AI For Word Problems - Part 3

This is the last in this series about using AI for creating or rewriting word problems. For today, I gave the AI some parameters and asked it to write a word problem for a pre-algebra class. This is the prompt I wrote - Write a word problem for a pre-algebra class that is about traveling at a constant rate to a location 200 miles away. Include something about 400 and 600 miles away.

Word Problem:

A family is planning a road trip. They know that they can travel 200 miles in 4 hours at a constant speed.

• Part A: How long would it take them to travel 400 miles at the same speed?
• Part B: How far could they travel in 6 hours at this speed?

This problem incorporates the following pre-algebra concepts:

• Constant Speed: Understanding that speed remains the same throughout the journey.
• Proportional Relationships: Recognizing the proportional relationship between distance and time when traveling at a constant speed.
• Solving for Unknown Variables: Students will need to use proportional reasoning or set up a simple equation to find the unknown time or distance.

This problem can be further enhanced by:

• Creating a table: Students can create a table to organize the distance and time values, which can help them visualize the proportional relationship.
• Graphing the relationship: Students can plot the distance traveled against the time taken on a graph, which will result in a straight line, further demonstrating the proportional relationship.

I hope this word problem is suitable for your pre-algebra class!

I also asked it to create an open ended word problem with the same parameters. I used the same prompt with the added words 'Open ended". This is the result -  

Word Problem:

A family is planning a road trip. They know that they can travel 200 miles in 4 hours at a constant speed.

• Part A: How long would it take them to travel 400 miles at the same speed?
• Part B: How far could they travel in 6 hours at this speed?
• Part C: If they need to reach a destination 600 miles away, how long will the trip take?
• Part D: Create a table showing the distance traveled for every 2 hours of driving.
• Part E: Graph the relationship between distance traveled and time. What does the slope of the line represent?

This problem incorporates:

• Constant Speed: Understanding that speed remains the same throughout the journey.
• Proportional Relationships: Recognizing the proportional relationship between distance and time when traveling at a constant speed.
• Solving for Unknown Variables: Students will need to use proportional reasoning or set up a simple equation to find the unknown time or distance.
• Data Representation: Creating a table and graphing the data helps students visualize the relationship between distance and time.
• Interpreting Graphs: Students are asked to analyze the graph and understand the meaning of the slope in the context of the problem.

This open-ended problem encourages deeper thinking and exploration of the concepts involved.

Finally, I asked it this - Create a word problem about constant speed that is open ended and has multiple possible answers.

This is the result I got - Word Problem:

A train travels at a constant speed across the country.

• Part A: Determine at least three different possible combinations of travel time and distance the train could cover, given that it travels at a constant speed.
• Part B: Create a table to represent the relationship between the distance traveled and the time taken.
• Part C: Graph the data from your table.
• Part D: What can you conclude about the relationship between distance and time based on your graph?

Open-Ended Aspects:

• Multiple Possible Answers: Part A encourages students to explore different combinations of time and distance, leading to various correct solutions.
• Data Analysis: Students are required to organize data in a table and then represent it graphically, allowing for deeper analysis and interpretation.
• Critical Thinking: Part D prompts students to analyze the graph and draw conclusions about the relationship between distance and time, fostering critical thinking and understanding of constant speed.

This problem allows for creativity and exploration while reinforcing core concepts of constant speed, data representation, and analysis.

For your edification, I used Gemini from google.  I do not know what the results are for other ai sites.  Let me know what you think, I'd love to hear.  On Monday, we'll look at a site specifically designed for teachers that uses AI.  Come check it out.  Have a good weekend.