Week Two Mathematics
Apr 15, 2020
How are you doing? I'm good. How are you? I'm great. I'm great. I've been I've been really enjoying the question that we gave out to our kids. About physical distancing. Yeah, it's also really, really creative answers. I saw, I saw dogs, I saw chairs. I saw a lizard. Someone measured it out in hamsters. It's actually 20 hamsters. We should be staying 20 hamsters apart, which I think is incredible. Some of them were more straightforward, they just found things that were two meters in length. I found someone's dad is two meters tall, so stay at dad's length away. That's right. Stay one motorcycle length away. One eagle length away. Really? With the two meter wingspan. Wow. Someone's door is just two meters tall. Excellent. I'm just looking at some of them right now. And some of them, some people got really specific, too. So you need to stay, you need to stay 8.74 basketballs away. Oh, I love a decimal. That's right. Or 6.25 cats away. Interesting. Interesting. So it's a curious question, right? What is two meters look like? It's hard to visualize two meters, right? When you're told to keep two meters away from a lot of people. But when we put it into perspective by using objects or animals, you know, it's ten birds, it's 20 hamsters. It's two chairs. It's easier to visualize. Right, we can make our own units of measurement. So what I use for my unit of measurement was one calle. And I took my tape measure and I measured out two meters on the ground. And then I stacked one calle after another. And 6 of them equal to two meters. So I need to stay 6 caes away from someone to stay healthy. 6 caes is the same as two meters. Same as two meters. What was your unit of measurement they used, mister australi, my unit? Well, I'm a sparkly guy. I like sparkling water. But they are. And I measured them up. They're 12.5. So what I did is I converted the can length, so one can being 12.5 centimeters, I determined that I could fit 16 cans into the appropriate physical distance two meters. It's pretty straightforward. It's 12.5 times two I found is, oh, 25 centimeters. That's an easier number to work with. 25 times two is 50. So in 50, I have four cans. 50 times four gives me 16 ks. That's my unit. Great. I think we could go further with this. Yeah, what else could we measure? Well, if I wanted to keep exploring my unit of measurement, I could measure something in my room. I can measure this table. So starting from the bottom, we'll put the call on the ground. Yeah. And see how many of them it is tall. So put my finger to mark with that one ends. One, two, three, four, and then two above the top of the E so four, and a little bit. I look at this whole calle that again. And I want to figure out what part of the calle is from the E to the bottom. That last little bit at the table measured. I can look at the whole KA, and I can split it in half. This is about the halfway point, but I still trying to figure out how big this portion is. So if I look at this half, I think this is about the halfway point as well. So if I take this as a halfway point, it will divide this portion into two parts of equal length one, two, three, four. So the portion of the call that represent here is one fourth. One quarter, it's four equal parts of the cay. How tall is the table? So then I could say that it is four, and one quarter Callie is tall. I like that. It's very visual. You've created a unit and you're showing me how to measure with it. On my end, I wanted to try something a little bit different. I took what can, and I wanted to convert units. So I wanted to convert from centimeters to cans. So in order to do that, you have to find an equivalency, meaning I need to find something that is the same as one can. Well, I've already done that. Check it out. One kid, so I determined that one can is 12.5 centimeters, right? Now, if I want to convert that into my height and my height is a 180 centimeters. First of all, what I did is just to make it easier on myself, I started playing with the number 12.5. So I know that two times 12.5 is 25 centimeters. That's an easier number to play with. Much easier. 25 centimeters. Okay, that's good. Now, 25 times two is 50. And I know that means 50 centimeters is four cans. Okay, another 50 is such an easy number to play with. Now I can count up to a hundred, a 150, 12 cans, is a 150 centimeters. How do you know that? Well, 5, 50 centimeters is the same as four cans. So I multiply by three or 50 multiply by three. Whatever I do on this side, I do on this side because this sign just means the same as. So whatever you do on one side, you have to do on the other because it's the same. So 12 K is about a 150. We're still not at my height. So let's go a little bit higher. If I get to 16, I know I've gone too far because that's 200 centimeters. That was our original physical distancing. So all right, let's just add two K 'cause that's 25 centimeters. To my 12 cans. That gets me to a 175 centimeters. Close. But we're not exact. So I want to get exact. So I'm going to add one more can. But the problem is when I add one more can to 175 centimeters that gets me to a 187.5 centimeters because my original height of a can was 12.5, right? So I'm somewhere in between fortune and 15 cans. What do I do? I mean, is it a half? You could just, you could estimate that it's 14 and a half cans, somewhere in between. Okay. That's a good estimate. 14 and a half. What's half of 12.5? Okay, so 12.5 divided by two is actually equal to 6.25. Now, a 175 plus 6.25 is the same as a 181.25. It's too big. So I need to go smaller. I know it's in between zero and a half a can. Now, I'm going to go back to this understanding that this little equal symbol, that just means the same as. So like I said earlier, when I multiplied 50 by three and four by three to get 12 cans and a 150 cans, I'm going to do the same thing. Just follow along here. If you don't understand, you can always ask a question, so let's go back to the beginning. Two cans is equal to 25 centimeters. I know 25 can be divided by 5 easily. So I do just that. I divide the 25 by 5, and because I have this equal sign, which means same, I do the same on the other side. So two fifths of a can is equal to 25 centimeters divided by 5. So far, so good. Therefore, two fifths of a can is equal to 5 centimeters. 5 centimeters plus one 75. Hot dog, mister roster is 14 and two fifths of a can. Very precise. I love precision. So it is possible. I can turn my unit into a real unit of measurement. And I think that's what we want to do now. We want to let you, the students, take your unit of measurement, whether there's a dog, a bird, whether it was an orange, a measure things and objects in your immediate space. You could use this judge that I use or the strategy that mister ostrov used, or you can use your own strategy if that makes more mathematical sense for you. Sounds good to me. All the information is online. All right, mister Martin, thanks for chatting math with me. Math chats. Match jets. And remember that we're hoping that the students can spend about 40 minutes a day on math learning. So if you're able to finish this question pretty quickly, maybe go back and see if there's more mathematical thinking that you could add to it. Or you can explore other math resources that we've shared with you in the past. Yeah, there's plenty of math games, math websites that you can access on the Internet. Just remember that we want you to really explore mathematical thinking for at least 40 minutes a day.