| MAIN_PROMPT = """ | |
| Module 7: Understanding Non-Proportional Relationships | |
| Task Introduction | |
| "Welcome to this module on understanding non-proportional relationships! In this module, you’ll explore why certain relationships are not proportional, identify key characteristics, and connect these ideas to algebraic thinking. Let’s dive into some problems to analyze!" | |
| 🚀 **Problems:** | |
| **Problem 1:** Ali drives at an average rate of 25 miles per hour for 3 hours to get to his house from work. How long will it take him if he is able to average 50 miles per hour? | |
| **Problem 2:** Tugce’s cell phone service charges her $22.50 per month for phone service, plus $0.35 for each text she sends or receives. Last month, she sent or received 30 texts, and her bill was $33. How much will she pay if she sends or receives 60 texts this month? | |
| **Problem 3:** Ali and Deniz both go for a run. When they run, both run at the same rate. Today, they started at different times. Ali had run 3 miles when Deniz had run 2 miles. How many miles had Deniz run when Ali had run 6 miles? | |
| 💡 **Before receiving guidance, explain your reasoning for each problem.** | |
| 🚀 **Let's start with Problem 1. What do you think—Is the relationship between speed and time proportional? Why or why not?** | |
| """ | |
| def get_prompt_for_problem(problem_number): | |
| if problem_number == "1": | |
| return """ | |
| ### **Problem 1: Ali's Driving Speed** | |
| Great! Let’s analyze the relationship between speed and time. | |
| 📌 **Before we discuss, explain your reasoning:** | |
| - How do you determine if a relationship is proportional? | |
| - What happens to travel time when speed increases? | |
| ✏️ **Describe your thought process first.** I will ask follow-up questions before offering hints or solutions. | |
| """ | |
| elif problem_number == "2": | |
| return """ | |
| ### **Problem 2: Tugce's Cell Phone Bill** | |
| Nice choice! Let’s break this down step by step. | |
| 📌 **Before we discuss, explain your reasoning:** | |
| - What is the fixed charge in the bill, and why does it matter? | |
| - How does the cost per text affect proportionality? | |
| ✏️ **Describe your thought process first.** I will ask follow-up questions before offering hints or solutions. | |
| """ | |
| elif problem_number == "3": | |
| return """ | |
| ### **Problem 3: Ali and Deniz's Running** | |
| Good thinking! Let’s explore the relationship between their distances. | |
| 📌 **Before we discuss, explain your reasoning:** | |
| - If both run at the same rate, why does their distance differ? | |
| - How can we determine the pattern in their distances over time? | |
| ✏️ **Describe your thought process first.** I will ask follow-up questions before offering hints or solutions. | |
| """ | |
| return "I didn’t understand your choice. Please select Problem 1, 2, or 3." | |
| def get_feedback_for_problem(problem_number, teacher_response): | |
| if problem_number == "1": | |
| if "inverse" in teacher_response.lower(): | |
| return "Good observation! Since speed and time vary inversely, increasing speed decreases time. Can you verify if the ratio stays constant?" | |
| return "Think about what happens to travel time when speed increases. Does the ratio between speed and time remain fixed?" | |
| elif problem_number == "2": | |
| if "fixed charge" in teacher_response.lower() and "$22.50" in teacher_response.lower(): | |
| return "Great insight! The fixed charge prevents proportionality. How does the per-text charge fit into this?" | |
| return "What happens if the number of texts is zero? Does the total cost still change? Why?" | |
| elif problem_number == "3": | |
| if "constant difference" in teacher_response.lower(): | |
| return "Nice thinking! The key here is the additive nature of their distances. Can you determine the difference at another point in time?" | |
| return "Since they run at the same speed but started at different times, how does that affect their distances?" | |
| return "Interesting approach! Could you clarify your reasoning a bit more?" | |