6 Quiz
Section 3.7 Implicit Differentiation
Day 42
10/ 19/ 2012
Objectives:
• Work with implicitly defined
functions.
• Use implicit differentiation
to find dy/dx.
• “This lesson is post pointed
for 10/23/2012 Due to PSAT
testing”
Assignment
Class Work
• Go over the Quiz
• Go over examples of implicit
differentiation.
Homework
Page 155 # 1-19 odd.
Review
DAY 42
10/22/ 2012
Objectives:
• Review sections 3.1-3.6
• Practice differentiation rules
and Chain Rule.
Sections 3.1-3.6
Assignment
Class Work
• Hand out
Section 3.7 Implicit Differentiation
Day 42
10/23/2012
Objectives:
• Work with implicitly defined
functions.
• Use implicit differentiation
to find dy/dx.
Assignment
Class Work
• Go over the Warm up
• Go over examples of implicit
differentiation.
Homework
Page 155 # 1-19 odd.
Section 3.7 Implicit Differentiation
Day 43
10/24/2012
Objectives:
• Work with implicitly defined
functions.
• Use implicit differentiation
to find dy/dx.
Assignment
Class Work
• Go over the Quiz
• Go over Example 4 pg 152
and # 28, 34, 41, 46 on page
155-156.
Homework
Page 155-156 # 23, 25, 27, 33,
39.
Section 3.8
Derivatives of
Inverse Trig Functions.
Day 44
10/25/2012
Objectives:
• Find derivatives of inverse
trigonometric functions.
• (Early Realise we could not
start this section)
Assignment
Class Work
• Go over the warm up
• Go over differentiation
Rules of Inverse Trig
Functions.
Homework
Page 162 # 1-15 odd.
Day 45
10/26/2012
• No school Teacher’s Planning Day
Section 3.8
Derivatives of
Inverse Trig functions.
Day 46
10/29/2012
Objectives:
• Evaluate derivatives of all
inverse trigonometric
functions.
Assignment
Class Work
Go over the warm up.
Go over examples of
derivatives of trigonometric
functions. Go over 20 page
162.
Page 162 # 1-11 odd, 15, 19,
21, 22.
Day 46/47
Warm up
Section 3.9
Derivatives of Exponential and
Logarithmic Functions.
Day 48
10/31/2012
Objectives:
• Evaluate derivatives of
exponential and logarithmic
functions.
• Use chain rule for log and
exponential functions.
• (Blok schedule day 49
11/1/2012 )
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.
Day 48/49
Warm up
Section 3.8-3.9
Day 50
11/2/2012
Objectives:
• Review and test derivatives
of inverse trigonometric
functions, logarithmic, and
exponential functions.
• (Block Schedule Day 51
11/5/2012)
Review/ Quiz
Assignment
Class Work
• Go over the warm up
• Review . Go over questions.
Hand out.
• Page 162 # 2-12 even Page
170 2-22 even , 32, 38.
Day 50/51
Warm up
Day 52
11/7/2012
Quiz Derivatives
Go over the Quiz
Day 53
11/8/2012
Objectives:
• Go over differentiation
Rules.
• Find the instantaneous rate
of change.
Assignment
Class Work
Go over the quiz
Go over example 1 page 122.
Homework
Page 130 # 8 and 9
Section 3.4
Velocity and Other Rates of
Change
Day 54
11/9/2012
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, 5,9,11 .
Section 3.4
Velocity and Other
Rates of Change
Day 55
11/13/2012
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
Page 130 # 12, 13, 15.
Section 3.4
Day 55
Velocity and Other Rates of
Change
11/14/2012
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
• Page 130-132 # 21,23, 25,
27, 31,28.
Chapter 3 Review
Day 56
11/15/2012
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*.
Chapter 3 Review
Day 57
11/16/2012
Objectives:
1. Review all differentiation
rules.
2. Review applications of
derivatives in economy and
physics.
Assignment
Class Work
Page 172 # 2-20 even, 38, 46,
67.
Due in the end of the class
Chapter 3 Review
Day 58
11/19/2012
Objectives:
1. Review all differentiation
rules.
2. Review applications of
derivatives in economy and
physics.
Assignment
Class Work
• Go over the warm up
• Go over homework
questions.
Homework
• Review all differentiation
rules.
Review
11/19/2012
Day 59
11/20/2012
Chapter 4 Test
Section 4.1
Extreme Value theorem
Day 60
11/21/2012
Objectives:
• Definition of absolute and
local minimum and
maximum values.
• Extreme values and the first
derivative.
Assignment
Class Work
• Go over the test
• Go over power point
presentation .
Homework
• Page 184 # 1-13.
Section 4.1
Extreme Value
theorem
Day 61
11/26/2012
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 homework
questions.
• Go over # 37,42, 46
Homework
• Page 184 # 15, 17, 41, 4548.
Warm up
Section 4.1
Day 62
Extreme Value
theorem
11/27/2012
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 homework
questions.
• Hand-out
Homework
• Finish the hand out.
Section 4.2
Mean Value
Theorem
Day 63
11/28/2012
Objectives:
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
• Go over the warm up.
• Go over examples.
Homework:
Page 192 # 1-17 odd.
Section 4.2
Mean Value
Theorem
Day 64
11/29/2012
Objectives:
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
• Go over the Warm up
Page 192 # 21,22,23, 24, 35 a,
36 , 37, 39,40, 41,42.
Section 4.2
Mean Value
Theorem
Day 65
11/30/2012
Objectives:
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
• Go over homework
questions.
Hand out
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 66
12/3/2012
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 67
11/4/2012
Objectives:
• Find points of inflection 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 homework
questions.
• Go over examples # 5, 8,
page 204 # 10.
Homework
• Page 204 # 13, 15, 19, 29,
31.
Section 4.3
Connecting f’ and
f’’ with the graph of f.
Day 68
12/5/2012
Objectives:
• Find points of inflection 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 pg 205 # 34.
Homework
• Page 204 # 33, 35, 37, 41,
47.
Day 69 12/5/2012
Quiz
Sections 4.1-4.3
Section 4.1-4.3
Connecting f’
and f’’ with the graph of f.
Day 70
12/7/2012
Objectives:
• Review
• Local and absolute
extreme.
• Find points of inflections.
• Relationship between the
graph of f, f’ and f”.
Assignment
Class Work
• Go over the quiz
Homework
• Read Examples 1-4 page
206-207.
Section 4.4
Modeling
and Optimization
Day 71
12/10/2012
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.
Homework
Page 214 # 1, 3, 7, 9,
Section 4.4
Modeling
and Optimization
Day 72
12/11/2012
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Go over the warm up.
Go over examples # 4, 5.
Homework
Page 214-215 # 11,15,17, 19.
Section 4.4
Modeling
and Optimization
Day 73
12/12/2012
Objectives:
Use derivatives to solve
problems from Business,
industry, and differential
mathematics.
Assignment
Class Work
Page 214-215.
2, 4, 6, 10, 16.
Day 73
Answers
2) The largest area is 25/4
4) Maximum at x= 2. The rectangle with the
larges area is square.
6) Largest are = 32; dimensions 4 and 8.
10) Dimensions 12 m by 18 m.
16) Radius = Height = 6.83 cm.
Day 74
12/13/2012
Section 4.4 Quiz
Section 4.5
Linearization
and Newton’s Method
Day 75
12/14/2012
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 warm up.
• Go over examples.
Homework:
Page 229 # 3, 5, 7, 11, 13, 19,
21.
Section 4.5
Linearization
and Newton’s Method
Day 76
12/17/2012
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 warm up
• Go over examples page 226
# 8,9,11,12.
Homework
Page 230 # 27, 31, 39, 41, 43.
Day 76
Warm up
Section 4.6
Day 77
12/18/2012
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Related Rates
Assignment
Class Work
• Go over the warm up.
• Go over example # 2 page
237 # 8, 10.
Homework
Page 238 # 11 and 13.
Section 4.6
Day 78
12/19/2012
Objectives:
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Related Rates
Assignment
Class Work
Go over the warm up.
Go over the example # 4.
Homework
Page 238 # 17, 22, 33,35.
Day 79
12/20/2012
Quiz sections 4.5-4.6
Section 4.5-4.6
Day 80
12/21/2012
Objectives:
Review chapters 1-4
Start working on winter
package.
Review
Assignment
Class Work
Go over the quiz.
Start working on winter
package.
Review Chapters 1-4
Day 81
1/7/2013
Objectives:
• Review chapters 1-4
Assignment
Class Work
Go over questions of the
winter package.
Finish the winter package.
Review Chapter 4
Day 82
1/8/2013
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 83
1/9/2013
Objectives:
• Use the tangent line to
approximate the function.
• Learn solution strategies for
related rate problems.
• Simulate related motions.
Assignment
Class Work
• Go over free response
examples
• Go over the Section 4.4-4.5
Quiz.
Day 84
1/10/2013
Chapter 4 Test
Class Work
1/11/2013
Section 5.1
Estimating With Sums
Day 86
1/14/2013
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 chapter 4 Test.
• Go over Examples of LRAM,
MRAM, and RRAM.
• Class work
• Page 254 # 3 only for n=10.
and 11.
Section 5.2
Day 88
1/16/2013
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 the warm up.
Go over examples.
Class Work
Hand out Page 255 # 1-39
ODD.
Section 5.2
Day 89
1/17/2013
Objectives:
Write the general solution of e
differential equation.
Use the indefinite integral
notation for untiderivatives.
Find the particular solution of
a differential equation.
Antiderivatives
Assignment
Class Work
• Finish the hand out.
Section 5.2
Day 90
1/22/2013
Objectives:
Write the general solution of e
differential equation.
Use the indefinite integral
notation for Antiderivatives.
Find the particular solution of
a differential equation.
Block schedules.
Antiderivatives
Assignment
Class Work
Go over examples of
Antiderivatives.
• Hand- out # 1-39 odd.
Untiderivatives AP-Practice
Day 91
1/23/2013
Objectives:
• Practice AP-questions using
the untiderivatives.
Block schedules.
Assignment
Class Work
• Go over the warm up
• Go over hand out questions
• Finish the hand-out.
Untiderivatives AP-Practice
Day 92
1/24/2013
Objectives:
• Practice AP-questions using
the untiderivatives.
Block schedules
Assignment
Class Work
• Go over the warm up
• Go over hand out questions
• Finish the hand-out.
Untiderivatives AP-Practice
Day 93
1/25/2013
Objectives:
• Practice AP-questions using
the untiderivatives free
response.
Assignment
Class Work
• Go over the warm up
• Go over hand out questions
• Finish the hand-out.
Section 5.2
Definite Integrals
Day 94
1/28/2013
Objectives:
Definition of Riemann Sums.
Use the technology to evaluate
the definite integral.
Use the definite integral to
find the area under the
curve.
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 95
1/29/2013
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 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 100
1/30/2013
Objectives:
• Review RAM.
• Antiderivatives.
• Riemann Sum
• Properties of definite
integral.
• Area under the curve.
• Average Value Theorem and
Mean Value Theorem for
Integrals.
Assignment
Class Work
• Hand out
Sections 5.1-5.3
Day 101
1/31/2013
Objectives:
• Test the following concepts
• Review RAM.
• Antiderivatives.
• Riemann Sum
• Properties of definite integral.
• Area under the curve.
• Average Value Theorem and
Mean Value Theorem for
Integrals.
Assignment
Class Work
• Quiz
Quiz
1/2/2013
Teachers Planning Day
Section 5.1-5.3
Day 103
2/4/2013
Objectives:
• Area under the curve.
• Average Value Theorem and
Mean Value Theorem for
Integrals.
Practice
Assignment
Class Work
• Quiz make up
• Page 274 # 2, 4, 6, 8, 10,
18,19, 20, 26, 30.
Section 5.4
Fundamental
Theorem of Calculus.
Day 104
2/5/2013
Objectives:
• Understand and use
fundamental theorem of
calculus part 1 and 2.
• Find the area under the
curve and other
applications.
Assignment
Class Work
Go over fundamental theorem
of calculus part 1 and 2 and
examples.
Homework
Page 286 # 1-11 odd, 25, 27
(no graphing calculator).31,
33.
Section 5.4
Fundamental
Theorem of Calculus.
Day 105
1/6/2013
Objectives:
• Understand and use
fundamental theorem of
calculus part 1 and 2.
• Find the area under the
curve and other
applications.
Assignment
Class Work
Go over fundamental theorem
of calculus part 1 and 2 and
examples.
Homework
Page 290 # 37-45 odd. 53, 55.
Section 5.4
Fundamental
Theorem of Calculus.
Day 106
2/7/2013
Objectives:
• Understand and use
fundamental theorem of
calculus part 1 and 2.
• Find the area under the
curve and other
applications.
Assignment
Class Work
• Page 286 # 8, 12, 26, 38, 40,
42, 44, 54.
Due in the end of the class
Section 5.5
Day 107
2/8/2013
Objectives:
Use the Trapezoidal Rule to
find the Area.
Trapezoidal Rule
Assignment
Class Work
• Go over the warm up
• Go over Trapezoidal Rule
and examples.
Homework
Page 295 # 1,5, and 9.
Section 5.5
Day 108
2/11/2013
Objectives:
Use the Trapezoidal Rule to
find the Area.
Trapezoidal Rule
Assignment
Class Work
• Go over the warm up
• Go over Trapezoidal Rule
and examples.
Homework
Page 295 # 1,5, and 9.
Chapter 5 Review
Day 109
2/12/2013
Objectives:
• Area under the curve.
• Average Value Theorem and
Mean Value Theorem for
Integrals.
• Understand and use
fundamental theorem of
calculus part 1 and 2.
• Find the area under the curve
and other applications.
Assignment
Class Work
• Page 298 # 12 a) and b), 21,
32, 34, 44.
• Homework
• Page 298 # 9, 12 c-e, 17, 23,
31, 33, 38, 39, 41.
Chapter 5 Review
Day 110
2/13/2013
Objectives:
• Area under the curve.
• Average Value Theorem and
Mean Value Theorem for
Integrals.
• Understand and use
fundamental theorem of
calculus part 1 and 2.
• Find the area under the curve
and other applications.
Assignment
Class Work
• Page 299 # 46 and 54
Homework
Page 298 # 1-7 all.
Chapter 5 Review
Day 111
2/14/2013
Objectives:
Practice AP-exam free
response questions from
chapter 5 concepts.
Early Release Day
Assignment
Class Work
• Go over AP-exam Free
Response of 2012 # 3 and
2011, 2007.
Chapter 5 Test
Day 112
2/15/2013
Objectives:
• Area under the curve.
• Average Value Theorem and
Mean Value Theorem for
Integrals.
• Understand and use
fundamental theorem of
calculus part 1 and 2.
• Find the area under the curve
and other applications.
Assignment
Class Work
Chapter 5 Test
Homework
Go over the examples of
section 6.1
Chapter 5 Test
Day 113
2/19/2013
Objectives:
• Area under the curve.
• Average Value Theorem and
Mean Value Theorem for
Integrals.
• Understand and use
fundamental theorem of
calculus part 1 and 2.
• Find the area under the curve
and other applications.
Assignment
Class Work
Chapter 5 Test Free Response.
Homework
Handout.
Section 4.5
Substitution
Integration by
(Hand out )
Day 114
2/20/2013
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 the quiz.
• Go over examples of
integration by substitution.
Homework
Page 306 # 11-29 odd, 47-53
odd, 67, 69.
Section 4.5
Substitution
Day 115
2/21/2013
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.
Integration by
(Hand out )
Assignment
Class Work
• Go over examples from the
hand out.
• Hand out problems.
Section 6.2
Day 116
Integration by
Substitution
2/22/2013
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
• Page 321 # 2, 4, 6, 8, 11, 12,
15, 22, 24, 25.
• Due in the end of the class.
Section 6.1
Antiderivatives and
slope Fields.
Day 117
2/25/2013
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 chapter 5 Test
• Go over the separation of
variables technique to solve
differential equations.
Homework
• Read all the examples of
section 6.1
• Page 113 # 27- 37 odd.
Section 6.1
Antiderivatives and
slope Fields.
Day 118
2/26/2013
Objectives:
• Solve initial value problems.
• Relationship between
antiderivatives and
indefinite integrals.
• Use separation of variables
to solve differential
equations.
Seniors Picnic !!
Assignment
Class Work
• Go over the chapter 5 Test
• Go over the separation of
variables technique to solve
differential equations.
Homework
• Read all the examples of
section 6.1
• Page 113 # 27- 37 odd.
Section 6.1
Antiderivatives and
slope Fields.
Day 119
2/27/2013
Objectives:
• Solve initial value problems.
• Relationship between
antiderivatives and
indefinite integrals.
• Use separation of variables
to solve differential
equations.
Assignment
Class Work /Homework
Page 313 # 32, 39, 40, 41, 53,
55.
Quiz section 6.1-6.2
Day 119
2/ 27/2013
Objectives:
• Use the pattern recognition to
find the indefinite integral.
• Solve initial value problems.
• Relationship between
antiderivatives and indefinite
integrals.
• Use separation of variables to
solve differential equations.
Assignment
Class work
• Quiz
Free response AP Questions from
Sections 6.1-6.2
Day 120
2/28/2013
Objectives:
• Use the pattern recognition to
find the indefinite integral.
• Solve initial value problems.
• Relationship between
antiderivatives and indefinite
integrals.
• Use separation of variables to
solve differential equations.
Assignment
Class work
Hand-out
# 1-17 all.
Free response AP Questions from
Sections 6.1-6.2
Day 120
3/4/2013
Objectives:
• Use the pattern recognition to
find the indefinite integral.
• Solve initial value problems.
• Relationship between
antiderivatives and indefinite
integrals.
• Use separation of variables to
solve differential equations.
Assignment
Class work
Go over quiz questions
Go over examples of Free
Response.
Finish the Hand-out
Section 6.4
Exponential
Growth and Decay.
Day 121
3/5/2013
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Assignment
Class Work
• Go over hand out questions
• Go over examples of
exponential growth and
decay.
Homework
Hand out # 1-13 all.
Section 6.4
Exponential
Growth and Decay.
Day 122
3/6/2013
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Assignment
Class Work
• Go over Warm up
• Go over examples of
exponential growth and
decay.
• Finish the hand out
Homework
Study both hand outs for the
tomorrow’s quiz .
Review
Day 123
3/7/2013
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Sections 6.1-6.4
Assignment
Class Work
Finish the hand out.
Quiz
Day 124
8/3/2013
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Sections 6.1-6.4
Assignment
Class Work
Quiz
Go over the Quiz Sections 6.1-6.4
Day 125
3/11/2013
Objectives:
Use separation of variables to
solve differential equation.
Use Law of exponential change
to solve real life problems.
Assignment
Class Work
• Go over the quiz
Homework
Read the examples of section
7.1
Section 7.1
Integral as a
Net Change
Day 126
3/12/2013
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data.
Assignment
Class Work
• Go over the warm up
• Go over examples # 2, 3,and
4
Homework
• Page 371 # 1,5,7, 9, 11 and
12-16 all.
Section 7.1
Integral as a
Net Change
Day 127
3/13/2013
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
Assignment
Class Work
• Go over homework
questions.
• Go over examples # 5, 6, 7.
• Homework
• Page 371 # 17,19, 21, 28,
29, 31.
• Due on 3/14/2013
Section 7.1
Integral as a Net
Change
Day 128
3/14/2013
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
• Block schedule 3/15/2013
Assignment
Class Work
• Go over homework
questions.
• Hand-out
Section 7.1
Integral as a Net
Change
Day 129
3/18/2013
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
Assignment
Class Work
• Go over hand out questions.
• Go over AP Free Response.
Homework
• Review the hand out
prepare for the quiz
Section 7.1
Integral as a Net
Change
Day 130
3/19/2013
Objectives:
• Revisited the linear motion.
• Solve problems involving
consumption over time.
• Solve problems of net
change from the data
Assignment
Class Work
• Quiz
Section 7.2
Day 131
3/20/2013
• 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 132
3/21/2013
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
• Page 380 # 2,4,6, 8, 32, 34.
Section 7.2
Day 133
4/1/2013
Objectives:
• Find the area between two
curves.
• Find the area using new
boundaries with changing
function.
• Integrating with respect to
y.
• Review
Areas in the Plane
Assignment
Class Work
• Hand out
Section 7.3
Day 134
4/2/2013
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 135
4/3/2013
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.
Go over problem page 390 #
and 2.
Homework
Hand out
Section 7.3
Day 136
4/4/2013
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
• Finish the hand out
Section 7.3
Day 137
4/5/2013
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
• Hand out
AP Review
Day 138
4/8/2013
Objectives.
• Review limits and
properties of limits AP Exam
Review.
• “I was out sick “
Assignment
Class Work
• Hand out
Sections 7.2-7.3 Quiz
Day 139
4/9/2013
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
• Quiz.
Go Over The Quiz
Day 140
4/10/2013
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
• Go over the Quiz.
AP Review
Day 141
4/11/2013
Objectives.
• Review limits and
properties of limits AP Exam
Review.
• Continuity and limits.
Assignment
Class Work
• Hand out
AP Review
Day 141
4/12/2013
Objectives.
• Review limits and
properties of limits AP Exam
Review.
• Continuity and limits.
Assignment
Class Work
• Hand out
AP Review
Day 141
4/15/2013
Objectives.
• Review limits and
properties of limits AP Exam
Review.
• Continuity and limits.
• “Block schedule”
• 4/17/2013
Assignment
Class Work
• Finish the hand out on
limits.
• Finish the review examples
on topics 1-5all.
L’Hopital’s Rule
Day 142
4/16/2013
Objectives:
• Use the L’Hopital’s Rule to
find the limit of 0/0 and
∞/∞ forms.
• Convert a given limit in to
L’Hopital’s form.
• “Block schedule”
• 4/18/2013
Assignment
Class Work
• Go over examples
• Page 423 # 1-6 all, 11-39
odd and 12, 16, 24, 30, 36,
42.
Derivatives Review
Day 143
4/19/2013
Objectives:
Review topic 6-15
Differentiation rules.
Applications of derivatives.
Assignment
Class work
Write and solve three
problems for each topic.