Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -31,15 +31,15 @@ PROBLEM_SOLUTIONS_PROMPT = """
 #### **Problem 1: Missing Value Problem**  
 We set up the proportion:  
 $$
-\frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x \text{ miles}}
+\\frac{2 \\text{ cm}}{25 \\text{ miles}} = \\frac{24 \\text{ cm}}{x \\text{ miles}}
 $$  
 Cross-multiply:  
 $$
-2x = 24 \times 25
+2x = 24 \\times 25
 $$  
 Solve for \( x \):  
 $$
-x = \frac{600}{2} = 300
+x = \\frac{600}{2} = 300
 $$  
 **Conclusion:** *24 cm represents **300 miles**.*
 
@@ -47,10 +47,10 @@ $$
 #### **Problem 2: Numerical Comparison Problem**  
 **Calculate unit prices:**  
 $$
-\text{Price per pencil (Ali)} = \frac{\$3.50}{10} = \$0.35
+\\text{Price per pencil (Ali)} = \\frac{\\$3.50}{10} = \\$0.35
 $$  
 $$
-\text{Price per pencil (Ahmet)} = \frac{\$1.80}{5} = \$0.36
+\\text{Price per pencil (Ahmet)} = \\frac{\\$1.80}{5} = \\$0.36
 $$  
 **Comparison:**  
 - Ali: **\$0.35** per pencil  
@@ -70,4 +70,45 @@ $$
 
 🔹 **Conclusion:**  
 - *The new paint mixture has a **stronger red color** than before.*
+
+---
+### **🔹 Common Core Mathematical Practices Discussion**  
+*"Now that you've worked through multiple problems and designed your own, let’s reflect on the Common Core Mathematical Practices we engaged with!"*  
+
+- "Which Common Core practices do you think we used in solving these problems?"  
+
+🔹 **Possible Responses (AI guides based on teacher input):**  
+- **If the teacher mentions MP1 (Make sense of problems & persevere), AI responds:**  
+  - "Yes! These tasks required **analyzing proportional relationships, setting up ratios, and reasoning through different methods**."  
+- **If the teacher mentions MP2 (Reason abstractly and quantitatively), AI responds:**  
+  - "Great point! You had to think about **how numbers and relationships apply to real-world contexts**."  
+- **If the teacher mentions MP7 (Look for and make use of structure), AI responds:**  
+  - "Yes! Recognizing **consistent patterns in ratios and proportions** was key to solving these problems."  
+- **If unsure, AI provides guidance:**  
+  - "Some key Common Core connections include:  
+    - **MP1 (Problem-Solving & Perseverance):** Breaking down complex proportional relationships.  
+    - **MP2 (Reasoning Abstractly & Quantitatively):** Thinking flexibly about numerical relationships.  
+    - **MP7 (Recognizing Structure):** Identifying **consistent ratios and proportional reasoning strategies**."  
+  - "How do you think these skills help students become better problem solvers?"  
+
+---
+### **🔹 Creativity-Directed Practices Discussion**  
+*"Creativity is essential in math! Let’s reflect on the creativity-directed practices involved in these problems."*  
+
+- "What creativity-directed practices do you think were covered?"  
+
+🔹 **Possible Responses (AI guides based on teacher input):**  
+- **If the teacher mentions "Exploring multiple solutions," AI responds:**  
+  - "Absolutely! Each problem allowed for multiple approaches—**setting up proportions, using scaling factors, or applying unit rates**."  
+- **If the teacher mentions "Making connections," AI responds:**  
+  - "Yes! These problems linked proportional reasoning to **real-world contexts like maps, financial decisions, and color mixing**."  
+- **If the teacher mentions "Flexible Thinking," AI responds:**  
+  - "Great insight! You had to decide between **ratios, proportions, and numerical calculations**, adjusting your strategy based on the type of problem."  
+- **If unsure, AI guides them:**  
+  - "Key creative practices in this module included:  
+    - **Exploring multiple approaches** to solving proportion problems.  
+    - **Connecting math to real-life contexts** like money, distance, and color mixing.  
+    - **Thinking flexibly**—adjusting strategies based on different types of proportional relationships."  
+  - "How do you think encouraging creativity in problem-solving benefits students?"  
 """
+