MAIN_PROMPT = """ ### **Module 4: Proportional Thinking with Percentages** 🚀 **Welcome to this module on proportional reasoning with percentages!** Your task is to solve a proportional reasoning problem using different mathematical representations. ### **📌 Problem Statement** "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?** ### **📌 Choose a Method to Solve the Problem** 🔹 **Bar Model** 🔹 **Double Number Line** 🔹 **Equation** 💡 **Which method would you like to use first?** (*Try solving and explaining your reasoning before AI provides hints!*) """ BAR_MODEL_PROMPT = """ ### 🚀 **Solving with a Bar Model** Great choice! A bar model is a useful way to represent proportional relationships visually. 🔹 **Before I provide guidance, try solving the problem using a bar model.** 💡 **How do you plan to approach it?** - How will you represent the total investment? - How will you show Orrin’s 60% investment? - What steps will you take to find the total amount? 🔹 **Explain your reasoning first! If needed, I will guide you.** """ BAR_MODEL_HINTS = """ 🔹 **If you’re unsure, here are some questions to guide your thinking:** 1️⃣ How many total parts will your bar be divided into? 2️⃣ If 60% of the bar equals $1,500, how can you use that to find 100%? 3️⃣ What mathematical operations will help you determine the total? 🔹 **If you need more help, I can walk you through it step by step. Let me know!** """ BAR_MODEL_SOLUTION = """ 🔹 **Let’s go through the process together.** 1️⃣ Divide the bar into **10 equal parts** (since 100% is split into 10×10%). 2️⃣ Shade in **6 parts** to represent Orrin’s **60% investment** of **$1,500**. 3️⃣ Find the value of **1 part** (10%) by dividing: \[ 1500 \div 6 = 250 \] 4️⃣ Multiply to find 100%: \[ 250 \times 10 = 2500 \] 5️⃣ **Total Investment = $2,500** 💡 **Does this method make sense to you? Would you like to check your reasoning or explore another approach?** """ DOUBLE_NUMBER_LINE_PROMPT = """ ### 🚀 **Solving with a Double Number Line** Great choice! A double number line is another way to visualize proportional relationships. 🔹 **Before I provide guidance, try setting up a double number line.** 💡 **How will you set it up?** - What values will you place on the top and bottom lines? - How will you determine the missing total investment? 🔹 **Explain your reasoning first! If needed, I will guide you.** """ DOUBLE_NUMBER_LINE_HINTS = """ 🔹 **If you're unsure, consider these questions:** 1️⃣ How can you represent **percentages** on the number line? 2️⃣ Where will you place **60%** and **$1,500**? 3️⃣ How can you use that information to determine **100%**? 🔹 **If you need more guidance, I can walk you through the process step by step. Let me know!** """ DOUBLE_NUMBER_LINE_SOLUTION = """ 🔹 **Let’s go through the solution together.** 1️⃣ Draw **two parallel number lines**—one for **percentages** (0%, 10%, 20%, …, 100%) and one for **dollars** ($0, ?, ?, …, Total). 2️⃣ Place **60% under percentages** and **$1,500 under dollars**. 3️⃣ Find the value of **10%** by dividing: \[ 1500 \div 6 = 250 \] 4️⃣ Multiply by **10** to find 100%: \[ 250 \times 10 = 2500 \] 5️⃣ **Total Investment = $2,500** 💡 **Does this solution make sense? Would you like to check your reasoning or try another method?** """ EQUATION_PROMPT = """ ### 🚀 **Solving with an Equation** Great choice! Using an equation is a great way to set up proportional reasoning problems. 🔹 **Before I provide guidance, try setting up an equation to solve the problem.** 💡 **How would you represent the relationship between 60% and $1,500?** - What variable will you use for the total investment? - How will you set up the proportion? 🔹 **Explain your reasoning first! If needed, I will guide you.** """ EQUATION_HINTS = """ 🔹 **If you’re unsure, here are some guiding questions:** 1️⃣ How can you express **60%** as a decimal or fraction? 2️⃣ How do you relate **60% and $1,500** using an equation? 3️⃣ What mathematical operations will help you solve for the total? 🔹 **If you need further help, I can break it down step by step. Let me know!** """ EQUATION_SOLUTION = """ 🔹 **Let’s work through the solution together.** 1️⃣ Write the equation: \[ 0.6 \times x = 1500 \] 2️⃣ Solve for **x** by dividing both sides by **0.6**: \[ x = 1500 \div 0.6 \] 3️⃣ Compute the total investment: \[ x = 2500 \] 4️⃣ **Total Investment = $2,500** 💡 **Would you like to discuss this further or explore another approach?** """ REFLECTION_PROMPT = """ ### 🚀 **Final Reflection & Discussion** Great job! Let’s take a moment to reflect on the strategies used. 🔹 **Which method did you find most useful and why?** 🔹 **How do these models help students understand proportional relationships?** 🔹 **When might one representation be more useful than another?** ### **📌 Problem Posing Activity** Now, try creating your own problem involving percentages and proportional reasoning. 🔹 **What real-world context will you use (e.g., discounts, savings, recipes)?** 🔹 **How will your problem allow students to use different representations?** Post your problem, and I’ll give you feedback! 🚀 """