Welcome to the webinar, Masked Kangaroos Level 3 and 4, Making a Table Strategies. Welcome and good afternoon to the friends in the East Coast and in California, we have a beautiful Saturday morning. I hope that everybody's ready to see it. All right. So then, everybody, let's start. We are going to go a little bit in our housekeeping, Masked Kangaroo webinars. I'm sorry, but today your microphone should be muted all call through sessions. Nobody can turn on, and also you can't raise your hands today. I'm sorry, but all that question goes to that chat box. And my awesome Artem is going to answer most of them, but not everything, but we try our best, okay? And also, you should have now handout. When you sign up for this course, you have a handout link was sent. If you have not the printout, you have to right now print out. Ask your mom and you need a pencil and some scratch paper that you are going to work with me today, okay? And I'm sorry, I saw a couple of people raising hands. I am not going to pick you. However you raise your hands, I'm seeing that, I'm so sorry, but we cannot today. I'll mute you and ask you a question. All the question goes to that chat box. I still see the three people's hands. I'm sorry, can you please put your hands down? All right, so then let me introduce ourselves. Okay, today's theme is, hello everyone. My name is Mrs. Sharif. I'm a school teacher in California, and I love math kangaroos. I am doing the math kangaroo for many years at school. And math kangaroo, I love it because you know what? We are learning how to solve problem, which is we need. When you grown up an adult, you can become a scientist. You can become an engineer. You can become anyone, but math is very important for you. And I am actually loving to teach kids who wants to be like that, and also who has just joined math kangaroo, and just learning how math is fun. So welcome to our seminar. Okay, next one. Today's, you know, my contributor. I am going to introduce Atom. So Atom, can you unmute? Hello everybody. My name is Arsintur Abarth. I'm a junior. I'm 17 years old. I've been doing math kangaroos since I believe elementary school. So it's always been a part of my life. And, you know, I've been, I've seen some success in math kangaroo. I've been a silver medalist. I've been a national top scorer for the past three years, I believe. And yeah, so one of the things that I do in order to, one of the things that like, has made me like much more successful in like endeavors such as this is the fact that, I mean, on test day, obviously, you know, there's time pressure and everything. So usually I like, if I read a problem and it's too complicated for me to grasp it right away, I move on to the next one. And then I like start it and I move back to it. But the thing is that you should never be scared to attempt problems that you've never seen before because there's no way for you to see all of the different combinations. And that's kind of the point of math kangaroo. It's not like a formula that you remember. It's about knowing how to apply what you know in different ways. And so I think that you should never be scared. And even if you can't solve it, you should just do what you know, do what you know and see how it works out. And oftentimes you'll be able to like eliminate one answer, two answer, maybe make yourself guess better, or maybe just figure out how to answer the question in general. And this goes for everything, like never to like give up right away because a lot of these, all of these problems are possible to solve. And it's just about, you know, thinking in the right way. Oh, thank you so much, Artem. Artem is, he is doing a lot of things. Maybe you see this. He is taking math special exams, which is a little bit more harder than math kangaroo, and also programming. Also he likes fencing and he does robotics. So he is what you maybe want to look up to in when he becomes a, when you become a high schooler. He's awesome. And if you have any question, ask us, please, okay? I'm sorry, hands are down. So let's start with, okay. First of all, we are going to practice paw, okay? We are going to interact with you, not by hands, okay? And maybe you want to show that you're actually working. So can you please practice one time? So paw is, I am going to ask Artem to show the paw. First question is a practice. So what is your favorite, what is your favorite subject in a school? So I know a question. I thought so, wow. But some people says, okay, languages too. Okay, that's surprising. And writing, they love that. Well, that's wonderful. So, and I am going to actually ask you to move this paw window because you're blocking a big part of that. Yes, screen, right? So what you're going to do is, you move your cursor in top of the paw window and grab it, and you're going to move. Can you move it to the right and left so that you can see the questions? Because it's blocking your way, right? So I am going to say, okay, students, I'm going to close the paw in five seconds. Then it's going to be finished. I think everybody finished it, right? Paw is done. I'm going to end paw. But point is that you need to move the windows left and right freely so that you can answer, see the screen, all right? Ms. Sharif, I don't think they can see your entire screen. They only see that one window. Thank you so much. Can you see it? No, they only see like the browser, not everything. Oh, so can they see the poll result or not? You don't see the poll results? I don't know. They can see the poll results, though. Okay. So then I think, you know, right now, math, actually, it's interesting. PE, 22%. That's wonderful. Okay, then, how's this? Artem, I closed the paw. You still see the paw or not? Do you see the paw on the screen? They're typing that they can. I think you have to stop sharing. Oh, you're still showing? I think- There's a button on the poll here. I don't think they can see it anymore, right? Yes. Okay, I say I should stop sharing. Okay, thank you so much. I count on you, really. Okay, then, let's start with four steps of, oops, sorry. Okay, four steps of strategic math practice. When you come to the, maybe you may came to our webinar in the past, so I go quickly. Four-step strategic math practice. One, when you read a question, you must understand what is it asking. So mostly, you have to read the last sentence twice. Two, plan how to solve the problem. That's a strategy that you're going to use. Now, what is the best strategy? Is another question. Number three, carry out your plan. Now, during this process, we are going to do carefully calculate and organize the thoughts and steps so you get the right answer. Lastly, but most importantly, you have to look back and check and reflect just quick, okay? But does this answer make sense? Or did you really answer the question? Could be there is more steps that you should do. So these are the four steps. Math Kangaroo is always emphasizing four steps of strategies. Okay, let's go. Next questions. We are going to answer question. Sorry. I'm sorry. So today's one is making, sorry, I go back. All right. So then, today we are going to warm up question using these four strategies. Okay, Adam, can you read this sentence for me? Sure. For five days, Cassia was helping her mother pick berries. On the first day, she ate most of her berries and gave her mother only one cup of berries. She decided that each day she would be giving her mother twice as much berries as the day before. How many cups of berries did Cassia give her mother in five days? Thank you. So then strategy number one, what's the question? The last sentence. How many cups of berries did Cassia give her mother in five days? Five days, okay. So then next, how I can solve this? You're going to start thinking. What's the strategies? So today we are going to making a table is our strategies target. So we are going to go jot down quick table. So you're going to pull out your handout. You're going to see five boxes. It's written in Monday, or actually first day, second day, all the way to five days. Now, first day, yes, the problem says one cup. So write it down, one cup. Now, question says also, she decided going to give mom twice as much berries as the day before. So when you give today one day, one cup, tomorrow, one times two equal two cups she's going to give. On the third day, two times two, four. Four times two, eight. Eight times two, 16. Actually, but question is not asking which day particularly. It says total five days. So last part is you're going to add up. So the question is, B, 31 cups. That is our strategies. And last one, we are going to reflect. Yes, I answered all five days in a total number, not the one particular day. So that is what we are going to use for steps of strategic math practice. Everybody's good? Okay, I don't see your hands. So, but you see magically you're doing this. All right, then let's go to the next questions. Next question, we are going to focus on our today's making table strategies, okay? So why is the making strategy table is a very good strategies? Because if you create a table, it's quite obvious what's missing, right? And also sometimes the problem does not give you any data. So you have to start making the data one by one from the table columns left all the way to the right. So that is actually, you can keep records how much you make a progress. And also lastly, it's importantly, you can find the patterns by the table. So that is what we are going to work on that. So I'm going to go the first questions in here. And from here, I am going to check making the video setting change. And I'm going to share two screens. I hope it's going to work. Stop sharing one time, share. Okay, Artem, do you see two screens? Yeah. Okay, that's good. Okay, then I'm going to make this one to smaller. So you can see the question is a left side and our paper, the handout is going to the right side. I hope. Do you see it, Artem? Please help me. Do you see it? Yeah, I do. Okay, I'm going to make a little bit more bigger this question side. Okay. Hopefully, it does work, right? Barely fitting, but I think. Okay, so then let's go. All right, so let's start the questions. Artem, can you read the question, please? On Monday morning, a snail fell down a well, which is five meters deep. During the day, it climbs up two meters and during the night, it slides down one meter. On what day of the week will the snail get out of the well? All right, thank you so much. Question, the last sentence. What day the snail come out of the well? So now, first of all, think about this. The snail went down to the bottom of the well and it's at five meters. So you have to climb up the five meters, all right? So Monday, somehow Monday morning, he fell down. So Monday, daytime of the Monday, he climb up two. One, two. But during the nighttime, maybe he was sleeping, he fell two meters back. So height from the ground at the end of the Monday is two minus one equal one meters. Is that correct? Now, on Tuesday, I'm going to climb up again. Let's get out. So now, he goes up two again. Two meters go up. But again, he's going to go down one meter back. So then minus one, and at the end of the Tuesday, he's going to, sorry, actually go like this. Two plus one equals three. How about this? Tuesday, daytime, I go up three meters. But now, I am going to go down minus one. So then, at the end of the Tuesday, you are now at two. So now, if you have good eyes, now you are going to see some patterns. So you keep going. Monday, Tuesday, Wednesday, when he's going to hit the five to get out of the well? All right, so this is four questions. So I give you a little bit time to think, complete that table, continue to work, find the patterns, and you're going to start thinking when they are going to hit number five. All right, then, let's start the poll. Could you please poll a poll? I give you 30 seconds. Everybody's go. Right now, 60% students are participating. Everybody, can you just click? This is a, nobody knows your name. I don't see your name. So just feel free. It's okay to make a mistake, all right? So, all right, so then let's stop it. Okay, now I am going to share. Oops, sorry, I'm going to share. Are you, am I sharing or not? I don't see share. Can you see the poll? No, I think you have to end it first and then we can share it. Thank you. All right, so then I end it and then everybody see the result. Hmm, looks like a Thursday the most. So then Artem, do you think you know why? I think students are minus one, they did it. So some students, why they don't think I disagree Friday and why the answer is actually Thursday? Why is that? So maybe if you have a question, can you please send to the Artem. Problem is that you are confused with the pattern too much. But I think when you hit the number five, he's going to be out. He doesn't have to come down again. So anyway, the Friday students, maybe you have some question. Talk to the Artem, okay? Everybody then let's go to the next questions. All right, okay, next question is, sorry. Next question is a problem of that playing soccer. Okay, just a moment. I'm cleaning up the table. Okay, now, everybody, can you please see this? Both of them, I hope. So I am going to read it. Question is this, next question. In certain soccer tournament, the winning team gets a three points. Losing team gets a zero points. And the case of tie, in case of tie, the both team gets one point. That is a condition. Now, my team played 31 games and received 64 points. There are lots of things now we have a conditions. Now, seven of the games were ties. And how many games did my team lose? It's not win, lose. The point is that there is no winning game is not given. It doesn't say anything about how many games that they win. So we have to use table to organize how we can sort out these all informations in one table. So first of all, there are a lot of things, but you have to go one by one, transfer the data to this table, okay? So we are going to write it down first. The first one, total game number, 31. This was given, he said 31 games. So next one, there are a couple of the blanks now you have to blanks, you have to fill in. So first one, definitely game is going to be tied or game could be lost or game could be won. You won the game. So then three scenarios, situations. Now a question, total points, also they are given. Total points should be 64. So we are going to juggle some number to match these exact combination to make the total point 64. So now, great things. There's a tied number is given, tied, it's a seven. So 31 game out of 31, seven are tied. 31 minus seven, it's a 24. Now, 24 possible combination, how you can make win and loss to make 24 games. But as Artem says, the question is you be more quickly and guess or actually use this choice of the answer. You have only five choices. So why don't you use this to just randomly, just quick and then do it. It hits, then lucky you, you got the right answers. So then let's try that option A. Choice A, it says they did not lose at all, zero. So that means you have out of 31 game, tied seven, lost zero game. So that means you won 24 games. Now they are great team. They won 24, no lose, right? But you have to check how the total point is actually works. Remember, it says, if you tie, you're going to get the one point. So I'm going to write it down, one point, because it says tied. Now, next one, you did not lose. So I think there's no zero, no loss. But one game is 24 games we won. And if you won, you can get just three points. So now seven plus 24 equal. Now you have to do quick math. 24 times three, four times three, 12. You have to keep up, you know, regrouping. Three times two and six plus one, 72 plus seven. So it's just 79. Now you check again, back to this problem. It said 64 points. So this doesn't work. There are too many won. Because there are too many won, because 64 points become now 79. So we are going to say A is not. So next one is B option, okay? Now let's start again. Tied a seven is a no change. Okay, now lost one. Instead of zero, I'm going to go five. Now five game loss. That's still be good, because out of 31, seven tied five loss, that means a 12. 31 minus 12, that means you actually won 19 games. Everyone, quick math is okay, right? Right, 31 and seven plus five, 12. 31 minus 12, that makes 19. Wow, 19 games still win. That's a really good, okay? So then again, tied a 0.7 plus. Next one, I have a 19 games won. 19 times three. Now, quick math, that 19 times three, three times nine, 27. Two, regrouping, hold it. Three times 10, 30 plus two, 57. Now 57 plus seven, that is 64. Yes, we did it. So now 64 is the one. Now everybody, there is another three options, but when you hit the answer, you are in that exam, so I think you are going to keep going quickly, so you don't have to check the next three sentences. Make sure you go back and calculate, and you are going to check it. Adam, I'm going to skip this poll. All right, so then everybody answer yes, actually B. They lost, actually, five games. All right, so then let's move on to the next questions. All right, so then next questions, everybody. Adam, can you please read this, please? A kangaroo noticed that each winter he gains five kilograms of weight, and each summer he loses four kilograms. During the spring and fall, his weight does not change. In the spring of 2008, he weighed 100 kilograms. How much did he weigh in the fall of 2004? Thank you so much. Now this question is, you have to work backwardly. Backwardly means 2008, go back to 2007, six, five, four, you are going to go backwardly. You are going to manipulate the number. So there are two conditions. The kangaroo lose the weight during the summer, and kangaroo get more weight during the winter, because maybe, I don't know, they don't move around, maybe. So then starting point, 2008 spring, he was 100, he's 100. So this is a starting point. Now we are going to backwardly this table. We are not going to go towards 2008. Now we are going to go 2008, and go back to the left columns. I hope that you can see my pointing, but this is a place we have to start working with. All right, let's go. So one more time. So the kangaroo is actually putting more weight during the winter. So at the end of the winter, that 2007, he was 100. Why is that? Because it said spring and fall, they never change it. So 2008, the spring, he was, he is 100. That means end of the winter, it was 100. Everybody's good? Now next one, go backwardly. I hope you can see my pointing things back here. During the fall, there's no change, plus or minus nothing. So I'm going to skip it. Next one, end of the summer. So during the summer, he's going to lose some weight, right? And, but, I'm sorry, end of the, during the summer, you lose your weight, but end of the summer, towards the winter, he's going to get five pound. So back to the summer, he's going to be minus five. He was supposed to be 95, because he was 95, and during the winter, he weighed five pounds, and he got 100 pounds. So now, 95, end of the summer is a 95, and also during the spring, 95 pounds. Now, 2007 is done. So we are going to go one more row up, 2006. Now, end of the winter of 2006, he was actually, here, 95, but during the summer, he lost four pound. So summer's four pound, we are going to add up, return to here. So then I'm going to say, this time, at the end of the winter, 2006, he was 99 pound. Everybody's good? So plus and minus, backwardly. So we are going to think, end of the summer, he was this. So the beginning of the winter, he added, but the wintertime, he's going to be at. So they are going to manipulate one by one, backwardly, and go back to the 2004, and question mark is this. Now, let's start the poll. Everybody starts working, and you're going to, choice is this, 92, 93, 94, 96, 98. Now, you're going to find the patterns and answer. Question is, 2004, during fall. Hatem, please show the poll, please. This time, next. I don't think there's a poll for this question. We don't have a poll? Yeah, for this question, no. Oh, I'm so sorry, okay. It happens. Okay, then, let's wait a little bit. Everybody, then, can you please find out that 2004, fall, how much was that? Okay, then I'm going to start working. So then, end of the summer, it's going to be 94. Can you? Yes, we are going to go find our pattern. Now, you see the pattern, look, 95, 94. You don't have to do almost anything. You're just going to fill in that, that table. All right, all right, I think the answer is, I'm going to say, 92. During that 2004, fall, it was 92 pounds. All right, let's go, kilograms, sorry. Let's start the next questions. Okay, next one, we have a poll. So, let's go to this question. All right, then, again, would you please read it for us, Tim? Peter Rabbit likes cabbage and carrots, and one day, he can eat nine carrots. Only nine carrots, only two cabbages, or one cabbage and four carrots. During one week, Peter ate 30 carrots. How many cabbages did he eat? During one week, Peter ate 30 carrots. How many cabbages did he eat during that week? Okay, thank you so much. There are three choices. How he eats, nine carrots, you see picture up here, or two heads of cabbage, it's a huge one, two of them, or heads, cabbage, and four carrots. So, there are lots of information, but we are going to be, again, put it in a table. So, first of all, there are three ways to eat that food. First one, it's a carrots-only day, right? And next one, I just skipped the second column, the number of cabbages and carrots day. So, I'm going to write it down, cabbage, oops. Let's see, what was that? One more time. So, we are going to go put it here, cabbage, carrots. This is a cabbage and carrots day. Another one is, we are going to do only cabbage day. So, this is only cabbage. And question is not for how many days for cabbage, it is asking, last question, how many cabbage did he eat during that week? So, it's multi-steps, okay? It's not so easy, but few in this table, in the end, you're going to find out how many cabbage he eat. All right, so let's go. Now, if I only eat carrots one day, that means I ate nine. So, I'm going to go, first of all, nine, nine days, nine carrots. Now, they say in all, Peter Rabbit eat 30 carrots. So, we are going to do how many carrots he eat in the combination of cabbage and carrots. Everybody's good? Because carrots only day is a one day, I already ate nine. Peter Rabbit ate eight, nine. And rest of the one he eats with combination with cabbage and carrots. So, I'm going to say here, 30 carrots minus nine. And we got this one equal 20, 21. But it says that he ate cabbage and four carrots. So, I'm going to start thinking, hmm, 21 divide by four, we cannot do that. Because 21 is not the fourth multiples. So, that means this condition does not work. So, we are going to, this one ditch, okay? This doesn't work. Let's go to the carrot two days. So, now, again, you're going to think, if he eat the carrots two days, that means 18 carrots he ate. Now, how many carrots he ate with the cabbage? I'm going to do, one more time, 30 minus 18 carrots, which is 12 carrots left. And if I eat cabbage and carrots, four carrots, some days, and then make it 12, how many days Peter Rabbit ate the cabbage and carrots? So, then you're going to go divide by four carrots. Now, you are going to find out how many days, actually, he ate cabbage and carrots. Now, you're going to find out how many days are only cabbage day. Good, because you know what? 30 minus 18, 12 divided by four, three. Three days, he ate cabbage and carrots. And two days, he ate only carrots. Three plus two, five days, cover, cover. Now, we have seven days a week. You're going to figure out how many cabbage only he ate. And you're going to figure out. All right, then let's start the poll. This one is going to be, we have a poll, right, Artem? Yes, thank you. Then please show the poll. Okay, I'm going to wait a little bit. Right now, 30% students just got the answer. You are so fast. So this question is not asking how many days he ate on the cabbage day. He's there asking, question asking, how many cabbage that rabbit ate? That means you have to find the cabbage from the cabbage and carrots day and cabbage only day. Remember, cabbage only day, he ate two heads of cabbage. So we have to add up, okay? All right, so right now, 60% students answered poll and it's right now one minutes past. So then, let's then stop the poll, okay? Everybody, I'm going to stop the poll, all right. All right, and I'm gonna share the result, go. All right, so then 33% students, you are absolutely super. Your answer is correct because the carrots ate day and then cabbage, carrots, whatever you mixed up and actually the seven cabbages is the answers because three plus two times two, because he ate two cabbage when he ate cabbage only. So it got three plus two times two equals seven. All right, thank you. This is a kind of difficult questions. All right, so then everybody, let's go to the next questions. Okay, next questions. It's a ladybug questions. So I like to ask that, oops, sorry. All right, thank you so much, Artem. Oh, is it okay, I think, yes. The ladybug which live on an enchanted meadow are either red and have six spots or yellow and have 10 spots. Various animals, including both red and yellow ladybugs came to a birthday party for the dragonfly. The dragonfly noticed that the total number of spots on the ladybugs that were at the party was 42. How many ladybugs came to the dragonfly's birthday party? All right, so there are lots of, lots of sentences, but, you know, just we're going to eliminate which is not important. Ladybug live on the enchanted meadow. We don't need it where he lives, but this is important. Red one has six spots and the yellow one has 10 spots. That's a definitely I have to check, okay? Six and 10 spots. Now, also various animal, we don't need it, but we need both red and yellow ladybug came birthday party for, and they spotted the spots. Not the ladybug's number, spots are in all 42. Question, how many ladybug came, including yellow and red to dragonfly who live on the birthday? So, hmm, I am going to answer total number of the ladybug's number, right? So, we are going to figure out which is the first. Yellow ladybug, how many? And then red ladybug, how many? So, you're going to add up, but the clue is only this, spots number. So, we are going to start with thinking. Think about this, you have a lot of spots, especially yellow one has 10 spots, right? If yellow one came, four yellow one came, it's already 40 spots. So, it's not so many ladybug. Also, 42 spots looks like a big number, but you don't have to so much worry. You are going to using the small number. So, I'm going to just randomly, I'm going to start with yellow ladybug one, yellow ladybug came. So, yellow ladybug one, that means six spots. I count six, right? Sorry, 10. I'm sorry, yellow is 10, right? So then, after that, if 10 spots is already seen, the red ladybug is 32 spots. In all, they can actually see 32 spots among all ladybugs. But we are going to divide by, we are going to divide by six. So, one ladybug, sorry, one yellow bug is at 10 spots. We are going to minus, 42 minus 10 equal 32. But 32 is not divisible by six. So, this one does not work, all right? So then, next questions. If I say yellow ladybug is at 2K, if it is at two, their spots should be 20. Now, 42 divided by minus, 42 minus 20, that equal, how many ladybug spots? 22. Now, 22 ladybug spots divided by six. I think we cannot do this. And next try. So, but very close, okay? Number three, because yellow bug is at 10, so that means close to the 42. We cannot, many more than 40. Okay, let's go to the next one. If I say yellow ladybug, three, that means yellow ladybug is at 30 spots. Now, again, how many of the red ladybug spots? 42 minus 30. Now, I think we can start figuring out. Now, and also red ladybug, how many you found it? And we are going to add up. It's a simple one. Okay, so I think I'm going to wait a little bit. Everybody work, finish the calculations. Maybe you can use this time chat. You can write it down. What is the answer? Maybe 10, seven, six, eight, five. What is the total? Both ladybug yellow and red add up. Okay, everybody's going to show me in the chat box, please. All right, everybody's writing. Okay, all right, everybody getting the five. Everybody, cheer yourself, great job. Five is the answers. Okay, thank you so much, everyone. All right, let's go to the next questions. We are going to quickly move on to the next one. Thank you, CD, everybody. I saw five, many, many students chose it. That's wonderful. You are doing great job. Okay, next one. So next one question is a siblings question. So I'm going to ask again. Can you read it for us, Patton? Anna, Bertha, Charlie, David, Anna-Lisa were baking cookies on Friday and Saturday. Over the two days, Anna made 24 cookies. Sorry, sorry, sorry. That's fine. Bertha, 25, Charlie, 26, David, 27, and Alisa, 28. Over the two days, one of them made twice as many cookies as on Friday. One, three times as many, one, four times as many, one, five times as many, and one, six times as many. Who baked the most cookies on Friday? Okay, thank you so much, Patton. Let's go to this. Everyone, let's go to the making table challenging. The bed is the last one. all right okay i'm sorry i switched the numbers okay all right so then there's a five friends um it's always mass kangaroos you know friends have the starting a b c d e right because you know it's easy when you do taking the test you don't have to go to the uh anna berta you don't have to do the every name so go a b c d e and make it simple now anna 24 berta 25 charlie 26 david 27 elisa 28 now if you're good at math and thinking about hmm this number is increasing by one i think you're seeing pattern right so this question is you're going to use divisibility groups so first of all right open your uh the throughout the very last question it says that's number seven the name is on the left side and number of the cookies over the two days they already filled in anna berta charlie everybody's written now what is a two boxes on your right what is the best way that you are going to sort that data so this is a kind of difficult question because what is the best way that i can sort out now the number is two times three times four times five times six times so i am going to use the rules of divisibility so i think we're going to divisible or not so you're going to check divisible what by what number so then what we are looking for we are looking for who bakes the cookies the most on friday right after you found it maybe you may want to go back and check and again we are going to evaluate is this and did i answer the question something like that evaluate right so then let's start with so choice is this two three four five six so i am going to say anna has a 24 cookies what is a number he can divide two three four five not but six yes there are lots of ways i cannot figure out i can leave it next one 25 oh this is easy because divisibility is only five okay everybody can you please all the way down charlie david elisa each one that you know what number he can actually divide because in all saturday and friday both cookies numbers are already here what you're going to find out is by divide by this number and find out what is a friday's number okay i'm going to write it down Yeah, Friday's number of cooks. Okay, so then I like to continue. Charlie has a 26, 26 is you can divide by two, no three, no four, no five, and no six. So actually two is the only one. So you have to decide, okay? He actually baked 26, 26 divided by two. Friday, he baked 30, right? Like this, we are going to now eliminate Anna's possibility. Anna has lots of possibility because her number is very easy to divide by anything, but two is gone. So you're going to check everything and figure out. Now let's go to the, I'm sorry, this is not have a poll. So everybody's finished all calculation in one minute. And can you please start writing if you got the answer. Question, who baked that cookie most on Friday? All right, okay, if you got the answer, just write it down on the chat box. Okay, thank you so much, Ryan, Dylan, Dylan, and Niharika Austin, Aditya, everybody get getting into that. Okay. Thank you so much, everybody. But I saw many people has a different name, too. All right. Okay. Thank you, Isabella. Now, all the students. Now we are going to find out, this is a divisibility rule. So first of all, Anna is divisible, a lot of this, but after combination, please find out six is a number, five, two, three, and four, just a moment. Can you explain from here? Sure, so since it's divisible by four, then that would mean that would be three. And then that would be seven. And then for David, it'd be nine. And then for Berta, it would be five. And then you would just compare the numbers and see which one was bigger, which would be Charlie. Thank you so much. Okay. So the answer was actually that C, Charlie. Thank you so much, everybody. A lot of people choose that one, too. So then let's go back, one question mark. All right. Thank you for reading for me, Atem. Okay. A boy named Peter has as many brothers as sisters. His sister, Anne, has twice as many brothers as sisters. How many children are there in the family? All right. So this question, it looks very simple, but actually, we have a little bit, you know, multi-process. A couple of steps we have to take. Now, everybody, open your table. There are a lot of things we have to organize in this table. First of all, from the perspective of Anna, so Anna has a sister, too. So that definitely, the girl's number is more than two. And also, Anna has twice as many brothers, right, twice as many brothers as sisters. So next one, let's change the perspective to Peter. So I'm going to write it down, this box. You can write it down, Peter's perspective. Now, how many, actually, sisters does Peter have, number of sisters Peter has? Now, this one is including Anna. Sorry, the name is Anne. Another one, so also, Peter has brothers, so now we are going to write it on the next box. How many brothers Peter has? Now, this one is excluding Peter himself, because he is not his brother. So exclude, excluding Peter himself. Now, the next box is, does Peter have the same of the sister and brothers? It says, his sister, sorry, Peter has as many brothers as sisters. That means, when you come up with a combination, you have to satisfy two conditions. And also, Anna has twice as many brothers as sisters. So these are the things that you have to evaluate, and also, you are going to add up. If you figure out brother-sister number, you are going to add up, and you are going to finally answer, how many siblings in a family, okay? So that's a question. So let's start with, now, question is, how many sisters Anna has? And Anna has, except, excluding Anna, so let's start with one. So we are going to say that if he, she has one sister, the condition says, twice as many brothers as sisters she has. So it's going to be one times two, equal two. Now, let's flip that perspective to Peter. Peter has, actually, also sisters. It says, only brothers, sisters number same. So if Ann has one sister, then for Peter, there are, actually, two sisters, because including Ann. All right, then, next one, from Peter's perspective, Anna says, you have two brothers, but he himself, you have to deduct it. So I'm going to say, two minus one, equal one. Peter has one brother, and Peter, and this brother, makes two brothers to Ann. So that means, one, sorry, two brothers, oh, I'm sorry. So then, this is here. The brothers are, actually, the two, and the girls are, actually, two. Does that number is, actually, equal or not? I'm sorry, it's a three. So it's, actually, answer is no. One more time. Ann, and then one more sister. So both girls are two. And brothers, he only have one brother. Peter has one brother. So this does not satisfy his condition. He has as many brothers as sisters. So answer is no, this combination doesn't work. So let's go to the next one. If Ann has two sisters, excluding Anna, that means, in all, two sisters, two times two, equal four, four brothers, she's going to have. And from Peter's perspective, including Ann, there are three sisters there. Now, Ann says, there are four boys, four brothers. Now, exclude Peter. So four minus one equals three. Now, last question was, actually, four. I'm sorry. From this, the table, we are going to figure out, hmm, does the condition meet? That Peter has same number of sister brothers? If it is so, question, how many siblings? How many siblings? Regardless, Ann or Peter, how many kids are in the family? Then let's start the poll. Let's go. Thank you, everybody's doing a great job. Wow, these questions, everybody really go quick. Everybody's doing a great job, really wonderful. Okay, right now, more than 110 students answers and we are almost done, just hanging there. We are going to wrap up and I'm going to let you go on time. All right, let's then, I say 83% participated. Thank you so much. Participation make you really understood better, so try to participate. Okay, then I'm going to end poll and I'm going to share the result. Go. Wow, look at this, almost 50% students got this multi-trip steps question, which very difficult. So answer is E, so then answer is a seven because in that case, we are going to start calculating. The brother is a three and the sisters are, brothers are four and sisters are three. So three plus four equals seven. All right, thank you so much, everyone. Now, today's topic was, we talk about, all about that making table and I am going to review last final things. I'm going to stop one time and then change the setting. Share, single. Okay, everybody, thank you so much. You are so patiently waiting for me. Thank you so much. Here, last final review. So we reviewed four steps method into to making sure answer is correct. Now you locate table, using by table, you find out the missing data and sometimes you create the table and find out what was the pattern or what is that? Actually multi-steps, next step, what is that? You can find out. Now, last one. Everybody, let's do exit tickets. So what is a pattern did you find out? Today's eight question, right? This question was suitable for table strategies. So if you see that question like this in a real exam on March 17, you have to use a table very quickly. Today I made you a template, which is not likely happen. So you have to create a table quickly. Now, what kind of question is suitable for table strategies? Everybody open your chat box. Think about this. There are a lot of missing data when you sorting into the table or whatever, you can write it down. And which questions maybe you enjoyed most today? Which question is actually, oh, I understood. This is a best for, best strategy is a table. Can you please click it? All right. Missing data, I enjoyed the cooking program. Oh, wow. When there is a missing data, we need to use table. I like Peter Rabbit question. Oh, wow, everybody. Oh, I love the soccer. I enjoyed how many siblings. Thank you so much, everyone. Everybody actually participated. Oh, the students. We are going to have one more webinar next Saturday. Oh, I love that. Oh, I want you to read everybody. Thank you, Dylan. Thank you, Ryan. Thank you, everybody. You're great participants. But if next week, can I meet you again the same time? And please re-register, pre-register. And we are going to see and cover. We are going to experimenting and acting out strategies. Thank you so much, everybody. Yes, recording is coming soon. I am going to ask Atim to unmute and find out some questions or anything that do you find out. Well, just great job, everybody. And tables are very important because it's just a way of organizing all of your thoughts. And then you could see everything clearly because usually if it's in like a word problem, so like mumbled, jumbled and words and everything. And here you just see the numbers, you see what's important and you see what you must perform math with. Oh, Atim, thank you so much. I appreciate your help so much. Mrs. Shriff is really not so much good at technology but you always help me. And then all the students, when you become a high schooler, can you come back and then assist like him? You are one of the webinars coordinator and help the teachers. Maybe that's another thing you can do that. Well, thank you so much for your time, everybody. Let's hope that see you next Saturday. Everybody, bye-bye. Have a great afternoon.

math problem-solving

tables strategy

Mrs. Sharif

Artem

math competitions

perseverance

problem-solving skills

Math Kangaroo

real-world problems

webinar