***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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***Welcome Back***  Looking forward to an exiting and successful year!. Your last names are attached on the desk in alphabetical order. Please, look for your name and be seated. Thank you! Mrs. Hankollari. First Day of School. Day 1 8/18/2014. - PowerPoint PPT Presentation

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Page 1: ***Welcome Back***   Looking forward to an exiting and successful year!

***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

Page 2: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 3: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 4: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 5: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 6: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 7: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 8: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 9: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 10: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 11: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 12: ***Welcome Back***   Looking forward to an exiting and successful year!

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 .

Page 13: ***Welcome Back***   Looking forward to an exiting and successful year!

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 .

Page 14: ***Welcome Back***   Looking forward to an exiting and successful year!

Calculus = Limits + Derivatives+ Integrals

Page 15: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 16: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 17: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 18: ***Welcome Back***   Looking forward to an exiting and successful year!

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*.

Page 19: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 20: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 21: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 22: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 23: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 24: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 25: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 26: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 27: ***Welcome Back***   Looking forward to an exiting and successful year!

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”

Page 28: ***Welcome Back***   Looking forward to an exiting and successful year!

Chapter 2 Review

Page 29: ***Welcome Back***   Looking forward to an exiting and successful year!
Page 30: ***Welcome Back***   Looking forward to an exiting and successful year!
Page 31: ***Welcome Back***   Looking forward to an exiting and successful year!

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 ! “

Page 32: ***Welcome Back***   Looking forward to an exiting and successful year!

Homework

Page 33: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 34: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 35: ***Welcome Back***   Looking forward to an exiting and successful year!

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 .

Page 36: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 37: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 38: ***Welcome Back***   Looking forward to an exiting and successful year!

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 .

Page 39: ***Welcome Back***   Looking forward to an exiting and successful year!

Day 33 Warm up

Page 40: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 41: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 42: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 43: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 44: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 45: ***Welcome Back***   Looking forward to an exiting and successful year!

Day 34 Warm Up

Page 46: ***Welcome Back***   Looking forward to an exiting and successful year!

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 .

Page 47: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 48: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 49: ***Welcome Back***   Looking forward to an exiting and successful year!

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

Page 50: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 51: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 52: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 53: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 54: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 55: ***Welcome Back***   Looking forward to an exiting and successful year!

Class Work

Page 56: ***Welcome Back***   Looking forward to an exiting and successful year!

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 !!!!

Page 60: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 78: ***Welcome Back***   Looking forward to an exiting and successful year!

Warm- up

Page 79: ***Welcome Back***   Looking forward to an exiting and successful year!

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.

Page 80: ***Welcome Back***   Looking forward to an exiting and successful year!

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.