Please read the questions and select the appropriate answers.

Half of 8 is less than half of 16.

One quarter of 8 is the same as half of 16.

One quarter of 12 is the same as one third of nine.

Identifying unit fractions of quantity

﻿Hi everyone, my name is Miss Sabzvari, and I'm really excited you decided to join me today for our maths lesson. The unit we're studying is fractions. In the previous lesson, we focused on identifying unit fractions of a quantity. In this lesson, we'll focus on identifying unit fractions of a quantity and shape. So, when you're ready, let's begin. Let's have a look at today's lesson agenda. So first we'll begin by finding half of a shape, quantity and line. Then we'll move on to a talk task. After that, we'll be finding quarters and thirds. And finally you will complete your independent task. And before we begin today's lesson, you will need the following items. You will need something to write with and something to write on, and you will need some cubes. Alternatively, you can grab colouring pencils to use instead. So please pause the video now, and get the items that you need. Finding half of a shape, quantity and line. So, let's have a look at the line on our screen. What I would like you to do, is to point to show where half of the line is. Do that now. Great job, keep your finger there. Does it look right? Great work. So, did you get it correct? Excellent job, now I want you to explain how you worked it out. Do that now. Great, so, how I worked it out was that I counted the squares. I can see that there are 10 squares all together. So let's count together. One, two, three, four, five, six, seven, eight, nine, 10. I know that half of 10 is equal to five. So I'm going to count five squares, and that's where the halfway point of the line is. Great job. So let's have a look at the shape on our screen. What I would like you to do, is to think about where we could draw a line to divide the shape in half. Great job. Do the squares help us? And if so, how? Great, so, let's have a look at the answer. So this is where I could draw a line to divide the shape in half. This is just one way that we could do it. Now I worked it out by counting the squares. I counted all of the squares, so I know that one, two, three, four, one, two, three, four, five, six, seven, eight, nine. I know that four multiplied by nine is equal to 36. I know half of 36 is 18. So I'm going to make sure that my shape is divided into two equal parts and each part has the value of 18 squares. So let's check. Two, four, six, eight, 10, 12, 14, 16, 18. Great job. Let's have a look at this shape on our screen. Is half of this shape shaded? And how do you know? Pause the video now and share your answer with the screen. Great job. So, I know that half of this shape is shaded because, let's count and see how many squares there are all together. So one, two, three, four, five, six, one, two, tree, four, five, six. So I know that six times six is equal to 36. It's one, two, three, one, two, three, four, five, six. And I know that three multiply by six is equal to 18. Good job. So I know that half of the shape is shaded, because half of 36 is 18. Great work. So, is half of this shape shaded? And how do you know? Pause the video now and share your answer with the screen. Great job. Again, I know that half the shape has been shaded because, there are 36 squares all together, and a half of 36 is 18. And 18 squares have been shaded. So let's have a count. One, two, three, one, two, three. So I know that three multiplied by three is equal to nine, and two nines are 18. So I know that 18 squares have been shaded, so that's half of the shape. Great job. Now moving on to talk task. What I would like you to do is to cover half of the flag with one colour of cubes, and half black with another colour of cubes. I want you to find out how many different ways you can find. So, the first thing you're going to do is to count how many squares you have, then you're going to find half of your squares. Good job, off you go. Great, so I know that I have 18 squares all together, and half of 18 is equal to nine. So, nine of my squares are going to be one colour and nine are going to be another colour. So let's check and see if I've done that. So one, two, three, four, five, six, seven, eight, nine are blue, and one, two, three, four, five, six, seven, eight, nine are red. So these are just two of the possible ways that you could have placed your cubes. You can find many different possible ways as long as you have got nine of one colour and nine have another colour, then you are correct. Finding quarters and thirds of a line, shape and quantity. So, where might we place marks to divide this line into quarters? Pause the video now, and share your answer with the screen. Great job. So, this line is now being divided in half. Does this help when dividing the line into quarters? And if so, why? Pause the video and share your answer with the screen. Great work. So here, let's see how many squares we have, how long this line is. So we've got one, two, three, four, five, six, seven, eight, nine, 10, 11, 12. So the line, is 12 squares long. Now I know that I'm trying to find one quarter. So I need to divide 12 by four. And maybe I can't do that on the top of my head. So what I'm going to do, is I'm going to find half of 12, which I know is six. And then I'm going to half it again to find one quarter. So I can see that one, two, three the value of one quarter is going to be three. Okay, great job. Now, let's have a look at the shape on your screen. Divide this shape into quarters. How did the squares help? Pause the video now and share your answer with the screen. Great job, so the first thing I'm going to do, is I'm going to count all of the squares. So let's count and see how many squares we have together. One, two, three, four, one, two, three, four, five, six. So I know that four multiplied by six is equal to 24. I know that 24 divided by four is equal to six. So let's check one, two, three, four, five, six. So as long as I have six in each group or in each part, then I know I have divided my shape into quarters. Good job. Is the red part of this rectangle equal to one quarter? How do you know? Pause the video now and share your answer with the screen. Great job. So again, I'm going to count all of those squares and I'm going to divide it by four. Or I'm going to divide my shape into quarters. If I do that, then I know that in one quarter, there's going to be one, two, three, four, five six. So one group of six, one, two, three, four, five, six. Two groups of six, one, two three, four, five, six. Three groups of six, and one, two, three, four, five, six. Four groups of six. So I know that six is one quarter. Great job. Now, is the blue parts of this rectangle equal to one third? How do you know? Pause the video now and share your answer with the screen. Great job. So, I can see that this is one third of the shape. And I know this because, I know that there are two, four, six, eight, 10, 12 squares all together. And I know that 12 divided by three is equal to four. And I can see that one, two, three, four, squares have been coloured in or shaded in blue. So I know that this is one third. Great job. So moving on to independent task. What I would like you to do, is to use three colours or three different coloured cubes to design your own flag, and each colour must fill one third of the flag. And make sure that all the parts are equal. So make sure you draw this on your piece of paper, and off you go. Great job. So I know that there are one, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 21, 22, 23, 24, squares. And I'm trying to find one third. So I know that 24 divided by three is equal to eight. So I'm going to colour eight a in one colour, two, four, six, eight. And I'm going to colour the next eight in a different colour, and finally, the last eight in another colour. It doesn't have to look like this, as long as you have eight shaded in one colour, and another eight shaded in one colour, and another shade in one colour, then you are correct. Great job. And if you'd like to please ask your parents or carers to share you're work on Twitter tagging @OakNational and #LearnwithOak. And now it's time for you to complete to end the lesson quiz.

Look at the shape below.

What fraction of the shape is shaded?

Look at the shape below. 

Look at the shale below. 

Identifying unit fractions of a quantity and shape

In this lesson, we will find one half, one quarter and one third of a rectangle by counting the squares within the shape.

Maths

Y2 Maths

Key Stage 1

Year 2

Identifying fractions of quantity and shape (Part 1)

Fractions

Number

THEME

UNIT

Relating halves and quarters to division

Identifying the parts of a fraction

Identifying half of a shape

Identifying halves, thirds and quarters of shape

Identifying fractions of shape with different numerators

Identifying fractions of quantity

Identifying fractions of quantity and shape (Part 2)

Identifying equivalent fractions

Dividing by four and finding a quarter means ...

What fraction does the blue section of this part-whole model represent?

What fraction of the shape is not shaded?

One half of 6 is less than one quarter of 16.

Daddy Bear’s ear is 15 cm wide. Baby Bear’s ear is 1/3 the width of Daddy Bear’s. What is the width of Baby Bear's ear?

There were 12 bananas in the fruit shop on Monday. One quarter of them were sold on Tuesday and one quarter of them were sold on Wednesday. How many bananas were sold altogether?

2/4 is equal to______.

Lesson overview:Identifying fractions of quantity and shape (Part 1)

Core Content

Fractions: