Recognize that sequences are functions, Linear functions have a constant Lesson 1 decay, decay factor sometimes defined recursively, difference, whereas exponential Lesson 2 domain is a subset of the integers. For functions have a constant ratio. Lesson 3 Writing in Math /Discussion example, the Fibonacci sequence is Real situations can be Lesson 4 How does the graph of y = bx change as the defined recursively by f(0) = f(1) = 1, f(n + represented symbolically and base b increase or decreases? Lesson 5 1) = f(n) + f(n 1), for n > 1.★ – graphically. How can you tell if an exponential function Lesson 6 models growth or decay? Lesson 7 Domain: Building Functions (F-BF) Give an example of an exponential function in Cluster: Build a function that describes a Essential Question(s) the form y = abx that is neither an exponential relationship between two quantities. Use the textbook resources to address What are the characteristics of growth function nor an exponential decay Determine an explicit expression, a procedural skill and fluency. exponential functions? function. Explain your reasoning. recursive process, or steps for calculation Pearson What are real world models of from a context. exponential growth and decay? Chapter 7- Exponents and Exponential Explain how the recursive rule and the Functions (Briefly review 7-1, 7-3, 7-4, & 7-5 How can one differentiate an exponential exponential rule are related? as needed) model from a linear model given a real world set of data? 7-6 Exponential Functions 7-7 Exponential Growth & Decay Objective(s): Glencoe Students will describe and interpret 7-6 Exponential Functions exponential functions that fit the patterns. Students will evaluate and graph Use the following resources to deepen exponential functions. students' conceptual understanding of mathematical content and develop their Students will model exponential growth ability to apply that knowledge to and decay. problems. Task(s) Illustrative Math: Snake on a Plane Illustrative Math: College Fund Illustrative Math: Folding
Recognize that sequences are functions, sometimes defined recursively, domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + f(n – 1), for n > 1.★ Domain: Building Functions (F-BF) Cluster: Build a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a context. Linear functions have a constant difference, whereas exponential functions have a constant ratio. Real situations can be represented symbolically and graphically. Essential Question(s) What are the characteristics of exponential functions? What are real world models of exponential growth and decay? How can one differentiate an exponential model from a linear model given a real world set of data? Objective(s): Students will describe and interpret exponential functions that fit the patterns. Students will evaluate and graph exponential functions. Students will model exponential growth and decay. Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Use the textbook resources to address procedural skill and fluency. Pearson Chapter 7- Exponents and Exponential Functions (Briefly review 7-1, 7-3, 7-4, & 7-5 as needed) 7-6 Exponential Functions 7-7 Exponential Growth & Decay Glencoe 7-6 Exponential Functions Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Task(s) Illustrative Math: Snake on a Plane Illustrative Math: College Fund Illustrative Math: Folding decay, decay factor Writing in Math /Discussion How does the graph of y = bx change as the base b increase or decreases? How can you tell if an exponential function models growth or decay? Give an example of an exponential function in the form y = abx that is neither an exponential growth function nor an exponential decay function. Explain your reasoning. Explain how the recursive rule and the exponential rule are related?
Algebra%20I%20Q3%202016-17%20CH%2012_8_16.docx