Pam 00:00
Hey, fellow mathematicians! Welcome to the podcast where Math is Figure-Out-Able. I'm Pam Harris.
Kim 00:06
And I'm Kim Montague.
Pam 00:07
And this episode is a MathStratChat episode. What is MathStratChat? Well, every Wednesday evening, I throw out a math problem on social media, people from around the world chat about the strategies they use. It is super to see everyone's thinking.
Kim 00:21
Okay, so this Wednesday, our math problem was 1,683 divided by 33. How would you solve this problem? Pause the podcast. Solve it however you want. The problem is 1,683 divided by 33. Solve it, and then come back to here how we're going to solve it.
Pam 00:37
Bam! Alright, Kim, I'm going to go first.
Kim 00:40
Okie doke.
Pam 00:40
So, I'm thinking about 33s. And I'm thinking about one hundred 33s is 3,300. So, I don't know if you care, but I'm in a ratio table. So, I just wrote down 1 to 33, 100 to 3,300. And then, I'm going to Halve that to get 50. And I actually have to think about this for a second because half of 3,000 is 1,500. And I'm going to add that 1,500 to the 150, which is a half a 300. So, that's 1,650. I did that in my head. Did I do that, right? Yes, yes. Okay. Whoa! Alright, so now I'm close. 1,650 is close to 1,683. And I'm asking myself how close, and it happens to be nicely, 1 unit. Nice problem today. One 33 away. And I'm just 33 under, so I'm going to add 33 to 1,650 to get 1,683. And I'm going to add 1 to 50 to get 51. So, I think the answer is 51.
Kim 01:41
Okay. Well, you stole the way that I was going to do it.
Pam 01:44
Oh, man.
Kim 01:45
No, it's fine. So, I'm just, you know, I'm going to do a problem kind of on the fly. I haven't thought about it at all. But I'm thinking the other way to think about division. And so, I wrote 1,683 "line" 33. (unclear).
Pam 02:01
Like a fraction kind of, mmhmm.
Kim 02:03
Yeah. And I was thinking, "Okay, 33s. What factors of 33 will work?" So, I was thinking like, "I'll pull out 3." And so, I'm going to scale down both numbers by 3. So, 33 parts. Easy. So, that's 11. And so, if I'm going to divide 1,683 by 3, I'm going to say, "Okay, I know 1500 by 3 is 500. And 180 divided by 360. And 3 divided by 3 is 1. So, I've now got 561 divided by 11. I don't really love it. So, I'm going to get with...
Pam 02:47
Hang on a second. Sorry, I got lost.
Kim 02:49
Okay.
Pam 02:49
You did 1,500 divided by 3 is 500. And then, you were left over with 183 divided by 3.
Kim 02:54
183. Mmhmm. Sorry, Yeah.
Pam 02:55
And that was 61. Oh, okay. So, now you have 561 divided by 11.
Kim 03:00
Yeah, which is kind of gross.
Pam 03:01
Is that right?
Kim 03:01
Yeah.
Pam 03:02
Well, okay, so then there's this 11 thing happening, which I'm only just starting to play with.
Kim 03:08
Okay, well, do you want me to tell you what I was going to do? Okay, so then I was thinking like, what elevens do I know.
Pam 03:14
Oh, nice.
Kim 03:15
So, I thought, "Well, I know 550 divided by 11 would be 50." So, like, as I'm staring at the 561, I'm thinking of it as 550 and 11.
Pam 03:28
You are so good.
Kim 03:29
And so, I got 50 and the same 1. 51.
Pam 03:33
And the 1 left over because you have an extra 11 leftover. 11 divided by (unclear).
Kim 03:36
Yeah. That wasn't as bad as I thought it was going to be.
Pam 03:38
Whoa! Nicely done. Cool.
Kim 03:41
Alright. Okay, so we can't wait to see your math strategy. I wonder if your strategy was like one of ours or something entirely different. Try to represent your thinking, and take a picture of your work or screenshot on your phone, and tell the world on social media. And while you're there, the best thing to do is check out what other people did and comment on their thinking because they have so much good stuff to share.
Pam 04:02
Yeah, and tag me on Twitter at @PWHarris. Or Instagram, PamHarris_math. And Facebook, Pam Harris, author mathematics education. And use the hashtag MathStratChat. And make sure you check out the MathStratChat problem that we'll post every Wednesday evening, and then pop back here to hear how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement.