Graph Stories for Kids: Match Graphs to Stories and Compare Rates (Grade 8 Math)

Hi, I'm Luna from DoodleBeez. Today we are reading graph stories. A graph can tell a story without any words. We just need to know what each part of the line means.

This graph shows distance from home over time. Time goes along the bottom. Distance from home goes up the side. When the line goes up, you are moving away from home.

When the line is flat, the distance is not changing. You are standing still, maybe resting at the park. When the line goes down, you are getting closer to home again.

A steeper line means faster. Here, the first part climbs quickly, so you are running. The second part climbs slowly, so you are walking. The steeper the line, the bigger the rate of change.

We can compare functions shown in different ways. Function A is y equals three x plus one. Function B is a table where y goes two, four, six as x goes zero, one, two. Which grows faster?

The rate of change is how much y grows when x goes up by one. In function A, the number in front of x is three. In the table, y grows by two each time. Three is more than two, so function A grows faster.

Now it's your turn. Leo walks to a friend's house, plays there for a while, then walks home. What does the graph look like? Pause and try. It goes up, then stays flat, then comes back down to zero.

Great job! Remember, on a distance from home graph, up means moving away, flat means standing still, and down means coming back. Steeper means faster. Practice graph stories in Middle School Math at doodlebeez.com. See you next time!