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Transcript of ***Welcome Back*** Looking forward to an exiting and successful year!
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***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
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First Day of School
Day 1 8/18/2014Objectives:• 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.
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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
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Section 1.2 Functions and Graphs
Day 3 8/20/2014Objectives:• 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.
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Section 1.2 Functions and Graphs
Day 4 8/21/2014Objectives:• 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.
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Sections 1.3-1.5 Exponential and Logarithmic Functions
Day 5 8/22/2014Objectives:• 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.
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Sections 1.1-1.5 Review
Day 6 8/25/2014Objectives:• 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.
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Sections 1.1-1.5 Quiz
Day 7 8/26/2014Objectives:• 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
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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. HomeworkCheck the problems written on
the board.
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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. HomeworkHand out
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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.
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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 .
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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 .
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Calculus = Limits + Derivatives+ Integrals
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Section 2.1 Rates of Change and Limits
Day 13 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.
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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.
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Section 2.2 Limits Involving Infinity
Day 15 (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.
Assignment Class WorkGo over examples of infinite
limit.Go over investigation 1 on
page 68. Homework Page 70 # 1-11 odd, 17-27 odd.
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Section 2.2 Limits
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.
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*.
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Section 2.2 Limits
Day 17 9/10/2014Objectives: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 the warm up. • Go over # 50 page 72.• Go over examples from the
hand out. Homework • Finish the hand-out.
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Section 2.2 Limits
Day 18 9/11/2014Objectives: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 Quiz
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Section 2.3 Continuity
Day 19 (9/12/2014)
Objectives:• Understand continuity at a
point, open interval, and closed interval.
• Understand types of discontinuity.
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.
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Section 2.3 Continuity
Day 20 (9/15/2014)
Objectives:• Understand continuity at a
point, open interval, and closed interval.
• Understand types of discontinuity.
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.
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Section 2.3 Continuity
Day 21 (9/16/2014)
Objectives:• Understand continuity at a
point, open interval, and closed interval.
• Understand types of discontinuity.
Assignment Class WorkGo over IVT theorem and
examples. Homework • Page 91 # 1-7 odd. 15-24 all. • 29, 39, and 41.
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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 WorkGo over IVT theorem and
examples.
• Go over the homework.Homework • Start reviewing for the
Chapter Test. Work on the hand-out.
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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 WorkGo over IVT theorem and
examples.
• Go over the homework.Homework • Start reviewing for the
Chapter Test. Work on the hand-out.
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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
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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 WorkGo over the Test.Finish the problems written on board. “I was absent on 9/22/2014. this lesson was moved to 9/23/2014”
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Chapter 2 Review
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Section 2.4 Rates of Change and Tangent Line
Day 26 9/24/2014Objectives • 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 ! “
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Homework
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Section 2.4 Rates of Change and Tangent Line
Day 27 9/26/2014Objectives • 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.
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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.
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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 .
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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
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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.
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Section 3.2 Differentiability
Day 34 (10/6/2014)
Objectives: Understand how f’(a) might
fail to exist. See how differentiability
implies local linearity.
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 .
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Day 33 Warm up
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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
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Section 3.3 Differentiation Rules
Day 36 10/8/2014Objectives: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.
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Section 3.3 Differentiation Rules
Day 37 10/9/2014Objectives: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.
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Section 3.1-3.3 Differentiation Rules Day 38 10/10/2014Objectives: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
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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.
AssignmentClass Work • Go over examples.• Position, velocity,
acceleration, and their relationship.
HomeworkGo over the examples covered in class.
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Day 34 Warm Up
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Section 3.4 Velocity and Other Rates of Change
Day 40 10/14/2014
Objectives:• Find the instantaneous rate
of change. • Find motion along a line.
Find the sensitivity to change.
• Use derivatives in economics.
AssignmentClass 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 .
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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.
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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
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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
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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.
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Section 3.5 Derivatives of Trigonometric Functions
Day 45 10/22/2014Objectives:• Find the derivatives of
trigonometric functions.
Assignment Class work• Go over derivatives of trig
functions examples. HomeworkPage 140 1-9 all. 11, 13,and 15.
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Section 3.5 Derivatives of Trigonometric Functions
Day 46 10/22/2014Objectives:• 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.
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Section 3.5 Derivatives of Trigonometric Functions
Day 47 10/23/2014Objectives:• 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.
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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.
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Class Work
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Class Work
• 4.
• 5.
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Section 3.6 Chain Rule
Day 49 10/28/2014Objectives: Use the chain rule to find the
derivatives of composite functions.
Assignment Class Work • Go over chain rule
examples. Homework Page 146 # 1-23 odd.
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Section 3.6 Chain Rule
Day 50 10/29/2014
Objectives: Use the chain rule to find the
derivatives of composite functions.
Assignment Class Work • Go over the homework
questions . • Go over # 27, 37, 40 and 57
page 147• Homework Page 146-147 # 25-39 odd.
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Section 3.6 Chain Rule
Day 51 10/30/2014
Objectives: Use the chain rule to find the
derivatives of composite functions.
Assignment Class Work • Go over the homework
questions . Practice problems page # 147 # 2,4,8,14, 20, 24, 40, and 56.Quiz Tomorrow !!!!
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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
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Section 3.6 Chain Rule Quiz
Day 53 11/3/2014 Objectives: Use the chain rule to find the
derivatives of composite functions.
Assignment
Class Work Go over the Quiz. Finish the worksheet.
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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 WorkGo over the homework
questions. • Go over examples of implicit
differentiation. Homework• Page 155 # 1-21 odd.
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Section 3.7 Implicit Differentiation
Day 55 10/6/2014Objectives:• 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.
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Section 3.8 Derivatives of Inverse Trig Functions.
Day 56 11/7/2014Objectives:• 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.
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Section 3.8 Derivatives of Inverse Trig Functions.
Day 57 11/10/2014Objectives:• Find derivatives of inverse
trigonometric functions.
Assignment Class Work Go over the homework • Start working on the
worksheet.
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Section 3.9 Derivatives of Exponential and Logarithmic Functions.
Day 58 11/12/2014Objectives:• 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.
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AP Derivatives
• 1.
• 2.
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AP Derivatives
• 3.
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Quiz Review Sections 3.7-3.9
Day 59 11/13/2014Objectives:• 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.
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Quiz Sections 3.7-3.9
Day 60 11/14/2014Objectives:• 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 Quiz
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Chapter 3 Review
Day 61 11/17/2014Objectives: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.
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Chapter 3 Review
Day 62 11/19/2014Objectives:1. Review all differentiation
rules. 2. Review applications of
derivatives in Economy and physics.
Assignment Class Work /Homework AP Free Response Review.
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Review 11/19/2014
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Review 11/19/2014
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Review 11/19/2014
.
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Chapter 3 Test
Day 63 11/21/2014Objectives:1. Review all differentiation
rules. 2. Review applications of
derivatives in Economy and physics.
Assignment Class Work /Homework Chapter Test
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Section 4.1 Extreme Value theorem
Day 64 11/24/2014Objectives:• 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.
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Warm- up
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Chapter 3 Go over the Test.
Day 65 11/25/2014Objectives: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.
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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.
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Section 4.2 Mean Value Theorem
Day 67 12/1/2014Objectives:• 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.
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Section 4.3 Connecting f’ and f’’ with the graph of f.
Day 68 12/2/2014Objectives:• 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.
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Section 4.3 Connecting f’ and f’’ with the graph of f.
Day 69 12/3/2014Objectives:• 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.
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Section 4.3 Connecting f’ and f’’ with the graph of f.
Day 70 12/4/2014Objectives:• 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!!!!!
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Section 4.1-4.2 Quiz
Day 71 12/4/2014Objectives:• 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
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Section 4.1-4.2 Practice
Day 72 12/5/2014Objectives:• 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
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Section 4.1-4.2 Practice
Day 73 12/8/2014Objectives:• 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.
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Section 4.1-4.2 Practice
Day 74 12/10/2014Objectives:• 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.
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AP Practice • 1.
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AP Practice
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Section 4.4 Modeling and Optimization
Day 75 12/12/2014Objectives:Use derivatives to solve
problems from Business, industry, and differential mathematics.
Online help. http://online.math.uh.edu/apcalculus
AssignmentClass Work • Go over examples of
modeling and optimization.Homework • Page 214 # 3, 5, 7, and 13.
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Section 4.4 Modeling and Optimization
Day 76 12/15/2014Objectives:Use derivatives to solve
problems from Business, industry, and differential mathematics.
AssignmentClass Work • Go over the homework. • Finish the worksheet.
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Section 4.1-4.4 Review
Day 76 12/16/2014Objectives:Use derivatives to solve
problems from Business, industry, and differential mathematics.
AssignmentClass Work • Go over worksheet
problems.Homework • Study for the quiz tomorrow
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Section 4.1-4.4 Review
Day 76 12/17/2014Objectives:Use derivatives to solve
problems from Business, industry, and differential mathematics.
AssignmentClass Work Quiz
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Section 4.1-4.4 Review
Day 77 12/18/2014Objectives:Use derivatives to solve
problems from Business, industry, and differential mathematics.
AssignmentClass WorkPage 214 # 1,2,3,5, 7, 9,and 18.
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Section 4.1-4.4 Review
Day 78 12/19/2014Objectives:Use derivatives to solve
problems from Business, industry, and differential mathematics.
AssignmentClass WorkWorksheet
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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 questionsHomework Finish the worksheet.
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Section 4.6 Related Rates
Day 80 1/6/2015Objectives:• Learn solution strategies for
related rate problems. • Simulate related motions.
Assignment Class Work Go over examples of related
rates. Homework Study the text book examples
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Warm-up • 1.
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Section 4.6 Related Rates
Day 81 1/8/2015Objectives:• Learn solution strategies for
related rate problems. • Simulate related motions.
Assignment Class Work Go over examples of related
rates. Homework Page 238 # 11,13, 17, 22, 33
and 35. Due on Monday .
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Section 4.6 Related Rates
Day 82 1/9/2015Objectives:• Learn solution strategies for
related rate problems. • Simulate related motions.
Assignment Class Work Finish the worksheet.
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Section 4.5 Linearization and Newton’s Method
Day 83 1/14/2015Objectives:• 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.
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Section 4.5 Linearization and Newton’s Method
Day 84 1/14/2015Objectives:• 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. •
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Review Chapter 4
Day 85 1/15/2015Objectives:• 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.
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Review Chapter 4
Day 86 1/20/2015Objectives:• Use the tangent line to
approximate the function.• Learn solution strategies for
related rate problems. • Simulate related motions.
Assignment Class Work Worksheet.
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Review Chapter 4
Day 87 1/21/2015Objectives:• Use the tangent line to
approximate the function.• Learn solution strategies for
related rate problems. • Simulate related motions.
Assignment Class WorkGo over Thursday homework. Page 242 # 3, 5, 13, 17, 27, 29,
31, 33, 39, 47, 53. Homework Study for the Test
Tomorrow!!!!
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Chapter 4 Topic 1. Increasing 2. Decreasing3. Extreme values 4. Concavity Change 5. Inflection Points 6. Related Rates 7. Optimizations 8. Read the graph of the derivative
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Review Chapter 4
Day 88 1/22/2015Objectives:• Use the tangent line to
approximate the function.• Learn solution strategies for
related rate problems. • Simulate related motions.
Assignment Class WorkTest
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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 WorkGo over the Test. • Go over Examples of LRAM,
MRAM, and RRAM. Homework Worksheet
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Review Chapter 4
Day 90 1/26/2015Objectives:• 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 WorkGo over the Test Review derivatives. Homework Finish the Worksheet
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Section 5.2 Antiderivatives
Day 91 1/27/2015Objectives:Write the general solution of e
differential equation. Use the indefinite integral
notation for Antiderivatives.Find the particular solution of
a differential equation.
Assignment Class Work Go over examples of
Antiderivatives. Homework • Finish the worksheet
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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 WorkGo over homework questions. Go over examples of
LRAM,RRAM, MRAM, and Trapezoid Approximation Methods.
Finish the Worksheet
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Free Response
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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 WorkGo over homework questions. Finish the Worksheet
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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 WorkGo over examples of definite integral. Homework Page 267 # 1-25 odd.
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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 WorkGo over properties of definite
integral. Go over Average Value
Theorem and Mean Value Theorem for Integrals.
HomeworkPage 274 #1, 3, 5, use the
graphing calculator for 17*, and 19. 25.
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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.
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Section 5.1-5.3 Review
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.
Assignment Class Work Go over homework questions.
Homework Finish the worksheet Quiz Tomorrow !!!!!!
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Section 5.1-5.3 Review
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.
Assignment Class Work Quiz
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Section 5.1-5.3 Review
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.
Assignment Class Work Page 275 # 2, 17, and 20.Page 286 # 2-14 even and 26. Due tomorrow !!!!!! Go over the Quiz.
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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 .
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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.
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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 !!!!!
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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
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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.
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Section 6.2 Integration by Substitution
Day 106 2/20/2015Objectives:• 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.
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Section 6.2 Integration by Substitution
Day 107 2/23/2015Objectives:• 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 .
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Section 6.2 Integration by Substitution
Day 108 2/24/2015Objectives:• 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 .
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Section 6.2 Integration by Substitution
Day 109 2/25/2015Objectives:• 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!”
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Section 6.2 Integration by Substitution
Day 110 2/26/2015Objectives:• 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.
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Section 6.2 Integration by Substitution
Day 111 2/27/2015Objectives:• 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.
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Section 6.1 Antiderivatives and slope Fields.
Day 112 3/2/2015Objectives:• Solve initial value problems. • Relationship between
antiderivatives and indefinite integrals.
• Use separation of variables to solve differential equations.
Assignment Class WorkGo over the quiz. Practice AP-questions.
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Section 6.1 Antiderivatives and slope Fields.
Day 113 3/3/2015Objectives:• 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.
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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
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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
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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.
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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 !”
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Section 6.1 -6.2 Quiz
Day 118 3/13/2015Objectives:• Solve initial value problems. • Relationship between
antiderivatives and indefinite integrals.
• Use separation of variables to solve differential equations.
Assignment Class Work Quiz
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Go over section 6.1 -6.2 Quiz
Day 119 3/16/2015Objectives:• 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.
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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.
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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.
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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.
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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 .
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Section 7.2 Areas in the Plane
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.
Assignment Class Work Go over examples of areas
between two curves. Homework Page 380 # 1,3,7, 9, 11,13.
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Section 7.2 Areas in the Plane
Day 125 4/1/2015Objectives:• Find the area between two
curves. • Find the area using new
boundaries with changing function.
• Integrating with respect to y.
Assignment Class Work • Hand out
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Section 7.2 Areas in the Plane
Day 126 4/2/2015Objectives:• Find the area between two
curves. • Find the area using new
boundaries with changing function.
• Integrating with respect to y.
Assignment Class Work • Practice AP-Questions.
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Section 7.2 Areas in the Plane
Day 127 4/6/2015Objectives:• Find the area between two
curves. • Find the area using new
boundaries with changing function.
• Integrating with respect to y.
Assignment Class Work • Practice AP-Questions.
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AP Free Response (2013)
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AP Free Response (2012)
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AP Free Response 2014
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Exam Question 2008
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Exam Questions 2005
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Exam Question 2005
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Exam Questions 2004
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Areas in the Plane and Net Change Theorem Quiz
Day 128 4/7/2015Objectives:• Find the area between two
curves. • Find the area using new
boundaries with changing function.
• Integrating with respect to y.
Assignment Class Work • Quiz
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Section 7.3 Volumes
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.
Assignment • Class Work • Go over examples of
Cylindrical shell method. Homework • Hand out
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Section 7.3 Volumes
Day 130 4/9/2015Objectives. • 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. “
Assignment Class Work Go over examples of volume of
solid with known cross sections.
Go over problem page 390 # and 2.
Homework Hand out
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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.
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AP Free Response 2011
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AP Free Response 2010
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Section 7.3 Volumes
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.
Assignment Class Work Go over examples of volume of
surface of revolution. Homework Hand out
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Section 7.3 Volumes
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.
Assignment Class Work Go over examples of volume of
solid with known cross sections.
Homework Hand out
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Section 7.3 Volumes
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! “
Assignment Class Work Go over examples of volume of
solid with known cross sections.
Homework Hand out
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Section 7.3 Volumes Test
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.
Assignment Class Work Go over examples of volume of
solid with known cross sections.
Homework Hand out
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Section 7.3 Volumes Test
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.
Assignment Class Work Go over AP Free Response
Questions Homework Study for the test tomorrow!
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AP Free Response 8
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AP Free Response 9
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AP Free Response 7
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AP Free Response 6
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AP Free Response 3
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Volumes Test
Day 138 4/24/2015Objectives. • 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
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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.