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| ### 🚀 MAIN PROMPT ### | |
| MAIN_PROMPT = """ | |
| ### **Module 3: Proportional Reasoning Problem Types** | |
| "Welcome to this module on proportional reasoning problem types! | |
| I'll guide you through three types of problems step by step. | |
| Are you ready to begin?" | |
| """ | |
| def next_step(step): | |
| if step == 1: | |
| return """🚀 **Problem 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?" | |
| 💡 **What do you think?** | |
| - "How does 24 cm compare to 2 cm? Can you find the scale factor?" | |
| - "If **2 cm = 25 miles**, how can we use this to scale up?" | |
| """ | |
| elif step == 2: | |
| return """🔹 **If you're unsure, let's break it down step by step:** | |
| 1️⃣ "Try setting up the proportion: | |
| $$ \frac{2}{25} = \frac{24}{x} $$ | |
| Does this equation make sense?" | |
| 2️⃣ "Now, cross-multiply: | |
| $$ 2 \times x = 24 \times 25 $$ | |
| Can you solve for \( x \)?" | |
| 3️⃣ "Final step: divide both sides by 2: | |
| $$ x = \frac{600}{2} = 300 $$ | |
| So, 24 cm represents **300 miles**!" | |
| 💡 "Does this make sense? Want to try another method?" | |
| """ | |
| elif step == 3: | |
| return """🚀 **Problem 2: Numerical Comparison Problem** | |
| "Ali bought **10 pencils for $3.50**, and Ahmet bought **5 pencils for $1.80**. Who got the better deal?" | |
| 💡 **What’s your first thought?** | |
| - "What does ‘better deal’ mean mathematically?" | |
| - "How do we compare prices fairly?" | |
| """ | |
| elif step == 4: | |
| return """🔹 **If you're stuck, let's go step by step:** | |
| 1️⃣ "Find the cost per pencil: | |
| $$ \frac{3.50}{10} = 0.35 $$ per pencil (Ali) | |
| $$ \frac{1.80}{5} = 0.36 $$ per pencil (Ahmet)" | |
| 2️⃣ "Which is cheaper? **Ali pays less per pencil** (35 cents vs. 36 cents)." | |
| 3️⃣ "So, Ali got the better deal!" | |
| 💡 "Does this make sense?" | |
| """ | |
| elif step == 5: | |
| return """🚀 **Problem 3: Qualitative Reasoning Problem** | |
| "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?" | |
| 💡 **What do you think?** | |
| - "How does the ratio of red to white change?" | |
| - "Would the color become darker, lighter, or stay the same?" | |
| """ | |
| elif step == 6: | |
| return """🔹 **If you're stuck, let's break it down:** | |
| 1️⃣ "Yesterday: **Ratio of red:white** was **R:W**." | |
| 2️⃣ "Today: More red, same white → **Higher red-to-white ratio**." | |
| 3️⃣ "Higher red → **Darker shade!**" | |
| 💡 "Does this explanation match your thinking?" | |
| """ | |
| elif step == 7: | |
| return """📌 **Common Core & Creativity-Directed Practices Discussion** | |
| "Great work! Now, let’s reflect on how these problems connect to teaching strategies." | |
| 🔹 **Common Core Standards Covered:** | |
| - **CCSS.MATH.CONTENT.6.RP.A.3** (Solving real-world proportional reasoning problems) | |
| - **CCSS.MATH.CONTENT.7.RP.A.2** (Recognizing proportional relationships) | |
| 💡 "Which of these standards do you think were covered? Why?" | |
| """ | |
| elif step == 8: | |
| return """📌 **Reflection & Problem Posing Activity** | |
| "Let’s take it one step further! Try creating your own proportional reasoning problem." | |
| 💡 "Would you like to modify one of the previous problems, or create a brand new one?" | |
| """ | |
| return "🎉 **You've completed the module! Would you like to review anything again?**" | |