{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":0.96,"endTime":4.11,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":0.96,"endTime":4.11,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.11,"endTime":6.63,"body":"Math is Figure-Out-Able! I'm"},{"speaker":"Pam","startTime":4.11,"endTime":6.63,"body":"Pam."},{"speaker":"Kim","startTime":7.17,"endTime":7.92,"body":"And I'm Kim."},{"speaker":"Pam","startTime":8.67,"endTime":12.45,"body":"And this episode is a"},{"speaker":"Pam","startTime":8.67,"endTime":12.45,"body":"MathStratChat episode. What is"},{"speaker":"Pam","startTime":12.48,"endTime":14.97,"body":"MathStratChat? Well, every"},{"speaker":"Pam","startTime":12.48,"endTime":14.97,"body":"Wednesday evening, I throw out a"},{"speaker":"Pam","startTime":14.97,"endTime":18.48,"body":"math problem on social media and"},{"speaker":"Pam","startTime":14.97,"endTime":18.48,"body":"people from around the world"},{"speaker":"Pam","startTime":18.48,"endTime":22.62,"body":"chat about the strategies they"},{"speaker":"Pam","startTime":18.48,"endTime":22.62,"body":"use. We love seeing everyone's"},{"speaker":"Pam","startTime":22.62,"endTime":22.98,"body":"thinking."},{"speaker":"Kim","startTime":23.49,"endTime":27.06,"body":"So, this Wednesday, our"},{"speaker":"Kim","startTime":23.49,"endTime":27.06,"body":"math problem was eleven-twelfths"},{"speaker":"Kim","startTime":27.24,"endTime":30.78,"body":"minus two-thirds. How will you"},{"speaker":"Kim","startTime":27.24,"endTime":30.78,"body":"solve this problem? Pause the"},{"speaker":"Kim","startTime":30.78,"endTime":33.66,"body":"podcast, solve it any way you"},{"speaker":"Kim","startTime":30.78,"endTime":33.66,"body":"want. The problem is"},{"speaker":"Kim","startTime":33.75,"endTime":36.63,"body":"eleven-twelfths minus"},{"speaker":"Kim","startTime":33.75,"endTime":36.63,"body":"two-thirds. Solve it, and then"},{"speaker":"Kim","startTime":36.63,"endTime":38.43,"body":"come back to hear how we solve"},{"speaker":"Kim","startTime":36.63,"endTime":38.43,"body":"it."},{"speaker":"Pam","startTime":39.39,"endTime":42.18,"body":"Alright, Kim, you're up"},{"speaker":"Pam","startTime":39.39,"endTime":42.18,"body":"first today. How did you solve"},{"speaker":"Pam","startTime":42.36,"endTime":45.18,"body":"eleven-twelfths minus two... No."},{"speaker":"Pam","startTime":42.36,"endTime":45.18,"body":"Yeah, two-thirds."},{"speaker":"Kim","startTime":45.48,"endTime":52.92,"body":"Yeah, so eleven-twelfths"},{"speaker":"Kim","startTime":45.48,"endTime":52.92,"body":"just screams a clock to me. And"},{"speaker":"Kim","startTime":52.95,"endTime":56.58,"body":"I know I've kind of used that"},{"speaker":"Kim","startTime":52.95,"endTime":56.58,"body":"strategy for a couple of weeks"},{"speaker":"Kim","startTime":56.58,"endTime":59.82,"body":"now, but it's just what comes"},{"speaker":"Kim","startTime":56.58,"endTime":59.82,"body":"naturally. So, if I'm thinking"},{"speaker":"Kim","startTime":59.82,"endTime":64.44,"body":"about twelve-twelfths, that's"},{"speaker":"Kim","startTime":59.82,"endTime":64.44,"body":"the whole clock. It's all 60"},{"speaker":"Kim","startTime":64.44,"endTime":64.92,"body":"minutes."},{"speaker":"Pam","startTime":64.92,"endTime":64.95,"body":"Mmhmm."},{"speaker":"Kim","startTime":65.22,"endTime":67.95,"body":"So, then, eleven-twelfths"},{"speaker":"Kim","startTime":65.22,"endTime":67.95,"body":"would just be back 5 minutes, so"},{"speaker":"Kim","startTime":67.95,"endTime":69.39,"body":"that's 55 minutes."},{"speaker":"Pam","startTime":69.9,"endTime":69.93,"body":"Mmhmm."},{"speaker":"Kim","startTime":69.96,"endTime":73.47,"body":"There's the Over that I"},{"speaker":"Kim","startTime":69.96,"endTime":73.47,"body":"like to do. And then, two-thirds"},{"speaker":"Kim","startTime":73.5,"endTime":78.06,"body":"I know is 40 minutes. So, it's"},{"speaker":"Kim","startTime":73.5,"endTime":78.06,"body":"just 50 minutes. So 55 minutes"},{"speaker":"Kim","startTime":78.06,"endTime":85.56,"body":"minus 40 minutes is 15 minutes,"},{"speaker":"Kim","startTime":78.06,"endTime":85.56,"body":"which is equivalent to 3 out of"},{"speaker":"Kim","startTime":85.56,"endTime":88.59,"body":"12, which is one-fourth."},{"speaker":"Pam","startTime":90.36,"endTime":94.2,"body":"And when you said 50"},{"speaker":"Pam","startTime":90.36,"endTime":94.2,"body":"minutes is equivalent to 3 out"},{"speaker":"Pam","startTime":94.2,"endTime":94.98,"body":"of 12."},{"speaker":"Kim","startTime":95.31,"endTime":97.2,"body":"Wait, wait, wait. 15. 15"},{"speaker":"Kim","startTime":95.31,"endTime":97.2,"body":"minutes."},{"speaker":"Pam","startTime":97.8,"endTime":98.82,"body":"What did I? Whatever I"},{"speaker":"Pam","startTime":97.8,"endTime":98.82,"body":"said."},{"speaker":"Kim","startTime":98.85,"endTime":98.91,"body":"Yeah."},{"speaker":"Pam","startTime":98.91,"endTime":100.62,"body":"That's what I meant. That's"},{"speaker":"Pam","startTime":98.91,"endTime":100.62,"body":"what I meant."},{"speaker":"Kim","startTime":100.62,"endTime":100.83,"body":"Okay."},{"speaker":"Pam","startTime":101.43,"endTime":104.43,"body":"When you said 15 minutes is"},{"speaker":"Pam","startTime":101.43,"endTime":104.43,"body":"equivalent to 3 out of 12, how"},{"speaker":"Pam","startTime":104.43,"endTime":105.42,"body":"did you know that?"},{"speaker":"Kim","startTime":106.29,"endTime":110.76,"body":"Because if I'm thinking"},{"speaker":"Kim","startTime":106.29,"endTime":110.76,"body":"about a 3 on a clock, and then a"},{"speaker":"Kim","startTime":110.76,"endTime":114.18,"body":"hand being on 3 on a clock, then"},{"speaker":"Kim","startTime":110.76,"endTime":114.18,"body":"that is 15 minutes out of the 60"},{"speaker":"Kim","startTime":114.18,"endTime":114.72,"body":"minutes."},{"speaker":"Pam","startTime":114.99,"endTime":117.93,"body":"Gotcha. So, you didn't"},{"speaker":"Pam","startTime":114.99,"endTime":117.93,"body":"actually write down 15 fraction"},{"speaker":"Pam","startTime":117.93,"endTime":118.83,"body":"bar 60."},{"speaker":"Kim","startTime":118.89,"endTime":119.43,"body":"No."},{"speaker":"Pam","startTime":119.46,"endTime":122.19,"body":"And then, equivalent to"},{"speaker":"Pam","startTime":119.46,"endTime":122.19,"body":"3/12. So, you said 15 minutes. I"},{"speaker":"Pam","startTime":122.19,"endTime":124.62,"body":"know where that is. It's on"},{"speaker":"Pam","startTime":122.19,"endTime":124.62,"body":"those 3 out of 12."},{"speaker":"Kim","startTime":124.92,"endTime":125.25,"body":"Yep."},{"speaker":"Pam","startTime":125.28,"endTime":128.49,"body":"Cool. And then, I'm a"},{"speaker":"Pam","startTime":125.28,"endTime":128.49,"body":"little curious. When you saw a 3"},{"speaker":"Pam","startTime":128.52,"endTime":130.98,"body":"out of the 12, did you say to"},{"speaker":"Pam","startTime":128.52,"endTime":130.98,"body":"yourself, \"Oh, that's a quarter"},{"speaker":"Pam","startTime":130.98,"endTime":131.43,"body":"of an hour.\""},{"speaker":"Kim","startTime":132.9,"endTime":137.85,"body":"Yes. Well, I thought about"},{"speaker":"Kim","startTime":132.9,"endTime":137.85,"body":"the three 5 minute chunks, and"},{"speaker":"Kim","startTime":137.85,"endTime":140.31,"body":"so I just know 15 minutes is a"},{"speaker":"Kim","startTime":137.85,"endTime":140.31,"body":"quarter of an hour."},{"speaker":"Pam","startTime":140.52,"endTime":141.69,"body":"Yep. Yep. Cool."},{"speaker":"Kim","startTime":141.69,"endTime":142.62,"body":"Yep. Would did you do?"},{"speaker":"Pam","startTime":142.62,"endTime":146.358,"body":"Okay, I thought about the"},{"speaker":"Pam","startTime":142.62,"endTime":146.358,"body":"eleven-twelfths similar to you,"},{"speaker":"Pam","startTime":146.423,"endTime":150.096,"body":"but I... Kind of. I didn't"},{"speaker":"Pam","startTime":146.423,"endTime":150.096,"body":"really back up 5 minutes from"},{"speaker":"Pam","startTime":150.162,"endTime":154.359,"body":"the hour. I thought about the 11"},{"speaker":"Pam","startTime":150.162,"endTime":154.359,"body":"on a clock. So, I just pictured"},{"speaker":"Pam","startTime":154.425,"endTime":158.491,"body":"the minute hand on the 11, and"},{"speaker":"Pam","startTime":154.425,"endTime":158.491,"body":"then I thought about two-thirds"},{"speaker":"Pam","startTime":158.557,"endTime":162.754,"body":"of an hour as the peace sign. I"},{"speaker":"Pam","startTime":158.557,"endTime":162.754,"body":"kind of think about that as like"},{"speaker":"Pam","startTime":162.82,"endTime":166.427,"body":"cutting the... I just realized"},{"speaker":"Pam","startTime":162.82,"endTime":166.427,"body":"I'm jiggling my pen, and"},{"speaker":"Pam","startTime":166.493,"endTime":170.493,"body":"sometimes it makes loud noises,"},{"speaker":"Pam","startTime":166.493,"endTime":170.493,"body":"and our editor was telling me"},{"speaker":"Pam","startTime":170.559,"endTime":174.494,"body":"the other day, \"Don't jiggle"},{"speaker":"Pam","startTime":170.559,"endTime":174.494,"body":"your pen. Sorry, editor.\" So, I"},{"speaker":"Pam","startTime":174.56,"endTime":178.823,"body":"thought about that two-thirds of"},{"speaker":"Pam","startTime":174.56,"endTime":178.823,"body":"an hour as being on the 8. Yeah,"},{"speaker":"Pam","startTime":178.888,"endTime":182.889,"body":"the minute hand was on the 8."},{"speaker":"Pam","startTime":178.888,"endTime":182.889,"body":"So, if I've got the minute hand"},{"speaker":"Pam","startTime":182.955,"endTime":186.496,"body":"on the 8, that's like 8 out of"},{"speaker":"Pam","startTime":182.955,"endTime":186.496,"body":"12. So, then, I thought"},{"speaker":"Pam","startTime":186.562,"endTime":190.235,"body":"eleven-twelfths subtract"},{"speaker":"Pam","startTime":186.562,"endTime":190.235,"body":"eight-twelfths. And I literally"},{"speaker":"Pam","startTime":190.3,"endTime":194.301,"body":"pictured the minute hand on the"},{"speaker":"Pam","startTime":190.3,"endTime":194.301,"body":"8, and the minute hand on the"},{"speaker":"Pam","startTime":194.366,"endTime":198.63,"body":"11, and I thought there's three"},{"speaker":"Pam","startTime":194.366,"endTime":198.63,"body":"5 minute chunks in between those."},{"speaker":"Kim","startTime":199.02,"endTime":199.26,"body":"Nice."},{"speaker":"Pam","startTime":199.26,"endTime":201.63,"body":"In other words, it's almost"},{"speaker":"Pam","startTime":199.26,"endTime":201.63,"body":"like an elapsed time thing. If I"},{"speaker":"Pam","startTime":201.63,"endTime":204.93,"body":"knew that I was at the 40"},{"speaker":"Pam","startTime":201.63,"endTime":204.93,"body":"minutes, or at that 8, then you"},{"speaker":"Pam","startTime":204.93,"endTime":207.63,"body":"know the hand was on the 40"},{"speaker":"Pam","startTime":204.93,"endTime":207.63,"body":"minute. And I knew that I had to"},{"speaker":"Pam","startTime":207.63,"endTime":212.31,"body":"be somewhere by five till,"},{"speaker":"Pam","startTime":207.63,"endTime":212.31,"body":"that's like the 11. Does that"},{"speaker":"Pam","startTime":212.31,"endTime":212.97,"body":"make sense?"},{"speaker":"Kim","startTime":213.45,"endTime":213.48,"body":"Mmhmm."},{"speaker":"Pam","startTime":213.51,"endTime":218.58,"body":"So, to get from 40 minutes"},{"speaker":"Pam","startTime":213.51,"endTime":218.58,"body":"to 55 minutes, I've got 15"},{"speaker":"Pam","startTime":218.58,"endTime":220.59,"body":"minutes. \"Ooh, I got a quarter"},{"speaker":"Pam","startTime":218.58,"endTime":220.59,"body":"of an hour to get there.\""},{"speaker":"Kim","startTime":220.59,"endTime":221.04,"body":"Yeah."},{"speaker":"Pam","startTime":221.16,"endTime":223.14,"body":"So, I kind of thought about"},{"speaker":"Pam","startTime":221.16,"endTime":223.14,"body":"the difference between them."},{"speaker":"Kim","startTime":223.38,"endTime":226.86,"body":"Yes. Oh, that's so nice"},{"speaker":"Kim","startTime":223.38,"endTime":226.86,"body":"because we did a subtraction"},{"speaker":"Kim","startTime":226.86,"endTime":230.31,"body":"problem last week? The week"},{"speaker":"Kim","startTime":226.86,"endTime":230.31,"body":"before? I don't know. But we"},{"speaker":"Kim","startTime":230.31,"endTime":233.22,"body":"both removed, and I removed"},{"speaker":"Kim","startTime":230.31,"endTime":233.22,"body":"again this time (unclear)"},{"speaker":"Pam","startTime":233.49,"endTime":234.24,"body":"Yeah."},{"speaker":"Kim","startTime":234.24,"endTime":235.98,"body":"(unclear) the distance"},{"speaker":"Kim","startTime":234.24,"endTime":235.98,"body":"between them. (unclear)."},{"speaker":"Pam","startTime":236.01,"endTime":237.54,"body":"Yeah, I was kind of"},{"speaker":"Pam","startTime":236.01,"endTime":237.54,"body":"thinking about like getting"},{"speaker":"Pam","startTime":237.66,"endTime":240.87,"body":"from... Yeah, I often think"},{"speaker":"Pam","startTime":237.66,"endTime":240.87,"body":"about elapsed time that way"},{"speaker":"Pam","startTime":240.87,"endTime":243.84,"body":"we're like, \"Oh, I have to be"},{"speaker":"Pam","startTime":240.87,"endTime":243.84,"body":"there 5 minutes, you know,"},{"speaker":"Pam","startTime":243.84,"endTime":246.48,"body":"before the thing starts, so that"},{"speaker":"Pam","startTime":243.84,"endTime":246.48,"body":"I'm not walking in late,\" or"},{"speaker":"Pam","startTime":246.48,"endTime":249.66,"body":"whatever. So, then, \"How much"},{"speaker":"Pam","startTime":246.48,"endTime":249.66,"body":"time do I have? Travel time?"},{"speaker":"Pam","startTime":249.66,"endTime":251.37,"body":"Okay. When do I need to leave?\""},{"speaker":"Pam","startTime":249.66,"endTime":251.37,"body":"You know like, sort of..."},{"speaker":"Kim","startTime":251.37,"endTime":251.58,"body":"Yeah."},{"speaker":"Pam","startTime":251.61,"endTime":253.71,"body":"...difference between those"},{"speaker":"Pam","startTime":251.61,"endTime":253.71,"body":"two times."},{"speaker":"Kim","startTime":253.71,"endTime":254.31,"body":"Very cool."},{"speaker":"Pam","startTime":254.58,"endTime":254.79,"body":"Nice."},{"speaker":"Kim","startTime":254.79,"endTime":258.54,"body":"Awesome. Very good."},{"speaker":"Kim","startTime":254.79,"endTime":258.54,"body":"Alright, so we can't wait to see"},{"speaker":"Kim","startTime":258.54,"endTime":262.26,"body":"your strategy. I wonder if you"},{"speaker":"Kim","startTime":258.54,"endTime":262.26,"body":"were like Pam and maybe even"},{"speaker":"Kim","startTime":262.26,"endTime":265.62,"body":"found the distance between your"},{"speaker":"Kim","startTime":262.26,"endTime":265.62,"body":"subtraction problem, or like"},{"speaker":"Kim","startTime":265.62,"endTime":268.8,"body":"mine and you removed in some"},{"speaker":"Kim","startTime":265.62,"endTime":268.8,"body":"way, or something entirely"},{"speaker":"Kim","startTime":268.8,"endTime":271.71,"body":"different. Represent your"},{"speaker":"Kim","startTime":268.8,"endTime":271.71,"body":"thinking, take a picture of your"},{"speaker":"Kim","startTime":271.71,"endTime":274.44,"body":"work or screenshot your phone,"},{"speaker":"Kim","startTime":271.71,"endTime":274.44,"body":"and tell the world on social"},{"speaker":"Kim","startTime":274.44,"endTime":277.05,"body":"media. And while you're there,"},{"speaker":"Kim","startTime":274.44,"endTime":277.05,"body":"check out what other people did"},{"speaker":"Kim","startTime":277.2,"endTime":278.43,"body":"and comment on their thinking."},{"speaker":"Pam","startTime":278.61,"endTime":279.81,"body":"Yeah, because the"},{"speaker":"Pam","startTime":278.61,"endTime":279.81,"body":"commenting is"},{"speaker":"Pam","startTime":279.81,"endTime":282.09,"body":"super fun, right? Like, tell"},{"speaker":"Pam","startTime":279.81,"endTime":282.09,"body":"people what you thought about"},{"speaker":"Pam","startTime":282.09,"endTime":286.11,"body":"theirs, that encourages more"},{"speaker":"Pam","startTime":282.09,"endTime":286.11,"body":"people to put their solutions in"},{"speaker":"Pam","startTime":286.29,"endTime":289.68,"body":"because they're getting"},{"speaker":"Pam","startTime":286.29,"endTime":289.68,"body":"feedback. And while you're at"},{"speaker":"Pam","startTime":289.68,"endTime":292.86,"body":"it, tag me on Twitter at"},{"speaker":"Pam","startTime":289.68,"endTime":292.86,"body":"@PWHarris. Or Instagram, Pam"},{"speaker":"Pam","startTime":292.86,"endTime":297.09,"body":"Harris_math. And on Facebook,"},{"speaker":"Pam","startTime":292.86,"endTime":297.09,"body":"Math is Figure-Out-Able. And use"},{"speaker":"Pam","startTime":297.09,"endTime":300.66,"body":"the hashtag MathStratChat. And"},{"speaker":"Pam","startTime":297.09,"endTime":300.66,"body":"make sure you check out the"},{"speaker":"Pam","startTime":300.69,"endTime":303.57,"body":"MathStratChat problem every"},{"speaker":"Pam","startTime":300.69,"endTime":303.57,"body":"Wednesday around 7:00 p.m."},{"speaker":"Pam","startTime":303.63,"endTime":307.5,"body":"Central Time and pop back here"},{"speaker":"Pam","startTime":303.63,"endTime":307.5,"body":"to hear how we're thinking about"},{"speaker":"Pam","startTime":307.5,"endTime":310.53,"body":"the problem. Ya'll, we love"},{"speaker":"Pam","startTime":307.5,"endTime":310.53,"body":"having you as part of the Math"},{"speaker":"Pam","startTime":310.53,"endTime":313.35,"body":"is Figure-Out-Able movement!"},{"speaker":"Pam","startTime":310.53,"endTime":313.35,"body":"Let's keep spreading the word"},{"speaker":"Pam","startTime":313.35,"endTime":314.82,"body":"that Math is Figure-Out-Able!"}]}