MAIN_PROMPT = """ ### **Module 4: Proportional Thinking with Percentages** "Welcome to this module on proportional reasoning with percentages! In this module, you will explore different representations of proportional thinking: 1️⃣ **Bar Models** 2️⃣ **Double Number Lines** 3️⃣ **Equations & Proportional Relationships** 💡 **You will solve the given problem using different strategies and explain your reasoning.** 💡 **The AI will guide you through hints if needed—try solving before asking for help!** 🚀 **Let’s begin!** """ def next_step(step): if step == 1: return """🚀 **Step 1: Solve Using a Bar Model** "Orrin invests **$1,500**, which is **60%** of their total investment. How can you use a bar model to solve this problem?" 💡 **Think before answering:** - "How can we represent the **total investment** as a bar?" - "If 60% is **$1,500**, how many sections should the bar have?" 🔹 **Try setting it up before I provide hints!** """ elif step == 2: return """🔹 **Hint 1:** "Start by drawing a rectangle to represent the **total investment**. - Divide it into **10 equal sections** (since each section represents **10%** of the total). - Since **60% corresponds to $1,500**, shade in **6 parts** of the bar. Now, can you determine how much **1 part** represents?" """ elif step == 3: return """🔹 **Hint 2:** "If 6 parts correspond to **$1,500**, find the value of **one part** by dividing: \\[ \\text{Value of 1 part} = \\frac{1500}{6} \\] What do you get?" """ elif step == 4: return """🔹 **Hint 3:** "Now that we know the value of **one part**, we can find the total investment by multiplying by 10: \\[ \\text{Total Investment} = \\text{Value of 1 part} \\times 10 \\] Can you calculate and explain your answer?" """ elif step == 5: return """✅ **Solution:** "We found that **1 part = $250**. Now, multiplying by **10**: \\[ \\text{Total Investment} = 250 \\times 10 = 2500 \\] So, the total investment by Orrin and Damen together is **$2,500.**" 💡 **Reflection:** - "How does this visual help in understanding the problem?" - "Would this be useful for students struggling with percentages?" 🚀 "Now, let's solve this problem using a **double number line!**" """ elif step == 6: return """🚀 **Step 2: Solve Using a Double Number Line** "A double number line is another great way to visualize this problem. How would you set up a **double number line** to solve this?" 💡 **Think before answering:** - "What labels would you use for the two number lines?" - "How can you align percentages with dollar values?" 🔹 **Try setting it up before I provide hints!** """ elif step == 7: return """🔹 **Hint 1:** "Start by labeling the two number lines: - The **top line** represents **percentages** (0%, 10%, 20%, …, 100%). - The **bottom line** represents **dollars** ($0, $?, $?, …, Total Investment). - Since **60% = $1,500**, mark this point on both lines. Can you determine what **10%** would be?" """ elif step == 8: return """🔹 **Hint 2:** "To find **10%**, divide **$1,500 by 6**: \\[ \\text{10% Value} = \\frac{1500}{6} = 250 \\] Now, use this to determine **100%**!" """ elif step == 9: return """✅ **Solution:** "Now that we know **10% = $250**, we can multiply by 10: \\[ \\text{Total Investment} = 250 \\times 10 = 2500 \\] So, the total investment by Orrin and Damen together is **$2,500.**" 💡 **Reflection:** - "How does the double number line help in understanding the proportional relationship?" 🚀 "Now, let's solve this using **an equation!**" """ elif step == 10: return """🚀 **Step 3: Solve Using an Equation** "An equation allows us to solve proportions algebraically. How can you set up an equation for this problem?" 💡 **Think before answering:** - "How can we represent 60% in fractional form?" - "How can we write a proportion to find the total investment?" 🔹 **Try setting it up before I provide hints!** """ elif step == 11: return """🔹 **Hint 1:** "Write the proportion as: \\[ \\frac{60}{100} = \\frac{1500}{x} \\] Now, can you **cross-multiply** and solve for **x**?" """ elif step == 12: return """✅ **Solution:** "Using cross-multiplication: \\[ 60x = 1500 \\times 100 \\] \\[ x = \\frac{1500 \\times 100}{60} = 2500 \\] So, the total investment by Orrin and Damen together is **$2,500.**" 💡 **Reflection:** - "How does solving with an equation compare to visual methods?" 🚀 "Now, let's reflect on teaching strategies!" """ elif step == 13: return """📌 **Common Core & Creativity-Directed Practices Discussion** "Great job! Now, let’s reflect on how these problems connect to teaching strategies." 🔹 **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) 💡 **Which of these standards do you think applied most to the problems we solved? Why?** """ elif step == 14: return """📌 **Creativity-Directed Practices Discussion** "Throughout these problems, we engaged in creativity-directed strategies, such as: ✅ Encouraging multiple solution methods ✅ Using real-world contexts ✅ Thinking critically about proportional relationships 💡 **Which of these strategies did you use while solving the problems?** 💡 **How do you think encouraging creativity helps students develop deeper understanding?** """ elif step == 15: return """📌 **Problem-Posing Activity** "Now, 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?**"