Encourage Math Discussion With This
We played a little "exponent war" today, inspired by a couple of pins I saw on Pinterest. I made a recording sheet, for each partner to record their exponential form and its value - you can download it by clicking the image.
I haven't allowed the students to use calculators to find the values of exponential expressions up to this point, but I did allow them to use them for this, because some of the numbers end up being so big! (We used the jacks, queens, and kings as 11, 12, and 13.) In my first class, we found that the calculator converted the values of expressions with large bases and large exponents to scientific notation. In my other classes, I explained the basics of scientific notation to the students before they began the activity and suggested that they might want to stick with bases and exponents less than 9. (My students haven't worked with scientific notation yet, but if they had, it would have been great to integrate that knowledge into the activity). Having the choice to stay under 9 or to use those larger numbers was a great opportunity for self-differentiation!
The students really enjoyed the activity and it was interesting to listen to their comments about how they knew which one was larger, before they actually calculated the values. They want to play a little longer tomorrow, so this was definitely a hit!