Pre-Calculus Exponential Growth and Decay Project Information Sheet Name ____________________________ Pd ____ 1) Topic: _________________________________________ 2) Research your topic and find at least 5 data points (more would be even better!) demonstrating the exponential growth or decay of your topic. Create a table that displays the data and attach a copy of the source where you found these data points. 3) Find an exponential regression equation that models the growth/decay of your data points. Round to the thousandths place. 4) Graph your data points AND the regression equation on the graph below. Make sure to label your axes. 5) Use your regression equation to predict… a) The state of your topic in 10 years (2023) b) When your topic will reach a certain value. (Ex. When will MySpace have less than 1 million users) Exponential Growth and Decay Presentation After you have researched your topic and completed the information sheet, you will prepare a 3-4 minute presentation to share your findings with the class. Your presentation will be graded using the following rubric. 5 3 1 Introduction Introduction stimulates attention (Ex. audience participation) and focuses on the topic. Introduction gains attention and relates to the topic. Introduction does not stimulate attention and lacks focus. History Presenter provides a thorough history of the topic that includes the reason for the exponential growth or decay Presenter provides a detailed history of the topic, but does not discuss the reason for the exponential growth or decay. Presenter gives a basic description of the history of the topic, leaving out a lot of important aspects, including the reason for exponential growth or decay. The data and regression equation are displayed in a way that clearly demonstrates the relationship between them and the exponential growth/ decay of the topic Presenter uses the regression equation to make a prediction about the future. The presenter also demonstrates how he/she arrived at this prediction and describes how realistic the prediction is. The visual aid is neat, organized, creative, and beneficial to the overall presentation. The presenter is wellrehearsed, has good eye contact, and demonstrates confidence. The data and regression equation are displayed in a way that clearly demonstrates the relationship between them or the exponential growth/decay of the topic The data and regression equation are displayed, but it is difficult to see the relationship between them and the exponential growth/decay of the topic. Presenter uses the regression equation to make a prediction about the future. The presenter also demonstrates how he/she arrived at this prediction or describes how realistic the prediction is. Presenter uses the regression equation to make a prediction about the future, but does not demonstrate how he/she arrived at this prediction or describe how realistic the prediction is. The visual aid is neat and organized, but it presents the information in a generic way. The visual aid was not neat or organized in showing the necessary information. The presenter demonstrates two of the three qualities described. The presenter demonstrates one of the three qualities described. Presentation of Data and Regression Equation Future Prediction Visual Aid Presentation Skills Correctness of Information Sheet Presentation / 30 / 30 Final Score: / 60