MAIN_PROMPT = """ ### **Module 4: Proportional Thinking with Percentages** ๐Ÿš€ **Welcome to this module on proportional reasoning with percentages!** In this module, you will: 1๏ธโƒฃ Solve a problem using different proportional representations. 2๏ธโƒฃ Explain your reasoning before receiving any hints. 3๏ธโƒฃ Compare multiple solution methods. 4๏ธโƒฃ Reflect on how different models support student understanding. --- ### **๐Ÿ“Œ 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. ๐Ÿ’ก **How much do Orrin and Damen invest together?** Solve the problem using one of the following representations: ๐Ÿ”น **Bar Model** ๐Ÿ”น **Double Number Line** ๐Ÿ”น **Equation** ๐Ÿ’ก **Which method would you like to use first?** (*Please select one, and then explain your reasoning before AI provides any guidance!*) """ BAR_MODEL_PROMPT = """ ### ๐Ÿš€ **Solving with a Bar Model** Great choice! A bar model is a powerful way to visualize proportional relationships. ๐Ÿ”น **Before I provide guidance, please explain your approach.** ๐Ÿ’ก **How do you plan to set up the bar model to solve this problem?** - How will you represent the total investment? - How will you show Orrinโ€™s 60% investment? - What steps will you take to find the total amount? ๐Ÿ”น **Try explaining first! Then, if needed, I will guide you.** """ BAR_MODEL_HINTS = """ ๐Ÿ”น **If you're unsure, letโ€™s work through it step by step.** **Step 1: Setting Up the Bar Model** - Draw a horizontal bar representing **100% of the total investment**. - Divide it into **10 equal parts**, where each part represents **10% of the total**. - Shade in **6 parts** (since Orrinโ€™s $1,500 represents 60%). **Step 2: Finding the Value of One Part** - Since 60% corresponds to $1,500, divide by **6** to find 10%: \[ \frac{1500}{6} = 250 \] - Multiply by **10** to get 100% (the total investment): \[ 250 \times 10 = 2500 \] **Step 3: Interpret the Bar Model** - The **total bar** represents **$2,500**. - The **first segment (60%)** is Orrinโ€™s **$1,500**. - The **remaining segment (40%)** represents Damenโ€™s investment. ๐Ÿ”น **Would you like to check your reasoning or explore another method?** """ DOUBLE_NUMBER_LINE_PROMPT = """ ### ๐Ÿš€ **Solving with a Double Number Line** Great choice! A double number line is a great way to compare proportional relationships visually. ๐Ÿ”น **Before I provide guidance, please explain your approach.** ๐Ÿ’ก **How would you set up a double number line to solve this problem?** - What values will you place on the top and bottom lines? - How will you determine the missing total investment? ๐Ÿ”น **Try explaining first! Then, if needed, I will guide you.** """ DOUBLE_NUMBER_LINE_HINTS = """ ๐Ÿ”น **If you're unsure, letโ€™s work through it step by step.** **Step 1: Setting Up the Double Number Line** - Draw two parallel number lines. - Label one line for **percentages** (0%, 10%, 20%, โ€ฆ, 100%). - Label the other line for **money values** ($0, ?, ?, โ€ฆ, Total). **Step 2: Placing Known Values** - Since **60% = $1,500**, mark **60% under the percentage line** and **$1,500 under the money line**. **Step 3: Finding 10% and 100%** - Divide **$1,500 by 6** to find **10%**: \[ 1500 \div 6 = 250 \] - Multiply **$250 by 10** to get **100%**: \[ 250 \times 10 = 2500 \] **Step 4: Interpret the Number Line** - **100% = $2,500**, which is the total investment. ๐Ÿ”น **Does this method make sense to you? Would you like to try solving another way?** """ EQUATION_PROMPT = """ ### ๐Ÿš€ **Solving with an Equation** Great choice! Using an equation is a powerful way to solve proportional problems. ๐Ÿ”น **Before I provide guidance, please explain your approach.** ๐Ÿ’ก **How would you write an equation to represent the relationship between 60% and $1,500?** - What variable will you use for the total investment? - How will you set up the proportion? ๐Ÿ”น **Try explaining first! Then, if needed, I will guide you.** """ EQUATION_HINTS = """ ๐Ÿ”น **If you're unsure, letโ€™s work through it step by step.** **Step 1: Set Up the Equation** - Since 60% of the total investment is $1,500, write the equation: \[ 0.6 \times x = 1500 \] **Step 2: Solve for \( x \)** - Divide both sides by 0.6: \[ x = \frac{1500}{0.6} \] - Compute the result: \[ x = 2500 \] **Step 3: Interpret the Solution** - The **total investment** is **$2,500**. ๐Ÿ”น **Would you like to check your reasoning or explore another method?** """ REFLECTION_PROMPT = """ ### ๐Ÿš€ **Final Reflection & Discussion** Great job! Letโ€™s take a moment to reflect on the strategies used. ๐Ÿ”น **Which method did you find most useful and why?** ๐Ÿ”น **How do these models help students understand proportional relationships?** ๐Ÿ”น **When might one representation be more useful than another?** Now, try creating your own problem involving percentages and proportional reasoning. ๐Ÿ”น **What real-world context will you use (e.g., discounts, savings, recipes)?** ๐Ÿ”น **How will your problem allow students to use different representations?** Post your problem, and Iโ€™ll give you feedback! ๐Ÿš€ """