{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":0.9,"endTime":3.96,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":0.9,"endTime":3.96,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":3.96,"endTime":7.14,"body":"Math is Figure-Out-Able. I'm Pam"},{"speaker":"Pam","startTime":3.96,"endTime":7.14,"body":"Harris."},{"speaker":"Kim","startTime":7.3,"endTime":8.2,"body":"And I'm Kim Montague."},{"speaker":"Pam","startTime":8.56,"endTime":11.2,"body":"And this episode is a"},{"speaker":"Pam","startTime":8.56,"endTime":11.2,"body":"MathStratChat episode."},{"speaker":"Pam","startTime":11.62,"endTime":15.1,"body":"MathStratChat is where I throw"},{"speaker":"Pam","startTime":11.62,"endTime":15.1,"body":"out a math problem on Twitter,"},{"speaker":"Pam","startTime":15.1,"endTime":18.07,"body":"Facebook, and Instagram every"},{"speaker":"Pam","startTime":15.1,"endTime":18.07,"body":"Wednesday, and people from all"},{"speaker":"Pam","startTime":18.07,"endTime":22.03,"body":"around the world chat about the"},{"speaker":"Pam","startTime":18.07,"endTime":22.03,"body":"strategies they use. It is cool"},{"speaker":"Pam","startTime":22.03,"endTime":23.17,"body":"to see everyone's thinking."},{"speaker":"Kim","startTime":23.74,"endTime":26.83,"body":"Okay, so this Wednesday,"},{"speaker":"Kim","startTime":23.74,"endTime":26.83,"body":"our math problem was 1 and a 1/2"},{"speaker":"Kim","startTime":26.95,"endTime":31.0,"body":"minus 7/8. How would you solve"},{"speaker":"Kim","startTime":26.95,"endTime":31.0,"body":"this problem? Pause the podcast,"},{"speaker":"Kim","startTime":31.03,"endTime":34.42,"body":"solve the problem any way you"},{"speaker":"Kim","startTime":31.03,"endTime":34.42,"body":"want. The problem is 1 and a 1/2"},{"speaker":"Kim","startTime":34.45,"endTime":37.93,"body":"minus 7/8. Solve it, and then"},{"speaker":"Kim","startTime":34.45,"endTime":37.93,"body":"come back to hear how we solved"},{"speaker":"Kim","startTime":37.93,"endTime":38.08,"body":"it."},{"speaker":"Pam","startTime":39.2,"endTime":42.05,"body":"Bam! Alright. Today, I'm"},{"speaker":"Pam","startTime":39.2,"endTime":42.05,"body":"going to go first."},{"speaker":"Kim","startTime":42.26,"endTime":42.86,"body":"Okeydoke."},{"speaker":"Pam","startTime":42.99,"endTime":48.39,"body":"So, to me, 1 and a 1/2 and"},{"speaker":"Pam","startTime":42.99,"endTime":48.39,"body":"7/8 are very close together. 7/8"},{"speaker":"Pam","startTime":48.39,"endTime":51.9,"body":"is almost 1. And then, we're"},{"speaker":"Pam","startTime":48.39,"endTime":51.9,"body":"just up 1 and a 1/2. So, I'm"},{"speaker":"Pam","startTime":51.9,"endTime":56.61,"body":"really thinking about 1 and a"},{"speaker":"Pam","startTime":51.9,"endTime":56.61,"body":"1/2, kind of on a number line,"},{"speaker":"Pam","startTime":56.61,"endTime":62.04,"body":"and 7/8 kind of on a number"},{"speaker":"Pam","startTime":56.61,"endTime":62.04,"body":"line. And I'm thinking 7/8 is"},{"speaker":"Pam","startTime":62.04,"endTime":69.03,"body":"just 1/8 away from 1. And 1 and"},{"speaker":"Pam","startTime":62.04,"endTime":69.03,"body":"a 1/2 is just 1/2 away. So, I'm"},{"speaker":"Pam","startTime":69.03,"endTime":75.99,"body":"thinking about adding 1/8 and"},{"speaker":"Pam","startTime":69.03,"endTime":75.99,"body":"1/2. And 1/2 is the same as 4/8."},{"speaker":"Pam","startTime":76.02,"endTime":80.85,"body":"So, 1/8 and 4/8 is 5/8. But can"},{"speaker":"Pam","startTime":76.02,"endTime":80.85,"body":"I actually tell you what"},{"speaker":"Pam","startTime":80.85,"endTime":83.61,"body":"happened in my head when I added"},{"speaker":"Pam","startTime":80.85,"endTime":83.61,"body":"the 1/2 and the 1/8?"},{"speaker":"Kim","startTime":83.76,"endTime":84.18,"body":"Yeah."},{"speaker":"Pam","startTime":84.51,"endTime":87.36,"body":"First thing I did was flop"},{"speaker":"Pam","startTime":84.51,"endTime":87.36,"body":"them. So, I wasn't thinking"},{"speaker":"Pam","startTime":87.36,"endTime":93.33,"body":"about 1/8 and a 1/2. I was"},{"speaker":"Pam","startTime":87.36,"endTime":93.33,"body":"thinking about 1/2, and 1/8. And"},{"speaker":"Pam","startTime":93.33,"endTime":98.76,"body":"I literally pictured a ruler in"},{"speaker":"Pam","startTime":93.33,"endTime":98.76,"body":"my head. So, on a ruler, if I'm"},{"speaker":"Pam","startTime":98.76,"endTime":102.33,"body":"thinking about where I am at"},{"speaker":"Pam","startTime":98.76,"endTime":102.33,"body":"1/2, and then I go to just that"},{"speaker":"Pam","startTime":102.36,"endTime":105.78,"body":"next mark on a ruler. So, all of"},{"speaker":"Pam","startTime":102.36,"endTime":105.78,"body":"our international listeners"},{"speaker":"Pam","startTime":105.78,"endTime":109.56,"body":"right now are like, \"What are"},{"speaker":"Pam","startTime":105.78,"endTime":109.56,"body":"you talking about?\" So, you"},{"speaker":"Pam","startTime":109.56,"endTime":113.85,"body":"might have to go look at a"},{"speaker":"Pam","startTime":109.56,"endTime":113.85,"body":"customary ruler. But if you've"},{"speaker":"Pam","startTime":113.85,"endTime":116.79,"body":"dealt with customary"},{"speaker":"Pam","startTime":113.85,"endTime":116.79,"body":"measurements, then you often"},{"speaker":"Pam","startTime":116.79,"endTime":119.58,"body":"have to tell what those little"},{"speaker":"Pam","startTime":116.79,"endTime":119.58,"body":"marks are. And it would be so"},{"speaker":"Pam","startTime":119.58,"endTime":121.68,"body":"much smarter if we were in"},{"speaker":"Pam","startTime":119.58,"endTime":121.68,"body":"metric because then they would"},{"speaker":"Pam","startTime":121.68,"endTime":124.08,"body":"just be a millimeter, but no."},{"speaker":"Pam","startTime":121.68,"endTime":124.08,"body":"No, we have to do these funny"},{"speaker":"Pam","startTime":124.08,"endTime":127.17,"body":"things. So, that next mark would"},{"speaker":"Pam","startTime":124.08,"endTime":127.17,"body":"be an eighth. And if I think"},{"speaker":"Pam","startTime":127.17,"endTime":130.89,"body":"about that on a ruler, bam, that"},{"speaker":"Pam","startTime":127.17,"endTime":130.89,"body":"is just 5/8. I've dealt with it"},{"speaker":"Pam","startTime":130.89,"endTime":133.38,"body":"enough that I know that that's"},{"speaker":"Pam","startTime":130.89,"endTime":133.38,"body":"5/8. Anyways, that's what I"},{"speaker":"Pam","startTime":133.38,"endTime":134.34,"body":"would do. What were you thinking"},{"speaker":"Pam","startTime":133.38,"endTime":134.34,"body":"about?"},{"speaker":"Kim","startTime":134.34,"endTime":137.138,"body":"Nice. I was actually"},{"speaker":"Kim","startTime":134.34,"endTime":137.138,"body":"thinking about percentages. I"},{"speaker":"Kim","startTime":137.194,"endTime":138.93,"body":"don't know why. I have no idea."},{"speaker":"Pam","startTime":138.93,"endTime":141.63,"body":"Because that's you! That's"},{"speaker":"Pam","startTime":138.93,"endTime":141.63,"body":"such a you thing. You love"},{"speaker":"Pam","startTime":141.63,"endTime":142.29,"body":"percentages."},{"speaker":"Kim","startTime":142.32,"endTime":145.86,"body":"I do. Okay, so 1 and a 1/2"},{"speaker":"Kim","startTime":142.32,"endTime":145.86,"body":"is 150%."},{"speaker":"Pam","startTime":146.1,"endTime":146.46,"body":"Okay."},{"speaker":"Kim","startTime":146.85,"endTime":150.15,"body":"And I know that 7/8 is at"},{"speaker":"Kim","startTime":146.85,"endTime":150.15,"body":"87.5%."},{"speaker":"Pam","startTime":151.14,"endTime":152.28,"body":"How do you know that?"},{"speaker":"Kim","startTime":153.21,"endTime":158.67,"body":"I must have known that an"},{"speaker":"Kim","startTime":153.21,"endTime":158.67,"body":"eighth is 12.5 percent."},{"speaker":"Pam","startTime":159.21,"endTime":159.72,"body":"Okay."},{"speaker":"Kim","startTime":159.78,"endTime":166.86,"body":"And so, I Have, You Need"},{"speaker":"Kim","startTime":159.78,"endTime":166.86,"body":"between 12.5 percent and 100% is"},{"speaker":"Kim","startTime":167.31,"endTime":168.39,"body":"87.5%."},{"speaker":"Pam","startTime":168.75,"endTime":173.46,"body":"Okay, can we just. Like,"},{"speaker":"Pam","startTime":168.75,"endTime":173.46,"body":"how do you know that 12.5% is an"},{"speaker":"Pam","startTime":173.46,"endTime":176.4,"body":"eighth? How do you know that? I"},{"speaker":"Pam","startTime":173.46,"endTime":176.4,"body":"mean, maybe you just know it,"},{"speaker":"Pam","startTime":176.4,"endTime":177.57,"body":"but maybe for listeners."},{"speaker":"Kim","startTime":177.72,"endTime":182.19,"body":"You could half, half, half."},{"speaker":"Kim","startTime":177.72,"endTime":182.19,"body":"So, half is 50%."},{"speaker":"Both Pam and Kim","startTime":183.29,"endTime":184.31,"body":"Half of that"},{"speaker":"Both Pam and Kim","startTime":183.29,"endTime":184.31,"body":"is?"},{"speaker":"Kim","startTime":184.43,"endTime":188.27,"body":"Twenty-five percent and"},{"speaker":"Kim","startTime":184.43,"endTime":188.27,"body":"then, half of that is 12.5%."},{"speaker":"Pam","startTime":189.2,"endTime":192.44,"body":"So, that's an eighth 1/8 is"},{"speaker":"Pam","startTime":189.2,"endTime":192.44,"body":"12.5%. Cool. Cool. Okay, so how"},{"speaker":"Pam","startTime":192.44,"endTime":196.19,"body":"do you know what 150% minus"},{"speaker":"Pam","startTime":192.44,"endTime":196.19,"body":"87.5% is?"},{"speaker":"Kim","startTime":196.61,"endTime":200.616,"body":"So, here's where I did a"},{"speaker":"Kim","startTime":196.61,"endTime":200.616,"body":"similar strategy. I found the"},{"speaker":"Kim","startTime":200.69,"endTime":204.994,"body":"distance between those two"},{"speaker":"Kim","startTime":200.69,"endTime":204.994,"body":"amounts. That's similar to what"},{"speaker":"Kim","startTime":205.068,"endTime":209.817,"body":"you were thinking, I think. And"},{"speaker":"Kim","startTime":205.068,"endTime":209.817,"body":"so, 87.5% to get to 100% is that"},{"speaker":"Kim","startTime":209.891,"endTime":213.972,"body":"12.5%. And then, from 100 to"},{"speaker":"Kim","startTime":209.891,"endTime":213.972,"body":"150% is another 50%. So, I"},{"speaker":"Kim","startTime":214.046,"endTime":218.795,"body":"actually left my answer as 37.5%"},{"speaker":"Kim","startTime":214.046,"endTime":218.795,"body":". I don't know if that's legal,"},{"speaker":"Kim","startTime":218.869,"endTime":223.543,"body":"but I did. And so, then I would"},{"speaker":"Kim","startTime":218.869,"endTime":223.543,"body":"have to go back and think about"},{"speaker":"Kim","startTime":223.618,"endTime":224.36,"body":"that, and."},{"speaker":"Pam","startTime":224.36,"endTime":225.68,"body":"Well, hang on a second. How"},{"speaker":"Pam","startTime":224.36,"endTime":225.68,"body":"did you get?"},{"speaker":"Kim","startTime":225.68,"endTime":227.78,"body":"Oh, sorry. 62.5%"},{"speaker":"Pam","startTime":228.89,"endTime":230.9,"body":"There we go. Okay."},{"speaker":"Pam","startTime":228.89,"endTime":230.9,"body":"(unclear)"},{"speaker":"Kim","startTime":231.2,"endTime":232.37,"body":"I literally wrote 37.5%."},{"speaker":"Pam","startTime":232.0,"endTime":236.11,"body":"Three eighths, 5/8. What's"},{"speaker":"Pam","startTime":232.0,"endTime":236.11,"body":"the difference? It's all good."},{"speaker":"Pam","startTime":236.38,"endTime":238.24,"body":"That's because you're such an"},{"speaker":"Pam","startTime":236.38,"endTime":238.24,"body":"Over girl. You were thinking, \"I"},{"speaker":"Pam","startTime":238.24,"endTime":239.71,"body":"must have gone Over, so I need"},{"speaker":"Pam","startTime":238.24,"endTime":239.71,"body":"to go Under.\""},{"speaker":"Kim","startTime":239.72,"endTime":240.83,"body":"Probably. I don't know. I"},{"speaker":"Kim","startTime":239.72,"endTime":240.83,"body":"don't know."},{"speaker":"Kim","startTime":241.19,"endTime":243.05,"body":"I did write 37.5% though."},{"speaker":"Pam","startTime":243.5,"endTime":245.99,"body":"That's funny. But so then"},{"speaker":"Pam","startTime":243.5,"endTime":245.99,"body":"you're kind of like. Could you"},{"speaker":"Pam","startTime":245.99,"endTime":249.35,"body":"leave an answer at 62.5% or do"},{"speaker":"Pam","startTime":245.99,"endTime":249.35,"body":"you have to switch it back into"},{"speaker":"Pam","startTime":249.35,"endTime":251.9,"body":"eighths? You know, I think"},{"speaker":"Pam","startTime":249.35,"endTime":251.9,"body":"that's an interesting question"},{"speaker":"Pam","startTime":251.9,"endTime":254.87,"body":"that teachers could kind of"},{"speaker":"Pam","startTime":251.9,"endTime":254.87,"body":"answer for themselves. Ideally,"},{"speaker":"Pam","startTime":254.9,"endTime":259.25,"body":"we would want kids to be able to"},{"speaker":"Pam","startTime":254.9,"endTime":259.25,"body":"switch back and forth flexibly"},{"speaker":"Pam","startTime":259.25,"endTime":261.89,"body":"between them. And as long as"},{"speaker":"Pam","startTime":259.25,"endTime":261.89,"body":"they can, then maybe we kind of"},{"speaker":"Pam","startTime":261.89,"endTime":265.19,"body":"don't care what they did for a"},{"speaker":"Pam","startTime":261.89,"endTime":265.19,"body":"particular problem. But yeah,"},{"speaker":"Pam","startTime":265.19,"endTime":266.54,"body":"what we want is the flexibility."},{"speaker":"Kim","startTime":266.57,"endTime":267.23,"body":"Yeah."},{"speaker":"Pam","startTime":267.53,"endTime":267.8,"body":"Cool."},{"speaker":"Kim","startTime":267.8,"endTime":268.34,"body":"Excellent."},{"speaker":"Pam","startTime":268.46,"endTime":268.82,"body":"Nice."},{"speaker":"Kim","startTime":268.82,"endTime":271.82,"body":"Alright, well we can't wait"},{"speaker":"Kim","startTime":268.82,"endTime":271.82,"body":"to hear what you did. Maybe you"},{"speaker":"Kim","startTime":271.82,"endTime":274.1,"body":"solved the problem like me, or"},{"speaker":"Kim","startTime":271.82,"endTime":274.1,"body":"maybe you solved the problem"},{"speaker":"Kim","startTime":274.1,"endTime":277.4,"body":"like Pam, or something entirely"},{"speaker":"Kim","startTime":274.1,"endTime":277.4,"body":"different. Represent your"},{"speaker":"Kim","startTime":277.4,"endTime":279.98,"body":"thinking. Take a picture of your"},{"speaker":"Kim","startTime":277.4,"endTime":279.98,"body":"work or screenshot your phone,"},{"speaker":"Kim","startTime":279.98,"endTime":282.59,"body":"and tell the world on social"},{"speaker":"Kim","startTime":279.98,"endTime":282.59,"body":"media. And while you're there,"},{"speaker":"Kim","startTime":282.62,"endTime":285.23,"body":"check out what other people did"},{"speaker":"Kim","startTime":282.62,"endTime":285.23,"body":"and comment on their thinking."},{"speaker":"Pam","startTime":285.72,"endTime":288.12,"body":"Yeah. And tag me on"},{"speaker":"Pam","startTime":285.72,"endTime":288.12,"body":"Twitter: @PWHarris. Or"},{"speaker":"Instagram","startTime":288.12,"endTime":291.63,"body":"PamHarris_math. Or"},{"speaker":"Instagram","startTime":288.12,"endTime":291.63,"body":"Facebook: Pam Harris, author,"},{"speaker":"Instagram","startTime":291.63,"endTime":296.4,"body":"mathematics education. And use"},{"speaker":"Instagram","startTime":291.63,"endTime":296.4,"body":"the #MathStratChat. And make"},{"speaker":"Instagram","startTime":296.4,"endTime":298.74,"body":"sure you check out the"},{"speaker":"Instagram","startTime":296.4,"endTime":298.74,"body":"MathStratChat problem that we'll"},{"speaker":"post next Wednesday at 7","startTime":298.74,"endTime":302.58,"body":"00 p.m."},{"speaker":"post next Wednesday at 7","startTime":298.74,"endTime":302.58,"body":"Central time, and then pop back"},{"speaker":"post next Wednesday at 7","startTime":302.58,"endTime":306.33,"body":"here to hear what we're thinking"},{"speaker":"post next Wednesday at 7","startTime":302.58,"endTime":306.33,"body":"about the problem. We love"},{"speaker":"post next Wednesday at 7","startTime":306.33,"endTime":308.7,"body":"having you as part of the Math"},{"speaker":"post next Wednesday at 7","startTime":306.33,"endTime":308.7,"body":"is Figure-Out-Able movement!"},{"speaker":"post next Wednesday at 7","startTime":308.94,"endTime":311.97,"body":"Let's keep spreading the word"},{"speaker":"post next Wednesday at 7","startTime":308.94,"endTime":311.97,"body":"that Math is Figure-Out-Able!"}]}