Accelerated Pre-Calculus Lesson Plans Camille Whitfield Dates Monday Tuesday Wednesday Thursday Friday Standard MA3A1. Students will explore rational functions. c. Solve rational equations and inequalities analytically, graphically, and by using appropriate technology. MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. Essential Question/ Key Question Obj. 2 Test Day MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. How do I decide whether the relationship between two variables is a function? MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. How do I evaluate a difference quotient? MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. MA3A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, Trigonometric, and piecewise. How do I describe the behavior of a function? How do I find the domain and range of functions? Accelerated Pre-Calculus Lesson Plans Time Lesson Opener Warm-up: Test over Obj. 2 Camille Whitfield Warm-up: Give back test Warm-up: Is the relation a function? Warm-up: Find the domain and range. Warm-up: Evaluate the difference quotient. Notes for Practice 1.1 Notes for Practice 1.1 Notes for Practice 1.1 Notes for practice 1.2 Technology: Use of TI-83+ graphing calculator Technology: Use of TI-83+ graphing calculator Technology: Use of TI-83+ graphing calculator Technology: Use of TI-83+ graphing calculator Technology: Use of TI-83+ graphing calculator Obj. 2 Test Define relation and function Find the domain of a function Define difference quotient Test for functions Find the range of a function Evaluate a difference quotient Determine the domain and range from the graph of a function Horizontal Line Test Discuss the connection to Calculus 10 min. Procedures/Strategies Obj. 2 Test Time 25 min. Time Lesson Summary Extra Credit Daily Assignment after the test 10 min. Function Notation Evaluating a function Application Problems Time 10 min. Assessment/ Evaluation Obj. 2 Test Determine the intervals of increase and decrease Find the relative maximums and/or minimums Informal questions Informal questions Informal Questions Informal questions Teacher observation Teacher observation Teacher observation Teacher observation Class Discussion: The connection to Calculus Class discussion: Describe the different ways we can analyze the behavior of the Class discussion: Ways to determine if it is a function or not Writing Assignment: Accelerated Pre-Calculus Lesson Plans Camille Whitfield graph Describe three ways to determine if a relation is a function or not. Show an example for each. Materials Needed TI-83+ Graphing Calculator Obj. 2 Test Extra credit worksheet Smart Board Smart Board Smart Board Smart Board TI-83+ Graphing Calculator TI-83+ Graphing Calculator TI-83+ Graphing Calculator TI-83+ Graphing Calculator Textbook Textbook Textbook Textbook