Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -1,156 +1,142 @@
 MAIN_PROMPT = """
 ### **Module 4: Proportional Thinking with Percentages**  
+#### **Task Introduction**  
+"Welcome to this module on proportional reasoning with percentages!  
+Your task is to solve a proportional reasoning problem using different representations and explain your reasoning.  
+We will explore three different methods:  
+1️⃣ **Bar Model**  
+2️⃣ **Double Number Line**  
+3️⃣ **Equation & Proportional Relationship**  
+💡 **You'll choose a method, apply it first, and explain your reasoning. Then, I will provide feedback and guidance if needed.**  
+🚀 **Let’s begin! Which method would you like to use first: Bar Model, Double Number Line, or Equation?"**  
+"""
+BAR_MODEL_PROMPT = """
+### **🚀 Bar Model Approach**
+"Great choice! Let's use a **Bar Model** to solve the problem.  
 
-🚀 **Welcome to this module on proportional reasoning with percentages!**  
-Your task is to solve a proportional reasoning problem using different mathematical representations.  
+💡 **Try setting up the problem using a bar model and explain your reasoning.**  
+- How would you represent the total investment?  
+- How can you divide the bar to show Orrin’s 60% share?  
+- How will you calculate the total investment?"  
 
-### **📌 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?**  
+🔹 **After teachers provide their response:**  
+If Correct:  
+"Great work! Your setup makes sense. Can you now find the total investment using your model?"  
 
-### **📌 Choose a Method to Solve the Problem**
-🔹 **Bar Model**  
-🔹 **Double Number Line**  
-🔹 **Equation**  
+If Partially Correct:  
+"You're on the right track! How did you decide on the division? Do you think each part is equal? What percentage does each part represent?"  
 
-💡 **Which method would you like to use first?**  
-(*Try solving and explaining your reasoning before AI provides hints!*)  
-"""
+If Incorrect:  
+"Let’s think about this: If 60% of the total equals $1,500, how could we break this into smaller parts?"  
 
-BAR_MODEL_PROMPT = """
-### 🚀 **Solving with a Bar Model**
-Great choice! A bar model is a useful way to represent proportional relationships visually.  
+💡 **Hint if needed:**  
+- "Try dividing the bar into 10 equal parts, each representing 10%. How much would each part be worth?"  
+- "Once you have 10%, how can you find 100%?"  
 
-🔹 **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?  
+✅ **Final Confirmation:**  
+If the teacher needs more help, AI provides the final solution:  
+"Since 6 parts = $1,500, each part (10%) is $250. So, multiplying by 10 gives us $2,500."  
 
-🔹 **Explain your reasoning first! If needed, I will guide you.**  
+📌 **Reflection Question:**  
+"How did the bar model help you visualize the proportional relationship? Would you like to try another method?"  
 """
+DOUBLE_NUMBER_LINE_PROMPT = """
+### **🚀 Double Number Line Approach**
+"Let’s explore the problem using a **Double Number Line**.  
 
-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!**  
-"""
+💡 **Try setting up a double number line to represent the relationship and explain your reasoning.**  
+- How would you label the number line for percentages?  
+- Where would you place Orrin’s $1,500 investment?  
+- How would you determine the total investment?"  
 
-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?**  
-"""
+🔹 **After teachers provide their response:**  
+If Correct:  
+"Nice work! Your number line setup looks great. Can you now use it to find the total investment?"  
 
-DOUBLE_NUMBER_LINE_PROMPT = """
-### 🚀 **Solving with a Double Number Line**
-Great choice! A double number line is another way to visualize proportional relationships.  
+If Partially Correct:  
+"You're close! How did you choose the spacing for percentages and dollar amounts? Could they be more evenly distributed?"  
 
-🔹 **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?  
+If Incorrect:  
+"Let’s think about this: What percentage does $1,500 represent, and how can we use that to find 100%?"  
 
-🔹 **Explain your reasoning first! If needed, I will guide you.**  
-"""
+💡 **Hint if needed:**  
+- "Start by marking 0%, 60%, and 100% on the number line. Where would 10%, 20%, etc., fit?"  
+- "Since 60% = $1,500, divide it by 6 to find 10%, then scale up to 100%."  
 
-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%**?  
+✅ **Final Confirmation:**  
+If needed, AI provides the correct answer:  
+"Since $1,500 represents 60%, we divide by 6 to find 10% ($250) and multiply by 10 to get $2,500."  
 
-🔹 **If you need more guidance, I can walk you through the process step by step. Let me know!**  
+📌 **Reflection Question:**  
+"How does the number line compare to the bar model? Would you like to try the equation method next?"  
 """
-
-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 & Proportional Relationship**
+"Let’s use an **Equation** to solve the problem.  
+
+💡 **Try setting up a proportion or equation to find the total investment and explain your reasoning.**  
+- How would you express 60% as a fraction or decimal?  
+- How can we set up an equation to relate $1,500 to the total investment?"  
+
+🔹 **After teachers provide their response:**  
+If Correct:  
+"Good job! Can you now solve the equation to find the total investment?"  
+
+If Partially Correct:  
+"You're close! Can you clarify how you set up the proportion? What does your variable represent?"  
+
+If Incorrect:  
+"Let’s reconsider: Since 60% of the total equals $1,500, what equation could represent this?"  
+
+💡 **Hint if needed:**  
+- "Write the proportion as:  
+  $$ \\frac{60}{100} = \\frac{1500}{x} $$  
+  Can you solve for x?"  
+- "Use cross-multiplication:  
+  $$ 60x = 1500 \times 100 $$  
+  What does x equal?"  
+
+✅ **Final Confirmation:**  
+If needed, AI provides the correct equation and solution:  
+"Solving  
+$$ x = \\frac{1500}{0.6} = 2500 $$  
+So, the total investment is $2,500."  
+
+📌 **Reflection Question:**  
+"How does using an equation compare to visual models? Which method would you use with students?"  
 """
+COMMON_CORE_PROMPT = """
+### **📌 Common Core & Creativity-Directed Practices**
+"Great job! Now, let’s reflect on how these problem-solving approaches align with key teaching practices."  
 
-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?  
+🔹 **Which Common Core Standards did we cover?**  
+- **CCSS.MATH.CONTENT.6.RP.A.3** (Solving real-world proportional reasoning problems)  
+- **CCSS.MATH.CONTENT.7.RP.A.2** (Recognizing proportional relationships)  
+- **CCSS.MATH.PRACTICE.MP1** (Making sense of problems & persevering)  
+- **CCSS.MATH.PRACTICE.MP4** (Modeling with mathematics)  
 
-🔹 **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?**  
-"""
+💡 **Which of these standards do you think applied most to the problems we solved? Why?**  
 
-REFLECTION_PROMPT = """
-### 🚀 **Final Reflection & Discussion**
-Great job! Let’s take a moment to reflect on the strategies used.  
+🔹 **Creativity-Directed Practices Used:**  
+- Encouraging multiple solution methods  
+- Using real-world scenarios  
+- Engaging in exploratory thinking rather than rote computation  
 
-🔹 **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?**  
+💡 **How do these strategies help students develop deeper understanding?**  
+"""
+PROBLEM_POSING_PROMPT = """
+### **🚀 Problem Posing Activity**
+"Now, let’s take it one step further! Try creating your own proportional reasoning problem involving percentages."  
 
-### **📌 Problem Posing Activity**
-Now, try creating your own problem involving percentages and proportional reasoning.  
+💡 **Guiding Questions:**  
+- "What real-world context will you use (e.g., discounts, investments, recipes)?"  
+- "What percentage and total values will you include?"  
+- "How will your problem encourage students to use different representations?"  
 
-🔹 **What real-world context will you use (e.g., discounts, savings, recipes)?**  
-🔹 **How will your problem allow students to use different representations?**  
+🔹 **After teachers create a problem:**  
+If Feasible:  
+"Great problem! It supports proportional reasoning with percentages. How would you solve it using different methods?"  
 
-Post your problem, and I’ll give you feedback! 🚀  
+If Not Feasible:  
+"Your problem is interesting, but it may not fully align with proportional reasoning. How might you adjust it?"  
 """