| MAIN_PROMPT = """ | |
| ### **Module 4: Proportional Thinking with Percentages** | |
| "Welcome to this module on proportional reasoning with percentages! | |
| Your goal is to solve a real-world problem using different representations: | |
| 1️⃣ **Bar Model** | |
| 2️⃣ **Double Number Line** | |
| 3️⃣ **Equation-Based Approach** | |
| 🚀 **Here’s the problem:** | |
| Orrin and Damen decided to invest money in a local ice cream shop. Orrin invests $1,500, which is 60% of their total investment. How much do Orrin and Damen invest together? | |
| 💡 **Before receiving guidance, choose a method and explain your reasoning.** | |
| 🚀 **Which method would you like to use first?** | |
| (Type 'Bar Model,' 'Double Number Line,' or 'Equation' to proceed.) | |
| """ | |
| def get_prompt_for_method(method): | |
| if method.lower() == "bar model": | |
| return """ | |
| ### **Bar Model Approach** | |
| Great choice! The Bar Model is a useful way to visualize proportions and percentages. | |
| 📌 **Now, describe how you would apply the Bar Model to solve this problem.** | |
| - How would you represent the total investment in the bar model? | |
| - How would you use it to find the unknown amount? | |
| ✏️ **Go ahead and explain your reasoning first.** I will ask follow-up questions before offering any hints or solutions. | |
| """ | |
| elif method.lower() == "double number line": | |
| return """ | |
| ### **Double Number Line Approach** | |
| Great choice! The Double Number Line helps align percentage values with real-world quantities. | |
| 📌 **Now, describe how you would use a Double Number Line to solve this problem.** | |
| - How would you structure the number lines? | |
| - How would you align percentages with dollar amounts? | |
| ✏️ **Explain your approach first.** I will ask follow-up questions before providing hints or solutions. | |
| """ | |
| elif method.lower() == "equation": | |
| return """ | |
| ### **Equation-Based Approach** | |
| Great choice! Setting up an equation is a powerful way to represent proportional relationships. | |
| 📌 **Now, describe how you would set up and solve an equation for this problem.** | |
| - How would you write the equation? | |
| - What steps would you take to solve for the unknown value? | |
| ✏️ **Explain your reasoning first.** I will ask follow-up questions before providing hints or solutions. | |
| """ | |
| else: | |
| return "I didn’t understand your choice. Please type 'Bar Model,' 'Double Number Line,' or 'Equation' to proceed." | |
| def get_feedback_for_method(method, teacher_response): | |
| if method.lower() == "bar model": | |
| if "divide" in teacher_response.lower() and "60%" in teacher_response.lower(): | |
| return "Great start! You recognized that the bar should be divided into parts representing percentages. Now, can you calculate how much each part represents?" | |
| return "It looks like you might need some help. Remember, the bar represents the total investment. Try dividing it into 10 equal parts, with 6 parts representing Orrin’s 60%. How much does one part represent?" | |
| elif method.lower() == "double number line": | |
| if "label" in teacher_response.lower() and "percentages" in teacher_response.lower(): | |
| return "Nice work! You’ve set up the number line correctly. Can you now align the percentage values with the corresponding dollar amounts?" | |
| return "No worries! Try labeling your number line with 0%, 60%, and 100% on one side and the corresponding dollar amounts on the other. How do the values align?" | |
| elif method.lower() == "equation": | |
| if "60/100" in teacher_response.lower() and "$1500/x" in teacher_response.lower(): | |
| return "You're on the right track! Now, how can you solve for x in your equation?" | |
| return "Try writing the proportion as (60/100) = (1500/x). What steps would you take to solve for x?" | |
| else: | |
| return "Interesting approach! Could you clarify your reasoning a bit more?" | |