# The oldest team in the NBA?

I attended Joel Bezaire‘s Sports Analytics session at TMC18. It was awesome! Joel has done an amazing job developing a curriculum based on Sports Analytics. I decided to share a lesson I did this past year involving sports. It’s nowhere near as good as Joel’s lessons, but I think it could be something with a little work.

One storyline during the 2017-18 NBA season involved the advanced age of the Cleveland Cavaliers roster. In October, ESPN’s Brian Windhorst published the article “Cavs the oldest in a long line of old LeBron teams.” The article contained the table shown below:

I presented this table and the article’s headline to my Integrated Math 1 students and asked them to Notice and Wonder. This was quite a few months ago, so I don’t really remember how the discussion went. We ended up talking about whether it made sense to use the average to determine the NBA’s oldest team. I proposed a roster consisting of three of my 14-year-old students, my pregnant colleague’s soon-to-be-born child, and one of my colleagues who I joked was 185. They quickly saw that this team’s average age would reveal very little about how old or young the team really was. We decided that we needed a better way to discuss a team’s age.

From this point, the lesson didn’t go how I had hoped. I gave every student or pair of students a team roster and told them that I wanted the class as a whole to find a way to compare team ages across the league. I provided the entire class with a single piece of poster paper that they could use to present the information using whatever representation they liked. Although I didn’t say it, my intention was for students to make a box plot for each team. If nothing else, I expected students to go beyond simply reporting an average age. The results were decidedly mixed. I think this task focused too heavily on calculation and representation, and it did not focus enough on thinking and discussion. Interestingly, several students told me then and later in the year that they really enjoyed getting to work with the NBA rosters. There’s definitely the potential for a good activity here; I just haven’t found it yet. Let me know if you have any ideas!