1. Paper Folding Experiment How many times can you fold a piece of paper? Who can do it the most? Is this the physical limit? https://www.youtube.com/watch?v=AmFMJC4 5f1Q

2.  Is the relationship between the number of folds and number of regions quadratic? ◦ No, it is related by a function y = 2 x ◦ This equation is exponential, not quadratic ◦ Remember, “quadratic” means power of 2

3. EXPONENTIAL Not symmetric Growth keeps increasing Never Negative y = 2 x QUADRATIC Growth and decline are symmetric Can be positive or negative y = x 2

4.  Will the graph of an exponential curve ever touch the x-axis?  What happens to the y-values as x gets more negative?  In the relations y=x 2 and y=2 x, are the y- values ever negative?  Other examples of exponential equations:  y = 3 x (something that keeps tripling)  y = 4 x (something that keeps quadrupling)

6.  Bill Nye The Science Guy – Populations  https://www.youtube.com/watch?v=0R09WLl Dmjc