| 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, please apply the Bar Model and explain your approach.** |
| - How would you represent the total investment in the bar model? |
| - How would you use it to find the unknown amount? |
| |
| ✏️ **Go ahead and describe your approach first.** I will provide feedback after hearing your reasoning. |
| """ |
|
|
| 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, please apply the Double Number Line and explain your approach.** |
| - How would you structure the number lines? |
| - How would you align percentages with dollar values? |
| |
| ✏️ **Go ahead and describe your approach first.** I will provide feedback after hearing your reasoning. |
| """ |
|
|
| elif method.lower() == "equation": |
| return """ |
| ### **Equation-Based Approach** |
| Great choice! Setting up an equation is a powerful way to represent proportional relationships. |
| |
| 📌 **Now, please apply the Equation method and explain your approach.** |
| - How would you write an equation to represent this problem? |
| - What steps would you take to solve for the unknown? |
| |
| ✏️ **Go ahead and describe your approach first.** I will provide feedback after hearing your reasoning. |
| """ |
|
|
| 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): |
| teacher_response = teacher_response.lower().strip() |
|
|
| if method.lower() == "bar model": |
| if "divide" in teacher_response and "60%" in teacher_response: |
| return "Great start! You recognized that the bar should be divided into parts representing percentages. Now, can you calculate how much each part represents?" |
| elif "10%" in teacher_response or "one part is 10%" in teacher_response: |
| return "Nice work! Each part represents 10% of the total. Now, how much does one part represent in dollars?" |
| elif "250" in teacher_response: |
| return "Correct! Each part is worth $250. Now, how can you use this to determine the total investment?" |
| else: |
| return "You're close! Remember, the bar represents the total investment. Try dividing it into 10 equal parts, with 6 parts representing Orrin’s 60%. What would one part represent in percentage and dollars?" |
| |
| elif method.lower() == "double number line": |
| if "label" in teacher_response and "percentages" in teacher_response: |
| return "Nice work! You’ve set up the number line correctly. Can you now align the percentage values with the corresponding dollar amounts?" |
| elif "10%" in teacher_response or "one part is 10%" in teacher_response: |
| return "Good thinking! Each section represents 10% of the total investment. Now, how much is 10% in dollars?" |
| elif "250" in teacher_response: |
| return "That's right! Each section is worth $250. Now, can you find the total investment?" |
| else: |
| return "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 and "$1500/x" in teacher_response: |
| return "You're on the right track! Now, how can you solve for x in your equation?" |
| elif "cross multiply" in teacher_response: |
| return "Yes! Using cross multiplication will help. What do you get when solving for x?" |
| elif "2500" in teacher_response: |
| return "Great! The total investment is $2,500. Would you like to reflect on how the equation helped in solving this?" |
| else: |
| return "Try writing the proportion as (60/100) = (1500/x). What steps would you take to solve for x?" |
| |
| return "Interesting approach! Could you clarify your reasoning a bit more?" |
|
|