Spaces:
Sleeping
Sleeping
### 🚀 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. | |
💡 **First, I will ask you questions and let you solve them before I provide hints or solutions.** | |
Are you ready?" | |
""" | |
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?" | |
💡 **Before solving, think about this:** | |
- "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?" | |
- **Give it a try before I provide hints!** Type your answer. | |
""" | |
elif step == 2: | |
return """🔹 **If you’re unsure, here’s a hint:** | |
1️⃣ "Try setting up a proportion: | |
$$ \frac{2}{25} = \frac{24}{x} $$ | |
Does this equation make sense?" | |
💡 **Try again! Type what you think.** | |
""" | |
elif step == 3: | |
return """2️⃣ "Now, cross-multiply: | |
$$ 2 \times x = 24 \times 25 $$ | |
Can you solve for \( x \)?" | |
💡 **Still stuck? Let me know.** | |
""" | |
elif step == 4: | |
return """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 == 5: | |
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?" | |
💡 **Try solving it first!** | |
- "What does ‘better deal’ mean mathematically?" | |
- "How do we compare prices fairly?" | |
""" | |
elif step == 6: | |
return """🔹 **If you need a hint, here’s the first 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)" | |
💡 **Try again and type your answer.** | |
""" | |
elif step == 7: | |
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?" | |
💡 **Try explaining your reasoning before I provide hints.** | |
""" | |
elif step == 8: | |
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 == 9: | |
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?**" | |