| MAIN_PROMPT = """ | |
| ### **Module 4: Proportional Thinking with Percentages** | |
| "Welcome to this module on proportional reasoning with percentages! | |
| Today, we will explore solving problems with percentages using different representations: | |
| 1️⃣ **Bar Model** | |
| 2️⃣ **Double Number Line** | |
| 3️⃣ **Equation-Based Approach** | |
| Your goal is to **apply these methods, explain your thinking, and reflect on their usefulness.** | |
| 💡 **I will guide you step by step.** | |
| 💡 **You will first explain your own reasoning before receiving hints or feedback.** | |
| 💡 **If you need help, I will provide step-by-step support.** | |
| 🚀 **Let’s begin! Which method would you like to use first?** | |
| (Type 'Bar Model,' 'Double Number Line,' or 'Equation') | |
| """ | |
| BAR_MODEL_PROMPT = """ | |
| ### **🚀 Bar Model Approach** | |
| "Great choice! Let's solve this problem using a **bar model**. | |
| 🔹 **How would you set up a bar model to represent this problem?** | |
| 💡 **Try explaining your approach before I provide any hints.** | |
| - What does the full bar represent? | |
| - How would you divide the bar to show 60%? | |
| - How can you use this to find the total investment? | |
| ✏️ **Type your explanation before I provide feedback!** | |
| """ | |
| BAR_MODEL_FEEDBACK_PROMPT = """ | |
| ✅ **Great! You set up the bar model as follows:** | |
| - You represented the total investment as a bar. | |
| - You divided the bar into equal parts to show 60% as Orrin's share. | |
| - Now, let’s check the calculations! | |
| 🔹 **What value does 10% of the total represent?** | |
| ✏️ **Try calculating and explaining before I give hints!** | |
| """ | |
| BAR_MODEL_HINT_PROMPT = """ | |
| 🔹 **Hint:** Since Orrin's $1,500 represents 60%, divide it by 6 to find 10% of the total investment. | |
| ✏️ **What do you get?** | |
| """ | |
| BAR_MODEL_SOLUTION_PROMPT = """ | |
| ✅ **Here’s how we solve it using a bar model:** | |
| - The total investment is represented as a full bar (100%). | |
| - Since Orrin’s $1,500 represents 60%, we divide the bar into 10 equal parts. | |
| - 60% means 6 parts represent $1,500. | |
| - **Value of 10% =** $1,500 ÷ 6 = $250. | |
| - **Total investment =** $250 × 10 = **$2,500.** | |
| 💡 **Would you like to reflect on why the bar model was useful, or try another method?** | |
| (Type ‘Double Number Line’ or ‘Equation’ to proceed.) | |
| """ | |
| DOUBLE_NUMBER_LINE_PROMPT = """ | |
| ### **🚀 Double Number Line Approach** | |
| "Great choice! Let's solve this problem using a **double number line**. | |
| 🔹 **How would you set up the number line to represent this problem?** | |
| 💡 **Try explaining your approach before I provide any hints.** | |
| - What would the two number lines represent? | |
| - What key values should be placed on the number line? | |
| - How can you use the 60% value to determine the total? | |
| ✏️ **Type your explanation before I provide feedback!** | |
| """ | |
| DOUBLE_NUMBER_LINE_FEEDBACK_PROMPT = """ | |
| ✅ **Great! You set up the double number line as follows:** | |
| - One number line represents percentages (0% to 100%). | |
| - The second number line represents dollar values. | |
| - You placed 60% at $1,500. | |
| 🔹 **What value does 10% represent on the number line?** | |
| ✏️ **Try calculating before I give hints!** | |
| """ | |
| DOUBLE_NUMBER_LINE_HINT_PROMPT = """ | |
| 🔹 **Hint:** Divide $1,500 by 6 to find 10%. | |
| ✏️ **What do you get?** | |
| """ | |
| DOUBLE_NUMBER_LINE_SOLUTION_PROMPT = """ | |
| ✅ **Here’s how we solve it using a double number line:** | |
| - One number line represents percentages (0% to 100%). | |
| - The second number line represents dollar values. | |
| - 60% corresponds to $1,500. | |
| - **10% =** $1,500 ÷ 6 = $250. | |
| - **100% =** $250 × 10 = **$2,500.** | |
| 💡 **Would you like to reflect on why the double number line was useful, or try another method?** | |
| (Type ‘Bar Model’ or ‘Equation’ to proceed.) | |
| """ | |
| EQUATION_PROMPT = """ | |
| ### **🚀 Equation-Based Approach** | |
| "Great choice! Let's solve this problem using an **equation**. | |
| 🔹 **How would you write an equation to represent this problem?** | |
| 💡 **Try explaining your approach before I provide any hints.** | |
| - How can you express 60% in fraction or decimal form? | |
| - What variable would represent the total investment? | |
| - What equation would you set up to solve for the total? | |
| ✏️ **Type your explanation before I provide feedback!** | |
| """ | |
| EQUATION_FEEDBACK_PROMPT = """ | |
| ✅ **Great! You wrote the equation as follows:** | |
| - You set up the proportional relationship between 60% and $1,500. | |
| - You identified the total investment as **x**. | |
| 🔹 **What happens when you solve for x?** | |
| ✏️ **Try solving before I provide hints!** | |
| """ | |
| EQUATION_HINT_PROMPT = """ | |
| 🔹 **Hint:** Set up the equation: | |
| \[ | |
| \frac{60}{100} = \frac{1500}{x} | |
| \] | |
| ✏️ **Can you solve for x?** | |
| """ | |
| EQUATION_SOLUTION_PROMPT = """ | |
| ✅ **Here’s how we solve it using an equation:** | |
| \[ | |
| \frac{60}{100} = \frac{1500}{x} | |
| \] | |
| - Cross multiply: | |
| \[ | |
| 60x = 1500 \times 100 | |
| \] | |
| - Solve for **x**: | |
| \[ | |
| x = \frac{1500 \times 100}{60} = 2500 | |
| \] | |
| 💡 **Would you like to reflect on why the equation method was useful, or try another method?** | |
| (Type ‘Bar Model’ or ‘Double Number Line’ to proceed.) | |
| """ | |
| REFLECTION_PROMPT = """ | |
| "Great job! Now, let's reflect on the strategies we used. | |
| - Which method did you find most helpful, and why? | |
| - How does this connect to real-world proportional reasoning? | |
| - How would you explain this to a student? | |
| ✏️ **Share your thoughts before we conclude!** | |
| """ | |