Lines

Lines Day 2 (8/21/2012)

• Objectives: Write the equation and

sketch the graph of the a line given specific information.

Identify the relationship between parallel lines, perpendicular lines and the slope.

Assignment

Class Work • Go over the LCD Power

Point presentation.• Start working on the

homework Homework • Page 7 # 1-37 odd.

Section 1.2 Functions and Graphs

Day 3 (8/22/2012)Objectives:• Identify the domain and the

range of a function using its graph or equation.

• Recognize even and odd functions using equations and graphs.

• Find the formula of a piecewise function.

• Write and evaluate compositions of functions

• Assignment Class work • Go over the LCD Power

Point presentation.• Go over problems page

17-18 # 2, 6,8,12,14, 20, 28, 32.

Homework Page 17 # 1- 31 odd.

Section 1.2 Functions and Graphs

Day 4 (8/23/2012)

Objectives:• Identify the domain and the

range of a function using its graph or equation.

• Recognize even and odd functions using equations and graphs.

• Find the formula of a piecewise function.

• Write and evaluate compositions of functions

Assignment

• Assignment Class work • Go over the LCD Power

Point presentation.• Go over problems page 18 #

38, 40, 42, 44, 50, 52, 60.Homework Page 18-19 # 37-47 odd 49,

51, 59, .

Section 1.3 Exponential Functions

Day 5 (8/24/2012)

Objectives:• Determine the domain the

range and the graph of exponential function.

• Solve problems using exponential function.

Assignments

• Go over Exploration 1 and Example 2.

Class Work • Page 24 # 2-14 even, 28.Homework• Page 24-25 # 1-13 odd, 23-

33 odd.

Section 1.4 Logarithmic Function

Day 6 (8/28/2012)

• Objectives:• Definition of one to one

functions. • Inverses functions .• Logarithmic Function.

Properties of logarithms. Application.

Assignment

Class Work • LCD Power Point

Presentation. • Go over page 39 # 4, 6,14,

18, 34, 40*.Homework:• Page 39 # 1-43 odd and 47.

Review sections 1.1-1.5

Day 7 (8/29/2012)

• Objectives:Review sections 1.1-1.5

Assignment

• Class work Hand-out

Quiz

Day 8 (8/30/2012)

• Objectives: • Quiz on section 1.1-1.5

Assignment Homework • Read section 1.6

Section 1.6

Day 9 (8/31/2012)

• Objectives:• Review definition of sin(x),

cos(x), tan(x), cot(x),sec(x), csc(x).

• Review the graph of Trig functions.

Assignment Class Work• Go over the quiz • Review basic trigonometric

concept. Go over examples. HomeworkHand-out

Section 1.6 Trigonometric functions

Day 10 (9/4/2012)• Objectives:• Review definition of sin(x),

cos(x), tan(x), cot(x),sec(x), csc(x).

• Review the graph of Trig functions.

Assignment Class Work • Go over examples • Finish the hand out Homework • Page 49 # 11-19 odd. 25- 29

odd.

Section 1.6 Trigonometric Functions

Day 11 (9/5/2012)• Objectives:• Evaluate and graph

trigonometric functions.

AssignmentClass work • Go over the warm up and

homework questions. • Quiz.Homework • Hand- out

Section 1.6 Inverse Trigonometric functions

Day 12 (9/6/2012)Objectives:• Find, Range , Domain, and

graph of inverse trigonometric functions.

• Evaluate Inverse trigonometric functions.

Assignment Class Work • Extra time for the quiz.(10

min).• Go over examples. Homework Hand out.

Chapter 1 Review

Day 13 (9/7/2012)• Objectives:• Summarize the graphs of

basic functions. • Range, Domain, symmetry,

zeros of basic functions.

Assignment Class Work:• Hand- out due in the end of

the class. Homework :• Read section 2.1

Section 2.1 Rates of Change and Limits

Day 14 (9/10/2012)Objectives:• Average and instantaneous

rate of change.• Definition of limit.• Properties of limit. • One-sided and two-sided

limit.

Assignment Class Work • Go over the Quiz • Go over examples 1-5 page

62 # 4, 6,.Homework Page 62 # 1-15 odd.


Day 15 9/11/12Objectives:• 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.


Day 16 (9/12/2012)

Objectives:• Review:1. Definition of limit.2. Properties of limit. 3. One-sided and two-sided

limit.

Assignment Class Work • Go over Homework

questions. • Hand-out. Homework Review homework problems

and examples of section 2.1.

Chapter 2 Test

Day 17 (9/13/2012) Assignment

Section 2.2 Limits Involving Infinity

Day 18 (9/14/2012)

Objectives:1. Find limits as x→∞ . 2. Use the Sandwich

Theorem . 3. Find infinite limits as

x→a . 4. Find an End Behavior

model for a function.

Assignment Class WorkGo over the quiz Go over examples of infinite

limit.Go over investigation 1 on

page 68. Homework Page 70 # 1-11 odd, 17-27 odd.

Section 2.2 Limits

Day 19 (9/18/2012)Objectives:1. Find limits as x→∞ . 2. Use the Sandwich




Assignment Class Work 1. Go over the quiz 2. Go over the warm up.3. Go over examples of

vertical asymptotes and end behavior models.

Homework• Page 72-73 # `18-22 even,

29-37 odd, 47, 48, 49, 50*.

Section 2.2 Limits

Day 20 9/19/2012Objectives:1. Find limits as x→∞ . 2. Use the Sandwich




Assignment Class Work • Go over the warm up. • Go over # 50 page 72.• Go over examples from the

hand out. Homework • Finish the hand-out. • Hand out due on 9/20/2012

Section 2.3 Continuity

Day 21 (9/20/2012)

Objectives:• Understand continuity at a

point, open interval, and closed interval.

• Understand types of discontinuity.

Assignment Class Work 1. Go over hand out

questions.2. Go over definition of

continuous function at a point, open interval, and closed interval.

Homework Page 80 # 1-9 odd, 10, # 11-16

all.

Section 2.3 Continuity

Day 22 (9/21/ 2012)Objectives:• Understand continuity at a



Assignment Class work • Go over the homework • Go over theorem 6 page 78 • Quiz. Homework Page 81 # 17 -29 all.

Section 2.3Intermediate Value Theorem (IVT)

Day 23 (9/24/2012)

Objectives:• Understand continuity at a



Assignment Class Work 1. Go over the warm up. 2. Go over IVT theorem and

examples. 3. Hand out. Homework• Finish the hand out.

Warm up Day 23

Intermediate Value Theorem

Day 24 (9/25/2012)

• Finish the hand out of Emergency Lesson Plan.

Section 2.4 Rates of Change and Tangent Lines.

Day 25 (9/26/2012)Objectives: 1. Find the average rate of

change. 2. Find the equation of the

tangent and equation of a normal to a curve.

Assignment Class Work 1. Go over hand out questions. 2. Go over definition of the

slope of the curve. Example 1 on page 82.

3. Go over examples 4 and 5 on page 85.

Homework Page 87 # 1-5 odd, 9, 11, 13, 15.

Chapter 2 Review

Day 26 (9/28/ 2012) Objectives:• Review:• definition of Limit.

properties of limits.• infinite limit• horizontal and vertical

asymptotes.

Assignment Class Work Go over the warm up • Go over the Quiz• Go over homework

questions.

• Homework • Page 91 # 1-7 odd, 15-25 all.

27, 29, 33, 39, 41, 45.

Day 27 (10/1/2012)

• Chapter 2 Test

Section 3.1 Derivative of a Function.

Day 28 (10/2/1012)Objectives:1. Understand and use the

definitions of derivative. 2. Use proper notation.

Assignment Class Work

• Go over the definition of the Derivative.

Homework • Page 101 # 1-10 all on Quick

review, and 1-6 all on section 3.1 exercises.


Day 29 (10/3/2012)Objectives: • Understand the

relationships between the graphs of f and f’.

• Graph the derivative from DATA.

• Find one-sided Derivatives.

Assignment Class Work .Go over the warm up. Go over Example 3 and

Exploration 1 Page 98. Work on problems page 101 #

7-10 all,17, and 18. Homework Hand out.


Day 30 (10/4/ 2012)

Objectives:• Review the definition on the

derivative and relationship between the graph of f and f’.

Assignment Class Work • Go over the hand out

questions.

Homework• Page 104 # 26.

Section 3.2Differentiability

Day 31 (10/5/2012)

Objectives: Understand how f’(a) might

fail to exist. See how differentiability

implies local linearity.

Assignment Class Work Go over the hand out. • Go over examples 1-4 points

at which f’ fail to exits. Homework Page 111 # 1-10 all, 11, 13 21

and 29 .

Section 3.2 Differentiability

Day 32 10/8/2012

Objectives: Understand how f’(a) might

fail to exist. See how differentiability

implies local linearity.

Assignment Class Work • Go over the warm up

• Go over the chapter 2 Test Homework • Hand out # 9 b-d all and 10

c and d.

Day 32 Warm up

• 1

Section 3.1-3.2 Differentiation

Day 33 10/9/2012 Objectives:1. Find derivatives of

positive integer powers, multiples,, sums and differences.

2. Use product rule and quotient rule.

3. Find derivatives of negative integer powers. Find higher order derivatives.

Assignment Class work • Go over the Warm up • Go over the hand out and

homework questions. Homework Read Examples of section 3.3

Day 33 Warm up

Section 3.3 Differentiation Rules Day 33 10/10/ 2012 Objectives:1. Find derivatives of




Assignment Class work • Go over the warm up • Go over differentiation

Rules. Homework Page 120 # 1-13 odd, 17, 21

Day 34 Warm Up

Section 3.3 Differentiation Rules Day 35 10/11/2012Objectives:1. Find derivatives of




Assignment Class work Go over the warm up Go over 23 page 120.Due in the end of the class

page 120 # 2-18 even, 24, and 26.

Homework Page 120 # 25, 27, 33, 35.

Section 3.5 Derivatives of Trigonometric Functions

Day 36 10/12/2012Objectives:• Find the derivatives of


Assignment Class work • Go over the warm up • Go over homework

questions. • Go over derivatives of trig

functions examples. HomeworkPage 140 1-9 all. 11, 13, 19.

Day 36 Warm Up

Section 3.6 Chain Rule

Day 37 10/15/2012Objectives: Use the chain rule to find the

derivatives of composite functions.

Assignment Class Work • Go over the warm up. • Go over chain rule

examples. Homework Page 146 # 1-23 odd.

Section 3.6 Chain Rule

Day 38 10/16/2012

Objectives: Use the chain rule to find the

derivatives of composite functions.

Assignment Class Work • Go over the warm up. Go

over page 147 # 26, 34, 36, 56.

Homework Page 146-147 # 25-37 odd,

and 57.

Section 3.1-3.6 Review

Day 39 10/17/ 2012 Objectives:• Use definition of the

derivative to find the derivative.

• Use differentiation rules of sections 3.2-3.6

Assignment

Class Work • Hand out Homework Go over the homework

sections 3.1-3.6 and today's hand out in order to prepare for the quiz.

Section 3.1-3.6 Review Day 4o 10/18/ 2012

Objectives:• Use definition of the

derivative to find the derivative.

• Use differentiation rules of sections 3.2-3.6

Assignment

Class Work • Hand out Homework Go over the homework

sections 3.1-3.6 and today's hand out in order to prepare for the quiz.

Day 41 10/19/ 2012

Sections 3.1- 3.6 Quiz

Section 3.7 Implicit Differentiation

Day 42 10/ 19/ 2012Objectives:• Work with implicitly defined

functions. • Use implicit differentiation

to find dy/dx.• “This lesson is post pointed

for 10/23/2012 Due to PSAT testing”

Assignment Class Work• Go over the Quiz • Go over examples of implicit

differentiation. Homework Page 155 # 1-19 odd.

Review Sections 3.1-3.6

DAY 42 10/22/ 2012Objectives:• Review sections 3.1-3.6 • Practice differentiation rules

and Chain Rule.

AssignmentClass Work • Hand out

Section 3.7 Implicit Differentiation

Day 42 10/23/2012Objectives:• Work with implicitly defined


to find dy/dx.

Assignment Class Work • Go over the Warm up • Go over examples of implicit

differentiation. Homework Page 155 # 1-19 odd.

Section 3.7 Implicit Differentiation Day 43 10/24/2012Objectives:• Work with implicitly defined


to find dy/dx.

Assignment Class Work • Go over the Quiz • Go over Example 4 pg 152

and # 28, 34, 41, 46 on page 155-156.

Homework Page 155-156 # 23, 25, 27, 33,

39.

Section 3.8 Derivatives of Inverse Trig Functions.

Day 44 10/25/2012Objectives:• Find derivatives of inverse


• (Early Realise we could not start this section)

Assignment Class Work • Go over the warm up • Go over differentiation

Rules of Inverse Trig Functions.

Homework Page 162 # 1-15 odd.

Day 45 10/26/2012

• No school Teacher’s Planning Day

Section 3.8 Derivatives of Inverse Trig functions.

Day 46 10/29/2012 Objectives:• Evaluate derivatives of all

inverse trigonometric functions.

Assignment Class Work Go over the warm up. Go over examples of

derivatives of trigonometric functions. Go over 20 page 162.

Page 162 # 1-11 odd, 15, 19, 21, 22.

Day 46/47 Warm up

Section 3.9 Derivatives of Exponential and Logarithmic Functions.

Day 48 10/31/2012Objectives:• Evaluate derivatives of

exponential and logarithmic functions.

• Use chain rule for log and exponential functions.

• (Blok schedule day 49 11/1/2012 )

Assignment Class Work • Go over the warm up • Go over Examples of

derivatives of exponential and logarithmic functions.

• Work on problems• Page 170 # 1-39 odd.

Day 48/49 Warm up

Section 3.8-3.9 Review/ Quiz

Day 50 11/2/2012Objectives:• Review and test derivatives

of inverse trigonometric functions, logarithmic, and exponential functions.

• (Block Schedule Day 51 11/5/2012)

Assignment Class Work • Go over the warm up • Review . Go over questions.

Hand out.• Page 162 # 2-12 even Page

170 2-22 even , 32, 38.

Day 50/51 Warm up

Day 52 11/7/2012

Quiz Derivatives

Go over the Quiz

Day 53 11/8/2012 Objectives:• Go over differentiation

Rules. • Find the instantaneous rate

of change.

Assignment Class Work Go over the quiz Go over example 1 page 122.Homework Page 130 # 8 and 9

Section 3.4 Velocity and Other Rates of Change

Day 54 11/9/2012Objectives:• 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, 5,9,11 .


Day 55 11/13/2012 Objectives:• Find the instantaneous rate




Assignment Class Work • Free Response make up.• Go over the homework

questions. Homework Page 130 # 12, 13, 15.


Day 55 11/14/2012

Objectives:• Find the instantaneous rate




AssignmentClass Work • Go over the warm up. • Position, velocity,

acceleration, and their relationship.

• Go over page 130 # 10, 16*.Homework• Page 130-132 # 21,23, 25,

27, 31,28.

Chapter 3 Review

Day 56 11/15/2012Objectives:1. Review all differentiation

rules. 2. Review applications of

derivatives in Economy and physics.

Assignment Class Work /Homework Page 172 # 3, 5, 9, 11-23 odd,

31, 35, 39, 45,47, 57 , 58*, 59, 61*.

Chapter 3 Review

Day 57 11/16/2012Objectives:1. Review all differentiation


derivatives in economy and physics.

Assignment Class Work Page 172 # 2-20 even, 38, 46,

67. Due in the end of the class

Chapter 3 Review

Day 58 11/19/2012

Objectives:1. Review all differentiation


derivatives in economy and physics.

Assignment Class Work • Go over the warm up • Go over homework

questions. Homework • Review all differentiation

rules.

Review 11/19/2012

Day 59 11/20/2012

Chapter 4 Test

Section 4.1 Extreme Value theorem

Day 60 11/21/2012Objectives:• Definition of absolute and

local minimum and maximum values.

• Extreme values and the first derivative.

Assignment Class Work • Go over the test • Go over power point

presentation . Homework • Page 184 # 1-13.


Day 61 11/26/2012Objectives:• Definition of absolute and



Assignment Class Work • Go over the warm up • Go over homework

questions.• Go over # 37,42, 46 Homework • Page 184 # 15, 17, 41, 45-

48.

Warm up


Day 62 11/27/2012

Objectives:• Definition of absolute and



Assignment

Class Work • Go over the warm up • Go over homework

questions.• Hand-out Homework • Finish the hand out.

Section 4.2 Mean Value Theorem Day 63 11/28/2012Objectives:• Apply the Mean Value

Theorem.

• Apply derivatives to increasing and decreasing functions.

Assignment Class Work • Go over the warm up.• Go over examples. Homework:Page 192 # 1-17 odd.

Section 4.2 Mean Value Theorem

Day 64 11/29/2012Objectives:• Apply the Mean Value

Theorem.


Assignment Class Work • Go over the Warm up

Page 192 # 21,22,23, 24, 35 a, 36 , 37, 39,40, 41,42.

Section 4.2 Mean Value Theorem

Day 65 11/30/2012Objectives:• Apply the Mean Value

Theorem.


Assignment Class Work • Go over homework

questions. Hand out

Section 4.3 Connecting f’ and f’’ with the graph of f.

Day 66 12/3/2012Objectives:• Find extreme point of

functions. • Understand the

relationship between the concavity of f and the sign of f’’.

• Understand points of inflection as places where the concavity changes.

Assignment Class Work:• Go over the warm up.• Go over the Theorems and

examples on section 4.3. Homework: Page 203-204, 1-6 all, 7,9,11.


Day 67 11/4/2012

Objectives:• Find points of inflection of




Assignment Class Work • Go over the warm up. • Go over homework

questions. • Go over examples # 5, 8,

page 204 # 10.Homework • Page 204 # 13, 15, 19, 29,

31.


Day 68 12/5/2012Objectives:• Find points of inflection of




Assignment Class Work • Go over the warm up. • Go over pg 205 # 34. Homework • Page 204 # 33, 35, 37, 41,

47.

Day 69 12/5/2012

Quiz Sections 4.1-4.3

Section 4.1-4.3 Connecting f’ and f’’ with the graph of f.

Day 70 12/7/2012Objectives:• Review• Local and absolute

extreme. • Find points of inflections. • Relationship between the

graph of f, f’ and f”.

Assignment Class Work • Go over the quiz Homework• Read Examples 1-4 page

206-207.

Section 4.4 Modeling and Optimization

Day 71 12/10/2012Objectives:Use derivatives to solve

problems from Business, industry, and differential mathematics.

AssignmentClass Work • Go over the warm up • Go over examples page 206-

207 # 1and 2. Homework Page 214 # 1, 3, 7, 9,




Assignment Class Work Go over the warm up.Go over examples # 4, 5. HomeworkPage 214-215 # 11,15,17, 19.




Assignment Class Work Page 214-215.2, 4, 6, 10, 16.

Day 73 Answers

2) The largest area is 25/44) Maximum at x= 2. The rectangle with the

larges area is square. 6) Largest are = 32; dimensions 4 and 8. 10) Dimensions 12 m by 18 m. 16) Radius = Height = 6.83 cm.

Day 74 12/13/2012

Section 4.4 Quiz

Section 4.5 Linearization and Newton’s Method

Day 75 12/14/2012Objectives:• Use the tangent line to

approximate the function.• Use differentials to estimate

the change. • Find the absolute, the

relative, and the percent change.

Assignment Class Work • Go over the warm up. • Go over examples. Homework:Page 229 # 3, 5, 7, 11, 13, 19,

21.

Section 4.5 Linearization and Newton’s Method

Day 76 12/17/2012

Objectives:• Use the tangent line to

approximate the function.• Use differentials to estimate

the change. • Find the absolute, the

relative, and the percent change.

Assignment Class Work • Go over the warm up• Go over examples page 226

# 8,9,11,12.Homework Page 230 # 27, 31, 39, 41, 43.

Day 76 Warm up

Section 4.6 Related Rates

Day 77 12/18/2012Objectives:• Learn solution strategies for

related rate problems. • Simulate related motions.

Assignment Class Work • Go over the warm up. • Go over example # 2 page

237 # 8, 10. Homework Page 238 # 11 and 13.

Section 4.6 Related Rates

Day 78 12/19/2012Objectives:• Learn solution strategies for


Assignment Class Work Go over the warm up. Go over the example # 4.Homework Page 238 # 17, 22, 33,35.

Day 79 12/20/2012

Quiz sections 4.5-4.6

Section 4.5-4.6 Review

Day 80 12/21/2012Objectives:Review chapters 1-4 Start working on winter

package.

Assignment Class Work Go over the quiz. Start working on winter

package.

Review Chapters 1-4

Day 81 1/7/2013Objectives:• Review chapters 1-4

Assignment Class WorkGo over questions of the

winter package. Finish the winter package.

Review Chapter 4


approximate the function.• Learn solution strategies for


Assignment Class Work Page 242 # 3, 5, 13, 17, 27, 29,

31, 33, 39, 47, 53.

Review Chapter 4


approximate the function.• Learn solution strategies for


Assignment Class Work • Go over free response

examples • Go over the Section 4.4-4.5

Quiz.

Day 84 1/10/2013

Chapter 4 Test

Class Work 1/11/2013

Section 5.1 Estimating With Sums

Day 86 1/14/2013 Objectives: • Use the total distance

traveled to introduce rectangular approximation method.

• Use LRAM, MRAM, and RRAM method to approximate the area under the curve.

Assignments Class WorkGo over the chapter 4 Test. • Go over Examples of LRAM,

MRAM, and RRAM. • Class work • Page 254 # 3 only for n=10.

and 11.

Section 5.2 Antiderivatives

Day 88 1/16/2013 Objectives:Write the general solution of e

differential equation. Use the indefinite integral

notation for Antiderivatives.Find the particular solution of

a differential equation.

Assignment Class Work Go over the warm up. Go over examples.Class Work Hand out Page 255 # 1-39

ODD.


Day 89 1/17/2013 Objectives:Write the general solution of e


notation for untiderivatives.Find the particular solution of

a differential equation.

Assignment Class Work • Finish the hand out.


Day 90 1/22/2013Objectives:Write the general solution of e


notation for Antiderivatives.Find the particular solution of

a differential equation. Block schedules.

Assignment Class Work Go over examples of

Antiderivatives. • Hand- out # 1-39 odd.

Untiderivatives AP-Practice

Day 91 1/23/2013Objectives:• Practice AP-questions using

the untiderivatives. Block schedules.

Assignment Class Work • Go over the warm up • Go over hand out questions • Finish the hand-out.


Day 92 1/24/2013 Objectives:• Practice AP-questions using

the untiderivatives. Block schedules



Day 93 1/25/2013Objectives:• Practice AP-questions using

the untiderivatives free response.


Section 5.2 Definite Integrals

Day 94 1/28/2013 Objectives:Definition of Riemann Sums.Use the technology to evaluate

the definite integral.Use the definite integral to find

the area under the curve.

AssignmentClass Work • Go over the warm up• Go over the concept of

Riemann Sum and the definite integral.

• Homework • Page 267 # 1-21 odd, 23.

Section 5.3 Integrantsand Antiderivatives.

Day 95 1/29/2013 Objectives:Learn properties of definite

integrals.Go over the Average Value

Theorem and Mean Value Theorem for Integrals.

Use the properties and above theorems to solve problems.

Assignment Class 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.

Review Sections 5.1-5.3

Day 100 1/30/2013 Objectives:• Review RAM.• Antiderivatives.• Riemann Sum• Properties of definite

integral. • Area under the curve. • Average Value Theorem and

Mean Value Theorem for Integrals.

AssignmentClass Work • Hand out

Sections 5.1-5.3 Quiz

Day 101 1/31/2013Objectives:• Test the following concepts• Review RAM.• Antiderivatives.• Riemann Sum• Properties of definite integral. • Area under the curve. • Average Value Theorem and

Mean Value Theorem for Integrals.

AssignmentClass Work • Quiz

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