Video: 9.999...reasons 0.9999...=1 by ViHart

As we explore the world of fractions, decimals, and percents, the sixth graders have stumbled into the annual debate about whether 0.9999...repeating is equal to one. I enjoy hearing their reasons for both sides and how passionate they get about their point of view.  To wrap up the debate, I share this definitive video about why 0.999.... is equal to one. It is the work of one of my favorite YouTube stars, ViHart.  If you have not had the pleasure of experiencing ViHart, enjoy. I recommend just letting the experience wash over you first, then go back for a closer look on the second time round. Or third....

Does she convince you? 

8A: The Banach-Tarski Parody

My classes quickly learn that I am easily side-tracked by interesting math ideas and conversations. This VSauce video was sent to me by a student and I felt compelled to share it with the rest of the class. In the last two years, we have tackled the concept of infinite, on multiple occasions. This video does a tremendous job of simplifying this abstract and complex idea. Our brains were stretched and I loved the interesting ideas it generated in class. I hope if you are interested in learning more, you will check out the links on the YouTube page and the many books referenced at the end of the video.

Thank you to JP for sharing this video with me and the rest of the class!