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🧩 8th grade math · Patterns & Algebra

Graphs that tell stories

Read a graph from left to right. Going up means the amount grows. Flat means it stays the same. Going down means it shrinks. A steeper slope means it changes faster.

Worked example

The graph shows the amount of gas in a car over time. Which story matches the graph?
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Answer: First it stays level, then it goes down.
Read the graph from left to right: where it goes up the amount grows, where it is flat nothing changes, where it goes down the amount shrinks. A steeper slope means faster change. The match is First it stays level, then it goes down.

For grown-ups: Describe and sketch graphs qualitatively. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 8.F.B.5
What this practises, for teachers

Practices describe and sketch graphs qualitatively (8.F.B.5). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

Try three

  1. The graph shows the amount of gas in a car over time. Which story matches the graph?
    123456123456789time
    Show the answer and how
    Answer: First it stays level, then it goes up.
    Read the graph from left to right: where it goes up the amount grows, where it is flat nothing changes, where it goes down the amount shrinks. A steeper slope means faster change. The match is First it stays level, then it goes up.
  2. The graph shows the money in a jar over time. Which story matches the graph?
    123456123456789time
    Show the answer and how
    Answer: First it stays the same, then it grows, then it stays the same.
    Read the graph from left to right: where it goes up the amount grows, where it is flat nothing changes, where it goes down the amount shrinks. A steeper slope means faster change. The match is First it stays the same, then it grows, then it stays the same.
  3. The graph shows the water level in a tub over time. Which story matches the graph?
    123456123456789time
    Show the answer and how
    Answer: First it stays the same, then it falls, then it stays the same.
    Read the graph from left to right: where it goes up the amount grows, where it is flat nothing changes, where it goes down the amount shrinks. A steeper slope means faster change. The match is First it stays the same, then it falls, then it stays the same.

Before and after

Learn first: Rate and starting value (8th)

Comes next: Function notation and models (HS)

Name: ____________________Date: ____________Score: ____ / 12

Graphs that tell stories (8th grade)

  1. The graph shows the height of a balloon over time. Which story matches the graph?
    123456123456789time
  2. The graph shows the temperature of a drink over time. Which story matches the graph?
    123456123456789time
  3. The graph shows how far a walker is from home over time. Which story matches the graph?
    123456123456789time
  4. The graph shows the temperature of a drink over time. Which story matches the graph?
    123456123456789time
  5. The graph shows the water level in a tub over time. Which story matches the graph?
    123456123456789time
  6. The graph shows the water level in a tub over time. Which story matches the graph?
    123456123456789time
  7. The graph shows how far a walker is from home over time. Which story matches the graph?
    123456123456789time
  8. The graph shows the height of a balloon over time. Which story matches the graph?
    123456123456789time
  9. Here is a story about the height of a balloon. First it hovers, then it climbs, then it hovers. Which description of the graph matches?
  10. The graph shows the water level in a tub over time. Which story matches the graph?
    123456123456789time
  11. The graph shows the water level in a tub over time. Which story matches the graph?
    123456123456789time
  12. Here is a story about the money in a jar. First it shrinks, then it stays the same, then it grows. Which description of the graph matches?

Answer key

  1. First it climbs, then it hovers.
  2. First it stays steady, then it cools down.
  3. First it stops, then it gets closer.
  4. First it cools down, then it stays steady.
  5. First it stays the same, then it rises.
  6. First it falls, then it stays the same.
  7. First it gets farther away, then it stops, then it gets closer.
  8. First it sinks, then it climbs, then it hovers.
  9. The graph stays flat, then slants up, then stays flat.
  10. First it rises, then it falls, then it stays the same.
  11. First it stays the same, then it rises, then it falls.
  12. The graph slants down, then stays flat, then slants up.

More 8th grade skills: all 8th grade math skills, or every grade at math skills.