{"version":"1.0.0","segments":[{"speaker":"Pam Harris","startTime":1.02,"endTime":3.54,"body":"Hey fellow"},{"speaker":"Pam Harris","startTime":1.02,"endTime":3.54,"body":"mathematicians. Welcome to the"},{"speaker":"Pam Harris","startTime":3.54,"endTime":6.93,"body":"podcast where Math is"},{"speaker":"Pam Harris","startTime":3.54,"endTime":6.93,"body":"Figure-Out-Able. I'm Pam."},{"speaker":"Kim Montague","startTime":7.26,"endTime":7.95,"body":"And I'm Kim."},{"speaker":"Pam Harris","startTime":8.189,"endTime":12.239,"body":"And this episode is"},{"speaker":"Pam Harris","startTime":8.189,"endTime":12.239,"body":"a MathStratChat episode. What is"},{"speaker":"Pam Harris","startTime":12.239,"endTime":15.239,"body":"MathStratChat? Every Wednesday"},{"speaker":"Pam Harris","startTime":12.239,"endTime":15.239,"body":"evening, I throw out a math"},{"speaker":"Pam Harris","startTime":15.239,"endTime":18.089,"body":"problem on Twitter, Facebook and"},{"speaker":"Pam Harris","startTime":15.239,"endTime":18.089,"body":"Instagram. People from all"},{"speaker":"Pam Harris","startTime":18.089,"endTime":21.239,"body":"around the world chat about the"},{"speaker":"Pam Harris","startTime":18.089,"endTime":21.239,"body":"strategies they use. It's super"},{"speaker":"Pam Harris","startTime":21.239,"endTime":22.799,"body":"cool to see everyone's thinking."},{"speaker":"Kim Montague","startTime":23.02,"endTime":26.38,"body":"It's so fun. Okay,"},{"speaker":"Kim Montague","startTime":23.02,"endTime":26.38,"body":"so this Wednesday, our problem"},{"speaker":"Kim Montague","startTime":26.59,"endTime":30.88,"body":"was three fourths of nine. How"},{"speaker":"Kim Montague","startTime":26.59,"endTime":30.88,"body":"would you solve this problem? Go"},{"speaker":"Kim Montague","startTime":30.88,"endTime":33.37,"body":"ahead and pause the podcast."},{"speaker":"Kim Montague","startTime":30.88,"endTime":33.37,"body":"Solve the problem any way you"},{"speaker":"Kim Montague","startTime":33.37,"endTime":37.69,"body":"want. Remember, the problem was"},{"speaker":"Kim Montague","startTime":33.37,"endTime":37.69,"body":"three fourths of nine, solve it"},{"speaker":"Kim Montague","startTime":37.69,"endTime":41.29,"body":"and then come back to here how"},{"speaker":"Kim Montague","startTime":37.69,"endTime":41.29,"body":"we solve it. Ready? Go."},{"speaker":"Pam Harris","startTime":44.32,"endTime":50.23,"body":"All right. So three"},{"speaker":"Pam Harris","startTime":44.32,"endTime":50.23,"body":"fourths of nine, three fourths"},{"speaker":"Pam Harris","startTime":50.23,"endTime":50.92,"body":"of nine."},{"speaker":"Kim Montague","startTime":51.13,"endTime":51.64,"body":"Yeah."},{"speaker":"Pam Harris","startTime":52.03,"endTime":52.93,"body":"I'm gonna go first."},{"speaker":"Kim Montague","startTime":53.08,"endTime":54.04,"body":"Okay, sounds"},{"speaker":"Kim Montague","startTime":53.08,"endTime":54.04,"body":"great."},{"speaker":"Pam Harris","startTime":54.18,"endTime":58.02,"body":"So I'm not sure I"},{"speaker":"Pam Harris","startTime":54.18,"endTime":58.02,"body":"would do this, except I've got"},{"speaker":"Pam Harris","startTime":58.02,"endTime":61.86,"body":"last week's problem ringing in"},{"speaker":"Pam Harris","startTime":58.02,"endTime":61.86,"body":"my head. So last week, we"},{"speaker":"Pam Harris","startTime":61.86,"endTime":68.76,"body":"decided that three fourths of 10"},{"speaker":"Pam Harris","startTime":61.86,"endTime":68.76,"body":"was 7.5. And I have dealt with"},{"speaker":"Pam Harris","startTime":68.79,"endTime":74.79,"body":"three fourths of eight a lot. I"},{"speaker":"Pam Harris","startTime":68.79,"endTime":74.79,"body":"just know that three fourths of"},{"speaker":"Pam Harris","startTime":74.79,"endTime":78.81,"body":"eight is six. So I could talk"},{"speaker":"Pam Harris","startTime":74.79,"endTime":78.81,"body":"about how I know that half of"},{"speaker":"Pam Harris","startTime":78.81,"endTime":82.41,"body":"eight is four. And I just know"},{"speaker":"Pam Harris","startTime":78.81,"endTime":82.41,"body":"three fourths of eight. So"},{"speaker":"Pam Harris","startTime":82.41,"endTime":84.84,"body":"really, I just know it's six,"},{"speaker":"Pam Harris","startTime":82.41,"endTime":84.84,"body":"but if it's four and two, then"},{"speaker":"Pam Harris","startTime":84.84,"endTime":88.5,"body":"that's six. So I know that"},{"speaker":"Pam Harris","startTime":84.84,"endTime":88.5,"body":"there's this linear"},{"speaker":"Pam Harris","startTime":88.5,"endTime":92.4,"body":"relationship, this constant rate"},{"speaker":"Pam Harris","startTime":88.5,"endTime":92.4,"body":"of change relationship that's"},{"speaker":"Pam Harris","startTime":92.4,"endTime":96.51,"body":"between that if I'm dealing with"},{"speaker":"Pam Harris","startTime":92.4,"endTime":96.51,"body":"percents are three fourths of."},{"speaker":"Pam Harris","startTime":96.93,"endTime":99.75,"body":"And so if I'm thinking about"},{"speaker":"Pam Harris","startTime":96.93,"endTime":99.75,"body":"three fourths of nine, if I know"},{"speaker":"Pam Harris","startTime":99.75,"endTime":103.71,"body":"three fourths of eight is six,"},{"speaker":"Pam Harris","startTime":99.75,"endTime":103.71,"body":"and three fourths of 10 is 7.5,"},{"speaker":"Pam Harris","startTime":103.89,"endTime":106.95,"body":"then three fourths of nine is,"},{"speaker":"Pam Harris","startTime":103.89,"endTime":106.95,"body":"since nine is right in between"},{"speaker":"Pam Harris","startTime":106.98,"endTime":109.83,"body":"eight and 10, that three fourths"},{"speaker":"Pam Harris","startTime":106.98,"endTime":109.83,"body":"of it is going to be right in"},{"speaker":"Pam Harris","startTime":109.83,"endTime":114.57,"body":"between six and 7.5. So then I"},{"speaker":"Pam Harris","startTime":109.83,"endTime":114.57,"body":"have to ask myself, what's right"},{"speaker":"Pam Harris","startTime":114.57,"endTime":118.59,"body":"in the middle of six and seven"},{"speaker":"Pam Harris","startTime":114.57,"endTime":118.59,"body":"and a half? Well, there's sort"},{"speaker":"Pam Harris","startTime":118.59,"endTime":122.28,"body":"of one and a half is the"},{"speaker":"Pam Harris","startTime":118.59,"endTime":122.28,"body":"difference there. And half of"},{"speaker":"Pam Harris","startTime":122.28,"endTime":126.66,"body":"one and a half, is point seven"},{"speaker":"Pam Harris","startTime":122.28,"endTime":126.66,"body":"five. I'm actually kind of"},{"speaker":"Pam Harris","startTime":126.66,"endTime":128.82,"body":"thinking about that in money."},{"speaker":"Pam Harris","startTime":126.66,"endTime":128.82,"body":"It's like a buck 50 and half of"},{"speaker":"Pam Harris","startTime":128.82,"endTime":135.48,"body":"that is 75 cents. And so six and"},{"speaker":"Pam Harris","startTime":128.82,"endTime":135.48,"body":"75 cents is 6.75, or six and"},{"speaker":"Pam Harris","startTime":135.48,"endTime":138.18,"body":"0.75. So that is fourths of"},{"speaker":"Pam Harris","startTime":135.48,"endTime":138.18,"body":"nine."},{"speaker":"Kim Montague","startTime":139.2,"endTime":142.56,"body":"So, I've been"},{"speaker":"Kim Montague","startTime":139.2,"endTime":142.56,"body":"trying not to laugh, because I'm"},{"speaker":"Kim Montague","startTime":142.56,"endTime":145.05,"body":"smiling, because I did almost"},{"speaker":"Kim Montague","startTime":142.56,"endTime":145.05,"body":"exactly the same."},{"speaker":"Pam Harris","startTime":145.0,"endTime":146.41,"body":"Is that yours? No"},{"speaker":"Pam Harris","startTime":145.0,"endTime":146.41,"body":"way."},{"speaker":"Kim Montague","startTime":146.41,"endTime":147.13,"body":"Yes. Okay."},{"speaker":"Pam Harris","startTime":147.13,"endTime":148.15,"body":"We never do the"},{"speaker":"Pam Harris","startTime":147.13,"endTime":148.15,"body":"same."},{"speaker":"Kim Montague","startTime":148.18,"endTime":151.105,"body":"I know that's so"},{"speaker":"Kim Montague","startTime":148.18,"endTime":151.105,"body":"funny, right? Because the eight,"},{"speaker":"Kim Montague","startTime":151.164,"endTime":155.044,"body":"I just thought about what I knew"},{"speaker":"Kim Montague","startTime":151.164,"endTime":155.044,"body":"about the eight and ten also and"},{"speaker":"Kim Montague","startTime":155.104,"endTime":158.865,"body":"nine being right in the middle."},{"speaker":"Kim Montague","startTime":155.104,"endTime":158.865,"body":"But I will say that another one"},{"speaker":"Kim Montague","startTime":158.924,"endTime":162.566,"body":"pinged for me, right kind of at"},{"speaker":"Kim Montague","startTime":158.924,"endTime":162.566,"body":"the very end when I was like,"},{"speaker":"Kim Montague","startTime":162.625,"endTime":166.386,"body":"\"Oh, yeah, I know, three fourths"},{"speaker":"Kim Montague","startTime":162.625,"endTime":166.386,"body":"of three.\" And so I don't know"},{"speaker":"Kim Montague","startTime":166.446,"endTime":170.027,"body":"why it came to me that I know"},{"speaker":"Kim Montague","startTime":166.446,"endTime":170.027,"body":"three fourths of three instead"},{"speaker":"Kim Montague","startTime":170.087,"endTime":171.58,"body":"of three fourths of nine."},{"speaker":"Pam Harris","startTime":171.85,"endTime":174.19,"body":"Wait a minute. I'm"},{"speaker":"Pam Harris","startTime":171.85,"endTime":174.19,"body":"not sure I know three fourths of"},{"speaker":"Pam Harris","startTime":174.19,"endTime":175.51,"body":"three. What's three fourths of"},{"speaker":"Pam Harris","startTime":174.19,"endTime":175.51,"body":"three?"},{"speaker":"Kim Montague","startTime":175.0,"endTime":178.198,"body":"I don't know why I"},{"speaker":"Kim Montague","startTime":175.0,"endTime":178.198,"body":"know that. It's $2.25. I think"},{"speaker":"Kim Montague","startTime":178.263,"endTime":179.83,"body":"it's because it's money."},{"speaker":"Pam Harris","startTime":179.0,"endTime":184.49,"body":"Huh? Well, let me"},{"speaker":"Pam Harris","startTime":179.0,"endTime":184.49,"body":"think for a second. So three"},{"speaker":"Pam Harris","startTime":179.0,"endTime":194.84,"body":"So if three fourths of three is"},{"speaker":"Pam Harris","startTime":179.0,"endTime":194.84,"body":"two and a quarter, $2.25, then"},{"speaker":"Pam Harris","startTime":184.52,"endTime":188.33,"body":"fourths of, you've got me"},{"speaker":"Pam Harris","startTime":184.52,"endTime":188.33,"body":"thinking in terms of quarters,"},{"speaker":"Pam Harris","startTime":188.36,"endTime":191.42,"body":"three fourths of 12 quarters."},{"speaker":"Pam Harris","startTime":188.36,"endTime":191.42,"body":"And then there's the three"},{"speaker":"Pam Harris","startTime":191.42,"endTime":195.2,"body":"fourths of 12 is really nice."},{"speaker":"Pam Harris","startTime":191.42,"endTime":195.2,"body":"That's nine. And so nine"},{"speaker":"Pam Harris","startTime":194.87,"endTime":214.37,"body":"you could just scale up by three"},{"speaker":"Pam Harris","startTime":194.87,"endTime":214.37,"body":"to get three fourths of nine."},{"speaker":"Pam Harris","startTime":195.2,"endTime":198.68,"body":"quarters is two and a quarter,"},{"speaker":"Pam Harris","startTime":195.2,"endTime":198.68,"body":"2.25. Okay, so I can buy your"},{"speaker":"Pam Harris","startTime":198.68,"endTime":201.59,"body":"three quarters of, three fourths"},{"speaker":"Pam Harris","startTime":198.68,"endTime":201.59,"body":"of three. I was trying to say"},{"speaker":"Pam Harris","startTime":201.59,"endTime":202.73,"body":"fourths and quarters at the same"},{"speaker":"Pam Harris","startTime":201.59,"endTime":202.73,"body":"time."},{"speaker":"Pam Harris","startTime":215.06,"endTime":217.61,"body":"And three times two and a"},{"speaker":"Pam Harris","startTime":215.06,"endTime":217.61,"body":"quarter is?"},{"speaker":"Kim Montague","startTime":218.26,"endTime":219.28,"body":"6.75."},{"speaker":"Pam Harris","startTime":219.85,"endTime":224.62,"body":"(unclear) Yeah, like"},{"speaker":"Pam Harris","startTime":219.85,"endTime":224.62,"body":"I said that on purpose, two and"},{"speaker":"Pam Harris","startTime":224.62,"endTime":227.92,"body":"one quarter, three of those"},{"speaker":"Pam Harris","startTime":224.62,"endTime":227.92,"body":"would be six and three quarters."},{"speaker":"Pam Harris","startTime":228.1,"endTime":229.57,"body":"It's a way of thinking about"},{"speaker":"Pam Harris","startTime":228.1,"endTime":229.57,"body":"that."},{"speaker":"Kim Montague","startTime":229.75,"endTime":230.08,"body":"Yeah."},{"speaker":"Pam Harris","startTime":230.099,"endTime":232.028,"body":"Nice. All right. So"},{"speaker":"Pam Harris","startTime":230.099,"endTime":232.028,"body":"we've shared a couple"},{"speaker":"Pam Harris","startTime":232.075,"endTime":235.041,"body":"strategies. We purposely decided"},{"speaker":"Pam Harris","startTime":232.075,"endTime":235.041,"body":"not to share all the different"},{"speaker":"Pam Harris","startTime":235.088,"endTime":238.289,"body":"ways that we can think about the"},{"speaker":"Pam Harris","startTime":235.088,"endTime":238.289,"body":"problem. So we'll leave it at that."},{"speaker":"Kim Montague","startTime":238.45,"endTime":241.24,"body":"Yeah. So we can't"},{"speaker":"Kim Montague","startTime":238.45,"endTime":241.24,"body":"wait to see your strategy. And I"},{"speaker":"Kim Montague","startTime":241.24,"endTime":243.76,"body":"wonder if your strategy was like"},{"speaker":"Kim Montague","startTime":241.24,"endTime":243.76,"body":"one of ours or something"},{"speaker":"Kim Montague","startTime":243.76,"endTime":247.0,"body":"entirely different. Represent"},{"speaker":"Kim Montague","startTime":243.76,"endTime":247.0,"body":"your thinking, take a picture of"},{"speaker":"Kim Montague","startTime":247.0,"endTime":249.46,"body":"your work, or screenshot your"},{"speaker":"Kim Montague","startTime":247.0,"endTime":249.46,"body":"phone and tell the world on"},{"speaker":"Kim Montague","startTime":249.46,"endTime":252.28,"body":"social media. And while you're"},{"speaker":"Kim Montague","startTime":249.46,"endTime":252.28,"body":"there, check in what other"},{"speaker":"Kim Montague","startTime":252.28,"endTime":254.08,"body":"people did and comment on their"},{"speaker":"Kim Montague","startTime":252.28,"endTime":254.08,"body":"thinking."},{"speaker":"Pam Harris","startTime":254.41,"endTime":257.17,"body":"Yeah, so tag me on"},{"speaker":"Pam Harris","startTime":254.41,"endTime":257.17,"body":"Twitter at PW Harris or"},{"speaker":"Pam Harris","startTime":257.17,"endTime":260.98,"body":"Instagram Pam Harris_math or on"},{"speaker":"Pam Harris","startTime":257.17,"endTime":260.98,"body":"Facebook, Pam Harris, author,"},{"speaker":"Pam Harris","startTime":260.98,"endTime":265.18,"body":"mathematics education, and make"},{"speaker":"Pam Harris","startTime":260.98,"endTime":265.18,"body":"sure you use the hashtag"},{"speaker":"Pam Harris","startTime":265.3,"endTime":268.9,"body":"MathStratChat. And make sure you"},{"speaker":"Pam Harris","startTime":265.3,"endTime":268.9,"body":"check out the MathStratChat"},{"speaker":"Pam Harris","startTime":268.9,"endTime":272.2,"body":"problem that we post next"},{"speaker":"Pam Harris","startTime":268.9,"endTime":272.2,"body":"Wednesday at 7pm Central Time,"},{"speaker":"Pam Harris","startTime":272.5,"endTime":275.05,"body":"and then pop back here to hear"},{"speaker":"Pam Harris","startTime":272.5,"endTime":275.05,"body":"how we're thinking about the"},{"speaker":"Pam Harris","startTime":275.05,"endTime":278.08,"body":"problem. We love having you as"},{"speaker":"Pam Harris","startTime":275.05,"endTime":278.08,"body":"part of the Math is"},{"speaker":"Pam Harris","startTime":278.11,"endTime":280.81,"body":"Figure-Out-Able movement. Let's"},{"speaker":"Pam Harris","startTime":278.11,"endTime":280.81,"body":"keep spreading the word that"},{"speaker":"Pam Harris","startTime":280.81,"endTime":282.58,"body":"Math is Figure-Out-Able"}]}