hand in simple cases and using technology for more complicated cases e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. There is no additional scope or clarification information for this standard. 8. Write a function defined by an expression in different but equivalent Enduring Understanding(s): Use the following Lesson(s) to introduce Vocabulary concepts/build conceptual understanding. The factor a in y=abx can stretch, Natural base exponential function, compress, and possibly reflect the of continuously compounded interest Domain: Seeing Structure in Expressions the parent function y=bx. Cluster: Interpret the structure of expressions. Writing in Math Use the structure of an expression to identify The function y=abx, a>0, b>01, models Write three different examples of ways to rewrite it. exponential growth. y=abx models exponential functions that stretch, exponential decay if 0<b<1. compress, and reflect. Explain why each Domain: Seeing Structure in Expressions function moves the way that it does. Cluster: Interpret the structure of expressions. Essential Question(s): . Derive the formula for the sum of a finite Why is y=aex considered to be an Have students to write a sentence(s) and geometric series (when the common ratio is exponential function? create examples about their thinking. not 1), and use the formula to solve problems. For example, calculate mortgage Objective(s): payments. Students will explore the properties of functions of the form y=abx. Use the textbook resources to address Domain: Interpreting Functions procedural skill and fluency. Students will graph exponential functions Cluster: Analyze functions using different that have base e. Pearson representations. Students will determine the growth or decay 7.2 Properties of Exponential Functions Write a function defined by an expression factor of an exponential function or situation. Lesson Videos in different but equivalent forms to reveal Students will write an exponential function and explain different properties of the
hand in simple cases and using technology for more complicated cases e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. There is no additional scope or clarification information for this standard. 8. Write a function defined by an expression in different but equivalent Domain: Seeing Structure in Expressions Cluster: Interpret the structure of expressions. Use the structure of an expression to identify ways to rewrite it. Domain: Seeing Structure in Expressions Cluster: Interpret the structure of expressions. . Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments. Domain: Interpreting Functions Cluster: Analyze functions using different representations. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the Enduring Understanding(s): The factor a in y=abx can stretch, compress, and possibly reflect the of the parent function y=bx. The function y=abx, a>0, b>01, models exponential growth. y=abx models exponential decay if 0<b<1. Essential Question(s): Why is y=aex considered to be an exponential function? Objective(s): Students will explore the properties of functions of the form y=abx. Students will graph exponential functions that have base e. Students will determine the growth or decay factor of an exponential function or situation. Students will write an exponential function Use the following Lesson(s) to introduce concepts/build conceptual understanding. Use the textbook resources to address procedural skill and fluency. Pearson 7.2 Properties of Exponential Functions Lesson Videos Vocabulary Natural base exponential function, continuously compounded interest Writing in Math Write three different examples of exponential functions that stretch, compress, and reflect. Explain why each function moves the way that it does. Have students to write a sentence(s) and create examples about their thinking.
Algebra%20II%20Q2%2016-17%20%209-19-16REV.docx