# Lesson Video: Picture Graphs with Scales in 2, 5, or 10 Mathematics

In this video, we will learn how to draw picture graphs, where each picture represents 2, 5, or 10, and read picture graphs to solve simple put-together, take-apart, and compare problems.

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### Video Transcript

Picture Graphs with Scales in Two, Five, or 10

In this video, we will learn how to read picture graphs where each picture represents two, five, or 10.

This is a picture graph. Children in a class are being asked their favorite color, blue, green, or red. This is the number of children whose favorite color is blue. The key tells us that each paint splat is worth two children. So we need to count in twos to work out how many children picked the color blue. Two, four, six, eight. This is the number of children who chose green as their favorite color.

Remember, each paint splat is worth two children. Let’s count in twos to find out how many children picked green. Two, four, six, eight, 10, five twos or 10. How many children chose red as their favorite color? We know that a red paint splat equals two children. So what is half a paint splat worth? Half of two is one, so half a paint splat is worth one child. Let’s count: two, four, and one more is five. So we know that five children chose red as their favorite color.

We could also use pictures of circles to show this information. If each circle equals two children, we know that half a circle equals one child. There are four blue circles, two, four, six, eight. There are five green circles, two, four, six, eight, 10. And there are two and a half red circles, two, four, five. The information is the same. We used a different picture to represent the children.

If we’re drawing a picture graph or we have to answer questions about the information in a picture graph, we have to think carefully about what each picture is worth. In this picture graph, one circle equals two children and half a circle equals one child. If each circle represented 10 children, then each half circle would represent five children.

In this video, we’re going to learn how to read picture graphs where each picture represents two, five, or 10 objects. And we’re going to use the information to help us solve problems.

The picture graph shows how many animals are on a farm. How many sheep are there? How many more cows are there than sheep?

We know this picture graph shows us how many animals there are on a farm. The farm has four different types of animal, sheep, cows, chicken, and rabbits. And the number of animals is shown using blue circles. We’re told that each blue circle is worth two animals. The first part of the question is asking us how many sheep there are on the farm. This column right here shows us the number of sheep. We have to count in twos because each circle is worth two animals. Two, four, six, eight. There are eight sheep on the farm.

The second question is asking us how many more cows there are than sheep on the farm. We already know there are eight sheep, so we need to work out how many cows there are. We know that each blue circle is worth two animals, so let’s count in twos. Two, four, six, eight, 10, 12. How many more cows are there than sheep? The orange dotted line helps us to compare the sheep and the cows. We can see that there are two more circles to represent the number of cows. And if each circle is worth two animals, then two circles are worth four animals.

The difference between the number of sheep which is eight and the number of cows which is 12 is two, four. There are four more cows than sheep.

The picture graph shows how many people played sports last weekend. How many people went cycling? How many people went swimming? How many more people played football than hockey?

This picture graph shows us how many people played sports last weekend. The graph has four categories or four different types of sport: swimming, football, cycling, and hockey. We have to answer three different questions about the information shown in the picture graph. The first question asks us how many people went cycling. This row shows the number of people who went cycling, and we can see three pink circles. The key tells us that each pink circle is worth 10 people, so we need to count in tens — 10, 20, 30. 30 people went cycling. Each circle is worth 10 people. Three tens are 30.

The second question asks us how many people went swimming. There are two and a half pink circles. If each pink circle is worth 10 people, then half a pink circle is worth half of 10. Half of 10 is five. One circle is worth 10 people; half a circle is worth five people. And let’s count how many people went swimming. 10, 20, and five more makes 25. 25 people went swimming.

The final part of the question asks us how many more people played football than hockey. We need to compare the number of people who played football with the number of people who played hockey. The football category has five circles. We know that each circle is worth 10 people. Let’s count in tens five times. 10, 20, 30, 40, 50. 50 children played football. Now let’s count the number of children who played hockey. 10, 20, 30, 40, and half a circle makes five. 40 and five is 45.

To find out how many more people played football than hockey, we need to find the difference between 50 and 45. 45 is five less than 50. The difference between 50 and 45 is five. Five more people played football than hockey. 30 people went cycling, 25 people went swimming, and five more people played football than hockey.

Olivia counted the cars of each color in a garage. The picture graph shows what she found. How many red cars are there? How many more white cars are there than blue cars?

Olivia was counting the color of cars in a garage. And this picture graph shows us what she found, red cars, black cars, some of the cars were white, and some were blue. We’re also told that each orange circle is worth five cars. The first question is asking us how many red cars there are. This row shows the number of red cars. There are five circles, and we know that each circle is worth five cars. So we need to count in fives five times because there are five circles. Five, 10, 15, 20, 25. There are 25 red cars.

In the second question, we need to compare how many more white cars there are than blue cars. This row shows the number of white cars, and we can see that there are one, two, three, four orange circles. We need to count in fives because each orange circle represents five cars — five, 10, 15, 20. So we know there are 20 white cars and there are 10 blue cars. There are two orange circles, and each circle is worth five cars. Two fives are 10.

To find out how many more white cars there are than blue cars, we need to find the difference between 20 and 10. 20 take away 10 is 10. The difference between 10 and 20 is 10. There are 25 red cars and there are 10 more white cars than blue cars.

What have we learned in this video? We’ve learned how to read information in picture graphs where each picture represents two, five, or 10.