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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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if method.lower() == "bar model": |
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return """ |
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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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🔹 **Before we proceed, please explain how you would apply the Bar Model to solve this problem.** |
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- How would you set up the model? |
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- How would you represent the percentages? |
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- What steps do you think are needed to find the total investment? |
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(Type your explanation below, and I’ll provide feedback!)""" |
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elif method.lower() == "double number line": |
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return """ |
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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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🔹 **Before we proceed, please explain how you would apply the Double Number Line to solve this problem.** |
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- How would you structure the number lines? |
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- What values would you place on each line? |
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- How do you think this will help you find the total investment? |
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(Type your explanation below, and I’ll provide feedback!)""" |
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elif method.lower() == "equation": |
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return """ |
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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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🔹 **Before we proceed, please explain how you would write an equation to represent this problem.** |
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- What variables would you use? |
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- How would you set up the proportion? |
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- What would be your first step in solving for the total investment? |
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(Type your explanation below, and I’ll provide feedback!)""" |
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return "I didn’t understand your choice. Please type 'Bar Model,' 'Double Number Line,' or 'Equation' to proceed." |
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def check_explanation_before_guidance(method, teacher_response): |
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if not teacher_response.strip(): |
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return "I noticed you haven’t explained your reasoning yet! Before I provide guidance, please describe how you would use the {} to solve this problem. How do you set it up?".format(method) |
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return get_feedback_for_method(method, teacher_response) |
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def get_feedback_for_method(method, teacher_response): |
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if method.lower() == "bar model": |
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if "divide" in teacher_response.lower() and "60%" in teacher_response.lower(): |
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return "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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elif "10%" in teacher_response.lower(): |
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return "Good thinking! Since 10% is one part of the bar, what happens if you multiply that by 10 to get the full investment?" |
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else: |
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return """It looks like you might need some help. Here’s how the Bar Model can be used: |
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1️⃣ **Draw a bar** representing the total investment. |
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2️⃣ **Divide it into 10 equal parts**, since percentages work in 10s. |
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3️⃣ **Shade 6 parts** to represent Orrin’s 60% investment. |
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4️⃣ **Find the value of 10%**: |
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- Since 60% = $1,500, divide $1,500 by 6. |
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5️⃣ **Find 100%** by multiplying the value of 10% by 10. |
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💡 What do you think about this approach? Would you like to adjust your method?""" |
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elif method.lower() == "double number line": |
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if "label" in teacher_response.lower() and "percentages" in teacher_response.lower(): |
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return "Nice work! You’ve set up the number line correctly. Now, can you match the percentage values with the corresponding dollar amounts?" |
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elif "find 100%" in teacher_response.lower(): |
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return "That's a key step! If you have 60% labeled, what do you need to do to determine 100%?" |
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else: |
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return """It looks like you might need some guidance. Here’s how the Double Number Line can be used: |
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1️⃣ **Draw two parallel number lines** – one for percentages (0% to 100%) and one for dollar amounts. |
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2️⃣ **Mark 60% on the percentage line** and align it with $1,500 on the dollar line. |
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3️⃣ **Find 10%** by dividing $1,500 by 6. |
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4️⃣ **Find 100%** by multiplying 10% by 10. |
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💡 Does this approach make sense? Let me know what you think!""" |
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elif method.lower() == "equation": |
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if "60/100" in teacher_response.lower() and "$1500/x" in teacher_response.lower(): |
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return "You're on the right track! Now, what would you do to solve for x?" |
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elif "cross multiply" in teacher_response.lower(): |
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return "Good step! Can you complete the cross multiplication and solve for x?" |
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else: |
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return """It looks like you might need some help. Here’s how an equation can be set up: |
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1️⃣ **Write the proportion:** |
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- (60/100) = (1500/x) |
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2️⃣ **Solve for x** by cross multiplying: |
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- 60x = 1500 × 100 |
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3️⃣ **Divide by 60** to find x. |
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💡 Try solving it using this approach. What do you get?""" |
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return "Interesting approach! Could you clarify your reasoning a bit more?" |
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