In this clip the teacher leads a discussion about what makes a situation exponential.
Introduction to Exponential Functions, Clip 1, 1:34
The students initially want to raise 2 to the 64th power, but then they decide it should be 63rd by looking at the first few squares. The teacher negotiates the conversation to get this to come out as opposed to telling the students.
A student asks about using a linear function to model the situation and the teacher gives a counterexample as to why linear would not work. The teacher uses this opportunity to start pointing out the difference between exponential relationships and linear relationships.
