In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 7, 2022.
Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.
Check out #MathStratChat on your favorite social media site and join in the conversation.
Hey fellow mathematicians. Welcome to the podcast where Math is Figure-Out-Able. I'm Pam Harris.Kim Montague:
And I'm Kim Montague.Pam Harris:
And this episode is a MathStratChat episode. What is that? Well, MathStratChat is a problem where I throw out every Wednesday evening to the world on Twitter, Facebook and Instagram. And people chat about the strategies they use. It is super cool to see everyone's thinking.Kim Montague:
Okay, so this Wednesday, our math problem was 594 divided by 12. How would you solve this problem? Go ahead and pause the podcast, solve it any way you want. Remember, the problem was 594 divided by 12. Solve it and then come back to hear how we solve it.Pam Harris:
All right, Kim, I'm gonna go first today.Kim Montague:
Because I feel like it. So.Kim Montague:
You're the boss.Pam Harris:
So 594 divided by 12. I'm thinking about twelves. So I'm thinking about twelves. And I said to myself, let me get a ballpark. And so I found 100 twelves was 1200. And I recognize that it was about double. So a half that to get 50 twelves, as 600. But I'm over, 600 is just a bit over 594. So I asked myself that all important question, "How far over am I?" I was six over. So then I thought, well, how can I get from 12 to six? And that would be a half. A half of 12 is six. So I'm too far over. So, I'm half over from that. 50. And so 50 minus a half is 49.5 or 49 and a halfKim Montague:
Yeah. Okay, well, that's good. That's what I got too, so.Pam Harris:
You got the same answer. Is that the same strategy you used?Kim Montague:
There are some similarities for sure. I think the way I thought about it was a little bit different. Some of the relationships I use maybe a little different.Pam Harris:
So I also, well, I started off by thinking I see the 600, near the 594. And so I just immediately wrote down 600 divided by 12 is 50. And the reason that I know that is because I know that five twelves is 60. So it must be true that 50 twelves is 600. So I wrote down 600 divided by 12 is 50. And then again, like you said, a little over and I asked how far over, was six over. So then I wrote down six divided by 12 is half. And so if I want to subtract half from the 50, then I got 49.5.Pam Harris:
Nice. So interesting. Now that I'm looking back on the work, I've like flooded with all sorts of other relationships. I almost kind of wish I would have seen that once I was asking about twelves if I would have taken a half of 12. So like if I was in a ratio table, and I've got one to 12. And then when half of 12 would be six, then I could scale from that point five up to get the 50 twelves as 600. That would have been a different way to get. Yeah, seems that kind of screaming at me. Can I say one other thing that screaming at me?Kim Montague:
Well, I have in mind what you did. I don't know if it was last week or the week before where you were talking about something like 600 divided by 12. I think this is what you were saying that you said if 1200 divided by 12 is 100. Then 600 divided by 12 would be 50. Was that you? Maybe that was you.Kim Montague:
I mean (unclear) here.Pam Harris:
I'm thinking about - I've talked to a lot of people on social media - I'm thinking a lot about if I can think of one ratio, like there's equivalent ratios. Right? Where we can think about like, I don't know. Yeah, equivalent ratios, but in this case, 600 divided by 12, the relationship between 1200 divided by 12 and 600 divided by 12. That's something I'm working on when the divisor is the same. But the dividend's different. That's interesting, what the relationship is. Anyway, I'll stop talking about it, but it's definitely something I'm thinking about is that relationship.Kim Montague:
That's super fun. All right. We can't wait to see what everybody else did and what their strategies looked like. I wonder if you were thinking like Pam or me or something completely different. represent your thinking and take a picture of your work or screenshot your phone. Tell the world on social media and while you're there, check out what other people did and comment on their thinking too.Pam Harris:
Yeah, tag me on Twitter @PWHarris or Instagram Pam Harris_math or on Facebook, Pam Harris, author, mathematics education. And make sure use the#MathStratChat. And make sure you check out the next MathStratChat problem that will post on Wednesday around 7pm Central Time and hop back here to hear what we're thinking about or how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement. Let's keep spreading the word that Math is Figure-Out-Able.