[00:00:01.000] - Pam
Hey, fellow math-ers! Welcome to the podcast where Math is Figure-Out-Able. I'm Pam Harris.

[00:00:07.840] - Kim
And I'm Kim Montague.

[00:00:09.200] - Pam
And this episode is a MathStratChat episode where we chat about our math strategies. Every Wednesday evening, I throw out a math problem on social media and people from around the world chat about the strategies they use and comment on each other's thinking.

[00:00:22.240] - Kim
Okay, so this Wednesday our problem was 28.8 divided by 1.6. How would you like to solve this problem? Pause the podcast, solve it before you tune in to how we're solving it. It's 28.8 divided by 1.6.

[00:00:37.080] - Pam
Alright, Kimberly.

[00:00:38.540] - Kim
Yes, ma'am. Do you want to go first or do you want me to?

[00:00:41.110] - Pam
You go ahead.

[00:00:42.450] - Kim
Okey doke. So, the first thing I'm going to do is call it 288 divided by 16.

[00:00:47.930] - Pam
Okay.

[00:00:48.800] - Kim
I don't know why. I'm just not feeling it today. So, I.

[00:00:53.160] - Pam
You scaled up both by 10 to find the equivalent ratio. Okay.

[00:00:55.940] - Kim
Yeah. But I'm actually at that point not going to think about equivalent ratios. I'm going to say first I was thinking 10 times 16, but I'm actually going to go 20 times 16 would be 320.

[00:01:10.870] - Pam
Okay.

[00:01:11.130] - Kim
I'm going to go a little Over, and now I got to figure out how much Over.

[00:01:15.190] - Pam
20 and 12.

[00:01:15.950] - Kim
Oh, that's nice, it's 32 over. So, then I'm going to subtract 216, which is 32. So, I think it's eighteen 16s is 288.

[00:01:29.810] - Pam
Which means eighteen 1.6s is 28.8.

[00:01:34.130] - Kim
Correct.

[00:01:34.790] - Pam
Nice. Okay, cool. So, I also started with 28.8 divided by 16. And I wrote it as a ratio. And I actually wrote 288 divided by 16. So, when I wrote the ratio, I'd already scaled up by 10.

[00:01:50.290] - Kim
Mmhm.

[00:01:50.360] - Pam
And then I decided to divide by 4 because 28, I can do that. 28 divided by... Like, 280 divided by 4. So, 280 divided by 4 is 70. And that extra 8 divided by 4 is 2. So, 74... Or 72, sorry. 288 divided by 4 is 72. 16 divided by 4 is 4. Okay, now that I'm there. 72 divided by 4. Kim, I'm going to try the thing that I'm still trying to get good at.

[00:02:19.590] - Kim
Okay.

[00:02:20.280] - Pam
I know what 72 divided by 8 is. 72 divided by 8 is 9. But I need to know 72 divided by groups that are half as big. If the group is half as big, not 8 groups, just 4 groups, then what's in them has to be twice as big. I have to have twice as many in the groups. That would be twice 9 is 18.

[00:02:44.640] - Kim
Nice.

[00:02:45.770] - Pam
How would you describe that? Using 72 divided by 8 to think about 72 divided by 4?

[00:02:50.720] - Kim
Yeah, I think pretty similar to what you did is if it were 72 divided by 8, then there would be 9 in each group.

[00:02:57.670] - Pam
Uh-huh.

[00:03:00.490] - Kim
But I have less groups, so I need more in each group.

[00:03:09.390] - Pam
Yeah. You know what's funny? The reason I just chuckled. It wasn't what you were saying. It was the fact that I could have just divided 72 divided by 2 is 6. Uh, 36. And 4 divided by 2 is 2. And I know 36 divided by 2 is 18. That's funny.

[00:03:22.050] - Kim
Yeah. But you know what?

[00:03:22.950] - Pam
I wanted to play.

[00:03:24.210] - Kim
But in the same way...

[00:03:25.150] - Pam
But playing was fun.

[00:03:25.870] - Kim
Yeah, but in the same way that you could have done divided by 2 divided by 2, you went straight to divided by 4, which I think is pushing you to think about, like, I don't just have to keep doing divided by 2, divided by 2, you know?

[00:03:37.750] - Pam
Yeah, yeah. That's exactly what I'm doing.

[00:03:39.350] - Kim
Yeah. Nice. Alright. We can't wait to see what you do every week. Join us on MathStratChat and let us know how you're thinking about the problems. And then comment on each other's strategies.

[00:03:48.640] - Pam
We love it when you do that. Y'all, I'll post the problems on Wednesdays around 7:00 p.m. Central. When you answer, tag me and use the hashtag #MathStratChat. It's funny, Kim. I will meet people at conferences and stuff and they'll say, "Hey, I do your StratChat." And I'm like, "It's MathStratChat," but it's fine. Then join us here to hear how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement. Math is Figure-Out-Able!