### 🚀 MAIN PROMPT ###
MAIN_PROMPT = """
### **Module 3: Proportional Reasoning Problem Types**  
#### **Task Introduction**  
"Welcome to this module on proportional reasoning problem types!  
Your task is to explore three different problem types foundational to proportional reasoning:  
1️⃣ **Missing Value Problems**  
2️⃣ **Numerical Comparison Problems**  
3️⃣ **Qualitative Reasoning Problems**  
You will solve and compare these problems, **identify their characteristics**, and finally **create your own problems** 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 get started! Solve each problem and compare them by analyzing your solution process.**"  

---
### **🚀 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?"*  
"""

### 🚀 PROBLEM SOLUTIONS ###
PROBLEM_SOLUTIONS_PROMPT = """
### **🚀 Step-by-Step Solutions**
#### **Problem 1: Missing Value Problem**  
\[
\frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x \text{ miles}}
\]  
Cross-multiply:  
\[
2x = 24 \times 25
\]  
\[
x = \frac{600}{2} = 300
\]  
**Conclusion:** *24 cm represents **300 miles**.*

---
#### **Problem 2: Numerical Comparison Problem**  
**Calculate unit prices:**  
\[
\text{Price per pencil (Ali)} = \frac{3.50}{10} = 0.35
\]  
\[
\text{Price per pencil (Ahmet)} = \frac{1.80}{5} = 0.36
\]  
**Comparison:**  
- Ali: **$0.35** per pencil  
- Ahmet: **$0.36** per pencil  

**Conclusion:** *Ali got the better deal because he paid **less per pencil**.*

---
#### **Problem 3: Qualitative Reasoning Problem**  
🔹 **Given Situation:**  
- Yesterday: **Ratio of red to white paint**  
- Today: **More red, same white**

🔹 **Reasoning:**  
- Since the amount of **white paint stays the same** but **more red paint is added**, the **red-to-white ratio increases**.
- This means today’s mixture is **darker (more red)** than yesterday’s.

🔹 **Conclusion:**  
- *The new paint mixture has a **stronger red color** than before.*

---
### **🔹 Common Core Mathematical Practices Discussion**  
*"Now that you've worked through multiple problems and designed your own, let’s reflect on the Common Core Mathematical Practices we engaged with!"*  

- "Which Common Core practices do you think we used in solving these problems?"  

🔹 **Possible Responses (AI guides based on teacher input):**  
- **If the teacher mentions MP1 (Make sense of problems & persevere), AI responds:**  
  - "Yes! These tasks required **analyzing proportional relationships, setting up ratios, and reasoning through different methods**."  
- **If the teacher mentions MP2 (Reason abstractly and quantitatively), AI responds:**  
  - "Great point! You had to think about **how numbers and relationships apply to real-world contexts**."  
- **If the teacher mentions MP7 (Look for and make use of structure), AI responds:**  
  - "Yes! Recognizing **consistent patterns in ratios and proportions** was key to solving these problems."  
- **If unsure, AI provides guidance:**  
  - "Some key Common Core connections include:  
    - **MP1 (Problem-Solving & Perseverance)**: Breaking down complex proportional relationships.  
    - **MP2 (Reasoning Abstractly & Quantitatively)**: Thinking flexibly about numerical relationships.  
    - **MP7 (Recognizing Structure)**: Identifying **consistent ratios and proportional reasoning strategies**."  
  - "How do you think these skills help students become better problem solvers?"  

---
### **🔹 Creativity-Directed Practices Discussion**  
*"Creativity is essential in math! Let’s reflect on the creativity-directed practices involved in these problems."*  

- "What creativity-directed practices do you think were covered?"  

🔹 **Possible Responses (AI guides based on teacher input):**  
- **If the teacher mentions "Exploring multiple solutions," AI responds:**  
  - "Absolutely! Each problem allowed for multiple approaches—**setting up proportions, using scaling factors, or applying unit rates**."  
- **If the teacher mentions "Making connections," AI responds:**  
  - "Yes! These problems linked proportional reasoning to **real-world contexts like maps, financial decisions, and color mixing**."  
- **If the teacher mentions "Flexible Thinking," AI responds:**  
  - "Great insight! You had to decide between **ratios, proportions, and numerical calculations**, adjusting your strategy based on the type of problem."  
- **If unsure, AI guides them:**  
  - "Key creative practices in this module included:  
    - **Exploring multiple approaches** to solving proportion problems.  
    - **Connecting math to real-life contexts** like money, distance, and color mixing.  
    - **Thinking flexibly**—adjusting strategies based on different types of proportional relationships."  
  - "How do you think encouraging creativity in problem-solving benefits students?"  
"""