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Scaled Picture Graphs

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Scaled Picture Graphs
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Basics on the topic Scaled Picture Graphs

Content

In this 3rd grade video on scaled picture graphs

It’s laundry day for Nari and Gus, but they have a problem. They need to sort all their clean laundry before putting it away. In this video, we help Nari and Gus organize their newly clean clothes by making scaled picture graphs.

What is a scaled picture graph?

Let’s learn more about scaled picture graphs and how we draw one below.

Scaled picture graph definition

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.

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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.

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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 twos, the common multiple would be two! 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.

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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 ten data points in the first row and our scale is one picture equals two, we divide ten by two. This tells us we need five pictures to represent the data in that row.

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What does a scaled picture graph look like?

Below are scaled picture graph examples.

Scaled picture graph with scaled key of four.

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Scaled picture with graph with scaled key of two.

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Summary of Steps: Making 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 scaled picture graph worksheets and exercises.

Transcript Scaled Picture Graphs

"What is that?" "I don't know; it's not the honey." "Hmm, you know, might be our laundry. It's probably time to change into a new set of clothes anyway." "I can't believe it all fit, but how will we sort it all?!" "We could make a scaled picture graph to help us organize our clean clothes." Drawing a Scaled Picture Graph A picture graph is a chart that uses pictures to represent and sort information into categories that's why it is called a picture graph! In a scaled picture graph, the value of one picture represents more than one item so we can see a lot of information at once. To start our first picture graph, we'll need to find all of Nari's clean clothes in that pile. This is called our data set! Next, we need to give this graph a name. Since the data set includes all of Nari's clean laundry, let's call it, "Nari's Clothes" Next, we sort and count Nari's clothes into categories like shirts, pants, and pajamas. These three categories let us know we need to draw three rows in our graph. Now, we'll make a key for our picture graph using a hanger to represent our clothing items. Remember, we are making a scaled picture graph so one hanger represents more than one piece of clothing. Let's add a key at the bottom of the graph to tell readers that each hanger will represent two pieces of clothing because most of the data can be made counting by twos. We can also say they are multiples of two. Finally, it's time to fill in our picture graph! Remember, each hanger represents two pieces of clothing and Nari has six shirts. Let's skip count together by twos: two, four, six. So, we'll need to put three hangers in the shirts row because two goes into six, three times. Let's do the same thing for his pants! How many times does two go into four? Two goes into four two times so that means we will need two hangers in the pants row. Let's be careful with our three pajamas though because two does NOT go evenly into three. One hanger represents two pajamas so we can use half a hanger to represent the one left over. Now that Nari's scaled picture graph is complete, we should help Gus! Our new data set is all of Gus's clean clothes. What should we title this graph? "Gus's Clothes" since it's their clean laundry. Next, we sort and count Gus's clothes into shirts, pants, and pajamas. Then, we draw the chart for our graph and add our labels. This time let's pick a clothespin to represent our clothing items. Remember, we are making a scaled picture graph so one clothespin represents more than one piece of clothing. Gus has six shirts, nine pants and three pajamas so how many items could one clothespin represent? All of those numbers are multiples of three, so one clothespin will represent three pieces of clothing. Now we're ready to fill in his graph! Now let's repeat this for the rest. Gus has nine pants and three goes into nine three times, we will need three clothespins next to the pants label. How many clothespins will we need for Gus's three pajamas? We will use one clothespin because one clothespin represents three items of clothing. Look! All their clothes are sorted and organized, but before we see what Nari and Gus put on let's remember! When drawing a scaled picture graph, first identify and name your data set. Then, sort your data into categories and draw your chart. Next, define your scaled symbols by looking for common multiples and note it with a key. Finally, plot your data into the graph according to your key. "Great work today, Gus; let's put on our fresh, clean clothes!" "Ahhhhh! So comfy!" "I don’t know, Nari… feels a bit tight."

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

    Here are the answers.

    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.