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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?"