Three and four tenths can be represented as

Recognising Decimal Tenths (Part 1)

Key Stage 2

Maths

Decimals

﻿Hello, my name is Mr. Whitehead. And I'm really excited to be here to start a brand new unit of work with you all about decimals. Before I tell you about the learning for this lesson, it's important to take a little look around you. Are you free of distractions and ready to focus on your learning? Is there a television to go and turn off or a tablet to put on mute to stop any notifications disturbing you? Press pause. If you need to move yourself into a quieter space, please do. I need your full attention for the next 20 minutes or so, as we focus on our maths learning. Press pause and come back when you're ready. Let's get started then. So in this lesson, we are recognising and writing decimal equivalents of any number of tenths. We're going to start off by revisiting some prior learning. Let's have a think about tens as fractions first, and then connect that to tens as decimals before we can look at both of them alongside each other. That should leave us ready then for our first independent task of this new unit to end the lesson. There are a few things that you'll need, a pen or pencil, a ruler, and a piece of paper or a book if your schools provided you with one. Do press pause now if you need to go and get those things, and when you're ready, come back and join me. Let's start off by connecting our knowledge around tenths as fractions, to tenths as decimals. So, here are some shapes, and I'd like you to tell me the fraction that is shaded. Before you tell me any of that, take a look and answer this question for me. What's the same and what's different about what you can see on the page right now? Tell me some things that are different. So that's again, good, the shapes look different. Something else? Different colours have been used to colour in parts of the shapes. And, absolutely a different number of equal parts has been shaded on each of them. Well, what's the same about the shapes? They've all been divided into 10 equal parts. Super. You've talked about the most important parts of representing fractions, with matching fractions to shaded parts of a shape, in this case. Um, fractions, they help us talk about a whole that's been divided into a number of equal parts, and for these shapes, all of those shapes have been divided into 10 equal parts. The difference across all of them is the number of equal parts that's shaded. That's what we're going to be talking about for each of the fractions. So with this red one, for example, 10 is the denominator and represents the total number of equal parts. Nine is the numerator, and represents the parts in this shape that I've read. 9/10 of the shape of it. Can you tell me the fractions for the others, you could press pause and start writing them down and come back when you're ready, or if you think you can just start calling them out, then stay with me now. Let's look at those green triangles. What fraction of the whole shape is green? Well done. 6/10. How about the blue? Good work, 8/10. Purple triangles, 2/10 of the whole shape, are shaded purple. And the last one, 4/10 are yellow. What if someone had said to me that for that last one, the answer is 6/10, would they be right or wrong? Why would they be wrong? Because I've asked you what fraction is shaded yellow? How could we change that question so they were right? So that 6/10 was the answer. Yeah, I could ask them what fraction is not coloured? is unshaded? is white? And the answer then would be 6/10. Okay. Do you recognise this picture? What does it represent? 100. We have used that flat shape to represent 100. Let me tell you, for our decimals work or to start our units at least, this is going to represent one If that flat shape represents one, how do we represent that with the place value grid? Yes, a one in the ones place. Alright, good starts. Well, what would this represent then? Did you say 10? If the flat shape represents 100, then yes, the stick represents 10. But, that flat shape is representing one. So if that is one, what will this be? Mmm? How many of those sticks, would make up, the one flat? Okay, if it was representing 10 and the flat was representing 100, how many 10s would make 100? 10 of them. 100 split into 10 equal parts. Okay, well now we've got one split into 10 equal parts. The stick is 1/10 of one. It's 1/10 of the flat shape. 10 of these, would be equivalent to one of these. How do we record that in the place value? Great. Hmm? 1/10 0.1. That is 1/10. Okay, when do we use decimals? If you need some ideas you could think about in the kitchen, at the shops, in science lessons, press pause if you want to, and write down some ideas for when we use decimals. Come back when you're ready to share. Are you ready? Okay, tell me. Oh wait, slow down. ah, say it again. Ah, yes, good. When you're in the shops and you're using money, we're using decimals then. When you're in the kitchen and you're making pizza, or cake. Both, maybe, yes. If we're measuring the mass of different ingredients, we might be using decimals there. Super start. Um, what about in this picture? What could decimals be used for here? Oh, it looks like some kind of Egyptian tomb. pause and think, where could decimals be used? Come back when you've got some ideas. Are you ready. And, I circled this. Why did I circle that? Do you think? How could decimals be used with that part of the picture? Yes, perhaps we could work out the capacity or the volume of those jars? Or maybe there's something inside the jars that we could measure. Um, how about this? I thought maybe it's mass, but when I noticed the colour gold, it looks expensive. Perhaps we could use decimals as we're working out and recording how much money it's worth. Um, what's about this man here? Decimals could be used if we were talking about height. Okay, I'm going to leave just there underneath my video, the image of the flat that's representing one and the image of the stick that's representing good, 1/10 or 0.1. They're there to help you to explain your thinking as we move through. What I'm going to ask you to do, is represent the fraction using decimals. Tell me the fraction, 2/10, how many tenths? Two, and there they are. 1/10 and another 10th. 2/10. Write down for me how you would represent that using a decimal. Call it out on three, one, two, three 0.2. Well done. 2/10. What about this one? With the fraction, 4/10, how many tenths? One, two, three, 4/10. So as a decimal, write it down, get ready to call it out, one, two, three 0.4. 4/10, is equivalent to, 0.4. They represent the same proportion. The same thing. The same amount. How about, this one? Are you ready? I think we getting quite quick not we were getting really fluent with this. So what would this be as a decimal? 0.6. In a moment, I'm going to ask you to press pause, don't press pause yet because I haven't shown you what I want you to do. But, when I have shown you, and my video disappears, press pause. So here we have six images. Your task is to match up the fractions and the decimals with each of the images. When my video goes away, press pause and have a go at it. When you're ready, press play again and we can carry on. Ready to press pause? How did you get on? Should we take a look? Starting from the left? Did you get 4/10 and 0.4? Did you then get 10/10 and one? Good start? What did you get after that? Well done. Next. Super. Final two. And, well done. And, read this fraction for me please, say it again. 3/10, good. And this decimal. Say it again. Well done, super work. Okay. Now I'd like you to represent the fraction as a decimal, and using Dienes, a decimal and using Dienes. So for example, here's our fraction 9/10. I'd like to see it as a decimal. Oh, Dienes. Have you got any Dienes? That's these, the flats and the sticks. Do you have any with you? I don't I don't have any either, and I didn't think you would. So let's use some drawing instead. Now, this is a maths lesson, not an art lesson. So I'm not too worried about your drawings, but, make sure you can clearly see, which of the sticks and which are the flats if we need any of them. So here's my drawing for 9/10, with nine sticks. And each of those sticks is roughly the same length. That's important. How would I represent this as a decimal? Good. 0.9. Here's one for you. Oh, that looks different. Do you know how to read that? two and 5/10. Good work. Well press pause, draw for me two and 5/10 using pictures, drawings of the Dienes, and, in decimal form. Come back when you're ready. Ready? Show me how about your paper? Let me have a look at what you've drawn and written down. Ah, some of you have worked really hard to be neat with those drawings. Like I said, it's really important I can see the difference between your flats and your sticks. Good work. Here's mine. two and 5/10. as a decimal, 2.5. Here's another one. Read it to me. One and 8/10. Press pause, draw it represented as a decimal. Are you ready? Show me Please let me have a look. Oh, we're getting even neater. I can really see the difference between those drawings of the flats and the drawings of the sticks. Well done every one. One and 8/10. Tell me as a decimal, 1.8. They are, equivalent. one and 8/10, 1.8 are equivalent, they represent the same proportion. Oh, what's happened here? I've already given you the decimal, read the decimal to me 3.2. So this time can you represent that as a fraction? And with a drawing? Press pause, come back when you're ready. Ready? Let me see. Superstars. Look at those drawings, fantastic. three and 2/10, three flats and two sticks. And as a fraction, three and 2/10. Good work. We are ready for our independent practise. Press pause once you've seen it and once my video is gone away, then we'll have a look at the answers together. So, here's your task. I'm leaving these up, so the picture of the flat representing one, and the stick representing 1/10 or, 0.1. They're there to help you, um, here's your questions. And I'd like you to represent each of those fractions as a decimal, and using Dienes, well drawings of Dienes. Here's an example, two and 5/10 as a decimal, and with drawings of the Dienes. Press pause, have a go, and come back when you're ready to take a look at the answers. See you in a minute. How did you get on? Hold up your paper for me. Let me have a look. Ah, brilliant work everyone. Oh, that number four looks interesting, am seeing, a few different answers. That'll be an interesting one to have a look at together. Here we go. Number one, number two, and number three, number four. Wow, three different decimals, or are they all different ah, two different drawings, drawings to others, we need to look at number four. Something strange is going on there, five and six. So, mark those answers. And then, I want us to focus in on number four. Okay, let's look at number four, shall we? We know this represents, did you say 10? No, at the moment, this is representing, 1/10 because this represents, one. How many tenths, how many sticks would make one flat? So I'm asking how many tenths makes one? I can hear you saying 10. I'm making a connection. I know that, 10 10s makes 100. So, 10/10 makes one. There's 10/10. One flat represents 10/10, which is equal to one. So which of these is correct then? Which of the decimals represents 10/10 or one? That doesn't look right. This is representing 1/10. That's that. Not that, and not that. Okay. This is still representing 1/10. So it's not that option either. How about this, 10/10? Are you happy with that? You're not, why not? Ah, we can only have one digit in each column. What's the largest digit we could have in one column? Nine. So when we've got 10 of something, if it's 10 tenths, or 10 ones, we regroup to the left to the next largest column. So, 1.0. 10/10 represents 1.0. Or of course, one. That's the answer for number four. One, and a flat, maybe, 10, sticks, and 1.0 or one, they are equivalent, of course. Let's finish up by returning to this activity. All I want you to do is tell me the decimal that matches each of those shapes. We already know the fraction, what about the decimal? If you want to press pause and write them down first, you can or just stop calling them out. Wait, wait, wait in order. Let's start with the red one. Tell me the decimal for the red one. Good. Sorry, 0.9 of that whole shape, is red, 9/10 is read. How about the green? 0.6. And the blue 0.8. 0.8 and 8/10 are, equivalent. Say it again. 0.8 and 8/10 are equivalent. How about the purple triangles? And the yellow. Super. Remember, I asked you at the beginning, what if someone had answered 6/10? And we talked about how that would be okay, if they were telling me the part that was white. So, if they were tell me the part that was white, for this shape, how would that be represented as a decimal? 0.6. Superstars, well done. I am so proud of each and every one of you and your learning for today. I look forward to hopefully seeing some of it if you're able to share, if you're able to ask your parents to share on your behalf. Um, Have a think now about three things that you've learned from this session so far, and from the independent practise. Maybe make a note of them on your piece of paper that you've been using, and, don't forget to complete the quiz. See you again soon for some more decimals learning and enjoy any more of the learning that you've got lined up for today. See you soon. Bye.

Recognising Decimal Tenths (Part 1)

Recognising Decimal Tenths (Part 1)

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UnitMaths / Decimals

Maths