## What Can You Do With This: The $6400 Question

December 28th, 2009 by Dan Meyer

I’m not claiming any kind of rigorous activity here. This is just a cute clip from *Parks and Recreation*, the best American comedy on TV right now, that begs one, maybe two good questions. I’ll throw this on an opener.

Click through to view embedded content.

What useful questions could we ask here?

on 28 Dec 2009 at 12:08 pm1 Jenhmmmm…before I saw the whole clip I thought it might be about angles since it was talking about pool. But the first question that came to mind was how many games did they play so that he owed $6400. Not sure how ‘high level’ that one is though! :)

on 28 Dec 2009 at 12:13 pm2 Kate NowakThis _is_ cute, and totally slipped by me even though I watch this show. Obvs there’s “How many games did they play?” Which in my experience the kids will want to make a little table and count the games and wash their hands of it… The question I have for you hs math teacher types is how to extend the inquiry into a compelling problem requiring the generalization (an exponential function). So they internalize and nimbly deploy that abstract tool in other situations. I’m not very good at that part. Good catch, Meyer.

on 28 Dec 2009 at 12:25 pm3 HemantIf they played 9 games, how much did they bet on the first game?

Suppose they bet $25 on the first game. How many games did they just play?

If each game lasted 10 minutes, how much time did they spend playing pool? Is that realistic?

What’s the equation that would calculate the amount of money made in terms of games played?

If Mr. Meyer was the “failed architect” character, how many games would he have to win to match his teaching salary for the year? :)

on 28 Dec 2009 at 12:48 pm4 CraigHow much money would Andy owe if he lost n games?

on 28 Dec 2009 at 1:08 pm5 Terry KaminskiGreat little clip!!! Just might have to show it to my Gr.12 students on first day back after Christmas break to get their minds going.

I like the questions that Hemant possed.

Thanks for sharing!!!

on 28 Dec 2009 at 1:14 pm6 Dan Meyer@

Kate, at first I was like, “ohpleaseohplease let them have screwed up the math.”I think

Craigtakes a brute force approach to your “how do we get them to generalize this?” question. I’m drawn more toHemant’sfinal question, though, where you give a number large enough that tables would be drag and a half. (I’m not sure my yearly salary is that number, however.)@

Jen, you’re right. The question isn’t much more rigorous than “Solve: 25*2^(x-1)=6400,” except (1) the student has to develop the model rather than simply receive it and (2) whenever I have the chance to swap out a dinky opener problem for a cute excerpt from pop culture I tend not to think twice. Gimme, etc.Hemanthas the other question that occured to me: could you reasonably play nine games in a night? Take estimates from the class on the length of an average game of pool, compute, debate.N.B. The jump cut to “… that would be $6,400 … ” is so great. Kills me every single time. Watch

Parks and Recreation.on 29 Dec 2009 at 12:56 am7 D.C. HessI would beg to differ. 30 Rock is the best comedy on American television.

What can you do with it? How ’bout using it as an opener for a discussion about the ramifications of non-commercial gambling? (For a social studies slant).

on 29 Dec 2009 at 7:40 am8 DustinDan,

I absolutely will spend as much time as possible going through your old posts. I have just finished my first semester of teaching Algebra II and Geometry after being an engineer for 15 years and am enthralled with your ideas and your approach. In fact, I am hoping it is not too late to tear down everything I did during the first semester and try to use your concept-based assessment techniques in the second semester.

Thank you.

on 29 Dec 2009 at 2:45 pm9 Dan Meyer@

D.C., empirically speaking,The Officeand30 Rockhave both had uneven seasons whileParks and Recreationhas had the best sophomore season since, well,The Office.Regardless, the fact that my top three ranking, as of today reads

1.

Parks and Recreation2.

The Office3.

30 Rockwith

Communitysomewhere in the top eight, bodes really well for NBC right now.on 30 Dec 2009 at 4:30 am10 John SpencerFinally, someone agrees. The best show on television. 30 Rock and The Office were both great. “Were” is the key. Now, it’s Parks and Recreation and Modern Family.

Anyway, I enjoy your blog. I’ve been reading it for some time. I enjoy the way you bridge the personal and the classroom all with the focus on learning at all times.

on 30 Dec 2009 at 10:23 am11 CaricoI will have to check out the show. Sounds like it would be funny and I love a good laugh

on 30 Dec 2009 at 2:32 pm12 Jeffery HeapAll great shows, television *gasp* is slowly getting better? Great blog sir!

on 17 Jan 2010 at 4:52 pm13 Neel PatelDan, this clip was brilliant. I used it that first week back from break – 98% of my students were hooked and actually were doing some math!!! Just brilliant.

on 17 Jan 2010 at 5:27 pm14 Dan MeyerOh nice! That’s fun to hear.

on 23 Jan 2010 at 12:13 am15 CliffOk, one of the big ideas that I can come up with is What are the possible first bets so that if they continued the “double or nothing” idea they would eventually end up at 6400 dollars?

That’s not an easy question, but leads toward a great idea about numeracy. The importance of prime factorization and uniqueness is something that continually passes our students by.

We hope that soon students would understand that to find all the possible solutions they should repeatedly divide 6400 by 2. This idea that they would surely come up with by themselves is one of the great ideas in algebra. That division is the opposite of multiplication is often taught, but multiplication by a half is often neglected. fractional multiplication causes problems, but it shouldn’t. Especially multiplication by quantities of the form 1/n.

This could lead in all sorts of questions, depending on the question asked.

on 02 Jul 2013 at 5:23 am16 Parks and Recreation Pool | WNCP Orchestrated Experiences for High School Math[...] the video from Dan’s blog and play it for your [...]