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