Free preview Introducing multiplication

Represent data and solve problems

Let's create graphs and answer questions.

๐Ÿ“„ Reading picture graphs

###Reading picture graphs

Picture graphs use pictures or symbols to represent data. Let's look at the picture graph below.

Hopper the rabbit and her friends are collecting carrots. They made a picture graph to show how many carrots each of them collected.

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Each

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represents $\greenD3$ carrots collected by the rabbits. Since Hopper has $\blueD4$

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above her name in the picture graph, we can multiply to find out how many carrots she collected.

$\blueD4 \times \greenD3 = 12$

Hopper collected $12$ carrots.

We can follow the same steps to find how many carrots each of Hopper's friends collected.

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###Example $1$: Flowers

John graphed the number of flowers he planted in his garden.

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###Example $2$: Boat captains

Four boat captains, Ron, Dora, Jess, and Mark made a graph of the number of whales they saw while at sea last month.

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###Example 3: Creating a picture graph then reading it

Alyssa counts sheep to help her go to sleep. She made a table of how many sheep she counted over the past four days.

Day | Number of sheep counted :- | :-: Monday | $18$ Tuesday | $12$ Wednesday | $14$ Thursday | $10$

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Now that we have created our picture graph, let's answer some questions.

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๐Ÿ“„ Reading bar graphs

##Reading bar graphs

Bar graphs show information by using bars to represent numbers.

The bar graph below shows the number of kids that chose each activity as their favorite thing to do on a hot day.

The Eat ice cream bar lines up with $120$, which means $120$ kids chose eating ice cream as their favorite hot day activity.

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##Comparing with bar graphs

Bar graphs can also be used to make comparisons.

The bar graph below shows the number of kids that chose each activity as their favorite thing to do on a rainy day.

We can see that kids chose watching a movie the most because the Watch a movie bar is the tallest. But we can also compare different choices by looking at more than one bar.

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Sometimes we will need to answer questions by comparing two bars.

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##More ways to look at bar graphs

The bar graph below shows the number of kids that chose each activity as their favorite thing to do on a snowy day.

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##Make a bar graph

The following table shows the number of kids that chose each activity as their favorite thing to do after school.

Activity | Number of kids - | :-: Play outside | $80$ Art| $50$ Sports| $60$ Computers| $30$

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