Scaled Picture Graphs

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Scaled Picture Graphs
CCSS.MATH.CONTENT.3.MD.B.3

Scaled Picture Graph – Definition

What is a scaled picture graph? A scaled picture graph is a type of graph that uses pictures to represent and sort information into categories. The value of one picture represents more than one item. This allows the graph to show more information at once. Let’s learn more about scaled picture graphs and how we draw one below.

Drawing Scaled Picture Graphs

How do you make a scaled picture graph? We start drawing a scaled picture graph by identifying our data set. This is the information that we organize and display in the graph. It is important to give this data a name to explain what it represents. This name becomes the title of our graph and will tell our readers what it is about.

Next, we sort the data set into categories. Each category becomes one row in our graph. If we have three categories, we will need three rows in the graph. Each row is also labeled with the name of the category on the scaled picture graph.

Afterwards, we chose a picture, or image, to represent the data. Because we are making a scaled picture graph, one picture will represent more than one data point. We decide the value of one picture by looking for common multiples in the data set. For example, if most of the numbers in the set can be made counting by threes, the common multiple would be three! Once we have determined our common multiple, we write this information in the key. This tells our readers the value of each picture in the scaled graph.

The last step is displaying the set of data in the scaled picture graph. Going row by row, we draw the correct number of pictures for each category. It is important to use the interval written in the key so that each row has the right number of pictures. If we have six data points in the first row and our scale says that one picture equals three items, we divide six by three. This tells us we need two pictures to represent the data in that row.

Scaled Picture Graphs – Example

What does a scaled picture graph look like? Below is another example of a scaled picture graph.

Here we have a scaled picture graph with a scaled key of two. This means that one picture represents two items in our data set.

Scaled Picture Graphs – Summary of Steps

Sometimes, it can be helpful to display data in scaled graphs. To make representing different items in the same data set easier, you can use pictures to display data in a scaled picture graph. These are the steps to keep in mind when creating a scaled picture graph.

• When drawing a scaled picture graph, first identify and name thedata set.

• Then, sort the data into categories and draw the chart.

• Next, define the scaled pictures by looking for common multiples and note it with a key.

• Finally, plot the data into the graph according to the key’s scale.

Have you practiced yet? On this website, you can also find interactive exercises on scaled picture graphs as well as worksheets and more activities to test your knowledge.

Scaled Picture Graphs exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Scaled Picture Graphs.
• Can you find the picture graphs?

Hints

Does it have pictures or symbols that represent an amount?

Is it laid out like a chart?

Solution

These are the picture graphs!

A picture graph represents sets of data in the form of pictures using a scale.

• Can you use the picture graph to answer the questions?

Hints

Check the scale, how many items of clothes does each coat hanger represent?

Compare the rows, there is one more coat hanger on the t-shirt row compared to the pants row, so how many more t-shirts are there?

Solution

Each coat hanger represents two items of clothing. We need to count by twos to find out how many items of clothing there are- six t-shirts and four pairs of pants.

There is half a hanger on the pajamas row, which represents one item of clothing because half of two is one. So there are three pairs of pajamas.

There is one more hanger on the t-shirts row compared to the pants row, so there are two more t-shirts than pairs of pants.

There is half a hanger more on the pants row compared to the pajamas row, so there is one more pair of pants than pajamas.

• Can you fill in the correct data?

Hints

Try counting by fives.

If there were six shopping baskets:

• We could solve 6 x 5 because each basket represents five items. 6 x 5 = 30.
• We could use repeated addition: 5 + 5 + 5 + 5 + 5 + 5 = 30.

Solution

Remember, each shopping basket is worth five items, so if you count by fives you reach the above totals.

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• Strawberries: 5 x 5 = 25
• Oranges: 2 x 5 = 10
• Apples: 4 x 5 = 20
• Bananas: 3 x 5 = 15
• Can you match the correct pairs?

Hints

If one soccer ball is worth 4 items of clothing then how much is half a soccer ball worth?

Half a soccer ball is worth two items of clothing.

Try counting by four.

Solution

Remember:

• One soccer ball is worth four items of clothing
• So half a soccer ball is worth two items of clothing
Gus and Nari washed:

• 10 soccer shirts (4 + 4 + 2 = 10)
• 12 pairs of shorts (4 + 4 + 4 = 12)
• 20 socks (4 + 4 + 4 + 4 + 4 = 20)
• 14 hoodies (4 + 4 + 4 + 2 = 14)
• Can you fill in the blanks using the picture graph to help you?

Hints

Remember each coat hanger represents two clothing items.

Remember to count by 2's.

If there were three coat hangers:

• We could work out 3 x 2 which equals 6.
• Or we could use repeated addition: 2 + 2 + 2 = 6.

Solution

Each coat hanger represents two clothing items so there are:

• Eight short-sleeved shirts (4 x 2 = 8)
• Ten socks (5 x 2 = 10)
• Four sweaters (2 x 2 = 4)
• Is Gus and Nari's new picture graph correct?

Hints

If one coat hanger is ten clothing items then half a coat hanger equals five clothing items.

For example, if we had two and a half coat hangers this would equal 25 clothing items.

Solution

Above is the correct picture graph with the right number of coat hangers. The sock and sweater are highlighted because they had the incorrect number of coat hangers.

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• The shirts were correct.
• The sock should have had four coat hangers next to it.
• The sweater should have had two and a half coat hangers next to it.
• The tank tops were correct.