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Update prompts/main_prompt.py
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prompts/main_prompt.py
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MAIN_PROMPT = """
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### **Module 3: Proportional Reasoning Problem Types**
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#### **Task Introduction**
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"Welcome to this module on proportional reasoning problem types!
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Today, we will explore three fundamental types of proportional reasoning problems:
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1️⃣ **Missing Value Problems**
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3️⃣ **Qualitative Reasoning Problems**
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Your goal is to **solve and compare** these problems, **identify their characteristics**, and finally **create your own examples** for each type.
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💡 **Throughout this module, I will guide you step by step.**
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💡 **You will be encouraged to explain your reasoning.**
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💡 **If you’re unsure, I will provide hints rather than giving direct answers.**
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🚀 **Let’s begin! First, try solving each problem on your own. Then, I will help you refine your thinking step by step.**
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---
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### **🚀 Solve the Following Three Problems**
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📌 **Problem 1: Missing Value Problem**
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*"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?"*
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📌 **Problem 2: Numerical Comparison Problem**
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*"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?"*
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📌 **Problem 3: Qualitative Reasoning Problem**
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*"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?"*
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"""
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"""
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💡 **Before I give hints, try to answer these questions:**
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- "What does 'better deal' mean mathematically?"
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- "How can we calculate the **cost per pencil** for each person?"
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- "Why is unit price useful for comparison?"
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🔹 **If you're unsure, let's break it down!**
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- *Hint 1:* "Find the cost per pencil for each person:
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$$ \\frac{3.50}{10} $$
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$$ \\frac{1.80}{5} $$
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What do you get?"
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- *Hint 2:* "Which value is smaller? What does that tell you about who got the better deal?"
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🔹 **If you provided a correct answer, AI continues engaging:**
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- "Nice work! You found Ali's price per pencil is **$0.35**, and Ahmet's is **$0.36**. Why does this comparison matter?"
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- "Would this always be the best way to compare purchases, or are there cases where other factors matter?"
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- "How would you help students understand the importance of unit rates?"
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🔹 **AI transitions naturally to the final problem:**
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*"Great! Now that we've analyzed numerical comparisons, let’s apply our reasoning skills to a **qualitative proportionality** problem!"*
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"""
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### **🚀 Step 3: Qualitative Reasoning Problem**
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🔹 **Let’s reason through this!**
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*"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?"*
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💡 **Before I give hints, try to answer these questions:**
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- "If the amount of white paint stays the same, but the red paint increases, what happens to the ratio of red to white?"
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- "Would today’s mixture be darker, lighter, or stay the same?"
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- "How would you explain this concept without using numbers?"
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🔹 **If you're unsure, let’s break it down!**
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- *Hint 1:* "Imagine yesterday’s ratio was **1 part red : 1 part white**. If we increase the red, what happens?"
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- *Hint 2:* "If the ratio of red to white increases, does the color become more red or less red?"
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🔹 **If you provided a correct answer, AI continues engaging:**
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- "Great! You correctly said today’s mixture is **more red**. But why does that happen?"
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- "Could you think of a real-life example where changing a ratio affects an outcome?"
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- "How would you help a student struggling with this type of reasoning?"
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🚀 **Great job! Now, let's reflect on what we've learned.**
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"""
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### 🚀 MAIN PROMPT ###
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MAIN_PROMPT = """
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### **Module 3: Proportional Reasoning Problem Types**
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"Welcome to this module on proportional reasoning problem types!
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Today, we will explore three fundamental types of proportional reasoning problems:
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1️⃣ **Missing Value Problems**
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3️⃣ **Qualitative Reasoning Problems**
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Your goal is to **solve and compare** these problems, **identify their characteristics**, and finally **create your own examples** for each type.
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💡 **Throughout this module, I will guide you step by step.**
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💡 **You will be encouraged to explain your reasoning before receiving hints.**
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💡 **If you’re unsure, I will provide hints rather than giving direct answers.**
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🚀 **Let’s begin! First, try solving each problem on your own. Then, I will help you refine your thinking step by step.**
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"""
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def next_step(step):
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if step == 1:
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return """🚀 **Problem 1: Missing Value Problem**
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"The scale on a map is **2 cm represents 25 miles**. If a measurement is **24 cm**, how many miles does it represent?"
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💡 **Before solving, think about this:**
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- "How does 24 cm compare to 2 cm? Can you find the scale factor?"
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- "If **2 cm = 25 miles**, how can we use this to scale up?"
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🔹 **Try solving it before I provide hints! Type your answer below.**
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"""
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elif step == 2:
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return """🔹 **Hint 1:**
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1️⃣ "Try setting up a proportion:
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$$ \\frac{2}{25} = \\frac{24}{x} $$
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Does this equation make sense?"
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💡 **Try answering before moving forward.**
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"""
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elif step == 3:
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return """🔹 **Hint 2:**
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2️⃣ "Now, cross-multiply:
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$$ 2 \\times x = 24 \\times 25 $$
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Can you solve for \( x \)?"
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💡 **Give it a shot!**
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"""
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elif step == 4:
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return """✅ **Solution:**
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"Final step: divide both sides by 2:
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$$ x = \\frac{600}{2} = 300 $$
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So, 24 cm represents **300 miles**!"
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💡 "Does this answer make sense? Want to try another method?"
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"""
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elif step == 5:
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return """🚀 **Problem 2: Numerical Comparison Problem**
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"Ali bought **10 pencils for $3.50**, and Ahmet bought **5 pencils for $1.80**. Who got the better deal?"
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💡 **Try solving it before I provide hints!**
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"""
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elif step == 6:
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return """🔹 **Hint 1:**
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1️⃣ "Find the cost per pencil:
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$$ \\frac{3.50}{10} = 0.35 $$ per pencil (Ali)
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$$ \\frac{1.80}{5} = 0.36 $$ per pencil (Ahmet)"
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💡 **Try calculating it before moving forward!**
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"""
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elif step == 7:
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return """✅ **Solution:**
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"Which is cheaper?
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- **Ali pays less per pencil** (35 cents vs. 36 cents).
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So, **Ali got the better deal!**"
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💡 "Does this make sense? Would you like to discuss unit rates more?"
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"""
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elif step == 8:
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return """🚀 **Problem 3: Qualitative Reasoning Problem**
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"Kim is mixing paint. Yesterday, she mixed red and white paint. Today, she added **more red paint** but kept the **same white paint**. What happens to the color?"
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💡 **Think before answering:**
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- "How does the ratio of red to white change?"
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- "Would the color become darker, lighter, or stay the same?"
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🔹 **Try explaining before I provide hints!**
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"""
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elif step == 9:
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return """🔹 **Hint 1:**
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1️⃣ "Yesterday: **Ratio of red:white** was **R:W**."
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2️⃣ "Today: More red, same white → **Higher red-to-white ratio**."
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3️⃣ "Higher red → **Darker shade!**"
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💡 "Does this explanation match your thinking?"
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"""
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elif step == 10:
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return """📌 **Common Core & Creativity-Directed Practices Discussion**
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"Great job! Now, let’s reflect on how these problems connect to teaching strategies."
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🔹 **Common Core Standards Covered:**
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- **CCSS.MATH.CONTENT.6.RP.A.3** (Solving real-world proportional reasoning problems)
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- **CCSS.MATH.CONTENT.7.RP.A.2** (Recognizing proportional relationships)
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💡 "Which of these standards do you think were covered? Why?"
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"""
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elif step == 11:
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return """🔹 **Creativity-Directed Practices Discussion**
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"Throughout these problems, we engaged in creativity-directed strategies, such as:
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✅ Encouraging multiple solution methods
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✅ Using real-world contexts
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✅ Thinking critically about proportional relationships
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💡 "Which of these strategies did you find the most helpful? Why?"
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"""
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elif step == 12:
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return """📌 **Reflection & Problem Posing Activity**
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"Let’s take it one step further! Try creating your own proportional reasoning problem."
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💡 "Would you like to modify one of the previous problems, or create a brand new one?"
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"""
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return "🎉 **You've completed the module! Would you like to review anything again?**"
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