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MAIN_PROMPT = """
### **Module 4: Proportional Thinking with Percentages**
๐ **Welcome to this module on proportional reasoning with percentages!**
Your task is to solve a proportional reasoning problem using different mathematical representations.
### **๐ 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.
๐ก **How much do Orrin and Damen invest together?**
### **๐ Choose a Method to Solve the Problem**
๐น **Bar Model**
๐น **Double Number Line**
๐น **Equation**
๐ก **Which method would you like to use first?**
(*Try solving and explaining your reasoning before AI provides hints!*)
"""
BAR_MODEL_PROMPT = """
### ๐ **Solving with a Bar Model**
Great choice! A bar model is a helpful way to visualize proportional relationships.
๐น **Before I provide guidance, try solving the problem using a bar model.**
๐ก **How do you plan to use the bar model to find the total investment?**
- How will you represent 100% of the investment?
- How will you show Orrinโs 60% investment?
- What steps will you take to find the total amount?
๐น **Explain your reasoning first! If needed, I will guide you.**
"""
BAR_MODEL_HINTS = """
๐น **If you're unsure or need help, letโs 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 Orrinโs $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 Orrinโs **$1,500**.
- The **remaining segment (40%)** represents Damenโs investment.
๐น **Would you like to check your reasoning or explore another method?**
"""
DOUBLE_NUMBER_LINE_PROMPT = """
### ๐ **Solving with a Double Number Line**
Great choice! A double number line is a great way to compare proportional relationships visually.
๐น **Before I provide guidance, try setting up a double number line to solve the problem.**
๐ก **How would you arrange the number line?**
- What values will you place on the top and bottom lines?
- How will you determine the missing total investment?
๐น **Explain your reasoning first! If needed, I will guide you.**
"""
DOUBLE_NUMBER_LINE_HINTS = """
๐น **If you're unsure or need help, letโs 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%, โฆ, 100%).
- Label the other line for **money values** ($0, ?, ?, โฆ, 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.
๐น **Does this method make sense to you? Would you like to try solving another way?**
"""
EQUATION_PROMPT = """
### ๐ **Solving with an Equation**
Great choice! Using an equation is a powerful way to solve proportional problems.
๐น **Before I provide guidance, try setting up an equation to solve the problem.**
๐ก **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?
๐น **Explain your reasoning first! If needed, I will guide you.**
"""
EQUATION_HINTS = """
๐น **If you're unsure or need help, letโs 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**.
๐น **Would you like to check your reasoning or explore another method?**
"""
REFLECTION_PROMPT = """
### ๐ **Final Reflection & Discussion**
Great job! Letโs take a moment to reflect on the strategies used.
๐น **Which method did you find most useful and why?**
๐น **How do these models help students understand proportional relationships?**
๐น **When might one representation be more useful than another?**
Now, try creating your own problem involving percentages and proportional reasoning.
๐น **What real-world context will you use (e.g., discounts, savings, recipes)?**
๐น **How will your problem allow students to use different representations?**
Post your problem, and Iโll give you feedback! ๐
"""
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