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## Lines

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**Lines**Day 2 (8/21/2012) Assignment Class Work Go over the LCD Power Point presentation. Start working on the homework Homework Page 7 # 1-37 odd. • 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.**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) 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, . 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**Section 1.3 Exponential Functions**Day 5 (8/24/2012) 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. Objectives: • Determine the domain the range and the graph of exponential function. • Solve problems using exponential function.**Section 1.4 Logarithmic Function**Day 6 (8/28/2012) 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. • Objectives: • Definition of one to one functions. • Inverses functions . • Logarithmic Function. Properties of logarithms. Application.**Review sections 1.1-1.5**Day 7 (8/29/2012) Assignment Class work Hand-out • Objectives: Review sections 1.1-1.5**Quiz**Day 8 (8/30/2012) Assignment Homework Read section 1.6 • Objectives: • Quiz on section 1.1-1.5**Section 1.6**Day 9 (8/31/2012) Assignment Class Work Go over the quiz Review basic trigonometric concept. Go over examples. Homework Hand-out • Objectives: • Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). • Review the graph of Trig functions.**Section 1.6 Trigonometric functions**Day 10 (9/4/2012) Assignment Class Work Go over examples Finish the hand out Homework Page 49 # 11-19 odd. 25- 29 odd. • Objectives: • Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). • Review the graph of Trig functions.**Section 1.6 Trigonometric Functions**Day 11 (9/5/2012) Assignment Class work Go over the warm up and homework questions. Quiz. Homework Hand- out • Objectives: • Evaluate and graph trigonometric functions.**Section 1.6 Inverse Trigonometric functions**Day 12 (9/6/2012) Assignment Class Work Extra time for the quiz.(10 min). Go over examples. Homework Hand out. Objectives: • Find, Range , Domain, and graph of inverse trigonometric functions. • Evaluate Inverse trigonometric functions.**Chapter 1 Review**Day 13 (9/7/2012) Assignment Class Work: Hand- out due in the end of the class. Homework : Read section 2.1 • Objectives: • Summarize the graphs of basic functions. • Range, Domain, symmetry, zeros of basic functions.**Section 2.1 Rates of Change and Limits**Day 14 (9/10/2012) Assignment Class Work Go over the Quiz Go over examples 1-5 page 62 # 4, 6,. Homework Page 62 # 1-15 odd. Objectives: • Average and instantaneous rate of change. • Definition of limit. • Properties of limit. • One-sided and two-sided limit.**Section 2.1 Rates of Change and Limits**Day 15 9/11/12 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. Objectives: • Average and instantaneous rate of change. • Definition of limit. • Properties of limit. • One-sided and two-sided limit.**Section 2.1 Rates of Change and Limits**Day 16 (9/12/2012) Assignment Class Work Go over Homework questions. Hand-out. Homework Review homework problems and examples of section 2.1. Objectives: • Review: • Definition of limit. • Properties of limit. • One-sided and two-sided limit.**Chapter 2 Test**Day 17 (9/13/2012) Assignment**Section 2.2 Limits Involving Infinity**Day 18 (9/14/2012) Assignment Class Work Go over the quiz Go over examples of infinite limit. Go over investigation 1 on page 68. Homework Page 70 # 1-11 odd, 17-27 odd. Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function.**Section 2.2 Limits**Day 19 (9/18/2012) Assignment Class Work Go over the quiz Go over the warm up. Go over examples of vertical asymptotes and end behavior models. Homework Page 72-73 # `18-22 even, 29-37 odd, 47, 48, 49, 50*. Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function.**Section 2.2 Limits**Day 20 9/19/2012 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 Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function.**Section 2.3 Continuity**Day 21 (9/20/2012) Assignment Class Work Go over hand out questions. Go over definition of continuous function at a point, open interval, and closed interval. Homework Page 80 # 1-9 odd, 10, # 11-16 all. Objectives: • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.**Section 2.3 Continuity**Day 22 (9/21/ 2012) Assignment Class work Go over the homework Go over theorem 6 page 78 Quiz. Homework Page 81 # 17 -29 all. Objectives: • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.**Section 2.3Intermediate Value Theorem (IVT)**Day 23 (9/24/2012) Assignment Class Work Go over the warm up. Go over IVT theorem and examples. Hand out. Homework Finish the hand out. Objectives: • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.**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) Assignment Class Work Go over hand out questions. Go over definition of the slope of the curve. Example 1 on page 82. Go over examples 4 and 5 on page 85. Homework Page 87 # 1-5 odd, 9, 11, 13, 15. Objectives: • Find the average rate of change. • Find the equation of the tangent and equation of a normal to a curve.**Chapter 2 Review**Day 26 (9/28/ 2012) 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. Objectives: • Review: • definition of Limit. properties of limits. • infinite limit • horizontal and vertical asymptotes.**Day 27 (10/1/2012)**• Chapter 2 Test**Section 3.1 Derivative of a Function.**Day 28 (10/2/1012) 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. Objectives: • Understand and use the definitions of derivative. • Use proper notation.**Section 3.1 Derivative of a Function.**Day 29 (10/3/2012) 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. Objectives: • Understand the relationships between the graphs of f and f’. • Graph the derivative from DATA. • Find one-sided Derivatives.**Section 3.1 Derivative of a Function.**Day 30 (10/4/ 2012) Assignment Class Work Go over the hand out questions. Homework Page 104 # 26. Objectives: • Review the definition on the derivative and relationship between the graph of f and f’.**Section 3.2Differentiability**Day 31 (10/5/2012) 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 . Objectives: Understand how f’(a) might fail to exist. See how differentiability implies local linearity.**Section 3.2 Differentiability**Day 32 10/8/2012 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. Objectives: Understand how f’(a) might fail to exist. See how differentiability implies local linearity.**Day 32 Warm up**• 1**Section 3.1-3.2 Differentiation**Day 33 10/9/2012 Assignment Class work Go over the Warm up Go over the hand out and homework questions. Homework Read Examples of section 3.3 Objectives: • Find derivatives of positive integer powers, multiples,, sums and differences. • Use product rule and quotient rule. • Find derivatives of negative integer powers. Find higher order derivatives.**Section 3.3 Differentiation Rules**Day 33 10/10/ 2012 Assignment Class work Go over the warm up Go over differentiation Rules. Homework Page 120 # 1-13 odd, 17, 21 Objectives: • Find derivatives of positive integer powers, multiples,, sums and differences. • Use product rule and quotient rule. • Find derivatives of negative integer powers. Find higher order derivatives.**Section 3.3 Differentiation Rules**Day 35 10/11/2012 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. Objectives: • Find derivatives of positive integer powers, multiples,, sums and differences. • Use product rule and quotient rule. • Find derivatives of negative integer powers. Find higher order derivatives.**Section 3.5 Derivatives of**Trigonometric Functions Day 36 10/12/2012 Assignment Class work Go over the warm up Go over homework questions. Go over derivatives of trig functions examples. Homework Page 140 1-9 all. 11, 13, 19. Objectives: • Find the derivatives of trigonometric functions.**Section 3.6 Chain Rule**Day 37 10/15/2012 Assignment Class Work Go over the warm up. Go over chain rule examples. Homework Page 146 # 1-23 odd. Objectives: Use the chain rule to find the derivatives of composite functions.**Section 3.6 Chain Rule**Day 38 10/16/2012 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. Objectives: Use the chain rule to find the derivatives of composite functions.**Section 3.1-3.6 Review**Day 39 10/17/ 2012 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. Objectives: • Use definition of the derivative to find the derivative. • Use differentiation rules of sections 3.2-3.6**Section 3.1-3.6 Review**Day 4o 10/18/ 2012 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. Objectives: • Use definition of the derivative to find the derivative. • Use differentiation rules of sections 3.2-3.6**Day 41 10/19/ 2012**Sections 3.1- 3.6 Quiz**Section 3.7 Implicit Differentiation**Day 42 10/ 19/ 2012 Assignment Class Work Go over the Quiz Go over examples of implicit differentiation. Homework Page 155 # 1-19 odd. Objectives: • Work with implicitly defined functions. • Use implicit differentiation to find dy/dx. • “This lesson is post pointed for 10/23/2012 Due to PSAT testing”**Review Sections 3.1-3.6**DAY 42 10/22/ 2012 Assignment Class Work Hand out Objectives: • Review sections 3.1-3.6 • Practice differentiation rules and Chain Rule.**Section 3.7 Implicit Differentiation**Day 42 10/23/2012 Assignment Class Work Go over the Warm up Go over examples of implicit differentiation. Homework Page 155 # 1-19 odd. Objectives: • Work with implicitly defined functions. • Use implicit differentiation to find dy/dx.**Section 3.7 Implicit Differentiation**Day 43 10/24/2012 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. Objectives: • Work with implicitly defined functions. • Use implicit differentiation to find dy/dx.