{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":1.02,"endTime":4.38,"body":"Hey, fellow mathematicians."},{"speaker":"Pam","startTime":1.02,"endTime":4.38,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.38,"endTime":7.53,"body":"Math is Figure-Out-Able. I'm Pam"},{"speaker":"Pam","startTime":4.38,"endTime":7.53,"body":"Harris."},{"speaker":"Kim","startTime":7.77,"endTime":8.73,"body":"And I'm Kim Montague."},{"speaker":"Pam","startTime":9.0,"endTime":14.34,"body":"And this episode is a"},{"speaker":"Pam","startTime":9.0,"endTime":14.34,"body":"MathStratChat episode. What is"},{"speaker":"Pam","startTime":14.34,"endTime":17.7,"body":"MathStratChat? Every Wednesday"},{"speaker":"Pam","startTime":14.34,"endTime":17.7,"body":"evening, I throw out a math"},{"speaker":"Pam","startTime":17.7,"endTime":21.03,"body":"problem on Twitter, Facebook,"},{"speaker":"Pam","startTime":17.7,"endTime":21.03,"body":"and Instagram. People from all"},{"speaker":"Pam","startTime":21.03,"endTime":25.26,"body":"around the world chat about the"},{"speaker":"Pam","startTime":21.03,"endTime":25.26,"body":"strategies they use. It's super"},{"speaker":"Pam","startTime":25.26,"endTime":27.09,"body":"cool to see everyone's thinking."},{"speaker":"Kim","startTime":27.87,"endTime":31.4,"body":"Okay, so this Wednesday,"},{"speaker":"Kim","startTime":27.87,"endTime":31.4,"body":"our math problem was"},{"speaker":"Kim","startTime":31.479,"endTime":36.186,"body":"three-fourths of 10. How would"},{"speaker":"Kim","startTime":31.479,"endTime":36.186,"body":"you solve this problem? Pause"},{"speaker":"Kim","startTime":36.265,"endTime":41.13,"body":"the podcast, solve the problem"},{"speaker":"Kim","startTime":36.265,"endTime":41.13,"body":"any way you want. Remember, the"},{"speaker":"Kim","startTime":41.208,"endTime":46.23,"body":"problem was three-fourths of 10."},{"speaker":"Kim","startTime":41.208,"endTime":46.23,"body":"Solve it, and then come back to"},{"speaker":"Kim","startTime":46.308,"endTime":51.094,"body":"hear how we solved it. Go. Okay,"},{"speaker":"Kim","startTime":46.308,"endTime":51.094,"body":"Pam, do you want to solve it"},{"speaker":"Kim","startTime":51.173,"endTime":53.37,"body":"first? Or do you want me to?"},{"speaker":"Pam","startTime":54.66,"endTime":59.13,"body":"I want you to first. So,"},{"speaker":"Pam","startTime":54.66,"endTime":59.13,"body":"Kim, three-fourths of 10? What"},{"speaker":"Pam","startTime":59.13,"endTime":59.91,"body":"are you thinking about?"},{"speaker":"Kim","startTime":60.42,"endTime":63.54,"body":"Three-fourths of 10. I kind"},{"speaker":"Kim","startTime":60.42,"endTime":63.54,"body":"of like this problem because"},{"speaker":"Kim","startTime":63.57,"endTime":67.23,"body":"when I see three-fourths, I like"},{"speaker":"Kim","startTime":63.57,"endTime":67.23,"body":"to think about 75%."},{"speaker":"Pam","startTime":67.26,"endTime":67.8,"body":"Mmhmm."},{"speaker":"Kim","startTime":68.85,"endTime":76.17,"body":"And so, 75% of 10 is just"},{"speaker":"Kim","startTime":68.85,"endTime":76.17,"body":"7.5. And I'm thinking about,"},{"speaker":"Kim","startTime":76.2,"endTime":77.25,"body":"\"How do I know that?\""},{"speaker":"Pam","startTime":77.25,"endTime":78.09,"body":"How do you know that?"},{"speaker":"Kim","startTime":78.09,"endTime":81.75,"body":"How do I know that? 75% of"},{"speaker":"Kim","startTime":78.09,"endTime":81.75,"body":"10."},{"speaker":"Pam","startTime":81.78,"endTime":82.74,"body":"I can think of a way."},{"speaker":"Kim","startTime":82.83,"endTime":83.7,"body":"Yeah, go for it."},{"speaker":"Pam","startTime":83.82,"endTime":86.76,"body":"I wonder if you're thinking"},{"speaker":"Pam","startTime":83.82,"endTime":86.76,"body":"about 75% of 100."},{"speaker":"Kim","startTime":88.44,"endTime":88.53,"body":"Mmhmm. (unclear)."},{"speaker":"Pam","startTime":88.53,"endTime":91.74,"body":"(unclear). 100 is 75, but"},{"speaker":"Pam","startTime":88.53,"endTime":91.74,"body":"you're clear that you're a place"},{"speaker":"Pam","startTime":91.74,"endTime":92.46,"body":"value..."},{"speaker":"Kim","startTime":92.79,"endTime":93.12,"body":"Yeah."},{"speaker":"Pam","startTime":93.15,"endTime":94.5,"body":"Scaled down by 10."},{"speaker":"Kim","startTime":94.62,"endTime":95.88,"body":"Yeah, I think that's"},{"speaker":"Kim","startTime":94.62,"endTime":95.88,"body":"probably it."},{"speaker":"Pam","startTime":96.27,"endTime":96.69,"body":"Okay."},{"speaker":"Kim","startTime":97.08,"endTime":98.22,"body":"Is that what you did? What"},{"speaker":"Kim","startTime":97.08,"endTime":98.22,"body":"did you do?"},{"speaker":"Pam","startTime":98.46,"endTime":101.345,"body":"No. So, I could stay in"},{"speaker":"Pam","startTime":98.46,"endTime":101.345,"body":"percents, but I really was"},{"speaker":"Pam","startTime":101.403,"endTime":103.77,"body":"thinking about fractions. But"},{"speaker":"Pam","startTime":101.403,"endTime":103.77,"body":"either way."},{"speaker":"Kim","startTime":103.77,"endTime":104.01,"body":"Okay, alright."},{"speaker":"Pam","startTime":104.04,"endTime":106.92,"body":"So, I can think of one-half"},{"speaker":"Pam","startTime":104.04,"endTime":106.92,"body":"of 10."},{"speaker":"Kim","startTime":107.43,"endTime":107.97,"body":"Okay."},{"speaker":"Pam","startTime":108.03,"endTime":112.17,"body":"So, a half of 10, or 50% of"},{"speaker":"Pam","startTime":108.03,"endTime":112.17,"body":"10, is 5."},{"speaker":"Kim","startTime":112.59,"endTime":112.68,"body":"Okay."},{"speaker":"Pam","startTime":112.68,"endTime":114.72,"body":"And then. But I want to"},{"speaker":"Pam","startTime":112.68,"endTime":114.72,"body":"find a quarter, so I'm going to"},{"speaker":"Pam","startTime":114.72,"endTime":118.98,"body":"half that again. So, a quarter"},{"speaker":"Pam","startTime":114.72,"endTime":118.98,"body":"then of 10 would be half of the"},{"speaker":"Pam","startTime":118.98,"endTime":120.09,"body":"5, which is 2 1/2."},{"speaker":"Kim","startTime":120.12,"endTime":120.57,"body":"Mmhmm."},{"speaker":"Pam","startTime":121.08,"endTime":125.82,"body":"So, if I have half of 10"},{"speaker":"Pam","startTime":121.08,"endTime":125.82,"body":"and a quarter of 10. Five and 2"},{"speaker":"Pam","startTime":125.85,"endTime":128.73,"body":"1/2 that's going to be, add"},{"speaker":"Pam","startTime":125.85,"endTime":128.73,"body":"those together to be 7 1/2."},{"speaker":"Kim","startTime":128.97,"endTime":129.48,"body":"Nice."},{"speaker":"Pam","startTime":129.509,"endTime":130.469,"body":"That's what I was thinking"},{"speaker":"Pam","startTime":129.509,"endTime":130.469,"body":"of."},{"speaker":"Kim","startTime":130.86,"endTime":131.4,"body":"Nice."},{"speaker":"Pam","startTime":132.24,"endTime":133.41,"body":"But I just thought of one"},{"speaker":"Pam","startTime":132.24,"endTime":133.41,"body":"more."},{"speaker":"Kim","startTime":133.71,"endTime":134.1,"body":"Okay."},{"speaker":"Pam","startTime":134.31,"endTime":138.78,"body":"Because three-quarters of"},{"speaker":"Pam","startTime":134.31,"endTime":138.78,"body":"10 is almost four-quarters of"},{"speaker":"Pam","startTime":138.78,"endTime":139.2,"body":"10."},{"speaker":"Kim","startTime":139.59,"endTime":140.04,"body":"Mmm."},{"speaker":"Pam","startTime":140.0,"endTime":141.65,"body":"This feels very Kim-like to"},{"speaker":"Pam","startTime":140.0,"endTime":141.65,"body":"me."},{"speaker":"Kim","startTime":142.22,"endTime":143.15,"body":"I know what you're doing."},{"speaker":"Pam","startTime":143.81,"endTime":144.56,"body":"Do you want to finish it?"},{"speaker":"Kim","startTime":144.92,"endTime":146.33,"body":"Nah, that's okay. I'm"},{"speaker":"Kim","startTime":144.92,"endTime":146.33,"body":"taking a drink of water."},{"speaker":"Pam","startTime":146.66,"endTime":151.34,"body":"So, four quarters of 10 is"},{"speaker":"Pam","startTime":146.66,"endTime":151.34,"body":"10. We just found one quarter of"},{"speaker":"Pam","startTime":151.37,"endTime":152.78,"body":"10 to be 2 1/2."},{"speaker":"Kim","startTime":152.82,"endTime":153.42,"body":"Mmhmm."},{"speaker":"Pam","startTime":153.81,"endTime":158.34,"body":"So, to get three-quarters,"},{"speaker":"Pam","startTime":153.81,"endTime":158.34,"body":"I can subtract that quarter. So,"},{"speaker":"Pam","startTime":158.34,"endTime":161.52,"body":"four-quarters minus"},{"speaker":"Pam","startTime":158.34,"endTime":161.52,"body":"three-quarters, or 10 minus 2"},{"speaker":"Pam","startTime":161.55,"endTime":163.17,"body":"1/2, is also 7 1/2."},{"speaker":"Kim","startTime":163.2,"endTime":165.33,"body":"Yeah, It's really nice"},{"speaker":"Kim","startTime":163.2,"endTime":165.33,"body":"because of the 10."},{"speaker":"Pam","startTime":166.62,"endTime":170.34,"body":"Yeah. And I think it's also"},{"speaker":"Pam","startTime":166.62,"endTime":170.34,"body":"nice because of the"},{"speaker":"Pam","startTime":170.37,"endTime":172.47,"body":"three-quarters. There's"},{"speaker":"Pam","startTime":170.37,"endTime":172.47,"body":"different ways that we can think"},{"speaker":"Pam","startTime":172.47,"endTime":174.81,"body":"of three-quarters. So, what did"},{"speaker":"Pam","startTime":172.47,"endTime":174.81,"body":"we do? We just thought of"},{"speaker":"Pam","startTime":174.81,"endTime":180.06,"body":"three-quarters as, I thought of"},{"speaker":"Pam","startTime":174.81,"endTime":180.06,"body":"it as three, one-quarters."},{"speaker":"Kim","startTime":180.12,"endTime":180.15,"body":"Mmhmm."},{"speaker":"Pam","startTime":180.93,"endTime":182.97,"body":"You thought of it as 75%."},{"speaker":"Kim","startTime":183.15,"endTime":183.18,"body":"Mmhmm."},{"speaker":"Pam","startTime":183.96,"endTime":186.33,"body":"And then, I also thought of"},{"speaker":"Pam","startTime":183.96,"endTime":186.33,"body":"it as four-quarters minus a"},{"speaker":"Pam","startTime":186.33,"endTime":186.75,"body":"quarter."},{"speaker":"Kim","startTime":187.14,"endTime":187.77,"body":"Nice. Okay."},{"speaker":"Pam","startTime":188.1,"endTime":190.56,"body":"And I kind of also thought"},{"speaker":"Pam","startTime":188.1,"endTime":190.56,"body":"of it as a half and a quarter."},{"speaker":"Kim","startTime":190.77,"endTime":191.31,"body":"Yeah."},{"speaker":"Pam","startTime":191.9,"endTime":194.21,"body":"Maybe I didn't ever think"},{"speaker":"Pam","startTime":191.9,"endTime":194.21,"body":"of it as three, one-quarters. I"},{"speaker":"Pam","startTime":194.21,"endTime":196.13,"body":"really thought of it as a half"},{"speaker":"Pam","startTime":194.21,"endTime":196.13,"body":"and a quarter. But you could"},{"speaker":"Pam","startTime":196.13,"endTime":197.75,"body":"have thought of it as, once you"},{"speaker":"Pam","startTime":196.13,"endTime":197.75,"body":"found that one-quarter, you"},{"speaker":"Pam","startTime":197.75,"endTime":199.01,"body":"could (unclear). Yeah."},{"speaker":"Kim","startTime":199.02,"endTime":199.14,"body":"Yeah."},{"speaker":"Pam","startTime":199.17,"endTime":199.38,"body":"Okay."},{"speaker":"Kim","startTime":199.38,"endTime":199.47,"body":"Cool."},{"speaker":"Kim","startTime":200.88,"endTime":203.64,"body":"Okay, so you heard what we did."},{"speaker":"Kim","startTime":200.88,"endTime":203.64,"body":"We can't wait to see your math"},{"speaker":"Kim","startTime":203.64,"endTime":206.64,"body":"strategy. Represent your"},{"speaker":"Kim","startTime":203.64,"endTime":206.64,"body":"thinking. You can take a picture"},{"speaker":"Kim","startTime":206.64,"endTime":209.31,"body":"of your work or screenshot your"},{"speaker":"Kim","startTime":206.64,"endTime":209.31,"body":"phone, and tell the world on"},{"speaker":"Kim","startTime":209.31,"endTime":212.1,"body":"social media. And while you're"},{"speaker":"Kim","startTime":209.31,"endTime":212.1,"body":"there, check out what other"},{"speaker":"Kim","startTime":212.1,"endTime":214.02,"body":"people did and comment on their"},{"speaker":"Kim","startTime":212.1,"endTime":214.02,"body":"thinking."},{"speaker":"Pam","startTime":214.0,"endTime":217.96,"body":"And while you're at it, tag"},{"speaker":"Pam","startTime":214.0,"endTime":217.96,"body":"me on Twitter: @PWHarris. Or"},{"speaker":"Instagram","startTime":217.96,"endTime":221.74,"body":"Pam Harris_math. Or"},{"speaker":"Instagram","startTime":217.96,"endTime":221.74,"body":"Facebook: Pam Harris, Author"},{"speaker":"Instagram","startTime":221.74,"endTime":224.89,"body":"Mathematics Education. And make"},{"speaker":"Instagram","startTime":221.74,"endTime":224.89,"body":"sure you use the hashtag,"},{"speaker":"Instagram","startTime":224.92,"endTime":229.39,"body":"MathStratChat. So, make sure you"},{"speaker":"Instagram","startTime":224.92,"endTime":229.39,"body":"check out the MathStratChat"},{"speaker":"Instagram","startTime":229.39,"endTime":233.47,"body":"problem we post next Wednesday"},{"speaker":"Instagram","startTime":229.39,"endTime":233.47,"body":"right around 7pm Central Time,"},{"speaker":"Instagram","startTime":233.77,"endTime":236.29,"body":"and then pop back here to hear"},{"speaker":"Instagram","startTime":233.77,"endTime":236.29,"body":"what we're thinking about the"},{"speaker":"Instagram","startTime":236.29,"endTime":239.62,"body":"problem. We love having you as"},{"speaker":"Instagram","startTime":236.29,"endTime":239.62,"body":"part of the Math is"},{"speaker":"Instagram","startTime":239.62,"endTime":242.68,"body":"Figure-Out-Able movement. Let's"},{"speaker":"Instagram","startTime":239.62,"endTime":242.68,"body":"keep spreading the word that"},{"speaker":"Instagram","startTime":242.68,"endTime":244.36,"body":"Math is Figure-Out-Able!"}]}