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***Welcome Back***  Looking forward to an exiting and successful year!

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

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***Welcome Back***  Looking forward to an exiting and successful year!

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  1. ***Welcome Back*** Looking forward to an exiting and successful year! Your last names are attached on the desk in alphabetical order. Please, look for your name and be seated. Thank you! Mrs. Hankollari

  2. First Day of School Day 1 8/18/2014 Assignment Homework Review section 1.1. Go over examples and formulas. Objectives: • Go over the classroom rules and regulations. • Go over the syllabus. • Discuss expectations and answer questions .

  3. Lines Day 2 8/19/2014 Assignment Class Work Go over summer assignment front page. Go over equation of a line. Homework Read the examples of section 1.2 • 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.

  4. Section 1.2 Functions and Graphs Day 3 8/20/2014 Assignment Class work Go over the power point examples. Homework Page 17 # 1- 31 odd 41, and 45. 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

  5. Section 1.2 Functions and Graphs Day 4 8/21/2014 Assignment Class work Go over Homework Go over examples with transformations of graphs. Class work/ Homework .Check the problems written on the board. 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

  6. Sections 1.3-1.5 Exponential and Logarithmic Functions Day 5 8/22/2014 Assignment Class work Go over homework questions. Go over examples of inverse functions and properties of logarithms and exponents . Go over problems Page 25 # 24, 26 ,30.Page 39 # 36,40,and 42. Homework Review the lectures. Work on problems page 24 # 7,9,11, 23, 27, 29.Page 39 # 33-41 odd. Objectives: • Determine the domain the range and the graph of exponential function. • Solve problems using exponential function • Definition of one to one functions. • Inverses functions . • Logarithmic Function. Properties of logarithms. Application

  7. Sections 1.1-1.5 Review Day 6 8/25/2014 Assignment Class work Go over the homework questions. Review for the quiz. Page 52 # 9, 11, 15, 19, 23, 27, 31, 35, 39, 41, 43 part a) only, 61, and 63. Objectives: • Determine the domain the range and the graph of exponential function. • Solve problems using exponential function • Definition of one to one functions. • Inverses functions . • Logarithmic Function. Properties of logarithms. Application

  8. Sections 1.1-1.5 Quiz Day 7 8/26/2014 Assignment Class work Quiz Objectives: • Determine the domain the range and the graph of exponential function. • Solve problems using exponential function • Definition of one to one functions. • Inverses functions . • Logarithmic Function. Properties of logarithms. Application

  9. Section 1.6 Trigonometric Functions Day 8 8/27 /2014 Assignment Class Work Go over the quiz Review trigonometric functions. Homework Check the problems written on the board. Objectives: • Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). • Review the graph of Trig functions.

  10. Section 1.6 Trigonometric Functions Day 9 8/28 /2014 Assignment Class Work Go over hand out questions. Review trigonometric functions. 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. • Review invers trigonometric functions.

  11. Section 1.6 Trigonometric Functions Day 10 8/29 /2014 Assignment Class Work Go over hand out questions. Go over inverse trigonometry function. Homework Work Check the problems written on the board. Objectives: • Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). • Review the graph of Trig functions. • Review invers trigonometric functions.

  12. Section 1.6 Trigonometric Functions Day 11 9/2/2014 Assignment Class Work Finish the Handout . Objectives: • Review definition of sin(x), cos(x), tan(x), cot(x),sec(x), csc(x). • Review the graph of Trig functions. • Review invers trigonometric functions.

  13. Section 2.1 Rates of Change and Limits Day 12 (9/3/2014) Assignment Class Work Go over definition of limits and examples. Go over examples 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.

  14. Calculus = Limits + Derivatives+ Integrals

  15. Section 2.1 Rates of Change and Limits Day 13 9/4/2014 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.

  16. Section 2.1 Rates of Change and Limits Day 14 (9/5/2014) 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.

  17. Section 2.2 Limits Involving Infinity Day 15 (9/8/2014) 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. Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function.

  18. Section 2.2 Limits Day 16 (9/9/2014) Assignment Class Work Go over the homework. 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.

  19. Section 2.2 Limits Day 17 9/10/2014 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. Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function.

  20. Section 2.2 Limits Day 18 9/11/2014 Assignment Class Work Quiz Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function.

  21. Section 2.3 Continuity Day 19 (9/12/2014) Assignment Class Work Go over Quiz Go over definition of continuous function at a point, open interval, and closed interval. Homework Go over the examples of the hand-out. Objectives: • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.

  22. Section 2.3 Continuity Day 20 (9/15/2014) Assignment Class Work 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.

  23. Section 2.3 Continuity Day 21 (9/16/2014) Assignment Class Work Go over IVT theorem and examples. Homework Page 91 # 1-7 odd. 15-24 all. 29, 39, and 41. Objectives: • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.

  24. Chapter 2 Review Day 22 9/17/2014 Assignment Class Work Go over IVT theorem and examples. Go over the homework. Homework Start reviewing for the Chapter Test. Work on the hand-out. Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function. • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.

  25. Chapter 2 Review Day 23 9/18/2014 Assignment Class Work Go over IVT theorem and examples. Go over the homework. Homework Start reviewing for the Chapter Test. Work on the hand-out. Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function. • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.

  26. Chapter 2 Test Day 24 9/19/2014 Assignment Class Work Chapter Test Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function. • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.

  27. Chapter 2 Go over the Test Day 25 9/22/2014 Assignment Class Work Go over the Test. Finish the problems written on board. “I was absent on 9/22/2014. this lesson was moved to 9/23/2014” Objectives: • Find limits as x→∞ . • Use the Sandwich Theorem . • Find infinite limits as x→a . • Find an End Behavior model for a function. • Understand continuity at a point, open interval, and closed interval. • Understand types of discontinuity.

  28. Chapter 2 Review

  29. Section 2.4 Rates of Change and Tangent Line Day 26 9/24/2014 Assignment Class Work Go over examples of average rate of change and slope of tangent line. Homework Check on-line on Killian website. “No school tomorrow ! “ Objectives • Understand and evaluate average rate of change. • Understand and evaluate slope of the curve using limit definition.

  30. Homework

  31. Section 2.4 Rates of Change and Tangent Line Day 27 9/26/2014 Assignment Class Work Homework and quiz are due! Go over examples of average rate of change and slope of tangent line. Homework Page 87 # 1,3,9,11,15, and 17. Objectives • Understand and evaluate average rate of change. • Understand and evaluate slope of the curve using limit definition. • “This lesson was postponed for Monday 9/29/2014. Students needed help with the homework!”

  32. Section 3.1 Derivative of a Function. Day 29 (9/30/2014) Assignment Class Work Go over the homework. Go over the definition of the Derivative. Homework Page 101 # 1-6 all. Objectives: • Understand and use the definitions of derivative. • Use proper notation.

  33. Section 3.1 Derivative of a Function. Day 30 (10/1/2014) Assignment Class Work Go over problems from the worksheet. Homework Finish the worksheet . Objectives: • Understand and use the definitions of derivative. • Use proper notation. • Graph the derivative function.

  34. Section 3.1 Derivative of a Function. Day 31 (10/2/2014) Assignment Class Work Quiz Objectives: • Understand and use the definitions of derivative. • Use proper notation. • Graph the derivative of the given functions.

  35. Sections 2.4 - 3.1 Go over the quiz Day 32 (10/3/2014) Assignment Class Work Go over the quiz. Objectives: • Understand and use the definitions of derivative. • Use proper notation. • Graph the derivative of the given functions.

  36. Section 3.2 Differentiability Day 33 (10/6/2014) Assignment Class Work Go over examples 1-4 points at which f’ fail to exits. Graph the derivative. Homework Page 111 # 1-10 all, 11, 13 21 and 29 . Objectives: Understand how f’(a) might fail to exist. See how differentiability implies local linearity.

  37. Day 33 Warm up

  38. Section 3.3 Differentiation Rules Day 34 10/7/ 2014 Assignment Class work Go over the homework. 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.

  39. Section 3.3 Differentiation Rules Day 35 10/8/2014 Assignment Class work Go over the warm up Go over 24 page 120. Homework Page 120 # 23, 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.

  40. Section 3.3 Differentiation Rules Day 36 10/9/2014 Assignment Class work Go over the warm up Due in the end of the class page 120 # 2-18 even, and 26. 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.

  41. Section 3.1-3.3 Differentiation Rules Day 37 10/10/2014 Assignment Class work Quiz 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.

  42. Section 3.4 Velocity and Other Rates of Change Day 38 10/13/2014 Assignment Class Work Go over examples. Position, velocity, acceleration, and their relationship. Homework Go over the examples covered in class. Objectives: • Find the instantaneous rate of change. • Find motion along a line. Find the sensitivity to change. • Use derivatives in economics.

  43. Day 34 Warm Up

  44. Section 3.4 Velocity and Other Rates of Change Day 39 10/14/2014 Assignment 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, 5,9,13 . Objectives: • Find the instantaneous rate of change. • Find motion along a line. Find the sensitivity to change. • Use derivatives in economics.

  45. Section 3.4 Velocity and Other Rates of Change Day 40 10/15/2014 Assignment Class Work Go over the Quiz. Finish the worksheet from Monday. Homework Page 130 # 12, 13, 15, Page 130-132 # 21,23, 25, 27, 31*,28. Objectives: • Find the instantaneous rate of change. • Find motion along a line. Find the sensitivity to change. • Use derivatives in economics.

  46. Section 3.4 Velocity and Other Rates of Change Day 41 10/16/2014 Assignment Class Work Free Response make up. Go over the homework questions. Homework Worksheet Objectives: • Find the instantaneous rate of change. • Find motion along a line. Find the sensitivity to change. • Use derivatives in economics.

  47. Section 3.4 Velocity and Other Rates of Change Day 42 10/17/2014 Assignment Class Work Free Response make up. Go over the homework questions. Homework Worksheet Objectives: • Find the instantaneous rate of change. • Find motion along a line. Find the sensitivity to change. • Use derivatives in economics.

  48. Section 3.4 Velocity and Other Rates of Change Day 43 10/20/2014 Assignment Class Work Go over homework questions. Work on problems page 129 # 2 , 8, 10 , 24, 25, and 31. Objectives: • Find the instantaneous rate of change. • Find motion along a line. Find the sensitivity to change. • Use derivatives in economics.

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