﻿Hello and welcome to today's lesson. My name is Mrs.Barnes, and I will be your teacher for today. At the start of this lesson, we're going to review the activity that I sent you in the last lesson. So if you've got that handy, that would be great. You also need a pen or a pencil and a piece of paper or something to jot things down. I'll be asking you to have a go at different things. So make sure you've got something handy. Let's begin. So to look at our practise activity from the last lesson, I gave you this interesting shape to start with. If you have looked at these lessons previously, you would have seen this shape before. I'm going to describe it as part of a circle. My part of a circle has been split into equal parts. So I said name one of the parts in this picture. Did you say it was one-sixth ? My whole has been divided into equal parts. I use the division bar to show me. I know that it's been divided into six equal parts. So the six goes on the bottom. That's my denominator. Then, if I just want one of those parts, the one goes on the top, my numerator. So what equal part is called one-sixth, but then I asked how many had been shaded? Did you count all of equal parts? In our last lesson, we used words to describe these. So I would say I have 4 one-sixths or four-sixths. Then in the second activity, I asked you to shade four-twelfths because my whole rectangle had been shaded into twelve. Had been shaded, have been split into 12 equal parts. You needed to shade four. This is how I started one-twelfth two-twelfths, three-twelfths, four-twelfths. Did yours look like that? In fact it didn't matter what order you shaded them in. As long as you shaded four-twelfths. Here's another example. One-twelfth , two-twelfths, three-twelfths, four-twelfths. I could have shaded them in any order. As long as I shaded four-twelfths, well done. So for today's learning, we're looking at more linear models. This is a bar. In our last lesson we looked at shapes and how we shaded different shapes. Today we're going to see some measures in quantities. Look at my bar. How many equal parts has it been split into? Can you count them? Yes, well done. 10 equal parts. So look at that first equal part. It's one-tenth. We can say can't we? 1 one-tenth or just one-tenth As we go along, I'm going to do the same for each part of this bar, I want you to have a go saying it with me. So here's the next one. Can you see two equal parts? I've now got 2 one-tenths or two-tenths. Say that with me 2 one-tenth or two-tenths. Well done. And we go on how many equal parts? Well, I've got 3 one-tenths or three-tenths. And again, how many equal tenths have I got? I've got 4 one-tenths or four-tenths. Your turn. You described the tenths. Okay, let's say it together. Check you are right. 5 one-tenths or five-tenths. They both mean the same. It's two ways of saying the same fraction. And it's really important that you can understand this, but those one tenths together. I've got five of them, 5 one-tenths, but it's also the same as saying five tenths. Let's keep going. How many tenths now? Yes, 6 one-tenths or six-tenths. And your turn. Well done. I put the words on the screen did you notice? we'll say this one together. I'm not going to put the words up yet. Say it with me 8 one-tenths or eight tenths. There they are the words as well. Your turn, without the words. Excellent. Together, 9 one-tenths or nine-tenths. And now my bar is full. How many tenths? Yes, 10 one-tenths or ten-tenths. Well done. So for today's learning, we're looking at different ways to show many parts. So I want you to tell me, how could you show me five tenths? What would it look like? Pause the video. Can you visualise ? have a think. Okay, let me show you one solution. 5 tenths, and I need to check them right? So going back to the STEM sentence from yesterday, can you count five equal parts? Yes I have 5 one-tenths so I have five-tenths, but is there a method way I could show five-tenths? Have a think? Yes. So here I have five-tenths. Another way to show it. Check with my STEM sentence. I have 5 one-tenths. I have five-tenths. Can you think of another way to show five-tenths? Yes, look at this. It's still five-tenths. It doesn't matter where my five-tenths are. As long as I have 5 one-tenths. I have 5 one-tenths. I have five-tenths. Now look at this bar. What's the same? What different? To my previous example, pause the video and have a think. Okay, so what's the same. The bar's the same. I still have my bar split into 10 equal parts. I've got 10 one-tenths. I've shaded, that's the same. Ah, but what's different is how I've shaded. I've shaded a different amount and in a different place. Can you see how many of those tenths have been shaded? Pause the video and see if you can write down how many tenths are shaded. Okay, did you get it? Well done. I can see that there are 3 one-tenths or three tens. Here's my STEM sentence from our last lesson. I need to count 3 one-tenths. And I now know that's the same as saying I have three tenths. Well done. It doesn't matter which three tenths are shaded as long as I've only shaded three tenths. Now it's your turn How could you represent 6-tenths? Can you have a go at copying my bar and shading 6-tenths. Pause the video. Okay, did you manage it? Here's my STEM sentence to check. Did you count 6 one-tenths and therefore six tenths? Let's see my example. Here's one way of showing it. I have 6 one-tenths I have six tenths. And again it doesn't matter where you've shaded them, which six tenths you've shaded. As long as you've shaded 6 out of 10 equal parts. Well done. Here's another way of looking at tenths. I want you to imagine we are going to measure a piece of ribbon. Look here. I have a piece of ribbon. I want to measure my piece of ribbon. If I measure a piece of ribbon, I need to hold it next to a ruler or a tape measure. Look at my measuring stick on the screen. In my classroom I have a measuring stick and I call it Mr.County. And he's made up of 10 equal parts and they go yellow and red just like this. So we now know that each of those 10 equal parts must be one-tenths. So look at my Mr.County on the screen. I have 1 one-tenth. I have 2 one-tenths. I have 3 one-tenths I have 4 one-tenths, 5 one-tenths, 6 one-tenths 7 one-tenths. How else could I say 7 one-tenths. Yes, seven tenths I have 8 tenths, 9 tenths, 10 tenths altogether. Now look carefully at the ribbon. He's my STEM sentence to help you. Pause the video and tell me how many tenths my ribbon is? So measure the length of my ribbon. Okay , did you count 4 one-tenths? Four tenths. So the ribbon was four tenths of a metre long. Well done. Now I have a friend, Hannah and Hannah is doing some cooking with rice. Now let me show you my rice. This is my rice out of my kitchen. All the brands are available but look, I buy my rice in a one kilogramme bag. It looks a bit like this, but Hannah has placed her rice into lots of little bags. She's got one tenth of a kilogramme. Hannah's cooking recipe says she needs 3 one-tenths of a kilogramme or three tenths. Can you pause the video and show me how much Hannah would need? How many bags of rice? If she needs 3 one-tenths of a kilogramme. Okay, let's have a look. This is 3 one-tenths of a kilogramme. We needed three bag. Can you remember how we wrote those? 3 one-tenths of a kilogramme is equal to three tenths of a kilogramme. That's my STEM sentence from yesterday to remind us I have 3 one-tenths, I have three tens. Well done. Okay, it's your turn now. I'm going to ask true or false. For each of these pictures, Have I shaded 4 one-ninths? That's the same as four-ninths. So I want you to look at each of them and tell me if it's true or false. Now here's your challenge for each picture. I want you to tell me why it's true or false. Look at the whole and look at the number of equal parts. Have a go. So how did you get on? here's the first one. So I need 4 one-ninths or four-ninths. So I know that my whole must be divided into nine equal parts. Is that first one divided into nine equal parts? No, I got ten. So that can't be right. Now look at the second one. I've got nine equal parts. Count them in check. Yes, and are four of those equal parts shaded? Yes that one was correct. It's correct because I've got 4 one-ninths shaded. Now I'm looking at that one in the top right-hand corner. have I got nine equal parts? Ah, did that trick you? I've got nine parts, but they're not equal. So that's wrong because they are not equal parts. Now look at that one that have I got nine equal parts. Yes I have. Have I shaded four of my nine equal parts? Yes I have. That's correct because I have four-ninths shaded. Well done. So we're coming to the end of our lesson for today. But before I leave you, I'm going to ask you to do me a practise activity. This is what you'll need to be ready with at the start of the next lesson. Mr.Johnson will be taking you through the solution to this activity. So I'm going to ask you to do me three one-eighths. We know that's the same as three-eights. I would like you to draw me three different images to represent three one-eighths. So you can draw shapes. You can draw bars, you can try something different, be creative. It's fine if you want to look back through this video, if you need to see some of the ideas, can you think of an image that no one else would have thought of? And are you ready for the challenge? Can you think of an example when you might see three-eighths in real life? So that's drawing three different images for three-eights and telling me where you might see three-eights in real life. So could you draw me a story or tell me a story about where three-eights would be. Could you draw me a picture of where you would see three-eighths in the kitchen or somewhere else in your home? Have a go. I hope you enjoyed. Maybe you could test some of the people in your home. If they can find three-eights or show three-eights in a different way. Enjoy, thank you for joining us today. Take care, bye-bye.

In this lesson, we build and compare different wholes from the same unit fractions that represent different lengths.

In this lesson, we build and compare different wholes from the same unit fractions that represent different lengths. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

Maths

Y4 Maths

Key Stage 2

Year 4

Building and comparing wholes

Taking fractions further

UNIT

Building wholes

Building and comparing wholes from different unit fractions

More building and comparing wholes from different unit fractions

Representing non-unit fractions

More representing non-unit fractions

Non-unit fractions in different contexts

Fractions equivalent to one whole

Visualising non-unit fractions

Fractions on a numberline

More fractions on a numberline

Counting fractions

Repeated addition of unit fractions

More repeated addition of unit fractions

Fractions equal to one whole

Beginning to compare non-unit fractions

Using Equivalence to 1 to Compare Non-Unit Fractions

Use Several Methods to Compare Two Fractions with the Same Denominator

Can We Easily Compare Two Fractions With the Same Denominator?

Order Several Non-Unit Fractions with the Same Denominator and Apply this Understanding

What do you notice when comparing two unit fractions using an area model?

What do you notice when comparing two unit fractions on a numberline?

Use What You Know to Compare Two Non-Unit Fractions With the Same Numerator

Lesson overview:Building and comparing wholes

Core Content

Taking fractions further: