If you would like to get in touch with me, please complete the information below:
MathMinds Blog by Kristin Gray is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Based on a work at https://mathmindsblog.wordpress.com/.
So, I was playing around with this a little bit. I thought – what does n^2 need to be multiplied by to equal 4n. n^2 needs to be multiplied by 4/n. Another way to write 4/n is 2 divided by (n/2). When n is even – the denominator is equal to a whole number, and it is the number which your student develops. It is a great pattern which your student noticed!!