Exponents and Exponential Functions Unit Portfolio
Introduction:
This unit portfolio will showcase my understanding of exponents and exponential functions. Throughout the unit, we have covered topics such as the basic properties of exponents, exponential growth and decay, and graphing exponential functions. This portfolio will include a variety of assignments and projects that demonstrate my knowledge and skills in these areas.
Assignment 1: Exponent Properties
For this assignment, I will demonstrate my understanding of the basic properties of exponents. I will provide examples of using the product rule, quotient rule, and power rule to simplify expressions with exponents. I will also show how to solve equations with exponents using these properties.
Assignment 2: Exponential Growth and Decay
In this assignment, I will explore real-world applications of exponential growth and decay. I will analyze data sets and determine whether they represent exponential growth or decay. I will also calculate the growth or decay factor and use it to make predictions about future values.
Assignment 3: Graphing Exponential Functions
For this assignment, I will demonstrate my ability to graph exponential functions. I will identify key features of the graph, such as the y-intercept, asymptote, and direction of growth or decay. I will also describe how changes in the equation affect the graph.
Final Project: Exponential Function Analysis
For my final project, I will choose a real-world scenario that can be modeled by an exponential function. I will gather data, create a function that represents the growth or decay in the scenario, and use it to make predictions. I will present my findings in a report or presentation that explains the significance of the exponential model in the context of the scenario.
Overall, this unit portfolio will showcase my knowledge and skills in working with exponents and exponential functions. I hope to demonstrate my ability to apply these concepts to real-world situations and communicate my findings effectively.