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MAIN_PROMPT = """ |
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### **Module 4: Proportional Thinking with Percentages** |
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Welcome to this module on proportional reasoning with percentages! |
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Your goal is to solve a real-world problem using different representations: |
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1️⃣ **Bar Model** |
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2️⃣ **Double Number Line** |
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3️⃣ **Equation-Based Approach** |
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🚀 **Here’s the problem:** |
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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? |
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💡 **Before receiving guidance, choose a method and explain your reasoning.** |
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🚀 **Which method would you like to use first?** |
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(Type: 'Bar Model,' 'Double Number Line,' or 'Equation' to proceed.) |
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""" |
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def get_prompt_for_method(method): |
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method = method.lower().strip() |
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prompts = { |
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"bar model": """ |
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### **Bar Model Approach** |
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Great choice! The Bar Model is a useful way to visualize proportions and percentages. |
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📌 **Now, apply the Bar Model and explain your approach:** |
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- How would you represent the total investment in the bar model? |
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- How would you use it to find the unknown amount? |
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✏️ **Go ahead and describe your approach first.** I will provide feedback after hearing your reasoning. |
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""", |
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"double number line": """ |
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### **Double Number Line Approach** |
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Great choice! The Double Number Line helps align percentage values with real-world quantities. |
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📌 **Now, apply the Double Number Line and explain your approach:** |
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- How would you structure the number lines? |
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- How would you align percentages with dollar values? |
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✏️ **Go ahead and describe your approach first.** I will provide feedback after hearing your reasoning. |
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""", |
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"equation": """ |
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### **Equation-Based Approach** |
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Great choice! Setting up an equation is a powerful way to represent proportional relationships. |
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📌 **Now, apply the Equation method and explain your approach:** |
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- How would you write an equation to represent this problem? |
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- What steps would you take to solve for the unknown? |
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✏️ **Go ahead and describe your approach first.** I will provide feedback after hearing your reasoning. |
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""" |
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} |
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return prompts.get(method, "I didn’t understand your choice. Please type 'Bar Model,' 'Double Number Line,' or 'Equation' to proceed.") |
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def get_feedback_for_method(method, teacher_response): |
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teacher_response = teacher_response.lower().strip() |
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feedback_map = { |
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"bar model": [ |
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("divide", "60%", "Great start! You recognized that the bar should be divided into parts representing percentages. Now, can you calculate how much each part represents?"), |
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("10%", "Nice work! Each part represents 10% of the total. Now, how much does one part represent in dollars?"), |
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("250", "Correct! Each part is worth $250. Now, how can you use this to determine the total investment?"), |
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("", "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?") |
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], |
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"double number line": [ |
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("label", "percentages", "Nice work! You’ve set up the number line correctly. Can you now align the percentage values with the corresponding dollar amounts?"), |
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("10%", "Good thinking! Each section represents 10% of the total investment. Now, how much is 10% in dollars?"), |
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("250", "That's right! Each section is worth $250. Now, can you find the total investment?"), |
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("", "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?") |
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], |
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"equation": [ |
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("60/100", "1500/x", "You're on the right track! Now, how can you solve for x in your equation?"), |
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("cross multiply", "Yes! Using cross multiplication will help. What do you get when solving for x?"), |
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("2500", "Great! The total investment is $2,500. Would you like to reflect on how the equation helped in solving this?"), |
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("", "Try writing the proportion as (60/100) = (1500/x). What steps would you take to solve for x?") |
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] |
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} |
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for keywords in feedback_map.get(method.lower(), []): |
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if all(word in teacher_response for word in keywords[:-1]): |
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return keywords[-1] |
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return "Interesting approach! Could you clarify your reasoning a bit more?" |
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