The best way to introduct students to exponential functions, and how they are fundamentally different from linear and quadratic functions.
In a slight twist from the ancient "You can have a million dollars right now, or a penny today, two pennies tomorrow, four the next, etc." problem, email scammer Victor Saleebi, the supposed deposed Nigerian prince, gives us three offers: $1000 every week (linear growth), $1 in week 1, $2 in week 2, $3 in week 3, etc (quadratic growth), and $1 week 1, $2 week 2, $4 week 3, $8 week 4 (exponential growth).
Students have fun filling out tables for both money given in a week and total money received overall, finding patterns and seeing change. The challenge comes in writing equations for each of these scenarios, and the opportunities for exploration are endless. Exploring the rates of change, analyzing the tables, running regressions, comparing graphs, and solving equations are all ready to happen, whatever the teacher looks for. Even using Exel or Google Sheets are fantastic options I've employed in class, (but, sadly, can't share here).
This is not a "flipped" activity. There are no videos to watch, just learning to take place. It is the first lesson in my chapter on exponentials, which can be found here:
It's a truly wonderful way to introduce the topic of exponential change, have fun!!