Lines Day (8/21/2012) Assignment Objectives:

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Presentation transcript:

Lines Day 2 (8/21/2012) Assignment 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. 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) Assignment 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 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) Assignments Objectives: Determine the domain the range and the graph of exponential function. Solve problems using exponential function. 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 Assignment Day 6 (8/28/2012) Objectives: Definition of one to one functions. Inverses functions . Logarithmic Function. Properties of logarithms. Application. 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) Assignment Objectives: Class work Hand-out

Quiz Assignment Objectives: Quiz on section 1.1-1.5 Homework Day 8 (8/30/2012) Assignment Objectives: Quiz on section 1.1-1.5 Homework Read section 1.6

Section 1.6 Assignment Objectives: Day 9 (8/31/2012) Assignment Objectives: Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). Review the graph of Trig functions. Class Work Go over the quiz Review basic trigonometric concept. Go over examples. Homework Hand-out

Section 1.6 Trigonometric functions Day 10 (9/4/2012) Assignment Objectives: Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). Review the graph of Trig functions. 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) Assignment Objectives: Evaluate and graph trigonometric functions. Class work Go over the warm up and homework questions. Quiz. Homework Hand- out

Section 1.6 Inverse Trigonometric functions Day 12 (9/6/2012) Assignment Objectives: Find, Range , Domain, and graph of inverse trigonometric functions. Evaluate Inverse trigonometric functions. Class Work Extra time for the quiz.(10 min). Go over examples. Homework Hand out.

Chapter 1 Review Day 13 (9/7/2012) Assignment Objectives: Summarize the graphs of basic functions. Range, Domain, symmetry, zeros of basic functions. 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) Assignment Objectives: Average and instantaneous rate of change. Definition of limit. Properties of limit. One-sided and two-sided limit. Class Work Go over the Quiz Go over examples 1-5 page 62 # 4, 6,. Homework Page 62 # 1-15 odd.

Section 2.1 Rates of Change and Limits Day 15 9/11/12 Assignment Objectives: Average and instantaneous rate of change. Definition of limit. Properties of limit. One-sided and two-sided limit. Class Work Go over homework questions. Go over Theorems 1-4 examples. Homework Page 63-64 # 17-31 odd, 43, 45, 49, 53, 57.

Section 2.1 Rates of Change and Limits Day 16 (9/12/2012) Assignment Objectives: Review: Definition of limit. Properties of limit. One-sided and two-sided limit. 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) Assignment Objectives: Find limits as x→∞ . Use the Sandwich Theorem . Find infinite limits as x→a . Find an End Behavior model for a function. Class Work Go over the quiz Go over examples of infinite limit. Go over investigation 1 on page 68. Homework Page 70 # 1-11 odd, 17-27 odd.

Section 2.2 Limits Day 19 (9/18/2012) Assignment Objectives: Find limits as x→∞ . Use the Sandwich Theorem . Find infinite limits as x→a . Find an End Behavior model for a function. 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*.

Section 2.2 Limits Day 20 9/19/2012 Assignment Objectives: Find limits as x→∞ . Use the Sandwich Theorem . Find infinite limits as x→a . Find an End Behavior model for a function. 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 Assignment Objectives: Day 21 (9/20/2012) Assignment Objectives: Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity. 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.

Section 2.3 Continuity Day 22 (9/21/ 2012) Assignment Objectives: Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity. 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) Assignment Objectives: Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity. Class Work Go over the warm up. Go over IVT theorem and examples. 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) Assignment Objectives: Find the average rate of change. Find the equation of the tangent and equation of a normal to a curve. 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.

Chapter 2 Review Day 26 (9/28/ 2012) Assignment Objectives: Review: definition of Limit. properties of limits. infinite limit horizontal and vertical asymptotes. 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) Assignment Objectives: Understand and use the definitions of derivative. Use proper notation. Class Work Go over the definition of the Derivative. Homework Page 101 # 1-10 all on Quick review, and 1-6 all on section 3.1 exercises.

Section 3.1 Derivative of a Function. Day 29 (10/3/2012) Assignment Objectives: Understand the relationships between the graphs of f and f’. Graph the derivative from DATA. Find one-sided Derivatives. Class Work . Go over the warm up. Go over Example 3 and Exploration 1 Page 98. Work on problems page 101 # 7-10 all,17, and 18. Homework Hand out.

Section 3.1 Derivative of a Function. Day 30 (10/4/ 2012) Assignment Objectives: Review the definition on the derivative and relationship between the graph of f and f’. Class Work Go over the hand out questions. Homework Page 104 # 26.

Section 3.2Differentiability Day 31 (10/5/2012) Assignment Objectives: Understand how f’(a) might fail to exist. See how differentiability implies local linearity. 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 Assignment Objectives: Understand how f’(a) might fail to exist. See how differentiability implies local linearity. 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 Assignment 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. 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 Assignment 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. Class work Go over the warm up Go over differentiation Rules. Homework Page 120 # 1-13 odd, 17, 21

Day 34 Warm Up

Section 3.3 Differentiation Rules Day 35 10/11/2012 Assignment 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. Class work Go over the warm up Go over 23 page 120. Due in the end of the class page 120 # 2-18 even, 24, and 26. Homework Page 120 # 25, 27, 33, 35.

Section 3.5 Derivatives of Trigonometric Functions Day 36 10/12/2012 Assignment Objectives: Find the derivatives of trigonometric functions. Class work Go over the warm up Go over homework questions. Go over derivatives of trig functions examples. Homework Page 140 1-9 all. 11, 13, 19.

Day 36 Warm Up

Section 3.6 Chain Rule Day 37 10/15/2012 Assignment Objectives: Use the chain rule to find the derivatives of composite functions. 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 Assignment Objectives: Use the chain rule to find the derivatives of composite functions. 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 Assignment Objectives: Use definition of the derivative to find the derivative. Use differentiation rules of sections 3.2-3.6 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 Assignment Objectives: Use definition of the derivative to find the derivative. Use differentiation rules of sections 3.2-3.6 Class Work Hand out Homework Go over the homework sections 3.1-3.6 and today's hand out in order to prepare for the quiz.

Day 41 10/19/ 2012 Sections 3.1- 3.6 Quiz

Section 3.7 Implicit Differentiation Day 42 10/ 19/ 2012 Assignment 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” 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/ 2012 Assignment Objectives: Practice differentiation rules and Chain Rule. Class Work Hand out

Section 3.7 Implicit Differentiation Day 42 10/23/2012 Assignment Objectives: Work with implicitly defined functions. Use implicit differentiation to find dy/dx. Class Work Go over the Warm up Go over examples of implicit differentiation. Homework Page 155 # 1-19 odd.

Section 3.7 Implicit Differentiation Day 43 10/24/2012 Assignment Objectives: Work with implicitly defined functions. Use implicit differentiation to find dy/dx. Class Work Go over the Quiz Go over Example 4 pg 152 and # 28, 34, 41, 46 on page 155-156. Homework Page 155-156 # 23, 25, 27, 33, 39.

Section 3.8 Derivatives of Inverse Trig Functions. Day 44 10/25/2012 Assignment Objectives: Find derivatives of inverse trigonometric functions. (Early Realise we could not start this section) 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 Assignment Objectives: Evaluate derivatives of all inverse trigonometric functions. Class Work Go over the warm up. Go over examples of derivatives of trigonometric functions. Go over 20 page 162. Page 162 # 1-11 odd, 15, 19, 21, 22.

Day 46/47 Warm up

Section 3.9 Derivatives of Exponential and Logarithmic Functions. Day 48 10/31/2012 Assignment Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. (Blok schedule day 49 11/1/2012 ) 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 11/2/2012 Assignment Objectives: Review and test derivatives of inverse trigonometric functions, logarithmic, and exponential functions. (Block Schedule Day 51 11/5/2012) 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 Assignment Objectives: Go over differentiation Rules. Find the instantaneous rate of change. Class Work Go over the quiz Go over example 1 page 122. Homework Page 130 # 8 and 9

Section 3.4 Velocity and Other Rates of Change Day 54 11/9/2012 Assignment Objectives: Find the instantaneous rate of change. Find motion along a line. Find the sensitivity to change. Use derivatives in economics. Class Work Go over the warm up. Go over example 1 and exploration 1 page 123. Position, velocity, acceleration, and their relationship. Go over # 2 on page 129. Homework Page 129 # 1,3, 5,9,11 .

Section 3.4 Velocity and Other Rates of Change Day 55 11/13/2012 Assignment Objectives: Find the instantaneous rate of change. Find motion along a line. Find the sensitivity to change. Use derivatives in economics. Class Work Free Response make up. Go over the homework questions. Homework Page 130 # 12, 13, 15.

Section 3.4 Velocity and Other Rates of Change Day 55 11/14/2012 Assignment Objectives: Find the instantaneous rate of change. Find motion along a line. Find the sensitivity to change. Use derivatives in economics. Class Work Go over the warm up. Position, velocity, acceleration, and their relationship. Go over page 130 # 10, 16*. Homework Page 130-132 # 21,23, 25, 27, 31,28.

Chapter 3 Review Day 56 11/15/2012 Assignment Objectives: Review all differentiation rules. Review applications of derivatives in Economy and physics. Class Work /Homework Page 172 # 3, 5, 9, 11-23 odd, 31, 35, 39, 45,47, 57 , 58*, 59, 61*.

Chapter 3 Review Day 57 11/16/2012 Assignment Objectives: Review all differentiation rules. Review applications of derivatives in economy and physics. Class Work Page 172 # 2-20 even, 38, 46, 67. Due in the end of the class

Chapter 3 Review Assignment Objectives: Day 58 11/19/2012 Assignment Objectives: Review all differentiation rules. Review applications of derivatives in economy and physics. Class Work Go over the warm up Go over homework questions. Homework Review all differentiation rules.

Review 11/19/2012

Day 59 11/20/2012 Chapter 4 Test

Section 4.1 Extreme Value theorem Day 60 11/21/2012 Assignment Objectives: Definition of absolute and local minimum and maximum values. Extreme values and the first derivative. Class Work Go over the test Go over power point presentation . Homework Page 184 # 1-13.

Section 4.1 Extreme Value theorem Day 61 11/26/2012 Assignment Objectives: Definition of absolute and local minimum and maximum values. Extreme values and the first derivative. 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

Section 4.1 Extreme Value theorem Day 62 11/27/2012 Assignment Objectives: Definition of absolute and local minimum and maximum values. Extreme values and the first derivative. Class Work Go over the warm up Go over homework questions. Hand-out Homework Finish the hand out.

Section 4.2 Mean Value Theorem Day 63 11/28/2012 Assignment Objectives: Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. Class Work Go over the warm up. Go over examples. Homework: Page 192 # 1-17 odd.

Section 4.2 Mean Value Theorem Day 64 11/29/2012 Assignment Objectives: Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. Class Work Go over the Warm up Page 192 # 21,22,23, 24, 35 a, 36 , 37, 39,40, 41,42.

Section 4.2 Mean Value Theorem Day 65 11/30/2012 Assignment Objectives: Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. Class Work Go over homework questions. Hand out

Section 4.3 Connecting f’ and f’’ with the graph of f. Day 66 12/3/2012 Assignment Objectives: Find extreme point of functions. Understand the relationship between the concavity of f and the sign of f’’. Understand points of inflection as places where the concavity changes. Class Work: Go over the warm up. Go over the Theorems and examples on section 4.3. Homework: Page 203-204, 1-6 all, 7,9,11.

Section 4.3 Connecting f’ and f’’ with the graph of f. Day 67 11/4/2012 Assignment Objectives: Find points of inflection of functions. Understand the relationship between the concavity of f and the sign of f’’. Understand points of inflection as places where the concavity changes. Class Work Go over the warm up. Go over homework questions. Go over examples # 5, 8, page 204 # 10. Homework Page 204 # 13, 15, 19, 29, 31.

Section 4.3 Connecting f’ and f’’ with the graph of f. Day 68 12/5/2012 Assignment Objectives: Find points of inflection of functions. Understand the relationship between the concavity of f and the sign of f’’. Understand points of inflection as places where the concavity changes. Class Work Go over the warm up. Go over pg 205 # 34. Homework Page 204 # 33, 35, 37, 41, 47.

Day 69 12/5/2012 Quiz Sections 4.1-4.3

Section 4.1-4.3 Connecting f’ and f’’ with the graph of f. Day 70 12/7/2012 Assignment Objectives: Review Local and absolute extreme. Find points of inflections. Relationship between the graph of f, f’ and f”. Class Work Go over the quiz Homework Read Examples 1-4 page 206-207.

Section 4.4 Modeling and Optimization Day 71 12/10/2012 Assignment Objectives: Use derivatives to solve problems from Business, industry, and differential mathematics. Class Work Go over the warm up Go over examples page 206-207 # 1and 2. Homework Page 214 # 1, 3, 7, 9,

Section 4.4 Modeling and Optimization Day 72 12/11/2012 Assignment Objectives: Use derivatives to solve problems from Business, industry, and differential mathematics. Class Work Go over the warm up. Go over examples # 4, 5. Homework Page 214-215 # 11,15,17, 19.

Section 4.4 Modeling and Optimization Day 73 12/12/2012 Assignment Objectives: Use derivatives to solve problems from Business, industry, and differential mathematics. Class Work Page 214-215. 2, 4, 6, 10, 16.

Day 73 Answers 2) The largest area is 25/4 4) Maximum at x= 2. The rectangle with the larges area is square. 6) Largest are = 32; dimensions 4 and 8. 10) Dimensions 12 m by 18 m. 16) Radius = Height = 6.83 cm.

Day 74 12/13/2012 Section 4.4 Quiz

Section 4.5 Linearization and Newton’s Method Day 75 12/14/2012 Assignment Objectives: Use the tangent line to approximate the function. Use differentials to estimate the change. Find the absolute, the relative, and the percent change. 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 Assignment Objectives: Use the tangent line to approximate the function. Use differentials to estimate the change. Find the absolute, the relative, and the percent change. 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 12/18/2012 Assignment Objectives: Learn solution strategies for related rate problems. Simulate related motions. 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 12/19/2012 Assignment Objectives: Learn solution strategies for related rate problems. Simulate related motions. 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 12/21/2012 Assignment Objectives: Review chapters 1-4 Start working on winter package. Class Work Go over the quiz. Start working on winter package.

Review Chapters 1-4 Day 81 1/7/2013 Assignment Objectives: Class Work Go over questions of the winter package. Finish the winter package.

Review Chapter 4 Day 82 1/8/2013 Assignment Objectives: Use the tangent line to approximate the function. Learn solution strategies for related rate problems. Simulate related motions. Class Work Page 242 # 3, 5, 13, 17, 27, 29, 31, 33, 39, 47, 53.

Review Chapter 4 Day 83 1/9/2013 Assignment Objectives: Use the tangent line to approximate the function. Learn solution strategies for related rate problems. Simulate related motions. 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 Assignments Objectives: Use the total distance traveled to introduce rectangular approximation method. Use LRAM, MRAM, and RRAM method to approximate the area under the curve. Class Work Go over the chapter 4 Test. Go over Examples of LRAM, MRAM, and RRAM. Class work Page 254 # 3 only for n=10. and 11.

Section 5.2 Antiderivatives Day 88 1/16/2013 Assignment Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Class Work Go over the warm up. Go over examples. Hand out Page 255 # 1-39 ODD.

Section 5.2 Antiderivatives Day 89 1/17/2013 Assignment Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for untiderivatives. Find the particular solution of a differential equation. Class Work Finish the hand out.

Section 5.2 Antiderivatives Day 90 1/22/2013 Assignment Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Block schedules. Class Work Go over examples of Antiderivatives. Hand- out # 1-39 odd.

Untiderivatives AP-Practice Day 91 1/23/2013 Assignment Objectives: Practice AP-questions using the untiderivatives. Block schedules. Class Work Go over the warm up Go over hand out questions Finish the hand-out.

Untiderivatives AP-Practice Day 92 1/24/2013 Assignment Objectives: Practice AP-questions using the untiderivatives. Block schedules Class Work Go over the warm up Go over hand out questions Finish the hand-out.

Untiderivatives AP-Practice Day 93 1/25/2013 Assignment Objectives: Practice AP-questions using the untiderivatives free response. Class Work Go over the warm up Go over hand out questions Finish the hand-out.

Section 5.2 Definite Integrals Day 94 1/28/2013 Assignment Objectives: Definition of Riemann Sums. Use the technology to evaluate the definite integral. Use the definite integral to find the area under the curve. Class Work Go over the warm up Go over the concept of Riemann Sum and the definite integral. Homework Page 267 # 1-21 odd, 23.

Section 5.3 Integrals Antiderivatives. Day 95 1/29/2013 Assignment 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. Class Work Go over properties of definite integral. Go over Average Value Theorem and Mean Value Theorem for Integrals. Homework Page 274 #1, 3, 5, use the graphing calculator for 17*, and 19. 25.

Review Sections 5.1-5.3 Day 100 1/30/2013 Assignment Objectives: Review RAM. Antiderivatives. Riemann Sum Properties of definite integral. Area under the curve. Average Value Theorem and Mean Value Theorem for Integrals. Class Work Hand out

Sections 5.1-5.3 Quiz Day 101 1/31/2013 Assignment Class Work Quiz Objectives: Test the following concepts Review RAM. Antiderivatives. Riemann Sum Properties of definite integral. Area under the curve. Average Value Theorem and Mean Value Theorem for Integrals. Class Work Quiz

1/2/2013 Teachers Planning Day

Section 5.1-5.3 Practice Day 103 2/4/2013 Assignment Objectives: Area under the curve. Average Value Theorem and Mean Value Theorem for Integrals. Class Work Quiz make up Page 274 # 2, 4, 6, 8, 10, 18,19, 20, 26, 30.

Section 5.4 Fundamental Theorem of Calculus. Day 104 2/5/2013 Assignment Objectives: Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Class Work Go over fundamental theorem of calculus part 1 and 2 and examples. Homework Page 286 # 1-11 odd, 25, 27 (no graphing calculator).31, 33.

Section 5.4 Fundamental Theorem of Calculus. Day 105 1/6/2013 Assignment Objectives: Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Class Work Go over fundamental theorem of calculus part 1 and 2 and examples. Homework Page 290 # 37-45 odd. 53, 55.

Section 5.4 Fundamental Theorem of Calculus. Day 106 2/7/2013 Assignment Objectives: Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Class Work Page 286 # 8, 12, 26, 38, 40, 42, 44, 54. Due in the end of the class

Section 5.5 Trapezoidal Rule Day 107 2/8/2013 Assignment Objectives: Use the Trapezoidal Rule to find the Area. Class Work Go over the warm up Go over Trapezoidal Rule and examples. Homework Page 295 # 1,5, and 9.

Section 5.5 Trapezoidal Rule Day 108 2/11/2013 Assignment Objectives: Use the Trapezoidal Rule to find the Area. Class Work Go over the warm up Go over Trapezoidal Rule and examples. Homework Page 295 # 1,5, and 9.

Chapter 5 Review Assignment Class Work Day 109 2/12/2013 Assignment Objectives: Area under the curve. Average Value Theorem and Mean Value Theorem for Integrals. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Class Work Page 298 # 12 a) and b), 21, 32, 34, 44. Homework Page 298 # 9, 12 c-e, 17, 23, 31, 33, 38, 39, 41.

Chapter 5 Review Day 110 2/13/2013 Assignment Class Work Objectives: Area under the curve. Average Value Theorem and Mean Value Theorem for Integrals. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Class Work Page 299 # 46 and 54 Homework Page 298 # 1-7 all.

Chapter 5 Review Day 111 2/14/2013 Assignment Objectives: Practice AP-exam free response questions from chapter 5 concepts. Early Release Day Class Work Go over AP-exam Free Response of 2012 # 3 and 2011, 2007.

Chapter 5 Test Assignment Day 112 2/15/2013 Assignment Objectives: Area under the curve. Average Value Theorem and Mean Value Theorem for Integrals. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Class Work Chapter 5 Test Homework Go over the examples of section 6.1

Chapter 5 Test Day 113 2/19/2013 Assignment Objectives: Area under the curve. Average Value Theorem and Mean Value Theorem for Integrals. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Class Work Chapter 5 Test Free Response. Homework Handout.

Section 4.5 Integration by Substitution (Hand out ) Day 114 2/20/2013 Assignment Objectives: Use the pattern recognition to find the indefinite integral. Use the change of variables to find the indefinite integral. Use the change of variables to find the definite integral. Class Work Go over the quiz. Go over examples of integration by substitution. Homework Page 306 # 11-29 odd, 47-53 odd, 67, 69.

Section 4.5 Integration by Substitution (Hand out ) Day 115 2/21/2013 Assignment Objectives: Use the pattern recognition to find the indefinite integral. Use the change of variables to find the indefinite integral. Use the change of variables to find the definite integral. Class Work Go over examples from the hand out. Hand out problems.

Section 6.2 Integration by Substitution Day 116 2/22/2013 Assignment Objectives: Use the pattern recognition to find the indefinite integral. Use the change of variables to find the indefinite integral. Use the change of variables to find the definite integral. Class Work Page 321 # 2, 4, 6, 8, 11, 12, 15, 22, 24, 25. Due in the end of the class.

Section 6.1 Antiderivatives and slope Fields. Day 117 2/25/2013 Assignment Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Class Work Go over the chapter 5 Test Go over the separation of variables technique to solve differential equations. Homework Read all the examples of section 6.1 Page 113 # 27- 37 odd.

Section 6.1 Antiderivatives and slope Fields. Day 118 2/26/2013 Assignment Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Seniors Picnic !! Class Work Go over the chapter 5 Test Go over the separation of variables technique to solve differential equations. Homework Read all the examples of section 6.1 Page 113 # 27- 37 odd.

Section 6.1 Antiderivatives and slope Fields. Day 119 2/27/2013 Assignment Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Class Work /Homework Page 313 # 32, 39, 40, 41, 53, 55.

Quiz section 6.1-6.2 Assignment Class work Quiz Day 119 2/ 27/2013 Objectives: Use the pattern recognition to find the indefinite integral. Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Class work Quiz

Free response AP Questions from Sections 6.1-6.2 Day 120 2/28/2013 Assignment Objectives: Use the pattern recognition to find the indefinite integral. Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Class work Hand-out # 1-17 all.

Free response AP Questions from Sections 6.1-6.2 Day 120 3/4/2013 Assignment Objectives: Use the pattern recognition to find the indefinite integral. Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Class work Go over quiz questions Go over examples of Free Response. Finish the Hand-out

Section 6.4 Exponential Growth and Decay. Day 121 3/5/2013 Assignment Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Class Work Go over hand out questions Go over examples of exponential growth and decay. Homework Hand out # 1-13 all.

Section 6.4 Exponential Growth and Decay. Day 122 3/6/2013 Assignment Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Class Work Go over Warm up Go over examples of exponential growth and decay. Finish the hand out Homework Study both hand outs for the tomorrow’s quiz .

Review Sections 6.1-6.4 Day 123 3/7/2013 Assignment Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Class Work Finish the hand out.

Quiz Sections 6.1-6.4 Day 124 8/3/2013 Assignment Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Class Work Quiz

Go over the Quiz Sections 6.1-6.4 Day 125 3/11/2013 Assignment Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Class Work Go over the quiz Homework Read the examples of section 7.1

Section 7.1 Integral as a Net Change Day 126 3/12/2013 Assignment Objectives: Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data. Class Work Go over the warm up Go over examples # 2, 3,and 4 Homework Page 371 # 1,5,7, 9, 11 and 12-16 all.

Section 7.1 Integral as a Net Change Day 127 3/13/2013 Assignment Objectives: Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data Class Work Go over homework questions. Go over examples # 5, 6, 7. Homework Page 371 # 17,19, 21, 28, 29, 31. Due on 3/14/2013

Section 7.1 Integral as a Net Change Day 128 3/14/2013 Assignment Objectives: Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data Block schedule 3/15/2013 Class Work Go over homework questions. Hand-out

Section 7.1 Integral as a Net Change Day 129 3/18/2013 Assignment Objectives: Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data Class Work Go over hand out questions. Go over AP Free Response. Homework Review the hand out prepare for the quiz

Section 7.1 Integral as a Net Change Day 130 3/19/2013 Assignment Objectives: Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data Class Work Quiz

Section 7.2 Areas in the Plane Day 131 3/20/2013 Assignment Objectives: Find the area between two curves. Find the area using new boundaries with changing function. Integrating with respect to y. Class Work Go over examples of areas between two curves. Homework Page 380 # 1,3,7, 9, 11,13.

Section 7.2 Areas in the Plane Day 132 3/21/2013 Assignment Objectives: Find the area between two curves. Find the area using new boundaries with changing function. Integrating with respect to y. Class Work Page 380 # 2,4,6, 8, 32, 34.

Section 7.2 Areas in the Plane Day 133 4/1/2013 Assignment Objectives: Find the area between two curves. Find the area using new boundaries with changing function. Integrating with respect to y. Review Class Work Hand out

Section 7.3 Volumes Day 134 4/2/2013 Assignment 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. Class Work Go over examples of Cylindrical shell method. Homework Hand out

Section 7.3 Volumes Day 135 4/3/2013 Assignment 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. Class Work Go over examples of volume of solid with known cross sections. Go over problem page 390 # and 2. Homework Hand out

Section 7.3 Volumes Day 136 4/4/2013 Assignment 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. Class Work Finish the hand out

Section 7.3 Volumes Assignment Objectives. Day 137 4/5/2013 Assignment 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. Class Work Hand out

AP Review Day 138 4/8/2013 Assignment Objectives. Review limits and properties of limits AP Exam Review. “I was out sick “ Class Work Hand out

Sections 7.2-7.3 Quiz Assignment Class Work Quiz. Day 139 4/9/2013 Objectives. Find the volume of solids as an Integral. Find the volume of solids with square and circular cross sections. Find the volume by using the cylindrical shell method. Class Work Quiz.

Go Over The Quiz Day 140 4/10/2013 Assignment 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. Class Work Go over the Quiz.

AP Review Assignment Objectives. Day 141 4/11/2013 Assignment Objectives. Review limits and properties of limits AP Exam Review. Continuity and limits. Class Work Hand out

AP Review Assignment Objectives. Day 141 4/12/2013 Assignment Objectives. Review limits and properties of limits AP Exam Review. Continuity and limits. Class Work Hand out

AP Review Assignment Objectives. Day 141 4/15/2013 Assignment Objectives. Review limits and properties of limits AP Exam Review. Continuity and limits. “Block schedule” 4/17/2013 Class Work Finish the hand out on limits. Finish the review examples on topics 1-5all.

L’Hopital’s Rule Assignment Objectives: Day 142 4/16/2013 Assignment Objectives: Use the L’Hopital’s Rule to find the limit of 0/0 and ∞/∞ forms. Convert a given limit in to L’Hopital’s form. “Block schedule” 4/18/2013 Class Work Go over examples Page 423 # 1-6 all, 11-39 odd and 12, 16, 24, 30, 36, 42.

Derivatives Review Assignment Day 143 4/19/2013 Assignment Objectives: Review topic 6-15 Differentiation rules. Applications of derivatives. Class work Write and solve three problems for each topic.