“Hey guys, Aubrey here. Today I'm doing the Eureka math squared grade three 0:09 module one and this is topic D. In this topic we're going to be learning about 0:16 um we're going to be familiar about the two interpretations of division. So we're just going to deepen our 0:22 understanding of dividing um numbers into groups. So let's get started. This 0:28 is lesson 15. Um, and this is the explanation part. Okay. Number one, Oka 0:36 sorts 15 toy cars into bins. Each bin holds five cards. How many bins does Oka 0:44 use? Okay. So, a circle groups of five to show the cars in each bin. So what 0:53 they did here, they already have 15 cars and they just every five cars they 0:59 circled to make a group since each bin holds five cars. So each circle 1:04 represents one bin. So how many bins does Oka use? 1:09 Well, here for part B, complete the equation statements. 3 * 5 1:17 = 15 cuz the three groups times the five cards is equal to 15 and 15 / 5 equals 1:26 3. So, OKA uses three bins. And C is asking what do the unknowns in the 1:31 equations represent? Circle the correct answer. All right. So, the unknown in 1:38 the equation, what is the unknown? The unknown it's asking how many bins does 1:43 Oka use? So what we don't know is how many bins she uses. 1:50 So um how many bins is the number of groups. So that is the unknown not the 1:56 size of each group since we know each group or each bin holds five cars. So 2:02 that is not the unknown. All right. Now number two. 2:10 So number two, James James 2:16 gives 18 stickers to his friends. He gives three stickers to each friend. How 2:22 many friends get stickers? So a draw a picture represent the problem here. Um 2:28 they did a tape diagram. The total is 18 cuz that's how many stickers he gives 2:33 away and three to each friend. So they just kept on drawing. um blocks of three 2:40 until they reach 18. And at the end they drew six. So that means six friends. 2:48 Now B says complete the equations to find the unknown. 2:55 So 6 * 3 is 18. So 18 / 3 is 6. So that 3:00 means six friends get stickers. Okay. and then add show how you know 3:08 number three 31 + 23 + 19 + 14. So if 3:14 you remember it's kind of like the strategy we used a couple lessons ago where you break apart the number into a 3:21 number bond and then all and then you take each number you 3:28 take out the 10 and the ones and you add it separately. So they separately they 3:33 separated all the tens and ones and they added the tens and then the ones separately and then they added all that 3:40 together at the very end. Okay, next page. So now let's get 3:47 started. This is lesson 15 number one. Amy has 12 pens. She gives two pens to 3:55 each friend. How many friends get pens? So a circle groups of two to show the 4:01 pens each friend gets. All right. So two to each friend. 4:07 So this is one friend. Another friend 4:14 and B. Complete the equations and statement. So 1 2 3 4 5 6 6 * 2 = 12. So 12 divide 4:26 by two 12 pens divide by two to each friend that's six friends. So six 4:32 friends get pens. And C says what do the unknowns in the 4:38 equations represent? So circle the correct answer. So let's see what is the unknown first. The 4:44 unknown is how many friends get pens. So the unknown is the number of groups cuz 4:50 we don't know how many groups of two there are. And we know the size of each 4:56 group since each friend gets two. So that's the size. Okay. All right. Now 5:03 number two. David puts 20 grapes into bowls. He puts five grapes in each bowl. 5:11 How many bowls does he use? All right. So a draw a picture represent the problem. 5:18 20 grapes into bowls and five in each bowl. So first let's draw 20 grapes. 5:39 All right. 20 grapes and five in each bowl. So ball 5:46 bowl full bowl. How many bowls did he does he use? 5:53 So we drew drew a picture and now B complete the equations to find the unknown. 5:58 So 4 * 5 equals 20 cuz four bowls here times five in each bowl. 6:06 So 20 20 total grapes divide by five in each bowl equals four bowls. So David 6:13 uses four bowls. All right. And now next page 6:22 add show how you know. All right. So this is the um the number breaking apart 6:29 strategy. Number three. 21 + 16 + 33 + 12. 6:39 All right. So, I'm going to write that on the side so we can do it on the side. 6:47 33. First thing we want to do is break apart 6:54 all the numbers. Take out the tens and then the ones. 7:02 3 10 two and then we're going to add all 7:08 the tens and all the ones separately. 7:14 10 10. So 20 + 10 is 30. 30 + 10 is 40. 7:22 And then if you add the ones, 7:30 excuse me, where's my one? 7:36 All right, 1 + 6 is 7 and 3 + 2 is 5. So really now I need to 7:43 add this together. 30 + 40 is 70. 7 + 5 is 12. So 70 + 12 is 82. So 82 is our 7:53 answer. 7:58 All right. Now number four. All right. Number four. 14 + 27 + 22 + 8:08 15. So I'm going to write that again on the side. 8:20 equals. And take out the tens and the ones 8:32 10. And then we're going to add the 10 separately. 8:37 So I'm going to do it here this time cuz last time I got all messy. 10 + 20 8:44 + 20 + 10. So that's 8:49 40 + 20 which is 60 and add the ones. 4 8:55 + 7 + 2 + 5. All right. 4 + 7 is 11 + 2 is 13 + 5 is 9:05 18. So now we add 60 + 18 and that'll be 78. 9:13 So 78 is our answer. 14 + 27 + 22 + 15 78. 9:23 All right. And now let's go move on. Lesson 16. 9:29 This is the explanation part. Okay. Number one. Divide 12 birds into groups 9:35 of four. 12 birds. Um, and every four 9:40 birds, we circle them to make a group. How many groups of four are there? 9:45 There's three groups. So, 3 * 4 equals 12. That means 12 the 12 total birds 9:53 divided into groups of four equals three total groups. So, there are three groups 9:58 of four. All right. Here number two. Use the 10:05 redraw right process to solve the problem. Number two, friends sort 24 10:11 note cards into piles. Each pile has four note cards. How many piles of note 10:17 cards do the friends make? So here the tape diagram 10:23 they know we know the total is 24 and the size of each four I mean the size 10:31 the total is 24. The size of each pile is four. So they keep on drawing um 10:37 fours until they reach 24. And then they can find out how many groups of four 10:42 there are to know that 24 / 4 equals 6. So the friends make six piles of note 10:49 cards. All right. Now 10:54 over here says subtract. Use addition to check your work. 11:02 All right. Number three. 711 minus 295. 11:08 So what they did here 71 11:14 they took out 400 and then they took out 300. And the reason they did this is 11:20 because minus 295 295 is close to 300. 11:25 So they took out 300 and 411. So 300 minus 295 is 5. And then they add 11:32 5 to that 411 to get 416. And you might be thinking, 11:39 well, why are they adding back? Isn't it a subtraction problem? Well, they broke 11:44 apart the number, but they already subtracted the 295 here. So they already subtracted what needs to be subtracted. 11:53 And after they subtracted that, they need to add back the part that they took away in the original number from the 12:00 original number. So the answer will be 416. All right. And yeah, let's move on. This 12:07 is lesson 16. All right. Number one. 15 butterflies are divided into groups of 12:14 five. How many groups of five are there? There's 1 2 3 groups. So 3 * 5 = 15. 12:24 That means 15 the 15 butterflies divided into groups of five is equal to three 12:31 groups. So there are three groups of five. 12:36 All right. Pretty simple. Number two. Divide 20 fish into groups of 10. Groups 12:44 of 10. That means each every 10 fish we circle to make a group. Does not mean 12:51 make a total of 10 groups. So there's a difference between groups of 10 and 10 groups. So 1 2 3 4 5 6 7 13:01 Wait, hold on. 1 2 3 4 5 6 7 8 9 10. 13:08 2 3 4 5 6 7 8 9 10. Now 1 2 3 4 5 6 7 8 9 10. All 13:15 right, two perfect groups. So, how many tens are in 20? Well, in 20 13:23 there's 20 fish and we're dividing into groups of 10. And we have two groups right here. So, that means there are two 13:29 groups of 10 um in 20. That means 2 * 10 13:35 = 20. So, 20 / 10 = 2. 13:42 All right. and use the redraw right process to solve the problem. Number 13:49 three, Pablo sorts 36 rocks into piles. Each pile has four rocks. How many piles 13:57 of rocks does he make? All right, let's do a tape diagram. 14:07 We know the total is 36 and each pile has four rocks. So the unknown here, 14:14 what we're trying to figure out is how many piles of rocks does he make? So we can keep on drawing four until we reach 14:21 36. Let's see. 1. 2 14:27 4 8 12 16 14:34 20 24 28 14:41 32 36. All right. So we reached 36. That 14:47 means 1 2 3 four five six seven eight nine piles. So we can do 14:56 4 * 9 = 36. So 36 fish if they're divided into 15:05 groups of four then there's nine groups total. 15:11 So he makes 15:19 nine piles of rocks. 15:27 All right. And yeah, next page. 15:33 Subtract. Use addition to check your work. All right. Number four. 528 minus 15:41 392. So we're going to do what they did. 392 15:46 a close the close the next benchmark number 392 15:52 will be 400. So we're going to take out 400 from here and that gives us 128 left 15:59 over here. We're going to first subtract 400 minus 392 16:05 and that will give us 8. And we already subtracted what needs to be subtracted. 16:11 So then now we have to add back that eight to 128. So 128 + 8 is 136. So 136 is our 16:23 answer. And use addition to check your work. So we can add back 126. 16:30 have 392 I'm not 136 + 136 16:38 2 + 6 is 8 9 + 3 is 12 3 + 1 is 4 + 1 is 16:44 5 so 5 28 5 28 so our answer is correct 16:50 so that is a easy way to use addition to check your work if you ever feel unsure 16:56 about your answer or just want to double check maybe like on tests or anything, 17:01 you can always use addition to double check your work and make sure your answer is correct. 17:07 Hey. All right. Lesson 17 number one. 18 flowers are divided into two equal 17:15 groups. So, how many flowers are in each group? 18 divided into two equal groups. 17:23 So there's 1 2 3 4 5 6 1 2 3 4 5 6 7 8 17:30 9. So there are nine flowers in each group. So 2 * 9 = 18. 17:38 18 / 2 = 9. There are nine flowers in each group. 17:44 All right, pretty simple. Number two, 15 bears are divided into three equal rows. 17:54 All right, so we can see the three rows here. How many bears are in each row? Well, find that 18:02 out. You can just count. 1 2 3 4 5. There's five bears in each row. So, 18:09 three rows times five in each row equals 15 bears. 18:16 All right. And now um 15. So the 15 total bears divide um three equal rows 18:24 equals five in each row. There are five bears in each row. It's pretty simple. 18:33 Next here use the redraw right process to solve 18:38 the problem. Number three, 21 napkins 18:44 are shared equally between three tables. How many napkins are on each table? So 18:50 to solve that, we can do 21 / 3. 18:56 Um, and that's equal to seven. So here they have a tape diagram. So this is what they said. 19:04 They read the problem. Read again. So they drew a tape diagram that has a total of 21 since 21 is the total number 19:12 of napkins and then they separated into three parts cuz there are three um 19:20 there's three tables that are sharing the 21 napkins and they just keep on drawing dots and keep on counting until 19:27 they reach 21. So then for each section the number of dots is the number of 19:33 tissues that um are on the table. So yeah. And now over here says use the 19:42 redraw right process to solve the problem. Deepa makes 42 hats. She make 19:49 17 more hats than Eva. How many hats does Eva make? So 42 19:56 minus 17 like they did over here because first we need to find we need to find 20:02 Eva. So 42 - 17 = 25. So Eva makes 25 20:07 hats. All right. Pretty simple. Now let's get started. This is lesson 20:13 17. Number one. 12 ladybugs are divided into 20:18 three equal groups. How many ladybugs are in each group? 20:24 So 1 2 3 4. There's four in each group. So 3 * 4 = 12. Three equal groups * 4 in 20:34 each group is equal to 12 total ladybugs. So 12 total ladybugs divided into groups 20:42 of three is equal to four in each group. So there are four ladybugs in each 20:47 group. All right. Now over here blank fish are 20:52 divided into blank equal rows. First we need to count one two three four five. 20:59 There's five um in each column. So there's five rows and there's four in 21:06 each row or four columns. So 5 * 4 is 20. So there are 20 fish that that are 21:15 divided into five equal rows. How many fish are in each row? Well, you can 21:21 count 1 2 3 four. So, the five rows times four in each row 21:28 is equal to 20 um fish. So, 20 total fish divided into five rows. 21:37 Um and that means there are four per row. So, there are four fish in each 21:42 row. All right. Now, number three. 21:48 Use the redraw right process to solve the problem. All right. So, RDW 21:55 number three. 18 flowers are shared equally among three bases. How many 22:00 flowers are in each base? All right. So, let's see. 18 flowers. 22:09 Let's draw a tape diagram. The total is 18. 22:16 and it's shared among three vases. So, how many in each vase? We can keep on 22:22 drawing dots and then counting until I reach 18. 22:27 All right. So, 1 2 3 22:34 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18. 22:48 So, 18 total flowers. That means 18 22:54 flowers divided among three vases equals 1 2 3 4 5 six in each vase. 23:03 So there are six 23:10 flowers in each vase. 23:18 All right, next page. 23:24 Use the red draw right process to solve the problem. Number four. Casey 23:31 practices the piano for 62 minutes. She practices the piano 16 minutes more than Gabe. How 23:39 many minutes does Gabe practice the piano? All right, I'm going to make tape 23:44 diagram. C for Casey, 23:50 she practices 62 minutes. And then Gabe practices 60 minutes less since she 23:57 practices 16 minutes more. So the unknown here, what we're trying to figure out is how many minutes Gabe 24:04 practices. And we know this over here is 16. So to do that, let's do 62 - 16. 24:14 and 62 - 16 that will give us 46. 24:21 So that means game practices 24:30 for 46 minutes. 24:37 All right. Now 18. 24:42 This is the explanation part number one. Four friends equally shared 36 jelly 24:49 beans. How many jelly beans will each friend get? A circular tape diagram that 24:55 represents the problem. All right. So 36 jelly beans and we know 25:00 it's being shared among four friends. So this would be the correct answer since they are already divided into four 25:08 sections for the four friends. Um, but this one however they did not do that. 25:13 They just kept on they just wrote one four. So this would be correct if the 25:19 problem was like there was 36 jelly beans and each friend gets four. How 25:24 many friends are sharing it? But in this case what we know is how many friends 25:30 are sharing it. So how many groups they're being into separated into. So we 25:35 know the groups which means you can group it already. So that means this would be the correct answer. 25:44 And now B complete the question and statement. 36 / 4 equ= 9. So each friend 25:55 gets nine jelly beans. So 36 divid into four groups is 9. 26:01 All right. Next page. Use the redraw right process to solve 26:08 each problem. Number two, Mia divides 55 26:13 crackers equally onto five trays. How many crackers are on each tray? 26:20 So 55 divide into five. Um so that's what they did here. And 26:26 then they just divided um 55 into five groups to get 11. So 26:34 there's 11 on each tray. Number three, 26:40 Mr. Lopez has 40 paint brushes for art class. He puts all them on tables. Each 26:48 table gets five paint brushes. How many tables get paint brushes? 26:53 So he puts them all on tables. 40 paint brushes and each table gets five. So how 27:00 many tables? So here what we do know is a total and the amount in each group but 27:06 we don't know the number of groups. So in this case this kind of number this kind of tape diagram would be correct 27:12 and I can keep on drawing five until we reach 40. So 40 / 5 is 8. So eight 27:19 tables get paint brushes. Okay. 27:25 And now over here subtract show how you know 92 - 68. 27:34 So 68 is close to 70. So this is what they did. They did a number line and 27:43 they started at 92 and first they subtract 70 since 68 is close to 70. So 27:51 70 could be a benchmark number and after they subtract 70 they add back the two 27:57 extra that they subtracted. So then total they subtracted 68 still. 28:03 So they added back that two and that's how they got six um 24. 28:13 Okay. All right. Now this is lesson 18. Let's 28:18 get started. Number one, 15 rings are sorted into three equal groups. How many 28:25 rings are in each group? A. Circle the tape diagram that represents the problem. So, first let's figure out what 28:32 we know. We know the total 15 rings and we know um the total number of groups 28:39 since it says it's sorted into three equal groups. So, in that case, this tape diagram would be correct since it's 28:46 separated into three groups. and you just need to find out how many in each group. So this tape diagram is wrong. 28:53 But if the problem was different and we knew the total and the number in each 28:59 group, then this tape diagram would be correct. So now B complete the equation and 29:06 statement. So 15 rings / 3 equals 5 in 29:12 each group. So there are five rings in each group. 29:17 All right. Next part. Use the redraw right process to solve each problem. 29:25 Two. Five friends equally share 35 glow sticks. How many glow sticks does each 29:32 friend get? All right, let's do our tape diagram. 29:39 We know the total and that's 35 glow sticks and it's being shared among five 29:46 friends. So we can keep drawing until we reach 29:51 figure out how many um glow sticks each one gets. 1 2 3 4 5 30:00 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 30:13 21 22 23 24 25 26 27 28 29 30 31 32 33 30:23 34 35 So here 35 glow sticks divide among five 30:31 friends um gives seven glow sticks per friend. 30:36 So that means each friend 30:43 gets seven glow sticks. 30:53 Okay. Now number three. 30:58 The store has 70 books on shelves. There are 10 books on each shelf. How many 31:05 shelves have books? All right. What do we know? We know the total 31:14 of books number of books and that's so many. We know how many in each group cuz 31:20 we know 10 on each shelf. But how many shelves? So I just have 10 here. 31:26 So let's keep drawing to reach 70. 10 20 31:31 30 40 50 60 and 70. So this means 70 books 31:41 divided by 10 on each shelf equals seven 31:46 total shelves. So, seven shelves 31:53 have books. 31:59 All right, next page. Subtract. Show how you know. Number 32:06 four. 64us 37. 32:12 All right. So, we know 37 is close to 40. So, we're going to draw our number 32:17 line, start at 64, going to subract 40, 32:26 and that'll give me 24. But we subtracted too much because we're only 32:31 subtracted. We're only supposed to subtract 37. So, um, 40 is three away 32:37 from 37. So, now we need to add back the three that we subtracted to get 27. 32:46 So that means 64 - 37 is 27. And this is how we know. So yeah, pretty simple. 32:54 This whole topic, these lessons were just more about division and deepening 33:01 our understanding of how it works and um the concept. So yeah and next time we'll 33:08 be going on to topic E which will we'll learn more about the application of 33:14 multiplication and division concepts. So just strengthen our understanding of it again. So yeah. All right. Thank you 33:22 guys so much for watching. I hope this video helps and please don't forget to 33:27 like and subscribe because it really helps out my channel. See you guys next time. Bye.”