Exponential Functions - Intro

This math unit begins with understanding exponential functions in both growth and decay contexts, initially by matching equations to real-world scenarios like financial savings and population changes in discrete settings. It progresses to more complex applications involving continuous exponential decay functions, where students learn to identify and compute variables like starting values, decay rates, and durations. The unit intensifies in complexity by exploring how to solve for specific values, like time or initial quantities, in both discrete and continuous decay scenarios and growth scenarios as well. Towards the latter part of the unit, students encounter practical applications of logarithmic scales that deepen their understanding of exponential relationships through real-world measures such as pH levels, sound intensities, and seismic activities. This involves converting and comparing logarithmic values, allowing students to navigate and apply exponential and logarithmic functions in various scientific contexts.Skills you will learn include:

• Model exponential growth and decay
• Write exponential equations from contexts
• Determine the initial value of an exponential function
• Determine the growth or decay factor
• Determine present value of an investment
• Evaluate exponential functions
• Evaluate long-term financial decisions
• Compare nominal and effective interest rates
• Determine future value of an investment