Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -1,36 +1,27 @@
 MAIN_PROMPT = """
 ### **Module 4: Proportional Thinking with Percentages**  
-#### **Task Introduction**  
-"Welcome to this module on **proportional reasoning with percentages!**  
-Today, we will explore how to use **bar models, double number lines, and equations** to solve percentage problems.  
-
-💡 **Your task is to solve the following problem using different representations.**  
-💡 **I will prompt you to think critically before offering hints.**  
-💡 **You will explain your reasoning step by step.**  
-🚀 **Let’s begin!**"  
-
----
-### **🚀 Solve the Following Problem**  
-📌 **Problem:**  
-"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?"  
-
-💡 **Before choosing a strategy, think about:**  
-- "What does **60% of the total investment** mean in this situation?"  
-- "What strategies might help visualize or solve this problem?"  
-
-🔹 **Try solving it first. Let me know your initial thoughts!**  
----
-"""
+"Welcome to this module on proportional reasoning with percentages!  
+
+Today, we will explore a **real-world investment scenario** and solve it using three different representations:  
+1️⃣ **Bar Model**  
+2️⃣ **Double Number Line**  
+3️⃣ **Equation & Proportional Relationship**  
+
+💡 **Your Task:** Solve the following problem using each representation.  
+
+📌 **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?**  
 
-# ✅ **STEP 1: BAR MODEL REPRESENTATION**
+✏️ **Try to solve this problem using your preferred method first. Then, we will compare different representations step by step!**  
+"""
 def bar_model_step(step):
     if step == 1:
         return """🚀 **Step 1: Solve Using a Bar Model**  
 "A bar model is a great way to visualize proportions. How would you set it up for this problem?"  
 
-💡 **Before I give hints, think about:**  
+💡 **Think before answering:**  
 - "How can we represent the **total investment** as a bar?"  
 - "If 60% is **$1,500**, how many sections should the bar have?"  
 
@@ -38,127 +29,131 @@ def bar_model_step(step):
 """
     elif step == 2:
         return """🔹 **Hint 1:**  
-"Start by dividing the bar into **10 equal sections**, where each represents **10%** of the total.  
-Since 60% is **$1,500**, how much does **each 10% section** represent?"  
+"Start by drawing a rectangle to represent the **total investment**.  
+- Divide it into **10 equal sections** (since each section will represent **10%**).  
+- Since 60% is **$1,500**, shade in **6 parts** of the bar.  
+
+Now, can you determine how much **1 part** represents?"  
 """
     elif step == 3:
         return """🔹 **Hint 2:**  
-"Divide **$1,500 by 6** to find **10%** of the total investment.  
-Then, multiply by **10** to find **100%**."  
+"If 6 parts correspond to **$1,500**, find the value of **one part** by dividing:  
+  \\[
+  \\text{Value of 1 part} = \\frac{1500}{6}
+  \\]  
+What do you get?"  
 """
     elif step == 4:
         return """✅ **Solution:**  
-"$1,500 ÷ 6 = $250$ (for 10%)  
-$250 × 10 = $2,500$  
-So, the total investment is **$2,500.**"  
+"We found that **1 part = $250**.  
+Now, multiply by **10** to find the total investment:  
+  \\[
+  \\text{Total Investment} = 250 \\times 10 = 2500
+  \\]  
+So, the total investment by Orrin and Damen together is **$2,500.**"  
 
-💡 "Does this make sense? How would you explain this to students?"  
+💡 **Reflection:**  
+- "How does this visual help in understanding the problem?"  
+- "Would this be useful for students struggling with percentages?"  
 🚀 "Now, let's solve this problem using a **double number line!**"  
 """
-
-# ✅ **STEP 2: DOUBLE NUMBER LINE REPRESENTATION**
 def double_number_line_step(step):
     if step == 1:
-        return """🚀 **Step 2: Solve Using a Double Number Line**  
-"How might a **double number line** help in this situation?"  
+        return """🚀 **Step 1: Solve Using a Double Number Line**  
+"A double number line helps us align percentages with actual values. How might you set this up?"  
 
-💡 **Think about:**  
-- "If **60% = $1,500**, what are the missing values for **10%, 20%, and 100%**?"  
-- "How would you label and align the values?"  
+💡 **Think before answering:**  
+- "What labels should be on the number lines?"  
+- "Where should we place **60%** and **$1,500**?"  
 
-🔹 **Try setting up your number line before I provide hints!**  
+🔹 **Try setting it up before I provide hints!**  
 """
     elif step == 2:
         return """🔹 **Hint 1:**  
-"Start by labeling the number lines:  
-- **Percentages:** 0%, 10%, 20%, 60%, 100%  
-- **Dollars:** $0, ???, ???, $1,500, ???"  
-"What values should go in the missing spots?"  
+"Start by drawing two horizontal lines:  
+- The **top line** represents **percentages** (0% to 100%).  
+- The **bottom line** represents **money** (starting from $0).  
+Now, place **60%** above **$1,500**. What other values should be on the number line?"  
 """
     elif step == 3:
         return """🔹 **Hint 2:**  
-"Divide **$1,500 by 6** to get **10%** of the total.  
-Align this value with the corresponding percentage."  
+"Now, divide the bottom line into **equal increments of 10%**.  
+- What is the value of **10%**?  
+- Can you now find **100%**?"  
 """
     elif step == 4:
         return """✅ **Solution:**  
-"The correct number line alignment:  
-- **10% = $250**  
-- **20% = $500**  
-- **100% = $2,500**  
+"We calculated that **10% = $250**. Now, we can find the total:  
+  \\[
+  \\text{Total Investment} = 250 \\times 10 = 2500
+  \\]  
+So, Orrin and Damen invested **$2,500 together.**  
 
-💡 "How does this compare to the bar model?"  
-🚀 "Now, let's solve it using an **equation!**"  
+💡 **Reflection:**  
+- "How does the double number line compare to the bar model?"  
+- "Which one do you think is more intuitive for students?"  
+🚀 "Now, let's solve this problem using **equations!**"  
 """
-
-# ✅ **STEP 3: EQUATION REPRESENTATION**
 def equation_step(step):
     if step == 1:
-        return """🚀 **Step 3: Solve Using an Equation**  
-"Can you set up an **equation** to represent the proportional relationship?"  
+        return """🚀 **Step 1: Solve Using an Equation**  
+"An equation can help us **set up a direct proportional relationship**. How might you write an equation for this problem?"  
 
-💡 **Think about:**  
-- "How can we express **60% as a fraction**?"  
-- "What equation relates **$1,500 and x**?"  
+💡 **Think before answering:**  
+- "How can we express **60%** in equation form?"  
+- "What variable should represent the **total investment**?"  
 
-🔹 **Try setting up the equation before I provide hints!**  
+🔹 **Try setting it up before I provide hints!**  
 """
     elif step == 2:
         return """🔹 **Hint 1:**  
-"Write the proportion as:  
+"Write an equation using **percent form**:  
   \\[
-  \\frac{60}{100} = \\frac{1,500}{x}
-  \\]
-  Now, solve for \\( x \\)."  
+  0.60 \\times x = 1500
+  \\]  
+Now, how would you solve for **x**?"  
 """
     elif step == 3:
         return """🔹 **Hint 2:**  
-"Use **cross-multiplication** to find \\( x \\)."  
+"To isolate **x**, divide both sides by **0.60**:  
+  \\[
+  x = \\frac{1500}{0.60}
+  \\]  
+What do you get?"  
 """
     elif step == 4:
         return """✅ **Solution:**  
+"Solving the equation:  
   \\[
-  60x = 100(1,500)
-  \\]
-  \\[
-  x = \\frac{150,000}{60} = 2,500
-  \\]
-💡 "How does this method compare to the others?"  
-🚀 "Now, let’s reflect on what we’ve learned!"  
-"""
-
-# ✅ **REFLECTION & PROBLEM-POSING**
-REFLECTION_PROMPT = """
-📌 **Common Core & Creativity-Directed Practices Discussion**  
-"Great job! Now, let’s connect this to key teaching strategies."  
+  x = \\frac{1500}{0.60} = 2500
+  \\]  
+So, the total investment by Orrin and Damen together is **$2,500.**  
 
-🔹 **Which Common Core Practices 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)  
+💡 **Reflection:**  
+- "How does setting up an equation help in problem-solving?"  
+- "How might you support students struggling to make sense of the equation?"  
 
-💡 "Which of these standards applied most to our problem? Why?"  
+🚀 "Now, let’s **compare and reflect** on these representations!"  
 """
+def reflection_and_problem_posing():
+    return """📌 **Final Reflection & Problem Posing**  
+"Now that we've solved the problem using three different representations, let's reflect on our learning!"  
 
-CREATIVITY_DIRECTED_PRACTICES_PROMPT = """
-🔹 **Which Creativity-Directed Practices did we use?**  
-- Encouraging **multiple solution methods**  
-- Using **real-world contexts**  
-- Thinking critically about **proportional relationships**  
-
-💡 "Which of these strategies did you use? How do they help students?"  
-"""
+💡 **Which Common Core Practice Standards did we use?**  
+- **CCSS.MATH.PRACTICE.MP1** (Make sense of problems & persevere)  
+- **CCSS.MATH.PRACTICE.MP4** (Model with mathematics)  
+- **CCSS.MATH.PRACTICE.MP7** (Look for and make use of structure)  
 
-PROBLEM_POSING_PROMPT = """
-📌 **Problem-Posing Activity**  
-"Now, try writing your own **percentage-based proportional reasoning problem!**  
-Use different representations (bar models, number lines, equations) to solve it."  
+💡 **Which Creativity-Directed Practices did we use?**  
+- Encouraging multiple solution methods  
+- Making connections across representations  
+- Using real-world contexts for deeper understanding  
 
-💡 **Questions to Guide Your Problem:**  
-- "What real-world context will you use?" (e.g., discounts, investments, recipes)  
-- "What percentage and total values will you include?"  
-- "How will your problem allow students to connect concepts?"  
+🚀 **Your Turn: Create a New Problem!**  
+"Now, create your own proportional reasoning problem involving percentages!"  
+- **What real-world scenario will you use?**  
+- **What percentage and total values will you include?**  
+- **How can students solve it using different representations?"**  
 
-🚀 "Once you've written your problem, I'll help evaluate and refine it!"  
+🔹 **Share your problem, and I'll give feedback!**  
 """