What mixed number is being represented?

Using Mixed Numbers

﻿Hello, how are you doing today? Welcome to your maths lesson with me, Miss Jones. Are you ready to get started? I sure am. Let's go. In today's lesson, we're going to be using improper fractions. Now, if you're not sure what an improper fraction is, don't worry, we'll be going over that at the start of the lesson. Then, we're going to be thinking about recognising improper fractions using representations. We're going to be linking that to mixed numbers using number lines, and finally, you've got your task and your quiz. You'll need today a pencil and piece of paper to write on, and you might also want to use a ruler to help you draw your number lines, if you've got one. If you want to pause the video and get what you need, feel free to. If you've got everything, let's start. Okay, when thinking about improper fractions, instead of thinking of how many wholes we have, We're going to think of how many of the fraction we have. So in this picture, I want you to think about how many thirds are there? Can you say it out loud? Let's count them, we've got one, two, three, four, five. We could say this as 5/3. Now, if we were writing this, we would write this as five for our numerator and three as our denominator, 5/3. An improper fraction is where the numerator is bigger than the denominator. These fractions are therefore greater than one whole. So if we have more than three thirds, which is one whole, we know that it's greater than one, 5/3. Let's look at this one, how many fifths are there? Have a go at this one yourself. There are 7/5. We could write this as an improper fraction, 7/5. Our numerator is greater than our denominator, so we know it's greater than one whole. Now it's time for you to have a go, this is your talk task. For each picture, can you represent it with an improper fraction? Pause the video now to have a go at this one. Okay, hopefully you've had a go, let's just go through these. We've got 8/5, 3/2, 5/4, 7/5, 4/3, 17/9, 5/3, 11/9 and 6/4. How did you get on? Now, notice that all of these are improper fractions, they're greater than one whole and our numerator is greater than our denominator. Let's think about how we might represent improper fractions on a number line. Now, for this number line, I'm going to start at zero, and then I'm going to go in intervals of 1/4. So this first interval would represent 1/4, this one would be 2/4, 3/4, and this one would be 4/4. What's another way of writing 4/4? Our numerator and our denominator are the same, so we know that 4/4 is the same as one whole. This would be 5/4, 6/4, 7/4, 8/4. What would this point be as an improper fraction? See if you can say it out loud. This would represent 9/4. Now, I pointed out where one whole would be, where would two be? Two would be here in the same point as 8/4. Now, we can link improper fractions to mixed numbers. So if we have 4/4 here, this would be 5/4. Another way of writing 5/4 is one and 1/4. On the top of my number line, I've got the mixed number, and on the bottom of my number line, I've got the improper fraction. Both of these are representing the same number, but just a different way of writing it. This time, let's look at thirds. I'm going to put a zero again, and each jump this time is going to represent 1/3. This would be 2/3, this would be 3/3. We know that 3/3 is the same as one whole. Where would 5/3 be? Can you point to it? 5/3 would be here, 5/3. Where would two wholes be? Now, we know that this is 5/3, so this is 6/3, which is the same as two wholes. What would this be? Could you represent that as an improper fraction and a mixed number? Well, as an improper fraction, we already know where 5/3 are, this is 6/3, this would be 7/3. My numerator is greater than my denominator. We could also represent this as two and 1/3. Where would 9/3 be? 9/3 would be here, 9/3. Is there another way we could write 9/3? We could write 9/3 as three. When we're counting from two and 1/3, we could say this is two and 2/3, and this would be three. For your task today, I'd like you to represent improper fractions on a number line. Draw a number line and mark it from zero to three. I'd like you to estimate where the following fractions would be. There's no need to measure accurate thirds, you can use estimation. Pause the video now to complete your task. Once you've finished, you can come back to this video. If you'd like to share your number lines with us, you need to ask your parents or carer to do so. Follow the instructions on the screen. Now you've finished the lesson, it's time for your quiz. Thanks everyone, bye, bye.

What improper fraction has been represented?

Using Improper Fractions

In this lesson, we will learn about improper fractions and learn how to read, write and represent them. Then we will begin to relate improper fractions to mixed numbers.

Maths

Y4 Maths

Key Stage 2

Year 4

Miss

Using improper fractions

Fractions

Number

THEME

UNIT

Recognising fractions as different representations

Calculating unit fractions of quantities

Recognising  equivalent fractions

Recognising equivalent fractions (2)

Calculating non-unit fractions of quantities

Equivalent fractions

Fractions and division

Comparing fractions

Ordering fractions

Using mixed numbers

Converting mixed numbers into improper fractions

Adding fractions (up to one whole)

Subtracting fractions

Adding fractions (with a total greater than one)

Subtracting fractions (2)

Comparing non-unit fractions of quantities

Reasoning with fractions

Which representation shows three quarters?

What does the denominator tell us?

What does the numerator tell us?

How else could I write five halves?

What is the sum of the fractions?

Which is greater?

Calculate:

A packet of paper has 261 sheets. Two thirds of the packet has been used. How much paper is left?

Lesson overview:Using improper fractions

Core Content

Fractions: