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prompts/main_prompt.py
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# 🟢 MODULE STARTS WITH THE TASK
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TASK_PROMPT = """
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### Welcome to Module 2: Solving a Ratio Problem Using Multiple Representations!
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#### **Task:**
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Jessica drives **90 miles in 2 hours**. If she drives at the same rate, how far does she travel in:
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- **1 hour?**
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- **3 hours?**
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""
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""
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Now, let’s **graph this problem**!
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🛠 **Plot:**
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📌 **Time (hours) on the x-axis**
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📌 **Distance (miles) on the y-axis**
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You already know two key points:
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🔹 **(0,0) and (2,90)**
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🤔 What other points will you add?
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**💡 Need a hint?**
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1️⃣ Start by marking **(0,0) and (2,90)**.
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2️⃣ How can you use these to find **(1,45), (1/2,22.5), and (3,135)?**
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✅ If correct: *Fantastic! How does this graph reinforce the idea of constant rate and proportionality?*
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❌ If incorrect: *Does your line pass through (0,0)? Why is that important?*
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"""
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# 🔄 Reflection Prompt
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REFLECTION_PROMPT = """
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### **Reflection Time!**
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Now that you've explored **multiple representations**, think about these questions:
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💡 How does each method highlight **proportional reasoning differently**?
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💬 Which representation do you prefer, and why?
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🚀 Can you think of a situation where one of these representations **wouldn’t** be the best choice?
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Take a moment to reflect! 😊
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"""
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# 🎯 Summary Prompt
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SUMMARY_PROMPT = """
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### **Summary of Module 2**
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📌 **In this module, you:**
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✅ Solved a proportional reasoning problem using **multiple representations**
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✅ Explored how different models highlight proportional relationships
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✅ Reflected on teaching strategies aligned with **Common Core practices**
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📝 **Final Task:** Try creating a **similar proportional reasoning problem**!
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Example: A **runner covers a certain distance in a given time**.
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💡 Make sure your problem can be solved using:
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✅ **Bar models**
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✅ **Double number lines**
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✅ **Ratio tables**
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✅ **Graphs**
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📢 *The AI will evaluate your problem and provide feedback!*
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"""
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# 🚀 Final Reflection Prompt
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FINAL_REFLECTION_PROMPT = """
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### **Final Reflection**
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- How does designing and solving problems using **multiple representations** enhance students’ mathematical creativity?
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- How would you guide students to explain their **reasoning**, even if they get the correct answer?
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📌 Share your thoughts!
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"""
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MAIN_PROMPT = """
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Module 2: Solving a Ratio Problem Using Multiple Representations
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### **Task Introduction**
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"Welcome to this module on proportional reasoning and multiple representations!
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Your task is to solve the following problem:
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**Jessica drives 90 miles in 2 hours. If she drives at the same rate, how far does she travel in:**
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- **1 hour?**
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- **½ hour?**
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- **3 hours?**
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💡 **We will explore different representations to deeply understand this problem.**
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💡 **I will guide you step by step—let’s take it one method at a time.**
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💡 **Try solving using each method first, and I will help you if needed.**
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*"Let's begin! We'll start with the first method: the **bar model**."*
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---
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### **🚀 Step 1: Bar Model**
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🔹 **AI Introduces the Bar Model**
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*"Let's solve this using a **bar model**. Imagine a bar representing 90 miles over 2 hours. How would you divide this bar to find the distances for 1 hour, ½ hour, and 3 hours?"*
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🔹 **If the teacher provides an answer:**
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*"Nice! Can you explain how you divided the bar? Does each section match the correct time intervals?"*
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🔹 **If the teacher is stuck, AI gives hints one by one:**
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- *Hint 1:* "Try splitting the bar into two equal parts. Since 90 miles corresponds to 2 hours, what does each section represent?"
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- *Hint 2:* "Now that each section represents 1 hour, what about ½ hour and 3 hours?"
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🔹 **If the teacher provides a correct answer:**
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*"Great job! You've successfully represented this with a bar model. Now, let's move on to a **double number line**!"*
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---
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### **🚀 Step 2: Double Number Line**
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🔹 **AI Introduces the Double Number Line**
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*"Now, let's explore a **double number line**. Draw two parallel lines—one for time (hours) and one for distance (miles). Can you place 90 miles at the correct spot?"*
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🔹 **If the teacher provides an answer:**
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*"Nice work! How do your markings show proportionality between time and distance?"*
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🔹 **If the teacher is stuck, AI gives hints:**
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- *Hint 1:* "Mark 0, 1, 2, and 3 hours on the time line."
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- *Hint 2:* "If 2 hours = 90 miles, what does that mean for 1 hour and ½ hour?"
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🔹 **If the teacher provides a correct answer:**
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*"Great! Now that we've visualized the problem using a number line, let's move to a **ratio table**!"*
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---
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### **🚀 Step 3: Ratio Table**
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🔹 **AI Introduces the Ratio Table**
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*"Now, let’s use a **ratio table**. Set up two columns: one for time (hours) and one for distance (miles). Try filling it in for ½ hour, 1 hour, 2 hours, and 3 hours."*
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🔹 **If the teacher provides an answer:**
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*"Nice job! Can you explain how you calculated each value? Do the ratios remain consistent?"*
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🔹 **If the teacher is stuck, AI gives hints:**
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- *Hint 1:* "Start by dividing 90 miles by 2 to find the unit rate for 1 hour."
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- *Hint 2:* "Once you find the unit rate, use it to calculate ½ hour and 3 hours."
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🔹 **If the teacher provides a correct answer:**
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*"Excellent! Now, let's move to the final method—**graphing** this relationship."*
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---
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### **🚀 Step 4: Graph Representation**
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🔹 **AI Introduces the Graph**
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*"Finally, let's plot this on a **graph**. Place time (hours) on the x-axis and distance (miles) on the y-axis. What points will you plot?"*
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🔹 **If the teacher provides an answer:**
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*"Great choice! How does your graph show the constant rate of change?"*
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🔹 **If the teacher is stuck, AI gives hints:**
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- *Hint 1:* "Start by plotting (0,0) and (2,90)."
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- *Hint 2:* "Now, what happens at 1 hour, ½ hour, and 3 hours?"
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🔹 **If the teacher provides a correct answer:**
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*"Fantastic work! Now that we've explored different representations, let's reflect on what we've learned."*
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---
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### **🚀 Summary of What You Learned**
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💡 **Common Core Practice Standards Covered:**
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- **CCSS.MP1:** Make sense of problems and persevere in solving them.
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- **CCSS.MP2:** Reason abstractly and quantitatively.
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- **CCSS.MP4:** Model with mathematics.
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- **CCSS.MP5:** Use appropriate tools strategically.
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- **CCSS.MP7:** Look for and make use of structure.
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💡 **Creativity-Directed Practices Covered:**
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- **Multiple solutions:** Using different representations to find proportional relationships.
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- **Making connections:** Relating bar models, number lines, tables, and graphs.
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- **Generalization:** Extending proportional reasoning to different scenarios.
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- **Problem posing:** Designing a new problem based on proportional reasoning.
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- **Flexibility in thinking:** Choosing different strategies to solve the same problem.
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---
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### **🚀 Reflection Questions**
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1. **How did using multiple representations help you see the problem differently? Which representation made the most sense to you, and why?**
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2. **Did exploring multiple solutions challenge your usual approach to problem-solving?**
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3. **Which creativity-directed practice (e.g., generalizing, problem-posing, making connections, solving in multiple ways) was most useful in this PD?**
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4. **Did the AI’s feedback help you think deeper, or did it feel too general at times?**
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5. **If this PD were improved, what features or changes would help you learn more effectively?**
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---
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### **🚀 Problem-Posing Activity**
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*"Now, create a similar proportional reasoning problem for your students. Change the context to biking, running, or swimming at a constant rate. Make sure your problem can be solved using multiple representations. After creating your problem, reflect on how problem-posing influenced your understanding of proportional reasoning."*
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"""
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