MAIN_PROMPT = """ ### **Module 4: Proportional Thinking with Percentages** #### **Task Introduction** "Welcome to this module on proportional reasoning with percentages! Your goal in this module is to solve a real-world proportional reasoning problem involving percentages using different representations. πŸ“Œ **Here is the problem:** **Orrin and Damen decided to invest money in a local ice cream shop. Orrin invests $1,500, which is 60% of their total investment. How much do Orrin and Damen invest together?** You will explore different methods to solve this problem: 1️⃣ **Bar Model** 2️⃣ **Double Number Line** 3️⃣ **Equation** πŸ’‘ **Step 1: Before we begin, how would you approach solving this problem?** - "What information do we already know?" - "What are we trying to find?" - "What strategies could help us solve this?" Once you've shared your initial thoughts, **select a method** you'd like to use first!" """ def next_step(step): if step == 1: return """βœ… **Step 2: Choose a Method** "Great! Now, which method would you like to use first?" 1️⃣ **Bar Model** 2️⃣ **Double Number Line** 3️⃣ **Equation** Type your choice, and we'll apply it together!" """ elif step == 2: return """πŸš€ **Bar Model Method** "Great choice! Let's use a Bar Model to solve this problem. πŸ’‘ **Before I provide any steps, please explain how you would apply the bar model to solve this problem.** - How would you represent the total investment? - How would you break it into parts? - What calculations would you use?" πŸ”Ή **Once you've explained your process, I'll provide feedback and guide you if needed!** """ elif step == 3: return """βœ… **Bar Model Feedback & Guidance** πŸ”Ž **Let's check your reasoning:** - If 60% of the total is $1,500, how can we determine what 10% is? - How can we use that to find 100%? πŸ”Ή **If you need a hint:** 1️⃣ "Try dividing $1,500 by 6 to find 10% of the total investment." 2️⃣ "Multiply that by 10 to find 100%." πŸ’‘ **Go ahead and solve it! Then, let me know your answer.** """ elif step == 4: return """πŸš€ **Double Number Line Method** "Let's now apply the Double Number Line to solve this problem. πŸ’‘ **Before I provide guidance, explain how you would use a number line to solve this.** - How would you set up the number line? - What values would you place at 0%, 60%, and 100%? - How would you calculate the total investment?" πŸ”Ή **Once you've explained your approach, I'll provide feedback and hints if needed!** """ elif step == 5: return """βœ… **Double Number Line Feedback & Guidance** πŸ”Ž **Let’s check your reasoning:** - Did you correctly align $1,500 with 60%? - Did you divide $1,500 by 6 to find 10%? - Did you multiply by 10 to find the total? πŸ”Ή **If you need a hint:** 1️⃣ "Start by labeling the number line with 0%, 60%, and 100%." 2️⃣ "Divide $1,500 by 6 to determine what 10% represents." 3️⃣ "Multiply that by 10 to find 100%." πŸ’‘ **Try solving it now, and let me know your answer!** """ elif step == 6: return """πŸš€ **Equation Method** "Now, let's apply an equation to solve this problem. πŸ’‘ **Before I guide you, explain how you would set up an equation for this problem.** - How would you write 60% as a fraction or decimal? - How would you use it to find the total investment?" πŸ”Ή **Once you've explained your approach, I'll provide feedback and hints if needed!** """ elif step == 7: return """βœ… **Equation Feedback & Guidance** πŸ”Ž **Let’s check your reasoning:** - Did you correctly write the proportion as **(60/100) = (1500/x)**? - Did you use cross-multiplication or division to solve for **x**? πŸ”Ή **If you need a hint:** 1️⃣ "Write 60% as a fraction: **60/100 = 1500/x**." 2️⃣ "Use cross-multiplication: **60x = 1500 Γ— 100**." 3️⃣ "Solve for **x** to find the total investment." πŸ’‘ **Go ahead and solve it! Then, let me know your answer.** """ elif step == 8: return """πŸ“Œ **Common Core & Creativity-Directed Practices Discussion** "Great job solving the problem using different methods! Now, let's reflect: 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 == 9: return """πŸ“Œ **Creativity-Directed Practices Discussion** "Throughout this module, 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 == 10: return """πŸ“Œ **Problem Posing Activity** "Now, let’s take it one step further! Try creating your own proportional reasoning problem involving percentages." πŸ’‘ **Some guiding questions:** - "What real-world context will you use? (e.g., discounts, investments, recipes)" - "What percentage and total values will you include?" - "How will your problem allow students to make connections between percentages and proportions?" Once you've created your problem, share it, and I’ll provide feedback! """ return "πŸŽ‰ **You've completed the module! Would you like to review anything again?**"