AI For Word Problems Part 2.

 In addition to asking AI to rewrite a 6th grade word problem to one I can use in Algebra I, I asked it to turn the same word problem into a performance task for 8th grade. This is the result just cut and pasted from the answer box.

Original 6th Grade Problem:

• A car travels 120 miles in 3 hours (with a constant speed). How long will it take to travel 200 miles?

Revised 8th Grade Performance Task:

Scenario:

You are a traffic engineer assisting with the design of a new highway. A preliminary study shows that a car traveling at a constant speed can cover a 120-mile stretch of the existing highway in 3 hours.

Task:

1. Determine the average speed of the car on the existing highway.
2. The new highway is designed to be 200 miles long. Assuming the same average speed, how long will it take to travel the entire length of the new highway?
3. Create a graph illustrating the relationship between distance traveled and time taken for the existing and proposed highways.
4. Analyze the graph.
   • What does the slope of each line represent?
   • How does the slope of the line for the new highway compare to the slope of the line for the existing highway?
   • What conclusions can you draw about the relationship between distance, time, and speed based on the graph?
5. Write a brief report summarizing your findings. Your report should include:
   • The calculations for average speed and travel time.
   • A clear and concise description of the graph.
   • A detailed analysis of the slope and its implications.
   • A conclusion that addresses the potential impact of the new highway on travel times.

Key Enhancements:

• Real-world Context: The problem is presented within a realistic scenario, making it more engaging for 8th graders.
• Multiple Components: The task now includes graphing, data analysis, and report writing, assessing a broader range of skills.
• Higher-Order Thinking: Students are required to analyze the graph, interpret the slope, and draw meaningful conclusions, promoting critical thinking.
• Communication Skills: The report writing component emphasizes clear communication of mathematical ideas.

This revised performance task provides a more challenging and engaging learning experience for 8th-grade students, aligning with their increased cognitive abilities and the need to develop deeper understanding and critical thinking skills.

I did this since I teach math for such a large grade span of students.  This way I can take one problem and have it rewritten for each grade thus making each problem focused on each grade.  On Friday, we'll look at how AI does with writing problems.  Let me know what you think, I'd love to hear.  Have a great day.