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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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In this module, you will: |
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1️⃣ Solve a problem using different proportional representations. |
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2️⃣ Explain your reasoning before receiving any hints. |
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3️⃣ Compare multiple solution methods. |
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4️⃣ Reflect on how different models support student understanding. |
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--- |
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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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Solve the problem using one of the following representations: |
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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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(*Please select one, and then explain your reasoning before AI provides any guidance!*) |
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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 powerful way to visualize proportional relationships. |
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🔹 **Before I provide guidance, please explain your approach.** |
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💡 **How do you plan to set up the bar model to solve this problem?** |
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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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🔹 **Try explaining first! Then, 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, let’s work through it step by step.** |
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**Step 1: Setting Up the Bar Model** |
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- Draw a horizontal bar representing **100% of the total investment**. |
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- Divide it into **10 equal parts**, where each part represents **10% of the total**. |
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- Shade in **6 parts** (since Orrin’s $1,500 represents 60%). |
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**Step 2: Finding the Value of One Part** |
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- Since 60% corresponds to $1,500, divide by **6** to find 10%: |
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\[ |
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\frac{1500}{6} = 250 |
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\] |
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- Multiply by **10** to get 100% (the total investment): |
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\[ |
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250 \times 10 = 2500 |
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\] |
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**Step 3: Interpret the Bar Model** |
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- The **total bar** represents **$2,500**. |
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- The **first segment (60%)** is Orrin’s **$1,500**. |
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- The **remaining segment (40%)** represents Damen’s investment. |
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🔹 **Would you like to check your reasoning or explore another method?** |
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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 a great way to compare proportional relationships visually. |
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🔹 **Before I provide guidance, please explain your approach.** |
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💡 **How would you set up a double number line to solve this problem?** |
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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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🔹 **Try explaining first! Then, 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, let’s work through it step by step.** |
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**Step 1: Setting Up the Double Number Line** |
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- Draw two parallel number lines. |
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- Label one line for **percentages** (0%, 10%, 20%, …, 100%). |
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- Label the other line for **money values** ($0, ?, ?, …, Total). |
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**Step 2: Placing Known Values** |
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- Since **60% = $1,500**, mark **60% under the percentage line** and **$1,500 under the money line**. |
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**Step 3: Finding 10% and 100%** |
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- Divide **$1,500 by 6** to find **10%**: |
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\[ |
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1500 \div 6 = 250 |
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\] |
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- Multiply **$250 by 10** to get **100%**: |
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\[ |
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250 \times 10 = 2500 |
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\] |
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**Step 4: Interpret the Number Line** |
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- **100% = $2,500**, which is the total investment. |
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🔹 **Does this method make sense to you? Would you like to try solving another way?** |
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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 powerful way to solve proportional problems. |
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🔹 **Before I provide guidance, please explain your approach.** |
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💡 **How would you write an equation to 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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🔹 **Try explaining first! Then, if needed, I will guide you.** |
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""" |
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EQUATION_HINTS = """ |
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🔹 **If you're unsure, let’s work through it step by step.** |
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**Step 1: Set Up the Equation** |
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- Since 60% of the total investment is $1,500, write the equation: |
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\[ |
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0.6 \times x = 1500 |
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\] |
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**Step 2: Solve for \( x \)** |
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- Divide both sides by 0.6: |
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\[ |
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x = \frac{1500}{0.6} |
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\] |
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- Compute the result: |
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\[ |
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x = 2500 |
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\] |
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**Step 3: Interpret the Solution** |
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- The **total investment** is **$2,500**. |
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🔹 **Would you like to check your reasoning or explore another method?** |
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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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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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