Modeling with Functions of Exponential Type

What will the money in your savings account be worth in 30 years? How does a coroner determine the time of death? Nature, society, business, and everyday life are full of situations in which a certain quantity depends on other measurable quantities. Function models enable us to describe, analyze, optimize, and predict what can happen in these situations. In M104 Modeling with Functions of Exponential Type, you will create function models in situations where a quantity changes at a rate that is proportional to its value. You will solve problems and reason about situations of exponential growth and decay, such as wildlife populations, financial investments and depreciation, bacterial growth, radioactivity, internet usage, or the popularity of fads. As you learn exponential modeling, you will make sense of the relationships between the algebraic form of an exponential function model and the situation it describes. You will use technology as a tool to solve exponential equations and to understand how the graphs of exponential functions relate to their algebraic form. The work for this badge builds a foundation for the future study of topics such as rational exponents and logarithmic functions. Modeling with exponential functions is useful for careers in a variety of fields, like economics, biology, sound engineering, and statistics.

XQ has developed a project-based unit aligned to Badge 104 as a part of the XQ Math Algebra 1 course. Find a teacher guide, content overview, and project overview for _Module 4 - Debt Trap_ under Learning Principles and Learning Activities, below. You can access the full folder of module materials HERE.