Definition of the exponential form. A basic example to understand the system of expressing any number into exponential form on the basis of another number.
An online college math course under development including the following topics (so far):
Sets
Math Foundations
Linear Equations
Solving and Graphing Inequalities
Graphing and Factoring Quadratic Equations
Properties of Exponents
Logarithms and Exponential Equations
Movie box office data that is current and very comprehensive. Several different trends are easy to track including exponential, and log functions. Great for using with students to create regression models, making predictions based on the models, checking the results and re-analyzing. Also, when a movie doesn't follow the predictions there are often easy to understand reasons for why the movies behave differently (a holiday weekend may cause the movie to gross more on a given weekend than predicted, etc.)
A college institutional researcher reveals some data concerning math placement tests and the pressures impacting students to opt for more difficult math courses without adequate preparation and unsatisfactory results. He writes: "In my mind, this disconnect exemplifies the degree to which incoming students and families don't grasp the difference between going to college to acquire content knowledge and going to college to develop skills and dispositions. ... [I]f students understand that college is about developing skills and dispositions, I think that they might be more likely to appreciate the chance to start at the beginning that is appropriate for them, savoring each experience like a slow cooked, seven course meal because they know that the culmination of college is made exponentially better by the particular ordering and integrating of the flavors that have come before."