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