Introduction
The Small World Isn't It Project Portfolio is a collection of assignments that focus on developing a fomula for exponential growth. The main mathematical ideas used in this problem are derivatives, the Standard Base, and Logarithims.
Process
Previous to this problem, my class was taught how to find growth using linear functions (i.e. y = mx + b). Now we were beginning to learn how to create a function that uses exponential growth.
The first assignment we were given was named Gremlins Everywhere! and gave an introduction into developing exponential formulas. The goal of this assignment was to develop a general rule for developing exponential formulas by using the formula y = 2^x as the basis for the problem.
The next assignment, A REVIEW of LOGs, focused on teaching logarithms and the logarithmic form. It gave a few problems on how to convert exponential form into logarithmic form using the formula x = a^y
After these two assignments, we were given ones that taught how to find derivatives in exponential functions. The first of these assignments was entitled Slippery Slopes and used a t-chart to find the relationship between an exponential function and a derivative. For this problem, we were required to find different derivatives for variables of x for the functions y = 2^x and y = 10^x
A couple of other assignments focused on practicing working with exponential functions.
The first assignment we were given was named Gremlins Everywhere! and gave an introduction into developing exponential formulas. The goal of this assignment was to develop a general rule for developing exponential formulas by using the formula y = 2^x as the basis for the problem.
The next assignment, A REVIEW of LOGs, focused on teaching logarithms and the logarithmic form. It gave a few problems on how to convert exponential form into logarithmic form using the formula x = a^y
After these two assignments, we were given ones that taught how to find derivatives in exponential functions. The first of these assignments was entitled Slippery Slopes and used a t-chart to find the relationship between an exponential function and a derivative. For this problem, we were required to find different derivatives for variables of x for the functions y = 2^x and y = 10^x
A couple of other assignments focused on practicing working with exponential functions.