In this representation there are 3 groups of ten apples and 4 leftover. True or False?

How many groups of ten apples are there in this representation?

How many groups of ten squares are there in this representation?

This image represents 4 groups of ten. True or False?

Exploring 2-digit numbers by grouping in tens

Key Stage 1

Maths

Numbers within 100

﻿Hello everybody, I'm Miss Hughes and welcome to today's session. I'm really excited to be learning with you today because we're going to be looking at part of a unit called numbers within 100. In today's lesson, our objective is going to be exploring 2-digit numbers by grouping in tens. And I know you're going to be fantastic. So let's get started. Okay, so for today's lesson, you are going to need a pencil and you're also going to need some paper. It might also be worth having a rubber with you just in case. So pause the video now and get this equipment if you haven't already got it with you. Okay then, let's have a look at what we're going to be learning about in today's lesson. So, we're going to start off by looking at grouping different items into tens and ones as part of our new learning. Next, we will be thinking about the different strategies we can use to problem solve. And then we will explore groups and leftovers together. Finally, you're going to get a chance to go through an independent task and the challenge and the answers. Then finally, you're going to take your quiz to see how much you have remembered. So before we go into our learning for our lesson, I thought I'd start us off with a bit of brain teaser. I love things like this because they really make us think. So I want you to have a look at the big picture that is on the screen now. And you can see it's a picture of a market stall. And I have a market seller selling lots and lots of fruit. So very, very healthy. I want you to have a think now, what do you notice about how the fruit has been grouped together? I'm going to give you about five seconds thinking time and then we're going to talk about it together. You can pause the video here if you'd like to look at the picture in more detail. Hmm, well I can see by looking at the fruit stall and I'm going to start with the oranges. If I look at my oranges in the middle, they've grouped really specifically. I can see first one group of 100 oranges, then here I can see three groups of 10 oranges, 10, 20, 30. And then I can see five single oranges, one, two, three, four, five. Looking at my apples over here, I can see something similar. I can see that I have four groups of 100 apples. So 100, 200, 300, 400. And then I can see I've got eight groups of 10 apples, 10, 20, 30, 40, 50, 60, 70, 80. And then I can see I have seven single apples, one, two, three, four, five, six, seven. I can see a similar pattern with my cherries or maybe the strawberries. I can also see a similar pattern with my bananas and my blueberries. Did you notice that some of the fruit was grouped in tens and ones? Good job if you noticed it, it's going to help us a lot with today's lesson. Okay, let's have a think about our new learning for today. I'm just going to move myself down here so that I'm not in the way of our really important question. Look at that magic. Okay, so in our new learning, we're going to be thinking about a lady called Gemma. Now Gemma, just like the gentleman in the slide before, is a fruit seller and she has a fruit market stall. On her market stall she has lots of fruit including apples and she likes to sell her fruit in bags of 10. So as you can see here, I've got an example of a bag that Gemma would sell on her fruit stall on bags of 10 apples. Let's count just to make sure, one, two, three, four, five, six, seven, eight, nine, ten. Fantastic. She has got 10 apples. At the start of the day, Gemma has 34 apples altogether. And what we're going to be thinking about today is this question in blue. If Gemma has 34 apples altogether, how many groups of 10 would Gemma be able to sell? There are two questions at the bottom of our screen that are going to help us answer this question today. The first one is, how many apples does Gemma have altogether? And how many pieces of fruit fit in each bag? I'd like you to pause the screen for a moment to have a little think about how you would go about answering this question. What strategies might you use to figure out how many groups of 10 Gemma would be able to sell of apples on her market stall. Okay, let's think then. How are we going to work out this problem? Well, I simply need to think about the questions down at the bottom. So let's have a look at the first one. How many apples does Gemma have altogether? So I've got the word altogether down here. And that's really helpful because that tells me that I'm thinking about a total. I know that altogether means total. And I know that Gemma in total has 34 apples. So let's have a look at what that might look like. Brilliant, there are my 34 apples. Okay, now I need to think about how many pieces of fruit fit in each bag. Now if you remember back to my earlier slide, Gemma said that she likes to sell bags in groups of 10. Okay, she likes to have 10 pieces of fruit in each bag. That means that 10 apples will fit in each bag. So now I want to group my apples in groups of 10. Let's have a look what that might look like. Okay, that's one group of 10 apples. Let's count to double check, one, two, three, four, five, six, seven, eight, nine, ten. That's two groups of 10. That's three groups of 10. So I've got 10, 20, 30 apples. Remember she had 34 altogether. So that means I have four apples leftover. So to answer my question, how many groups of 10 apples would Gemma be able to sell? She would be able to sell one, two, three groups of 10 apples, and she will have four leftover. I haven't got 10 apples here, so I can't group them into one group of 10. You could have also represented your answer in this way where I've grouped my tens by circling them. Okay, so let's have a look. I've got my 34 apples here, the 34 apples that Gemma started off with. And I've circled them in groups of 10. So I have 10, 20, 30, 31, 32, 33, 34. Okay, I still have three groups of 10 and four leftover. And you can see I've got that written down here, three groups of 10, and four apples leftover. Well done if in your thinking time you realised that there will be three groups of 10 and four apples leftover. I think we're ready for a brand new problem. So let's have a look at our next one. Okay, at the beginning of the day, Gemma has 23 oranges. And you can see I've got 23 oranges written over here. And we still want to know, looking at this blue question, how many groups of 10 would Gemma be able to sell of oranges? Okay, so, just like last time, I'm going to need to count out my oranges and altogether I know I have a total of 23 oranges. I don't actually have any oranges with me. So instead I'm going to use orange squares. Okay, you might want to use something like dots to represent your fruit today. You don't have to get lots and lots of fruit. Okay, so I've got my orange squares to represent my 23 oranges. Okay, now I'm going to group the squares into groups of 10. Here we go, I've got one group of 10 oranges, two groups of 10 oranges. And now I have three leftover. Let's double check and count them just to make sure we've got 23 oranges. 10, 20, 21, 22, 23. Brilliant. I have 23 oranges and I can see that Gemma would need two groups of 10 oranges. So I've got that written down there, two groups of 10 oranges, and there will be three left over. Now it's your turn in this part of our new learning to have a go at some questions yourself. If you have cubes at home or counters then you can definitely use these to help you with this task. But definitely don't worry if not, because you can try using the dot method on your piece of paper or drawing small squares like I have done in my examples. So, in our first problem Gemma has 39 apples. And we want to know how many groups of 10 there will be for 39 apples. So you're answering this blue question over here. Once you've completed that question, I want you to have a look at this next example where Gemma has 47 satsumas. And again, you're going to need to work out how many groups of 10 satsumas there will be for 47 satsumas. Pause the video now to have a go at these questions, then press play when you're ready to continue. Good job team. Let's have a look at the answers. But I'm so impressed with all this hard work. Okay, so for 39 apples, there will be three groups of 10 and nine leftover. Here's how I grouped mine. I have my three groups of 10 and my nine apples leftover, let's count them just to make sure. 10, 20, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39. So I've got my 39 apples altogether. Okay, let's have a look at the next one. Gemma has 47 satsumas. So there will be four groups of 10, 10, 20, 30, 40 and seven leftover. Let's have a look at how I grouped mine again. Okay, here we go. I've got my squares to represent my satsumas and you can see I've got four groups of 10 and my seven leftover, 10, 20, 30, 40, 41, 42, 43, 44, 45, 46, 47. Did you get the same answers as me? Good job, guys, fantastic work. You could have also represented your new learning in this way. So as you can see in my first example, I've grouped or circled my dots in groups of 10. So I've got one group of 10, two groups of 10, three groups of 10, and nine left over. And then if you look at my satsuma example, I've got, oh, in fact, I've got a mistake on here, I should have four groups of 10 and then seven left over. Right then team, we're going to use these representations and strategies of grouping in tens that we've learned so far in our new learning to help us with our developed learning. Okay, let's have a look at our first question, and just like magic, I should hopefully pop up on the screen. Tada, here I am. Okay, so we're looking at our very first question at the top here. Gemma has three bags of apples and five more apples leftover. How many apples has she got altogether? To answer this question, we're going to have a look at some of these questions down below, because these are going to help us pick out some very important information in our question. This first one says, how many groups of 10 apples are there? And the next one says how many leftover apples are there? So let's have a look at this first one. How many groups of 10 apples in are there? Well, if I look back at my question, it tells me that Gemma has three bags of apples. So that means she's going to need three groups of 10 apples, because she sells her fruit in bags of 10. So let's represent that here. One group of 10, two groups of 10 three groups of 10, brilliant. So I've got my three bags of apples here. Okay, now I need to look at this next question. How many leftover apples are there? Well, my question says that again up here. There are five more apples left over. So I know that there are five leftover apples. So let's count them , one, two, three, four, five. So now I have 30 apples, 10, 20, 30 here, and I've got five leftover. So altogether, I've got 35 apples, 10, 20, 30, 31, 32, 33, 34, 35. Remember the word altogether means total. So I want to know the total amount of apples that Gemma has. So if she has three groups of 10, and five left over, she has 35 apples, because 30 plus five is equal to 35. Okay, so in this problem, at the end of the day, Gemma counted her pears. She had four loose pears and five bags of pears. How many pears has she got altogether? Hmm, we need to be a bit careful with this one because they've changed around the wording and we don't want to get tricked out. So make sure you're reading and thinking about this problem really carefully. Okay. If you remember to answer this problem, we need to think about these questions down below. So let's look at this first one. How many groups of 10 pears are there? Well, if I look back at my question, I can see that there are five bags of pears. So I know that Gemma needs five groups of 10 pears. Let's count those out. There's one group of 10, that's two groups of 10, three groups of 10, four groups of 10, five groups of 10. Remember, Gemma sells her fruit in bags of 10 fruits. Okay, so she's got five bags of pears she needs five groups of 10. So now we've worked that out, we need to think about the second question. And that question says, how many leftover pears are there? Well, from my question, I can see that Gemma has four loose pears. So let's underline that information. Okay, that means there are four pears left over, so let's count those out. One, two, three, four. Okay, but remember, we don't stop there, because our question is asking us how many pears she has got altogether. Remember that altogether word means total. So we need to count up the total number of pears. So I have my five groups of 10, 10, 20, 30, 40, 50. And then my four single pears, 51, 52, 53, 54. So altogether she has 54 pears, because 50 add four is equal to 54. Good work guys, you've been excellent so far, I think you're ready for your independent task. So let's move on. Okay. So in your independent task today, you're going to be doing a very exciting investigation. And I really need your thinking caps on because I'm going to need your help. Using the strategies we have learned today to group tens, you are going to work out this problem for me. Anne has a fruit stall, and she sold her fruit in bags with 10 pieces of fruit in each one. You need to work out how many groups of 10 fruit she's able to put out on her stall altogether. Once you have completed that independent task, you're then going to have a go at an exciting challenge. Okay, where we think a little bit more about your developed learning. So I'll read this question. Anne counts the fruit the next day and here is the fruit that she has. And you're going to need to work out how many of each type of fruit does Anne have. Be careful with the way that they've worded these questions, you don't want to get tricked out. Okay, pause the video here to have a go at your two independent tasks. When you're ready to continue, press play and we'll go through the answers together. Good luck, everybody. Fantastic work everybody. I'm going to put my face on the screen to show how pleased I am. Excellent job. Okay, you've worked so hard. And you've helped me out so, so much today with your investigation. So thank you very much. Let's look through the answers. So, if Anne has 26 satsumas on her fruit stall, she is going to need two groups of 10 and six leftover. With 38 strawberries, she's going to need three groups of 10 strawberries, and eight leftover. With 42 bananas, she will need four groups of 10 and two leftover. With 13 kiwis, she will need one group of 10 and three leftover. And finally with 57 peaches, she will need five groups of 10 and seven left over. But that's not the end of our question, because the bottom part asks us how many groups of 10 fruit is she able to put out in her stall. So now we need to add up all of the groups of 10 to find out how many groups of 10 altogether that she can put out on her stall. So let's count them. Two add three is five, add on four is nine, add on one is 10, add on another five is 15. So altogether, she was able to put up 15 groups of 10 fruit. Well done if you've got how many groups of 10 fruits you needed for each type of fruit. Good job. Okay, time to look at the challenge. So this one was a little bit trickier because what we were doing was thinking about how many fruit or how many types of fruit Anne had altogether which was part of our developed learning. So if she had two bags of satsumas and three loose satsumas, we know that she's going to have 23 satsumas altogether. With three bags of strawberries and seven loose strawberries, she's going to have 37 strawberries altogether. With four bags of bananas and five loose bananas, she will need 45 loose bananas. With seven loose kiwis and two bags of kiwis, she will need 27 kiwis. Now that one was a bit tricky and tried trick you out because it's switched over the wording in our question. So let's have a quick look at that again, seven loose kiwis and two bags of kiwis. We know that if Anne is selling her bags with groups of 10 fruit, she's going to need two groups of 10 kiwis, and then she's got seven leftover. Let's have a look at this next one, six loose peaches and four bags of peaches, that tells me I'm going to need four groups of 10 peaches plus six loose peaches. So I'm going to need 46 peaches altogether. Good job, everybody. Let's move on. Okay, team that is the end of our learning for today, and you have worked so hard. I'm super, super impressed, and you should be very proud of yourselves. Now all that's left for you to do is complete the quiz. You've learned so much today so I really want to see what you have remembered. So don't forget to take the quiz when you have finished this video. Good luck, and I'll see you very soon, bye bye. If you would like to share any of your fantastic learning from today, then please ask your parent or carer to share your work on Twitter, tagging @OakNational and #LearnwithOak. I would love to see what you've all been up to in today's lesson.

Exploring 2-digit numbers by grouping in tens

Exploring 2-digit numbers by grouping in tens

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UnitMaths / Numbers within 100

Maths