If this symbol represents 3, how many would I need to use to show 15?

In this graph, how many people travelled by train?

Using the graph above. If 2 more circles were added to the walking column, how many would have walked in total?

Looking at this graph. How many more circles will I add to the bike column if 6 more people say they travelled that way?

Constructing pictograms

Key Stage 2

Maths

Graphs

In this pictogram, how many people walked?

True or false, in this pictogram 1 and a half pupils went by car?

﻿Hello everyone, I'm Miss Brinkworth, I'm going to be going through this lesson with you today on pictograms. Let's get started. So today's learning objective is to construct pictograms. So, let's have a look at what this looks like for today. So our lesson agenda is that we're going to do a bit of revision reading pictograms, making sure we understand what they're telling us. We're then going to have a good look at considering what scale would be best when we're making our own pictograms. We're then going to move on to making sure we add that data accurately. And then at the end, there'll be that independent work where there's an independent task and a quiz to see how well you got on with today's learning. All you will need for today's lesson is a pen or pencil, something to write on, and just the understanding that you are going to do brilliantly. Let's get started. So, here's a little warm up. Have a look at this pictogram and tell me three things about it. If you are stuck, have a go at these sentence starters. The number of people who took the bus is, only two people went by, the most popular transport is. If you nip through that really quickly and find it really easy, have a go at that challenge as well. One of the things that you could tell me could start with double, half, least popular or zero. Pause the video and have a go. Shall we see how you got on? So, maybe if you did the stuck ones, let's have a look at those together. The number of people who took the bus is. Well, the very first important thing for us to read is that key. How many does each smiley face represent? If we don't read the key carefully, we won't accurately be able to tell what this pictogram is telling us. So we can see this is all about transport. So how people got somewhere. And if we look at that key there, we can see that each smiley face represents two people. So we're looking at our two times table. If I look at that first question then, we're going for bus. So make sure I'm concentrating on the bus column. And I can see that in the bus column, there are four smiley faces. So they must be two, four, six, eight. Well done if you could see that the number of people who took the bus is eight. Only two people went by. Okay, so I must be just looking for one smiley face because one smiley face stands for two people. Which one's just got the one smiley face? Let me look. Oh yeah, that's that mall column of smiley faces there right at the end, it's train. Well done if you can see that. And finally the most popular transport. Well, popular means that lots of people like it. So that's the one that's the most popular. It's got the biggest column. It's got the most smiley faces. I don't actually need to count them and work out what the answer is, how many people picked that transport, I can just see which one's got the tallest column. And I can see that this graph, that is walking. Well done if you got those three questions right. You really understand how to read pictograms accurately. Really well done if you moved on to a challenge and could give me some information about double or half, maybe the least popular or using that zero. So you might've been able to tell me something like half the number went by car compared to bus. And well done if you were able to tell me one of those ones. Okay, let's move on to some new learning then. Here's a pictogram. And what we need to do in today's lesson is not just read the pictograms, but actually change them. So we're starting to construct our own pictograms. So this question says that two more people were spoken to, and they all came by motorbike. Okay. So we need to add those two people onto our graph, right? Two people. Well again, I need to look at that scale carefully. And again, I can see that that scale shows that one smiley face is two people. So if I'm going to add two people onto this graph, I just need one smiley face. I need to make sure I'm putting it in the right place, though. So two more people is one smiley face. Where do I put that smiley face? Well, the question says motorbike and there isn't anything in the motorbike column at the moment, it's zero. At the moment, it's showing nobody came by motorbike. But I'm going to add that smiley face in, because we spoke to two more people, and they came by motorbike. So I've adapted my pictogram. I've changed it to reflect that two more people were asked and they came by motorbike. So, well done if you able to see that we just needed to add one more smiley face. Shall we have another go? This time three more people were spoken to, and they all came by car. I wonder if you can remember what we need to do for three people? Well, three is two, add one. So we know for our two, we could just add one more smiley face. But what about the one? How are we going to represent that one person? Well, if one smiley face is for two people, we can cut it in half to represent one person. So to add my three people on, I can add one whole smiley face, and a half, and then I will have all the data added on my pictogram. How about this question then? How many people travelled by car in total? I need to add them all up now so that I can see I've got one, two, three full smiley faces and a half. So I've got two, four, six, seven. Seven people came by car. Okay. Your turn then. Amend this graph to show two more for train and three more for bike. So pause the video here and have a go at thinking about where are those smiley faces going to appear when we come back together? Have a go. Okay, how did you get on? Hopefully you found this quite straightforward as the key is the same one we've been using through the lesson so far. One smiley face, two people. So the question says, amend, that means change the graph to show two more people for train. Well, that's a nice, easy one, isn't it? 'Cause that's just one smiley face. So well done if you could see that you need to add one smiley face into that train column. Then we've got three people by bike. And we just did this one together. So hopefully you could see that to add three people on this pictogram we need to add one more smiley face and a half. Well done if you got all of those right. Next question then, a little challenge. How many people went by bike in total now? Pause the video here again and see if you can count up how many people went by bike in total. I wonder how you did it? Did you count each? Did you go one, two, one, two, or did you use your two times table? Let's look at the bikes together. We've got one, two, three, four, five full smiley faces. And each one represents two. So we could use our times tables. We could do five times two. Do you know five times two? Five times two is 10, but we're not finished because there's half a smiley face there as well. So ten add one, which is half a smiley face is 11. Well done if you got that right. Really, really good work. Okay, let's have a look then. Here's some data, and we've been asking people what type of house they live in. Do they live in a cottage? Do they live in a flat? Do they live in a house? And here's our data. It's not actually that easy to read. Can you think of a way we could present this data that's a bit easier to read? It's not that easy to read at the moment. Would it be easy to answer questions if we have to say how many more people or what was the most popular or which was the least popular? It would be a bit tricky to answer questions on this. So hopefully you can see that an easier way of showing this data would be in a pictogram. So, when we're drawing pictograms, we have to ask ourselves some questions or remind ourselves of some success criteria. Firstly, we might want to decide whether we want columns. So that's going up and down. Or if we want rows, Now it doesn't really matter which one we pick. It sort of comes down to what you prefer or which one you think would show the data in the easiest way. Sometimes if the numbers are quite similar, columns can be good because it allows us to see small differences in the heights of those columns. But sometimes different data suits rows for one reason or another. So it comes down to personal choice, really on columns or rows. And that's up to you today. How many columns or rows though is decided by how many groups of things we have. So if we go back to the data that we're looking at here, we have three, we have three types. We have cottage, flat or house. So we're going to need three columns or rows. Decide on a scale. So look for similarities within your numbers. We'll come back to that in just a moment. And then another really important thing to remember is to draw them mathematically so that your columns or rows are the same width, that your pictures on your pictogram are the same size and that you're spacing them out equally. So this is maths, not art I'm afraid. So we do need to keep it mathematical, equal distance and the same size. So, I'm going to decide for this one that I am going to do, oh, I'm going to do rows. We've already talked about having three of those. And if I look at the numbers that I've got in that data, I've got three, 12 and nine. Sorry, six, 12, and nine. And if I look at six, 12, and nine, what that says to me is three times tables. If I did jumps of three, or if I had a picture which represented three, I'd be able to use just whole shapes rather than having to go into half shapes. So I'm going to look at my threes today. And then I'm going to draw mathematically. So let's have a look at what that looks like. There's my data in the corner. And what I'm going to do is I'm going to draw my rows. And I've said that I need three rows, so there's my three rows. I'm then going to put in my three, on the Y axis, those three categories, those three different types of things. And in this case, it's the type of house people live in. So I've got my three different types of houses. What else do you think I need on my pictogram? Not finished am I? I also need a key. I'm going to decide to use hearts this time. People love their homes. So I'm going to use hearts. I'm going to tell people what those hearts mean. And remember that I said I was going to use threes this time because each of those numbers was in the three times table. So I'm going to tell everybody who's reading my pictogram, that each heart represents three. So I've done my rows. I've done my axis. I've done my key. So now I just need to put all that information into the pictogram in the right place. So, this is what it looks like. I've got six people who live in a cottage, so I need two hearts, three and six. So I've got two hearts, which show six people living in a cottage. For flats, we had 12 people. So I need four hearts. Three, six, nine, 12 is four times three. So there's my, my four hearts to show that 12 people lived in flats. And then for house, I've got... nine people, three, six, nine, three hearts for nine people. So if we just go back to how I made my pictogram, what did I do? I just had to choose how many columns, how many rows I wanted, sorry. Or if I want to columns, that's fine as well. I then put my types in, my three things that I'm talking about. I then did my key and I decided carefully my scale. And I went for three this time. You might want to go for two, you might want to go for five, that's up to you. And then I went about putting all the data in, in the right way. So, your turn. Here's some data for you. This is year three's favourite colours. So we've got red is six, yellow is two, orange is eight and blue is four. And I'd like you to have a go at drawing a pictogram. What you want your pictures to be is completely up to you. They could be smiley faces, they could be hearts, they could be stars. It's a good idea for them to be symmetrical though. So that means they're the same either side so that when you cut them in half, they look the same either side. You need to decide whether you want rows or columns, how many rows or columns you're going to need, decide on your scale and then draw it mathematically. Pause the video here and have a go. How did you get on? Let's have a look at what your pictogram might look like. So, you might've gone for columns this time. And you would need four of them, whether you've got rows or columns, you would definitely need four. That's because we've got red, yellow, orange and blue. So you need to draw your columns. And then you can put in your axis where you say that you've got red, yellow, orange and blue. Then you need your scale. I went for two because looking at those numbers, they're all in the two times table. So I went for a little diamond shape and I've told everybody that they represent two. So then I just need to put my information in. So six, I need two, four, six. I'm going to need three of my picture. Yellow was two, so I'm only going to need one. Orange is eight, so I'm going to need four. Well done. And blue is four, so I'm going to need two. Well done if your pictogram looks something like that. It might not look exactly the same. You might have decided to go for rows instead of columns. You might, you probably have drawn a completely different shape, a smiley face or a heart, and you might have picked a different scale, although, two was a really good scale. So if you did pick two, that was really well suited to those numbers. Okay. Time for your independent task. So pause the video and take as long as you need on your independent task. When you're ready, come back and we'll go through the answers. How did you get on? Let's have a look through the answers together. Obviously, it's great if you got them right and well done. If you didn't, if there was some you made a mistake on, please don't worry. Just have a look at how you got on and have a think about where you went wrong. Okay. So in this task you had to see you've got the data and then the pictogram, but they don't quite match up. Jake has made some mistakes when he's moved the data from the table into the pictogram. So hopefully you can see that Jake made two mistakes. Can you correct them? Well, he needed to add two more meerkats and one more antelope. And if you could read the scale correctly, hopefully you could see that that meant another smiley face in the meerc#kat row and half a smiley face in the antelope column. If you got those right, well done, not easy to do, really, really good. Now, for the second task, there's not a correct answer for me to show you as such, and as you may have all gone about this different ways. As long as you've thought carefully about your scale, you should have four rows or columns, and then it's really easy to read, then well done. You have made a fantastic, pictogram. Good for you. Okay. Great work, and if you'd like to share your work, please do. Please ask your parents or carer to share the work on Twitter, tagging @oaknationalacademy and #learnwithoak. Before you go, please complete that quiz and just see how you got on with today's learning. Fantastic work today everybody, well done.

Constructing pictograms

Constructing pictograms

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UnitMaths / Graphs

Maths