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First Day of School Day 1 8/19/2013 Objectives: Go over the classroom rules and regulations. Go over the syllabus. Discuss expectations and answer questions. Assignment Homework Finish the hand out review section 1.1.
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Lines Day 2 8/20/2013 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 hand out questions. Start working on the homework Homework Hand-out
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Section 1.2 Functions and Graphs Day 3 8/21/2013 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 Homework Write examples. Homework Page 17 # 1- 31 odd.
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Section 1.2 Functions and Graphs DAY 4 8/22/2013 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 homework questions. Finish examples with transformations of graphs. Class work/ Homework.Check the problems written on the board.
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Section 1.3 Exponential Functions Day 5 8/23/2013 Objectives: Determine the domain the range and the graph of exponential function. Solve problems using exponential function Assignment Class work Go over examples of interest model and half-time model. Homework Page 24-25 # 1-13 odd, 23- 33 odd.
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Section 1.4 Functions and Logarithms Day 6 8/26/2013 Objectives: Definition of one to one functions. Inverses functions. Logarithmic Function. Properties of logarithms. Application. Block schedule. Assignment Class work Go over homework questions. Go over examples of inverse functions and properties of logarithms. Quick Review page 39 # 1- 10 all. Page 39 # 3, 7, 11, 13, 19, 33*,35*, 37, 39 41, 43,48.
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Review Sections 1.1-1.4 Day 7 8/28/2013 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 Definition of one to one functions. Inverses functions. Logarithmic Function. Properties of logarithms. Application. Block schedule. Assignment Class Work Hand- out (60 min ) Quiz
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Review Sections 1.1-1.4 Day 8 8/29/2013 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 Definition of one to one functions. Inverses functions. Logarithmic Function. Properties of logarithms. Application. Block schedule. Assignment Class Work Hand- out
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Section 1.6 Trigonometric Functions Day 9 8/30/2013 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. Homework Finish the first day of school hand out on trigonometry.
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Section 1.6 Trigonometric Functions Day 10 9/3/2013 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 Review trigonometric functions. Homework Finish the first day of school hand out on trigonometry. Page 48-49 7,8,9,11-23 odd, 31, 32, 35.
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Section 1.6 Trigonometric Functions Day 11 9/6/2013 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 Review trigonometric functions. Finish the problems written on the board.
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Quiz Section 1.6 Day 12 9/9/2013 Objectives: Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). Review the graph of Trig functions. Evaluate inverse trigonometric functions. Assignment Class Work Go over the homework Quiz
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Section 2.1 Rates of Change and Limits Day 13 9/11/2013 Objectives: Average and instantaneous rate of change. Definition of limit. Properties of limit. One-sided and two-sided limit. Assignment Class Work Go over Monday’s Worksheet Go over examples 1-5 page 62 # 4, 6,. Homework Page 62 # 1-15 odd.
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Section 2.1 Rates of Change and Limits Day 14 9/11/2013 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 homework questions. Go over Theorems 1-4 examples. Homework Page 63-64 # 17-31 odd, 43, 45, 49, 53, 57.
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Section 2.1 Rates of Change and Limits Day 15 9/12/2013 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 homework questions. Go over Theorems 1-4 examples. Homework Page 63-64 # 17-31 odd, 43, 45, 49, 53, 57.
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Section 2.1 Rates of Change and Limits Day 16 9/13/2012 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.
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Section 2.2 Limits Involving Infinity Day 17 9/14/2013 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 Go over examples of infinite limit. Go over investigation 1 on page 68. Homework Page 70 # 1-11 odd, 17-27 odd.
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Section 2.2 Limits Day 18 9/17/2013 Objectives: 1. Find limits as x→∞. 2. Use the Sandwich Theorem. 3. Find infinite limits as x→a. 4. Find an End Behavior model for a function. Assignment Class Work 1.Go over the homework. 2.Go over examples of vertical asymptotes and end behavior models. Homework Page 72-73 # `18-22 even, 29-37 odd, 47, 48, 49, 50*.
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Section 2.3 Continuity Day 19 9/18/2013 Objectives: Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity. Assignment Class Work Go over homework questions. Go over definition of continuous function at a point, open interval, and closed interval. Homework Page 80 # 1-9 odd, 10, # 11,21,13, 15 19, 21. No quiz tomorrow
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Section 2.3 Continuity Day 20 9/19/2013 Objectives: Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity. Assignment Class Work Go over homework questions. Work on problems Page 71-72# 2,4,23,24,26,28,35,40. Page 81# 20, 25, 29*,36, 41.
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Sections 2.1-2.3 Quiz Day 21 9/19/2013 Objectives: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity. Assignment Class Work Quiz
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AP Practice Sections 2.1-2.3 Day 22 9/20/1013 Objectives: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity Assignment Class Work Worksheet
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AP Practice Sections 2.1-2.3 Day 23 9/23/1013 Objectives: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity Assignment Class Work Worksheet
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AP Practice Sections 2.1-2.3 Day 24 9/24/1013 Objectives: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity Assignment Class Work Go over the worksheets from Friday 9/20/2013 and Monday 9/23/2013. Go over The Intermediate Value Theorem Examples.
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Chapter 2 Review Day 25 9/25/2013 Objectives: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity Assignment Class Work Page 91 # 1-13 odd 15-24 all 29, 33,35, 39, 41. Due in the end of the class!
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Chapter 2 Review Day 26 9/26/2013 Objectives: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity Assignment Class Work The Intermediate Value Theorem Worksheet.
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Chapter 2 Test Day 27 9/27/2013 Objectives: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Understand continuity at a point, open interval, and closed interval. Understand types of discontinuity Assignment Class Work Chapter 2 Test
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Section 2.4 Rates of Change and Tangent Lines. Day 28 9/30 /2013 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 definition of the slope of the curve. Example 1 on page 82. 2.Go over examples 4 and 5 on page 85. Homework Page 87 # 1-5 odd, 9, 11, 13, 15.
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Section 3.1 Derivative of a Function. Day 29 10/1/2013 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 # 1-10 all on Quick Hand out.
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Section 3.1 Derivative of a Function. Day 30 10/2/2013 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 test. Go over Example 3 and # 18 page 103. Homework Work on problems page 101 # 7-10 all,
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Section 3.1 Derivative of a Function. Day 31 10/3/2013 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 homework questions. Quiz
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Section 3.1 Derivative of a Function. Day 32 10/4/2013 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 Worksheet questions. Graph the derivative Examples. Go over Example 3 and # 18 page 103. Homework Work on problems page 101 # 7-10 all and the worksheet.
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Section 3.2 Differentiability Day 33 10/7/2013 Objectives: Understand how f’(a) might fail to exist. See how differentiability implies local linearity. Assignment Class Work Go over the quiz. Go over the homework. Go over examples 1-4 points at which f’ fail to exits. Homework Page 111 # 1-10 all, 11, 13 21 and 29.
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Section 3.3 Differentiation Rules Day 34 10/8/2013 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 homework questions. Go over differentiation Rules. Homework Page 120 # 1-13 odd #11 part a) only, 17, 23.
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Section 3.3 Differentiation Rules Day 35 10/9/2013 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 homework questions. Class Work Worksheet Tomorrow Quiz
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Sections 3.1-3.3 Quiz Day 36 10/10/2013 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 Quiz
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Section 3.5 Derivatives of Trigonometric Functions Day 37 10/11/2013 Objectives: Find the derivatives of trigonometric functions Assignment Class work Go over homework “worksheet” Go over derivatives of trig functions examples. Homework Page 140 1-9 all. 11, 13, 19.
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Section 3.6 Chain Rule Day 38 10/14/2013 Objectives: Use the chain rule to find the derivatives of composite functions. Assignment Class Work Go over the Quiz. Go over chain rule examples. Homework Page 146 # 1-23 odd.
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Section 3.6 Chain Rule Day 39 10/15/2013 Objectives: Use the chain rule to find the derivatives of composite functions. Assignment Class Work Go over the homework questions. Go over page 147 # 26, 34, 36, 56. Homework Page 146-147 # 25-37 odd, and 57.
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Section 3.6 Chain Rule Day 40 10/16/2013 Objectives: Use the chain rule to find the derivatives of composite functions. Assignment Class Work Go over the homework questions. Worksheet.
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Section 3.7 Implicit Differentiation Day 41 10/17/2013 Objectives: Work with implicitly defined functions. Use implicit differentiation to find dy/dx Assignment Class Work Go over the homework questions. Go over examples of implicit differentiation. Homework Page 155 # 27, 29, 33, 35, 41.
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Section 3.7 Implicit Differentiation Day 42 10/18/2013 Objectives: Use the chain rule to find the derivatives of composite functions. Work with implicitly defined functions. Use implicit differentiation to find dy/dx Assignment Class Work Go over the homework questions. Go over examples of implicit differentiation. Homework Page 155 # 27, 29, 33, 35, 41.
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Warm –up
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Section 3.8 Derivatives of Inverse Trig Functions. Day 43 10/21/2103 Objectives: Find derivatives of inverse trigonometric functions. Assignment Class Work Go over the warm up Go over differentiation Rules of Inverse Trig Functions. Homework Page 162 # 1-15 odd.
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Day 44 Warm up
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Section 3.9 Derivatives of Exponential and Logarithmic Functions. Day 44 10/22/2013 Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. 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.
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Warm up
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Sections 3.7-3.9 Review Day 45 10/23/2013 Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. Find derivatives of inverse trigonometric functions. Assignment Class Work Go over the homework. Go over Example # 1 on page 164. Go over AP Free Response. Homework Page 170 # 2, 10, 14, 18, 22, 28, 30, 36.
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Chapter 2 and 3 AP Review Day 46 10/24/2013 Objectives: Review limits, derivatives by definition and differentiation rules. Assignment Class work / Homework Worksheet
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Sections 3.6-3.9 Quiz Day 47 10/28/2013 Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. Find derivatives of inverse trigonometric functions. Block Schedule Assignment Class Work Go over the Warm up. Go over the homework questions. Quiz
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Day 47 Warm up
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Section 3.4 Velocity and Other Rates of Change Day 48 10/30/2013 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. 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. Page 130-132 # 13, 15. 21,23, 25, 27, 31,28.
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Section 3.4 Velocity and Other Rates of Change Day 49 10/31/2013 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 warm up. Position, velocity, acceleration, and their relationship. Go over page 130 # 10, 16*. Homework Worksheet
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Review 10/31/2013
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Chapter 3 Review Day 50 11/4/2013 Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. Find derivatives of inverse trigonometric functions. Find the instantaneous rate of change. Find motion along a line. Find the sensitivity to change. Use derivatives in economics. Block Schedule Assignment Class Work Go over questions from the worksheet. Finish the worksheet “Chapter test next class”
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Day 49 11/6/2013 Chapter 3 Test
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Section 4.1 Extreme Value theorem Day 51 11/7/2013 Objectives: Definition of absolute and local minimum and maximum values. Extreme values and the first derivative. Assignment Class Work Go over the warm up Go over examples of extreme value. Homework Page 184 # 1-13 odd 15, 19 41, 45.
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Section 4.1 Extreme Value Theorem Day 52 11/12/2013 Objectives: Definition of absolute and local minimum and maximum values. Extreme values and the first derivative. Apply derivatives to increasing and decreasing functions. Assignment Class Work Go the increasing and decreasing functions examples. Finish the worksheet.
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Section 4.2 Mean Value Theorem Day 53 11/13/2013 Objectives: Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. Assignment Class Work Go over the warm up. Go over examples and problems # 2,18, and 40. Homework: Page 192 # 1,3,15,17, and 37.
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Warm-up 1.
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Section 4.3 Connecting f’ and f’’ with the graph of f. Day 54 11/14/2013 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. 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.
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Section 4.3 Connecting f’ and f’’ with the graph of f. Day 55 11/15/2013 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. Assignment Class Work: Go over homework questions. Finish the worksheet.
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Section 4.3 Connecting f’ and f’’ with the graph of f. Day 56 11/18/2013 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. Assignment Class Work: Go over homework questions. Homework Finish the worksheet.
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Section 4.3 Connecting f’ and f’’ with the graph of f. Day 57 11/19/2013 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. Assignment Class Work: Go over worksheet. Go over example # page 201 Work on problems Page 203 # 1-9 odd, 29 and 31.
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Section 4.3 Connecting f’ and f’’ with the graph of f. Day 58 11/20/2013 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. Assignment Class Work: Go over the homework. Go over second derivative Test. Work on the worksheet.
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Sections 4.1-4.3 Quiz Day 59 11/ 21/2013 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. Assignment Class Work Quiz
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Sections 4.1-4.3 Go over the Quiz Day 60 11/ 22/2013 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. Assignment Class Work Finish the quiz. Go over Mean Value Theorem.
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Mean Value Theorem 1. Tow stationary patrol cars equipped with radar are 5 miles apart on a highway. As a truck passes the first patrol car its speed is clocked at 55 mi/h. Four minutes later, when the truck passes the second patrol car, its speed is clocked at 50 mi/h. Prove that the truck must have exceeded the speed limit of 55mi/h some time during the 4 minutes.
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Section 4.2 Mean Value Theorem Day 61 11/25/2013 Objectives: Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. Assignment Class Work Go over the quiz. Finish the Mean Value Theorem. Homework Page 192 # 15, 21, 39, and 40.
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Section 4.4 Modeling and Optimization Day 62 11/26/2013 Objectives: Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Go over the warm up Go over the examples from the worksheet. Homework Study the worksheet.
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Section 4.4 Modeling and Optimization Day 63 11/27/2013 Objectives: Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Go over the warm up. Go over examples page 206- 207 # 1and 2. Class Work Page 214 # 1, 3, 7, 9, and 19.
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Section 4.6 Related Rates Day 64 12/2/2013 Objectives: Learn solution strategies for related rate problems. Simulate related motions. Assignment Class Work Go over the homework. Go over example # 2,3 page 237 # 8, 10. Homework Page 238 # 11 and 13.
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Section 4.6 Related Rates Day 65 12/2/2013 Objectives: Learn solution strategies for related rate problems. Simulate related motions. Assignment Class Work Go over the homework. go over example # 4 page 235 and # 29 on page 240. Homework Page 238 # 17, 22,31, 33,35.
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Review Optimization and Related Rate Day 66 12/3/2013 Objectives: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Worksheet Prepare for the Quiz Tomorrow
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Review Optimization and Related Rate Day 67 12/4/2013 Objectives: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Worksheet Prepare for the Quiz Tomorrow
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Review Optimization and Related Rate Day 68 12/5/2013 Objectives: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Quiz
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Review Optimization and Related Rate Day 69 12/6/2013 Objectives: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Go over the Quiz. Go over problems Page 238 # 22, 29, and 31
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Section 4.5 Linearization and Newton’s Method Day 70 12/9/2013 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 examples. Homework: Page 229 # 3, 5, 7, 11, 13, 19, 21.
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Section 4.5 Linearization and Newton’s Method Day 71 12/10/2013 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 examples of differentials. Homework: Worksheet
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Section 4.5 Linearization and Newton’s Method Day 72 12/11/2013 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 examples of differentials. Finish the Worksheet
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Chapter 4 Review Day 73 12/12/2013 Objective: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Page 242 # 3, 5, 13, 17, 27, 29, 31, 33, 39, 47, 53.
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Chapter 4 Review Day 74 12/13/2013 Objective: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Free Response AP Exam Questions.
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Chapter 4 Review Day 75 12/16/2013 Objective: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Practicing AP Exam Questions. Multiple Chose.
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Chapter 4 Review Day 76 12/17/2013 Objective: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Practicing AP Exam Questions. Free response.
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Chapter 4 Review Day 77 12/18/2013 Class Work. Check the answers of yesterday’s class work. Read problems #8, 10, 2 a, b page 406 Homework Page 406-407 # 1, 7, 9, 23, 39, 33. Assignment Class Work Review Page 242 # 3, 5, 13, 17, 27, 29, 31, 33, 39, 47, 53.
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Chapter 4 Test Day 78 12/19/2013 Objective: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Test
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Chapter 1-4 Review Day 79 12/20/2013 Objectives. Reviewing chapter 1-4. This is a Christmas break package that will be used to review for the AP exam. Assignment Class Work Start working with the review.
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Go over Chapter 4 Test Day 80 1/6/2013 Objective: Learn solution strategies for related rate problems. Simulate related motions. Use derivatives to solve problems from Business, industry, and differential mathematics. Assignment Class Work Review Chapter 1-4 by going over Chapter 4 Test.
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Section 5.1 Estimating With Sums Day 81 1/7/2014 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 Work Go over examples of LRAM, MRAM, RRAM, TAM and Trapezoidal Rule. Homework Finish the worksheet.
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Section 5.2 Definite Integrals Day 82 1/8/2014 Objectives: Definition of Riemann Sums. Use the technology to evaluate the definite integral. Use the definite integral to find the area under the curve. 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 the warm up Go over the concept of Riemann Sum and the definite integral. Homework Page 267 # 1-21 odd, 23.
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Section 5.3 Integrals Antiderivatives. Day 83 1/9/2014 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 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.
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Review Sections 5.1-5.3 Day 84 1/10/2014 Objectives: Use the total distance traveled to introduce rectangular approximation method. Use LRAM, MRAM, and RRAM method to approximate the area under the curve. 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 Worksheet
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Section 5.3 Integrals Antiderivatives. Day 85 1/13/2013 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 Friday’s Worksheet. Go over properties of definite integral. Go over Average Value Theorem and Mean Value Theorem for Integrals. Homework Worksheet
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Section 5.3 Integrals Antiderivatives. Day 86 1/14/2013 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. Block Schedule Assignment Class Work Go over properties of definite integral. Worksheet. Due in the end of the class
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Section 5.1-5.3 Quiz Day 87 1/15/2013 Objectives: Use the total distance traveled to introduce rectangular approximation method. Use LRAM, MRAM, and RRAM method to approximate the area under the curve. 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 5.4 Fundamental Theorem of Calculus Day 88 1/22/2013 Objectives: Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Block schedule Assignment Class Work Go over examples. Work on problems page 286 # 1-13 odd,15,27,37,39,53,55 and 60.
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Section 5.4 Fundamental Theorem of Calculus Day 89 1/24/2013 Objectives: Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Block schedule Assignment Class Work Practice AP Questions Go over examples. Finish the worksheet.
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Section 5.4 Fundamental Theorem of Calculus Day 90 1/27/2013 Objectives: Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Block schedule Assignment Class Work Go over questions from Friday’s work Practice AP Questions. Quiz.
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Chapter 5 Review Day 91 1/29/2014 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. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Assignment Class Work Go over the Quiz. Go over the Average Value Theorem and Mean Value Theorem for Integrals. Start Working on the Worksheet.
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Chapter 5 Review Day 92 1/30/2014 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. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Assignment Class Work Go over the Quiz. Go over the Average Value Theorem and Mean Value Theorem for Integrals. Start Working on the Worksheet.
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Chapter 5 Review Day 93 1/31/2014 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. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Assignment Class Work Worksheet Free Response AP Questions.
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Chapter 5 Review Day 94 2/3/2014 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. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Assignment Class Work NO TEST !!!!!! Page 298 # 12, 15, 17, 23, 27, 31, 33, 38*, 46*, 54*. Due in the end of the class.
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Chapter 5 Test Day 94 2/4/2014 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. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Assignment Class Work Chapter Test “The test was postponed for 2/5/2013” Class Work review the chapter.
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Chapter 5 Test Day 95 2/6/2014 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. Understand and use fundamental theorem of calculus part 1 and 2. Find the area under the curve and other applications. Assignment Class Work Chapter Test.
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Section 6.2 Integration by Substitution Day 96 2/6/2013 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. Assignment Class Work Go over examples of integration by substitution. Homework Page 321 # 1-4 all, 11-25 odd.
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2/7/2014 No school “Teacher’s Planning Day”
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Section 6.2 Integration by Substitution Day 97 2/10/2013 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. Assignment Class Work Go over examples of integration by substitution. Worksheet
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Section 6.2 Integration by Substitution Day 98 2/11/2013 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. Assignment Class Work Go over examples of integration by substitution. Worksheet
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Section 6.2 Integration by Substitution Practice AP Questions Day 99 2/12/2013 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. Assignment Class Work Go over examples of integration by substitution. Worksheet
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Section 6.2 Integration by Substitution Practice AP Questions Day 100 2/13/2013 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. Assignment Class Work Go over examples of integration by substitution. Worksheet “Early Release."
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Section 6.2 Integration by Substitution Day 101 2/14/2013 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. Assignment Class Work Quiz
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Section 6.1 Antiderivatives and slope Fields. Day 102 2/18/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Assignment Class Work Go over Section 6.1-6.2 Quiz Go over the Slope fields and separation of variables technique to solve differential equations. Homework Study the Worksheet
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Section 6.1 Antiderivatives and slope Fields. Day 103 2/19/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Assignment Class Work Go over homework questions. Go over the separation of variables technique to solve differential equations. Homework Worksheet
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Section 6.1 Antiderivatives and slope Fields. Day 104 2/20/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Assignment Class Work Go over homework questions. Go over the separation of variables technique to solve differential equations. Homework Worksheet
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Practice AP Questions Day 105 2/21/2013 Objectives: Students will be practicing AP questions from chapters 2-5. Assignment Class Work I will be out of school. Students will be finishing the worksheet.
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Practice AP Questions Day 106 2/24/2013 Objectives: Students will be practicing AP questions from chapters 2-5. Assignment Class Work Go over questions from Friday’s worksheet. Students will be finishing the worksheet.
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Section 6.4 Exponential Growth and Decay. Day 107 2/25/2014 Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Go over hand out questions Go over examples of exponential growth and decay. Homework Study the worksheet
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Section 6.4 Exponential Growth and Decay. Day 108 2/26/2014 Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Go over hand out questions Go over examples of exponential growth and decay. Homework Finish the worksheet
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Section 6.4 Exponential Growth and Decay. Day 109 2/27/2014 Objectives: Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Quiz
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Chapter 6 Practice Day 110 2/28/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Practice AP questions on slope field. Finish the worksheet.
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Chapter 6 Practice Day 111 3/3/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Go over the warm-up Chapter review on page
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Warm- up
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Chapter 6 Day 112 3/4/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Chapter Test Fee Response
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Chapter 6 Day 113 3/5/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Chapter Test Multiple choice
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Chapter 6 Day 114 3/6/2014 Objectives: Solve initial value problems. Relationship between antiderivatives and indefinite integrals. Use separation of variables to solve differential equations. Use separation of variables to solve differential equation. Use Law of exponential change to solve real life problems. Assignment Class Work Go over the Chapter Test Free Response. Go over examples of Net change Theorem.
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Net Change Theorem The rate at which students are getting infected with flu at South Side Elementary School is given by: Students per hour. The are 10 students sick at t=0. How many students will be sick after 5 hours.
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Section 7.1 Integral as a Net Change Day 115 3/7/2014 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 # 1-6. Homework Page 371 #3, 17,19, 21, 28, 31.
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Section 7.1 Integral as a Net Change Day 116 3/10/2014 Objectives: Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data Assignment Class Work Go over the warm-up Go over the Worksheet examples. Homework Finish the worksheet.
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Net Change Theorem
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Section 7.1 Integral as a Net Change Day 117 3/11/2014 Objectives: Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data Assignment Class Work Go over the warm-up. Go over questions from the Worksheet. Homework Finish the worksheet.
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Section 7.2 Areas in the Plane Day 118 3/12/2014 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 119 3/13/2014 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. Quiz Tomorrow
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Section 7.1-7.2 Quiz Integral as a Net Change and Areas in the Plane Day 120 3/14/2014 Objectives: Find the area between two curves. Find the area using new boundaries with changing function. Integrating with respect to y. Revisited the linear motion. Solve problems involving consumption over time. Solve problems of net change from the data Assignment Class Work Quiz
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Section 7.2 Areas in the Plane Day 121 3/16/2014 Objectives: Find the area between two curves. Find the area using new boundaries with changing function. Integrating with respect to y. Assignment Class Work 10 Students will take the Quiz the rest will work on the worksheet. Homework Worksheet
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Section 7.2 Areas in the Plane Day 122 3/17/2014 Objectives: Find the area between two curves. Find the area using new boundaries with changing function. Integrating with respect to y. Assignment Class Work Finish Monday’s Worksheet. Due in the end of the class.
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Section 7.3 Volumes Day 123 3/18/2014 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 124 3/19/2014 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. Go over problem page 390 # and 2. Homework Page 390 # 2, 3, 7, 13, and 15.
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Section 7.3 Volumes Day 125 3/31/2014 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 the homework. Go over hand out problems. Work with the hand out. Homework Finish the hand out
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Section 7.3 Volumes Day 126 4/1/2014 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 the homework. Go over hand out problems. Work with the hand out. Homework Finish the hand out
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Chapter 7 Review Day 127 4/2/2014 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 “Volume package is due!” Go over free Response Questions. Test tomorrow.
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Chapter 7 Test Day 128 4/3/2014 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 Chapter Test
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Chapter 7 Test Day 129 4/4/2014 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 the Test.
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Chapter 7 Test Day 129 4/7/2014 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 the Test. Practice AP Questions.
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L’Hopital’s Rule Day 130 4/8/2014 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. Assignment Class Work Review Limits Go over examples of L’Hopital’s Rule. Homework Page 423 # 1-6 all, 11-39 odd.
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L’Hopital’s Rule Day 131 4/9/2014 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. Assignment Class Work Go over examples of L’Hopital’s Rule. Homework Worksheet
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AP Review Limits Day 132 4/10/2014 Objectives. Review limits and properties of limits AP Exam Review. Continuity and limits. Assignment Class Work Limits hand out
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AP Review Limits Day 133 4/11/2014 Objectives. Review limits and properties of limits AP Exam Review. Continuity and limits. Convert a given limit in to L’Hopital’s form. Assignment Class Work “Grand Bash No students.”
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AP Review Derivatives Day 134 4/14/2014 Objectives. Differentiation rules. Applications of derivatives. Block Schedule Assignment Class Work Go over the AP Free Response Go over derivatives by definition. Practice Derivatives.
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AP Free Response
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AP Review Derivatives Day 135 4/15/2014 Objectives. Differentiation rules. Applications of derivatives. Assignment Class Work Go over the AP Free Response Practice applications of derivatives.
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AP Free Response
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AP Review Derivatives Day 137 4/16/2014 Objectives. Differentiation rules. Applications of derivatives. Assignment Class Work Go over the AP Free Response Practice applications of derivatives. Test on derivatives.
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AP Review Derivatives Day 138 4/17/2014 Objectives. Differentiation rules. Applications of derivatives. Assignment Class Work Go over the AP Free Response Go over the test.
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AP Review Day 139 4/23/2014 Objectives: Review related rate problems. Practice the AP Exam. Assignment Class Work Go over Free response on related rates. Practice AP questions.
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Free Response # 2
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AP Review Day 140 4/25/2014 Objectives: Review related rate problems. Practice the AP Exam. Assignment Class Work Go over Free response on related rates. Practice AP questions.
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