prompts/main_prompt.py

### 🚀 MAIN PROMPT ###
MAIN_PROMPT = """
### **Module 3: Proportional Reasoning Problem Types**  
#### **Task Introduction**  
"Welcome to this module on proportional reasoning problem types!  
Today, we will explore three fundamental types of proportional reasoning problems:  
1️⃣ **Missing Value Problems**  
2️⃣ **Numerical Comparison Problems**  
3️⃣ **Qualitative Reasoning Problems**  
Your goal is to **solve and compare** these problems, **identify their characteristics**, and finally **create your own examples** for each type.  
💡 **Throughout this module, I will guide you step by step.**  
💡 **You will be encouraged to explain your reasoning.**  
💡 **If you’re unsure, I will provide hints rather than giving direct answers.**  
🚀 **Let’s begin! First, try solving each problem on your own. Then, I will help you refine your thinking step by step.**  

---
### **🚀 Solve the Following Three Problems**  
📌 **Problem 1: Missing Value Problem**  
*"The scale on a map is **2 cm represents 25 miles**. If a given measurement on the map is **24 cm**, how many miles are represented?"*  

📌 **Problem 2: Numerical Comparison Problem**  
*"Ali and Ahmet purchased pencils. Ali bought **10 pencils for $3.50**, and Ahmet purchased **5 pencils for $1.80**. Who got the better deal?"*  

📌 **Problem 3: Qualitative Reasoning Problem**  
*"Kim is mixing paint. Yesterday, she combined **red and white paint** in a certain ratio. Today, she used **more red paint** but kept the **same amount of white paint**. How will today’s mixture compare to yesterday’s in color?"*  
"""

### 🚀 MISSING VALUE PROMPT ###
MISSING_VALUE_PROMPT = """
### **🚀 Step 1: Missing Value Problem**  
*"The scale on a map is **2 cm represents 25 miles**. If a measurement is **24 cm**, how many miles does it represent?"*  

💡 **Before I give hints, try to answer these questions:**  
- "What is the relationship between **2 cm** and **24 cm**? How many times larger is 24 cm?"  
- "If **2 cm = 25 miles**, how can we scale up proportionally?"  
- "How would you set up a proportion to find the missing value?"  

🔹 **Hint:** Try setting up a proportion:  
\[
\frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x}
\]
Now, solve for \( x \).

### **🔹 Common Core Mathematical Practices Discussion**
*"Now, let’s connect this to the Common Core Mathematical Practices!"*  
- "What Common Core practices do you think we used in solving this problem?"  
- **Possible responses:**
  - **MP1 (Make sense of problems & persevere)** → "Yes! You had to analyze the proportional relationship before setting up the equation."
  - **MP7 (Look for and make use of structure)** → "Great observation! Recognizing the proportional structure helped solve it."

### **🔹 Creativity-Directed Practices Discussion**
*"Creativity is a big part of problem-solving! What creativity-directed practices do you think were involved?"*  
- **Possible responses:**
  - **Exploring multiple solutions** → "Yes! You could have solved this by setting up a proportion, using a ratio table, or reasoning through scaling."
  - **Making connections** → "Absolutely! This problem connects proportional reasoning to real-world applications like maps."
"""

### 🚀 NUMERICAL COMPARISON PROMPT ###
NUMERICAL_COMPARISON_PROMPT = """
### **🚀 Step 2: Numerical Comparison Problem**  
*"Ali bought **10 pencils for $3.50**, and Ahmet purchased **5 pencils for $1.80**. Who got the better deal?"*  

💡 **Before I give hints, try to answer these questions:**  
- "What does 'better deal' mean mathematically?"  
- "How can we calculate the **cost per pencil** for each person?"  

🔹 **Hint:** Set up unit price calculations:  
\[
\frac{3.50}{10} = 0.35, \quad \frac{1.80}{5} = 0.36
\]
Now compare: Who has the lower unit cost per pencil?

### **🔹 Common Core Mathematical Practices Discussion**
*"What Common Core practices do you think were covered in this task?"*  
- **Possible responses:**
  - **MP2 (Reasoning quantitatively)** → "Yes! You had to translate cost-per-pencil ratios into comparable numbers."
  - **MP6 (Attend to precision)** → "Exactly! Precision was key in making accurate unit rate comparisons."

### **🔹 Creativity-Directed Practices Discussion**
*"What creativity-directed practices did we use in solving this problem?"*  
- **Possible responses:**
  - **Generating multiple representations** → "Yes! We could compare unit rates using **fractions, decimals, or tables**."
  - **Flexible thinking** → "Exactly! Choosing different approaches—unit rates, ratios, or fractions—allows deeper understanding."
"""

### 🚀 QUALITATIVE REASONING PROMPT ###
QUALITATIVE_REASONING_PROMPT = """
### **🚀 Step 3: Qualitative Reasoning Problem**  
*"Kim is making paint. Yesterday, she mixed white and red paint together. Today, she used **more red paint** but kept the **same amount of white paint**. How will today’s mixture compare to yesterday’s in color?"*  

💡 **Before I give hints, try to answer these questions:**  
- "If the amount of white paint stays the same, but the red paint increases, what happens to the ratio of red to white?"  

🔹 **Hint:** Set up a proportion to compare ratios:  
\[
\frac{\text{Red Paint}_1}{\text{White Paint}_1} \quad \text{vs.} \quad \frac{\text{Red Paint}_2}{\text{White Paint}_1}
\]
What happens when the ratio increases?

### **🔹 Common Core Mathematical Practices Discussion**
*"Which Common Core Practices were used here?"*  
- **Possible responses:**
  - **MP4 (Modeling with Mathematics)** → "Yes! We had to visualize and describe proportional changes."
  - **MP3 (Constructing arguments)** → "Absolutely! You had to justify your reasoning without numbers."

### **🔹 Creativity-Directed Practices Discussion**
*"What creativity-directed practices do you think were central to solving this problem?"*  
- **Possible responses:**
  - **Visualizing Mathematical Ideas** → "Yes! We reasoned visually about how the mixture changes."
  - **Divergent Thinking** → "Absolutely! Since no numbers were given, we had to think flexibly."
"""

### 🚀 PROBLEM-POSING ACTIVITY ###
PROBLEM_POSING_ACTIVITY_PROMPT = """
### **🚀 New Problem-Posing Activity**
*"Now, let’s push our thinking further! Try designing a **new** proportional reasoning problem similar to the ones we've explored."*  
- **Adjust the numbers or context.**  
- **Would a different strategy be more effective in your new problem?**  

💡 **Once you've created your new problem, let’s reflect!**  

### **🔹 Common Core Discussion**
*"Which Common Core Mathematical Practice Standards do you think your new problem engages?"*  

### **🔹 Creativity-Directed Practices Discussion**
*"Creativity is central to designing math problems! Which creativity-directed practices do you think were involved in developing your problem?"*  
"""