***Welcome Back*** Looking forward to an exiting and successful year! You will be sited in alphabetical order. A list with your names and a number in front.

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***Welcome Back*** Looking forward to an exiting and successful year! You will be sited in alphabetical order. A list with your names and a number in front of your name will appear on the board. Tables are numbered. Please, look for your name and be sited. Thank you! Mrs. Hankollari

First Day of School Day 1 8/24/2015 Objectives: Go over the classroom rules and regulations. Go over the syllabus. Discuss expectations and answer questions. Assignment Homework Review section 1.1. Go over examples and formulas.

Lines Day 2 8/25/2015 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 equation of a line. Read the examples of section 1.1. Homework Finish the Worksheet

Section 1.1 Review Lines and Simplifying Expressions Day 3 8/26/2015 Objectives: Write the equation of the given line. Factor and simplify. Use properties of logarithms and exponents. Note : “Today was Seniors Orientation this lesson was postponed for tomorrow “ Assignment Class work Go over the hand out questions. Go over concepts of 1.2. Homework Finish the worksheet !

Section 1.1 Review Lines and Simplifying Expressions Day 4 8/27/2015 Objectives: Write the equation of the given line. Factor and simplify. Use properties of logarithms and exponents. Assignment Class work Go over the hand out questions.

Section 1.1 Review Lines and Simplifying Expressions Day 5 8/28/2015 Objectives: Write the equation of the given line. Factor and simplify. Use properties of logarithms and exponents. Assignment Class work Practice solving and simplifying Expressions.

Review for the Quiz Day 6 8/ Objectives: Write the equation of the given line. Factor and simplify. Use properties of logarithms and exponents. Assignment Class work Finish the problems written on the board. Study for the quiz.

Review for the quiz Day 7 9/1/2015 Objectives: Write the equation of the given line. Factor and simplify. Use properties of logarithms and exponents. Assignment Class work Quiz

Section 1.2 Functions and Graphs Day 8 9/2/2015 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 hand-out examples. Homework Worksheet

Sections Exponential and Logarithmic Functions Day 9 9/3/2015 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 Assignment Class work Go over examples from the worksheet. Homework Worksheet

Sections Exponential and Logarithmic Functions Day 10 9/4/2015 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 Assignment Class work Go over examples from the worksheet. Homework Worksheet

Transformations of Functions Day 11 9/8/2015 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 Assignment Class work Go over the homework Go over examples on finding Domain and range analytically. Homework Page 17 # 1, 5,7,9, 17, 19,21, 27, and 49.

Transformations of Functions Day 12 9/9/2015 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 **Note : This class was moved to 9/10/2015. I was out sick on 9/9/2015** Assignment Class work Go over homework questions. Review for the quiz. Homework Study the last quiz questions + transformations of graphs.

Transformations of Functions Day 14 9/11/2015 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 Assignment Class work Quiz

Section 1.5 Trigonometric Functions Day 15 9/15/2015 Objectives: Identify the periodicity and even-odd properties of the trigonometric functions. Generate the graph of the trigonometric functions and explore various transformations. Assignment Class work Go over the quiz. Review evaluating trigonometric function. Homework hand-out.

Section 1.5 Trigonometric Functions Day 16 9/16/2015 Objectives: Identify the periodicity and even-odd properties of the trigonometric functions. Generate the graph of the trigonometric functions and explore various transformations. Assignment Class work Review evaluating invers trigonometric function. Homework finish the hand-out.

Section 1.5 Trigonometric Functions Day 17 9/17/2015 Objectives: Identify the periodicity and even-odd properties of the trigonometric functions. Generate the graph of the trigonometric functions and explore various transformations. Assignment Class work Review graphs of trigonometric functions. Homework Study for the quiz tomorrow

Section 1.5 Trigonometric Functions Day 18 9/18/2015 Objectives: Identify the periodicity and even-odd properties of the trigonometric functions. Generate the graph of the trigonometric functions and explore various transformations. Assignment Class work Quiz

Review Chapter 1 Day 19 9/21/2015 Objectives: Identify the periodicity and even-odd properties of the trigonometric functions. Generate the graph of the trigonometric functions and explore various transformations. 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 Assignment Class work Finish the worksheet

Section 2.1 Rates of Change and Limits Day 20 (9/22/2015) Objectives: Average and instantaneous rate of change. Definition of limit. Properties of limit. One-sided and two-sided limit. “Day 21 9/23/2015 No School Teachers Planning Day “ Assignment Class Work Go over definition of limits and examples. Go over examples page 62 # 4, 6,. Homework Page 62 # 1-15 odd.

Section 2.1 Rates of Change and Limits Day 22 9/24/2015 Objectives: Average and instantaneous rate of change. Definition of limit. Properties of limit. One-sided and two-sided limit. Assignment Class Work Go over homework questions. Go over Theorems 1-4 examples. Homework Page # odd, 43, 45, 49, 53, 57.

Section 2.1 Rates of Change and Limits Day 23 (9/25/2015) Objectives: Review: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Assignment Class Work Go over Homework questions. Work on page 62 # 2-10 even,16, 20, 22, 24, 28, 30, 32, 44, 46, Homework Review homework problems and examples of section 2.1.

Section 2.2 Limits Involving Infinity Day 24 (9/28/2015) 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. Homework Finish the hand out

Section 2.3 Rates of Change and Limits and Continuity Day 25 (9/29/2015) Objectives: Review: 1. Definition of limit. 2.Properties of limit. 3.One-sided and two-sided limit. Find limits as x→∞. 4. Use the Sandwich Theorem. 5. Find infinite limits as x→a. 6. Find an End Behavior model for a function. Assignment Class Work Go over Homework questions. Go over types of discontinuity points. Homework Hand –out

Definition of Continuity

Types of discontinuity 1.Removable discontinuity 2.Jump discontinuity 3.Infinite discontinuity 4.Oscillating discontinuity

Section 2.2 Limits Review Day 26 (9/30/2015 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. Review all Limit examples and worksheets. Homework Review for the quiz tomorrow

Section 2.2 Limits Review Day 27 (10/1/2015 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 Limit Quiz

Section 2.2 Limits Review Day 28 (10/2/2015 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 Page 71 # 9,11,12,17, 19, 21, 23, 26, 28, Page 80 # 11, 12, 13, 19, 21.

Chapter 2 Review Day 29 10/6/2015 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. Assignment Class Work Go over IVT theorem and examples. Work on the hand-out.

Chapter 2 Review Day 30 10/7/2015 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. Assignment Class Work Go over IVT theorem and examples. Work on the hand-out.

Chapter 2 Review Day 31 10/8/2015 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. Assignment Class Work Practice AP Questions. Start reviewing for the Chapter Test.

Chapter 2 Review Day 32 10/9/2015 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. Assignment Class Work Practice AP Questions. Use index Cards to review for the test. Practice AP Questions Note : “ I will be absent on 10/9/2015 students will be working in groups and I will answer questions on Monday “

Chapter 2 Review Day 33 10/12/2015 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. Assignment Class Work Go over Practice AP Questions from Friday’s worksheet. Go over test Questions. “Test tomorrow !!”

Chapter 2 Test Day 34 9/13/2015 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. Assignment Class Work Chapter Test

Section 2.4 Rates of Change and Tangent Line Day 35 10/14/2015 Objectives Understand and evaluate average rate of change. Understand and evaluate slope of the curve using limit definition. Assignment Class Work Go over examples of average rate of change and slope of tangent line. Homework Worksheet 1-4 all.

Homework

Section 2.4 Rates of Change and Tangent Line Day 36 10/15/2014 Objectives Understand and evaluate average rate of change. Understand and evaluate slope of the curve using limit definition. Assignment Class Work Homework is due! Go over examples of average rate of change and slope of tangent line. Homework Page 87 # 1,3,9,11,15, and 17.

Section 3.1 Derivative of a Function. Day 37 (10/16/2015) 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 # 1-6 all.

Section 3.1 Derivative of a Function. Day 38 (10/19/2015) Objectives: 1. Understand and use the definitions of derivative. 2. Use proper notation. Assignment Class Work Go over the homework. Finish the worksheet examples. Quiz tomorrow on definitions of the derivative.

Section 3.1 Derivative of a Function. Day 39 (10/20/2015) Objectives: 1. Understand and use the definitions of derivative. 2. Use proper notation. Assignment Class Work Quiz

Section 3.3 Differentiation Rules Day 40 10/21/ 2015 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 differentiation Rules. Homework Page 120 # 1-13 odd, 17, 21

Section 3.3 Differentiation Rules Day 41 10/22/2015 Objectives: 1. Find derivatives of positive integer powers, multiples,, sums and differences. 2. Use product rule and quotient rule. 3. Find derivatives of negative integer powers. Find higher order derivatives. Assignment Class work Go over the warm up Go over examples of numerical derivatives. Homework Page 120 # 23, 25, 27, 33*, 35*.

Warm up

Section 3.3 Differentiation Rules Day 42 10/23/2015 Objectives: 1. Find derivatives of positive integer powers, multiples,, sums and differences. 2. Use product rule and quotient rule. 3. Find derivatives of negative integer powers. Find higher order derivatives. Assignment Class work Go over the warm up Due in the end of the class page 120 # 2-18 even, and 24.

Section 3.1 Derivative of a Function. Day 42 (10/26/2015) Objectives: 1. Understand and use the definitions of derivative. 2. Use proper notation. Assignment Class Work Check the homework ! Graph f’(x) from f(x). Go over examples. Homework : Page 101 #1, 7-10 all and 18. Page 111 # 1-9 odd.

Section 3.5 Derivatives of Trigonometric Functions Day 43 10/27/2015 Objectives: Find the derivatives of trigonometric functions. Assignment Class work Go over the Warm-up Go over derivatives of trig functions examples. Homework Page all. 11, 13,and 15.

Review Section and 3.5 Day 45 10/28/2015 Objectives: Find the derivatives of trigonometric functions. 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 examples from the hand-out. Finish the hand-out Homework Study for the quiz Tomorrow

Quiz Section and 3.5 Day 46 10/29/2015 Objectives: Find the derivatives of trigonometric functions. 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

Section 3.6 Chain Rule Day 47 11/2/2015 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.

Section 3.6 Chain Rule Day 48 11/3/2015 Objectives: Use the chain rule to find the derivatives of composite functions. Assignment Class Work Go over the homework questions. Go over # 27, 37, 40 and 57 page 147 Homework Page # odd.

Section 3.6 Chain Rule Day 49 11/4/2015 Objectives: Use the chain rule to find the derivatives of composite functions. Assignment Class Work Go over the homework questions. Practice problems page # 147 # 2,4,8,14, 20, 24, and 56. The class work is due in the end of the class !!!!!!!! Quiz Tomorrow !!!!

Section 3.6 Chain Rule Day 50 11/6/2015 Objectives: Use the chain rule to find the derivatives of composite functions. Assignment Class Work Go over the warm-up Finish the practice Quiz

Section 3.7 Implicit Differentiation Day 51 11/9/2015 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 # 1-11 odd.

Section 3.7 Implicit Differentiation Day 52 11/10/2015 Objectives: Work with implicitly defined functions. Use implicit differentiation to find dy/dx Note: I was out on 11/10/2015 Student had difficulties working with this problems I had to reteach on 11/12/2015 Assignment Class Work Go over the Warm-up Go over examples of implicit differentiation. Homework Page 155 # 10, 17, 18, 19, 27, 31, 33, and 35.

Section 3.7 Implicit Differentiation Day 53 11/12/2015 Objectives: Work with implicitly defined functions. Use implicit differentiation to find dy/dx Assignment Class Work Go over the Warm-up Go over examples of implicit differentiation. Homework Page 155 # 10, 17, 18, 19, 27, 31, 33, and 35.

Section 3.8 Derivatives of Inverse Trig Functions. Day 54 11/13/2015 Objectives: Find derivatives of inverse trigonometric functions. Assignment Class Work Yesterday’s class work is due! Go over differentiation Rules of Inverse Trig Functions. Homework Page 162 # 1-15 odd.

Section 3.9 Derivatives of Exponential and Logarithmic Functions. Day 55 11/18/2015 Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. **Block Schedule ** Assignment Class Work Go over Examples of derivatives of exponential and logarithmic functions. Work on questions Page 170 # 1-35odd. Homework Worksheet

Review sections Day 56 11/19/2015 Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. **Block Schedule ** Assignment Class Work Go over the Warm-up. Review Derivatives of Quiz

Review sections Day 57 11/20/2015 Objectives: Evaluate derivatives of exponential and logarithmic functions. Use chain rule for log and exponential functions. **Block Schedule ** Assignment Class Work Go over the Warm-up. Practice AP questions on derivatives.

The Derivative of Inverse Functions

AP Derivatives 1. 2.

AP Derivatives 3.

AP Derivatives

7. 8.

Section 3.4 Velocity and Other Rates of Change Day 59 11/23/2015 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 examples. Position, velocity, acceleration, and their relationship. Homework Study the Worksheet