*Contributor: Marlene Vogel. Lesson ID: 10826*

Do you like fish stories? Or any stories? Ever think math would help you write a story? Using colorful examples, and your imagination, learn how to read graphs and write stories about them!

categories

subject

Math

learning style

Auditory, Kinesthetic, Visual

personality style

Otter, Golden Retriever

Grade Level

Middle School (6-8)

Lesson Type

Dig Deeper

**Fish Population**

A local fish hatchery decided to collect data during a four-month period in order to determine the number of fish in the hatchery each month. They put their information into the graph below.

Use the graph to respond to the following questions. (You can click to check your answers as you go.)

The graph above helps to tell the story of what occurred in the hatchery during the four months of observation.

This lesson will provide you with the skills you need to read graphs and learn the stories that accompany them.

You will also create a story to match the data found on a graph!

The first thing you need to know about graphs is that the information presented is read from left to right, just like a sentence.

Look at the example below.

As you can see, the graph above shows someone's progress in getting facts correct.

When reading it from left to right, you will notice that as each day goes by, this person is able to get more facts correct. The amount of correct facts increases each day.

- Can you think of another situation where you would draw a graph to show an increase?

When you read a graph, it is possible to see an *increase*, a *decrease*, or a *constant*. A *constant* is the representation of information that does not change and is seen by a straight line.

Take a good look at the three graphs above.

- Did you notice the two words outside of the graph?

The words *time* and *temperature* are the quantities that are being compared in each of the graphs.

When a graph is showing an *increase*, it represents increase in *both* of the quantities.

Focus on the graph that shows *increase*. With this graph, you can see that as time increases so does the temperature.

When a graph is showing a *decrease*, it represents a decrease in one quantity but an increase in the other.

Now focus on the *decrease* graph. As time increases, the temperature decreases.

And finally, when a graph is showing a *constant*, it represents no change in one quantity but an increase in the other.

Focus on the *constant* graph. As time increases, the temperature remains stable and does not change.

With each of these graphs, you can tell a story. You can even match a graph with a story.

Below are three brief stories. Read each and decide which of the three graphs above it matches.

**Story #1**

I decided to spend the day outside working in my garden. I was outside for four hours. After two hours, I decided that I need to go inside and get a sweater.

**Story #2**

I was enjoying a picnic with my family. It was a little chilly outside when I left my home, so I wore a sweatshirt. I also brought a jacket with me, but I left it in my car. After the first hour of the picnic, I noticed that I did not need to take the sweatshirt off, nor did I need to get my jacket.

**Story #3**

My friend was relaxing in the shade while her son played baseball. She said the weather was lovely and quite comfortable at 12:00 pm, but by 1:30 pm, she began to feel hot and sweaty, even in the shade.

- Were you able to match them all correctly?

Let's look at the Facts I Got Correct graph again.

As you have already learned, you can make a story to go with any graph. When I look at this graph, here is the story that pops into my mind.

Kathi has been learning about multiplication facts. Every day, her teacher gives her a quiz on the multiplication facts that she was taught the previous days. Each day, she is getting more and more of the multiplication facts correct on her quizzes.

She started out a little rough, but that is because she was not studying. The first day, she only got 3 out of 20 problems correct. The second day, she got 4 out of 20 problems correct. Then, Kathi figured there would most likely be another quiz the next day, so she began to study.

The third day, she did really well! Kathi was able to get 12 out of 20 problems correct. She made a plan to keep studying her multiplication facts every evening after dinner. On the fourth day, she was able to get 15 out of 20 problems correct.

Today, she will take her fifth quiz! I hope she does well!

- Can you make a different story about the graph above?
- Does your story involve studying?

In the *Got It? *section, you have the opportunity to practice some activities to help you make sure you understand how to relate graphs to stories!