{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":1.23,"endTime":4.71,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":1.23,"endTime":4.71,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.71,"endTime":7.83,"body":"Math is Figure-Out-Able! I'm Pam"},{"speaker":"Pam","startTime":4.71,"endTime":7.83,"body":"Harris."},{"speaker":"Kim","startTime":8.039,"endTime":9.059,"body":"And I'm Kim Montague."},{"speaker":"Pam","startTime":9.3,"endTime":13.47,"body":"And this episode is a"},{"speaker":"Pam","startTime":9.3,"endTime":13.47,"body":"MathStratChat episode. What is"},{"speaker":"Pam","startTime":13.5,"endTime":16.2,"body":"MathStratChat? Well, every"},{"speaker":"Pam","startTime":13.5,"endTime":16.2,"body":"Wednesday evening, I throw out a"},{"speaker":"Pam","startTime":16.2,"endTime":18.45,"body":"math problem on Twitter,"},{"speaker":"Pam","startTime":16.2,"endTime":18.45,"body":"Facebook, Instagram, all the"},{"speaker":"Pam","startTime":18.45,"endTime":21.63,"body":"social media. People from around"},{"speaker":"Pam","startTime":18.45,"endTime":21.63,"body":"the world chat about the"},{"speaker":"Pam","startTime":21.63,"endTime":25.11,"body":"strategies they use. It is super"},{"speaker":"Pam","startTime":21.63,"endTime":25.11,"body":"to see everyone's thinking."},{"speaker":"Kim","startTime":25.83,"endTime":29.7,"body":"So, this Wednesday, our"},{"speaker":"Kim","startTime":25.83,"endTime":29.7,"body":"problem was one-fourth plus"},{"speaker":"Kim","startTime":29.76,"endTime":33.39,"body":"two-thirds. How would you solve"},{"speaker":"Kim","startTime":29.76,"endTime":33.39,"body":"this problem? Go ahead and pause"},{"speaker":"Kim","startTime":33.39,"endTime":36.57,"body":"the podcast and solve the"},{"speaker":"Kim","startTime":33.39,"endTime":36.57,"body":"problem any way you want. The"},{"speaker":"Kim","startTime":36.57,"endTime":41.46,"body":"problem is one-fourth plus"},{"speaker":"Kim","startTime":36.57,"endTime":41.46,"body":"two-thirds. Solve it, and then"},{"speaker":"Kim","startTime":41.46,"endTime":43.17,"body":"come on back to here how we"},{"speaker":"Kim","startTime":41.46,"endTime":43.17,"body":"solved it."},{"speaker":"Pam","startTime":44.82,"endTime":47.67,"body":"Alright, Kim, I want to"},{"speaker":"Pam","startTime":44.82,"endTime":47.67,"body":"hear from you first today. So,"},{"speaker":"Pam","startTime":48.21,"endTime":50.46,"body":"how are you thinking about"},{"speaker":"Pam","startTime":48.21,"endTime":50.46,"body":"one-fourth plus two-thirds?"},{"speaker":"Kim","startTime":51.15,"endTime":53.85,"body":"Okay, you know when I was"},{"speaker":"Kim","startTime":51.15,"endTime":53.85,"body":"thinking about 1/4, I kind of"},{"speaker":"Kim","startTime":53.85,"endTime":57.48,"body":"wanted to think about $0.25. But"},{"speaker":"Kim","startTime":53.85,"endTime":57.48,"body":"then, I looked at the other"},{"speaker":"Kim","startTime":57.48,"endTime":62.22,"body":"number, and it was two-thirds."},{"speaker":"Kim","startTime":57.48,"endTime":62.22,"body":"So, I actually thought about a"},{"speaker":"Kim","startTime":62.22,"endTime":66.96,"body":"clock, and I thought about a"},{"speaker":"Kim","startTime":62.22,"endTime":66.96,"body":"fourth of a clock is 15 minutes."},{"speaker":"Pam","startTime":67.5,"endTime":69.0,"body":"Okay. Fourth of an hour?"},{"speaker":"Kim","startTime":69.69,"endTime":73.71,"body":"Yeah, of the hour. And"},{"speaker":"Kim","startTime":69.69,"endTime":73.71,"body":"two-thirds of the hour will be"},{"speaker":"Kim","startTime":73.71,"endTime":79.5,"body":"40 minutes. So, 15 minutes and"},{"speaker":"Kim","startTime":73.71,"endTime":79.5,"body":"40 minutes would be 55 minutes."},{"speaker":"Pam","startTime":79.95,"endTime":82.186,"body":"Can I ask you? I think a"},{"speaker":"Pam","startTime":79.95,"endTime":82.186,"body":"quarter hour, a lot of people"},{"speaker":"Pam","startTime":82.227,"endTime":84.836,"body":"know, is 15 minutes. But how do"},{"speaker":"Pam","startTime":82.227,"endTime":84.836,"body":"you know two-thirds of an hour?"},{"speaker":"Pam","startTime":84.877,"endTime":85.83,"body":"Did you just know that?"},{"speaker":"Kim","startTime":85.0,"endTime":91.63,"body":"You know, I just feel like"},{"speaker":"Kim","startTime":85.0,"endTime":91.63,"body":"20, 20, and 20 just made sense"},{"speaker":"Kim","startTime":91.63,"endTime":95.8,"body":"to me. I don't know that there's"},{"speaker":"Kim","startTime":91.63,"endTime":95.8,"body":"like a way that I know that. I"},{"speaker":"Kim","startTime":95.8,"endTime":100.42,"body":"just think of 3 chunks of 20 is"},{"speaker":"Kim","startTime":95.8,"endTime":100.42,"body":"60."},{"speaker":"Pam","startTime":100.66,"endTime":105.16,"body":"Okay. Mmhmm. So, like a"},{"speaker":"Pam","startTime":100.66,"endTime":105.16,"body":"third of an hour, 1/3 of an hour"},{"speaker":"Pam","startTime":105.16,"endTime":105.46,"body":"is 20 minutes."},{"speaker":"Kim","startTime":105.48,"endTime":105.75,"body":"Yeah."},{"speaker":"Pam","startTime":105.78,"endTime":108.66,"body":"So, two of those 1/3s would"},{"speaker":"Pam","startTime":105.78,"endTime":108.66,"body":"be 40 minutes. That makes sense?"},{"speaker":"Kim","startTime":109.02,"endTime":109.05,"body":"Mmhmm."},{"speaker":"Pam","startTime":109.56,"endTime":111.96,"body":"So, once you got 55"},{"speaker":"Pam","startTime":109.56,"endTime":111.96,"body":"minutes, did you turn it back"},{"speaker":"Pam","startTime":111.96,"endTime":112.71,"body":"into a fraction?"},{"speaker":"Kim","startTime":113.31,"endTime":119.52,"body":"I did. And so, that would"},{"speaker":"Kim","startTime":113.31,"endTime":119.52,"body":"be 11/12 because each 1/12 of an"},{"speaker":"Kim","startTime":119.52,"endTime":123.09,"body":"hour is 5 minutes, so if I have"},{"speaker":"Kim","startTime":119.52,"endTime":123.09,"body":"11 of them, that would be 55"},{"speaker":"Kim","startTime":123.09,"endTime":123.63,"body":"minutes."},{"speaker":"Pam","startTime":124.29,"endTime":125.88,"body":"So, your final answer was?"},{"speaker":"Kim","startTime":126.57,"endTime":127.23,"body":"Eleven-twelfths."},{"speaker":"Pam","startTime":127.89,"endTime":130.41,"body":"Eleven-twelfths. Okay, that"},{"speaker":"Pam","startTime":127.89,"endTime":130.41,"body":"makes sense. Cool. But in the"},{"speaker":"Pam","startTime":130.68,"endTime":132.39,"body":"meanwhile, you had 55/60?"},{"speaker":"Kim","startTime":133.92,"endTime":135.66,"body":"Oh, you know, I don't"},{"speaker":"Kim","startTime":133.92,"endTime":135.66,"body":"actually know that I ever"},{"speaker":"Kim","startTime":135.66,"endTime":137.04,"body":"thought about that."},{"speaker":"Pam","startTime":137.07,"endTime":137.94,"body":"Oh, that's interesting."},{"speaker":"Kim","startTime":138.09,"endTime":141.21,"body":"I think I... I just was"},{"speaker":"Kim","startTime":138.09,"endTime":141.21,"body":"thinking 55 minutes."},{"speaker":"Pam","startTime":142.08,"endTime":147.06,"body":"Ah, okay. Alright. Cool. I"},{"speaker":"Pam","startTime":142.08,"endTime":147.06,"body":"think that's legal. So, I was"},{"speaker":"Pam","startTime":147.06,"endTime":151.95,"body":"also thinking time. So, a"},{"speaker":"Pam","startTime":147.06,"endTime":151.95,"body":"quarter of an hour is, like you"},{"speaker":"Pam","startTime":151.95,"endTime":155.01,"body":"said, 15 minutes. I'm kind of"},{"speaker":"Pam","startTime":151.95,"endTime":155.01,"body":"picturing the hand on an analog"},{"speaker":"Pam","startTime":155.01,"endTime":156.63,"body":"clock being on the 3."},{"speaker":"Kim","startTime":157.65,"endTime":157.68,"body":"Mmhmm."},{"speaker":"Pam","startTime":157.86,"endTime":162.54,"body":"And so, that's kind of like"},{"speaker":"Pam","startTime":157.86,"endTime":162.54,"body":"3. Each of those hours are kind"},{"speaker":"Pam","startTime":162.54,"endTime":165.63,"body":"of like 5 minute chunks. So, if"},{"speaker":"Pam","startTime":162.54,"endTime":165.63,"body":"I see the hand on..."},{"speaker":"Kim","startTime":165.66,"endTime":167.16,"body":"Each? Where the hand goes,"},{"speaker":"Kim","startTime":165.66,"endTime":167.16,"body":"you mean?"},{"speaker":"Pam: Yeah, so like, 1","startTime":167.37,"endTime":170.97,"body":"00 is 5"},{"speaker":"Pam: Yeah, so like, 1","startTime":167.37,"endTime":170.97,"body":"minutes after the hour. Two..."},{"speaker":"Or 1","startTime":171.06,"endTime":174.6,"body":"00. Where the 1 is, that"},{"speaker":"Or 1","startTime":171.06,"endTime":174.6,"body":"would be like 5 minutes after"},{"speaker":"Or 1","startTime":174.6,"endTime":177.45,"body":"the hour, and where the two is,"},{"speaker":"Or 1","startTime":174.6,"endTime":177.45,"body":"if the minute hand was there,"},{"speaker":"Or 1","startTime":177.45,"endTime":180.12,"body":"that would be 10 minutes after"},{"speaker":"Or 1","startTime":177.45,"endTime":180.12,"body":"the hour. So, since we're on the"},{"speaker":"Or 1","startTime":180.12,"endTime":186.09,"body":"3, that's like 15. It's like"},{"speaker":"Or 1","startTime":180.12,"endTime":186.09,"body":"three, 5 minute chunks, if I'm"},{"speaker":"Or 1","startTime":186.09,"endTime":190.77,"body":"on the 3. So 15 minutes I could"},{"speaker":"Or 1","startTime":186.09,"endTime":190.77,"body":"think of as 3 out of the 12, 5"},{"speaker":"Or 1","startTime":190.77,"endTime":195.27,"body":"minute chunks. So,"},{"speaker":"Or 1","startTime":190.77,"endTime":195.27,"body":"three-twelfths. 3... I wasn't"},{"speaker":"Or 1","startTime":195.27,"endTime":196.86,"body":"really thinking about"},{"speaker":"Or 1","startTime":195.27,"endTime":196.86,"body":"three-twelfths. I was just think"},{"speaker":"Or 1","startTime":196.86,"endTime":197.67,"body":"about the 3."},{"speaker":"Kim","startTime":197.67,"endTime":197.7,"body":"Mmhmm."},{"speaker":"Pam","startTime":198.48,"endTime":201.18,"body":"And then, two-thirds. The"},{"speaker":"Pam","startTime":198.48,"endTime":201.18,"body":"reason I asked about how you"},{"speaker":"Pam","startTime":201.18,"endTime":204.48,"body":"think about two-thirds is"},{"speaker":"Pam","startTime":201.18,"endTime":204.48,"body":"because I think about the circle"},{"speaker":"Pam","startTime":204.75,"endTime":206.4,"body":"and kind of the peace sign."},{"speaker":"Kim","startTime":207.03,"endTime":207.72,"body":"Yes."},{"speaker":"Pam","startTime":207.78,"endTime":210.0,"body":"If you sort of split a"},{"speaker":"Pam","startTime":207.78,"endTime":210.0,"body":"circle into 3 equal parts, it's"},{"speaker":"Pam","startTime":210.0,"endTime":212.64,"body":"kind of the peace sign. And so,"},{"speaker":"Pam","startTime":210.0,"endTime":212.64,"body":"I was thinking to myself, \"If I"},{"speaker":"Pam","startTime":212.64,"endTime":215.82,"body":"need 2 of those thirds, where is"},{"speaker":"Pam","startTime":212.64,"endTime":215.82,"body":"that?\" Like, where? What would I"},{"speaker":"Pam","startTime":215.82,"endTime":218.43,"body":"say how much? It's kind of on"},{"speaker":"Pam","startTime":215.82,"endTime":218.43,"body":"the 8?"},{"speaker":"Kim","startTime":219.3,"endTime":219.72,"body":"Yeah."},{"speaker":"Pam","startTime":220.53,"endTime":222.12,"body":"Yeah, if I picture the"},{"speaker":"Pam","startTime":220.53,"endTime":222.12,"body":"peace (unclear). So, that would"},{"speaker":"Pam","startTime":222.12,"endTime":225.45,"body":"be like 8/12 or 8 out of those"},{"speaker":"Pam","startTime":222.12,"endTime":225.45,"body":"12, 5 minute chunks. So, I've"},{"speaker":"Pam","startTime":225.45,"endTime":227.88,"body":"got three-twelfths and"},{"speaker":"Pam","startTime":225.45,"endTime":227.88,"body":"eight-twelfths is"},{"speaker":"Pam","startTime":227.91,"endTime":229.95,"body":"eleven-twelfths. So, that's kind"},{"speaker":"Pam","startTime":227.91,"endTime":229.95,"body":"of how I was thinking about that"},{"speaker":"Pam","startTime":229.95,"endTime":230.64,"body":"one. You like that?"},{"speaker":"Kim","startTime":230.64,"endTime":231.3,"body":"Nice!"},{"speaker":"Pam","startTime":231.66,"endTime":232.44,"body":"Alright, super."},{"speaker":"Pam","startTime":232.44,"endTime":232.77,"body":"Cool."},{"speaker":"Kim","startTime":232.77,"endTime":235.56,"body":"(unclear) Alright. Alright,"},{"speaker":"Kim","startTime":232.77,"endTime":235.56,"body":"well we can't wait to see your"},{"speaker":"Kim","startTime":235.56,"endTime":238.98,"body":"strategy. I wonder if your"},{"speaker":"Kim","startTime":235.56,"endTime":238.98,"body":"strategy was like one of ours or"},{"speaker":"Kim","startTime":238.98,"endTime":242.19,"body":"something entirely different."},{"speaker":"Kim","startTime":238.98,"endTime":242.19,"body":"Represent your thinking, take a"},{"speaker":"Kim","startTime":242.19,"endTime":244.53,"body":"picture of your work or"},{"speaker":"Kim","startTime":242.19,"endTime":244.53,"body":"screenshot your phone, and tell"},{"speaker":"Kim","startTime":244.53,"endTime":247.86,"body":"the world on social media. And"},{"speaker":"Kim","startTime":244.53,"endTime":247.86,"body":"while you're there, check out"},{"speaker":"Kim","startTime":247.86,"endTime":249.9,"body":"what other people did and"},{"speaker":"Kim","startTime":247.86,"endTime":249.9,"body":"comment on their thinking."},{"speaker":"Pam","startTime":250.23,"endTime":253.56,"body":"Yeah, and tag me on Twitter"},{"speaker":"Pam","startTime":250.23,"endTime":253.56,"body":"at @PWHarris. Or Instagram,"},{"speaker":"Pam","startTime":253.56,"endTime":256.98,"body":"PamHarris_math. And Facebook,"},{"speaker":"Pam","startTime":253.56,"endTime":256.98,"body":"Pam Harris, author mathematics"},{"speaker":"Pam","startTime":256.98,"endTime":261.57,"body":"education. And use the hashtag"},{"speaker":"Pam","startTime":256.98,"endTime":261.57,"body":"MathStratChat. So, make sure you"},{"speaker":"Pam","startTime":261.57,"endTime":264.42,"body":"check out the MathStratChat"},{"speaker":"Pam","startTime":261.57,"endTime":264.42,"body":"problem we post next Wednesday"},{"speaker":"at around 7","startTime":264.42,"endTime":268.38,"body":"00 p.m. Central"},{"speaker":"at around 7","startTime":264.42,"endTime":268.38,"body":"Standard Time, and pop back here"},{"speaker":"at around 7","startTime":268.38,"endTime":272.22,"body":"to hear how we're thinking about"},{"speaker":"at around 7","startTime":268.38,"endTime":272.22,"body":"the problem. We love having you"},{"speaker":"at around 7","startTime":272.22,"endTime":275.07,"body":"as part of the Math is"},{"speaker":"at around 7","startTime":272.22,"endTime":275.07,"body":"Figure-Out-Able movement. Let's"},{"speaker":"at around 7","startTime":275.07,"endTime":277.68,"body":"keep spreading the word that"},{"speaker":"at around 7","startTime":275.07,"endTime":277.68,"body":"Math is Figure-Out-Able!"}]}