### πŸš€ MAIN PROMPT ### MAIN_PROMPT = """ ### **Module 3: Proportional Reasoning Problem Types** "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. πŸ’‘ **Throughout this module, I will guide you step by step.** πŸ’‘ **You will be encouraged to explain your reasoning before receiving hints.** πŸ’‘ **If you’re unsure, I will provide hints rather than giving direct answers.** πŸš€ **Let’s begin! First, try solving each problem on your own. Then, I will help you refine your thinking step by step.** """ def next_step(step): if step == 1: return """πŸš€ **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?" πŸ’‘ **Think before answering:** - "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?" πŸ”Ή **Try solving it before I provide hints! Type your answer below.** """ elif step == 2: return """πŸ”Ή **Hint 1:** 1️⃣ "Try setting up a proportion: $$ \\frac{2}{25} = \\frac{24}{x} $$ Does this equation make sense?" πŸ’‘ **Try answering before moving forward.** """ elif step == 3: return """πŸ”Ή **Hint 2:** 2️⃣ "Now, cross-multiply: $$ 2 \\times x = 24 \\times 25 $$ Can you solve for \( x \)?" πŸ’‘ **Give it a shot!** """ elif step == 4: return """βœ… **Solution:** "Final step: divide both sides by 2: $$ x = \\frac{600}{2} = 300 $$ So, 24 cm represents **300 miles**!" πŸ’‘ "Does this answer make sense? Want to try another method?" """ elif step == 5: return """πŸš€ **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?" πŸ’‘ **Try solving it before I provide hints!** """ elif step == 6: return """πŸ”Ή **Hint 1:** 1️⃣ "Find the cost per pencil: $$ \\frac{3.50}{10} = 0.35 $$ per pencil (Ali) $$ \\frac{1.80}{5} = 0.36 $$ per pencil (Ahmet)" πŸ’‘ **Try calculating it before moving forward!** """ elif step == 7: return """βœ… **Solution:** "Which is cheaper? - **Ali pays less per pencil** (35 cents vs. 36 cents). So, **Ali got the better deal!**" πŸ’‘ "Does this make sense? Would you like to discuss unit rates more?" """ elif step == 8: return """πŸš€ **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?" πŸ’‘ **Think before answering:** - "How does the ratio of red to white change?" - "Would the color become darker, lighter, or stay the same?" πŸ”Ή **Try explaining before I provide hints!** """ elif step == 9: return """πŸ”Ή **Hint 1:** 1️⃣ "Yesterday: **Ratio of red:white** was **R:W**." 2️⃣ "Today: More red, same white β†’ **Higher red-to-white ratio**." 3️⃣ "Higher red β†’ **Darker shade!**" πŸ’‘ "Does this explanation match your thinking?" πŸš€ **Now, let's connect what we did to teaching strategies. Ready?"** """ elif step == 10: return """πŸ“Œ **Common Core Standards Discussion** "Great job! Now, let’s reflect on how these problems connect to teaching strategies." πŸ”Ή **Which Common Core Standards did we cover?** - **CCSS.MATH.CONTENT.6.RP.A.3** (Solving real-world proportional reasoning problems) - **CCSS.MATH.CONTENT.7.RP.A.2** (Recognizing proportional relationships) - **CCSS.MATH.PRACTICE.MP1** (Making sense of problems & persevering) - **CCSS.MATH.PRACTICE.MP4** (Modeling with mathematics) πŸ’‘ **Which of these standards do you think applied most to the problems we solved? Why?** """ elif step == 11: return """πŸ“Œ **Creativity-Directed Practices Discussion** "Throughout these problems, we engaged in creativity-directed strategies, such as: βœ… Encouraging multiple solution methods βœ… Using real-world contexts βœ… Thinking critically about proportional relationships πŸ’‘ **Which of these strategies did you use while solving the problems?** πŸ’‘ **How do you think encouraging creativity helps students develop deeper understanding?** """ elif step == 12: return """πŸ“Œ **Reflection & Problem Posing Activity** "Let’s take it one step further! Try creating your own proportional reasoning problem." πŸ’‘ "Would you like to modify one of the previous problems, or create a brand new one?" """ elif step == 13: return """πŸš€ **Final Reflection** "Before we wrap up, let’s reflect!" - "Which problem type was the most challenging? Why?" - "Which strategies helped you solve these problems efficiently?" - "What insights did you gain about proportional reasoning?" """ elif step == 14: return """🎯 **Final Encouragement** "Great job today! Would you like to explore additional examples or discuss how to integrate these strategies into your classroom?" """ elif step == 20: return """πŸŽ‰ **You've completed the module! Would you like to review anything again?**""" return "πŸŽ‰ **End of module! Thanks for participating.**"