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Update prompts/main_prompt.py
Browse files- prompts/main_prompt.py +30 -89
prompts/main_prompt.py
CHANGED
@@ -25,91 +25,6 @@ Your goal is to **solve and compare** these problems, **identify their character
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*"Kim is mixing paint. Yesterday, she combined **red and white paint** in a certain ratio. Today, she used **more red paint** but kept the **same amount of white paint**. How will today’s mixture compare to yesterday’s in color?"*
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"""
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### 🚀 MISSING VALUE PROMPT ###
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MISSING_VALUE_PROMPT = """
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### **🚀 Step 1: Missing Value Problem**
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*"The scale on a map is **2 cm represents 25 miles**. If a measurement is **24 cm**, how many miles does it represent?"*
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💡 **Before I give hints, try to answer these questions:**
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- "What is the relationship between **2 cm** and **24 cm**? How many times larger is 24 cm?"
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- "If **2 cm = 25 miles**, how can we scale up proportionally?"
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- "How would you set up a proportion to find the missing value?"
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🔹 **Hint:** Try setting up a proportion:
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\[
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\frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x}
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\]
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Now, solve for \( x \).
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### **🔹 Common Core Mathematical Practices Discussion**
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*"Now, let’s connect this to the Common Core Mathematical Practices!"*
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- "What Common Core practices do you think we used in solving this problem?"
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- **Possible responses:**
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- **MP1 (Make sense of problems & persevere)** → "Yes! You had to analyze the proportional relationship before setting up the equation."
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- **MP7 (Look for and make use of structure)** → "Great observation! Recognizing the proportional structure helped solve it."
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### **🔹 Creativity-Directed Practices Discussion**
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*"Creativity is a big part of problem-solving! What creativity-directed practices do you think were involved?"*
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- **Possible responses:**
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- **Exploring multiple solutions** → "Yes! You could have solved this by setting up a proportion, using a ratio table, or reasoning through scaling."
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- **Making connections** → "Absolutely! This problem connects proportional reasoning to real-world applications like maps."
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"""
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### 🚀 NUMERICAL COMPARISON PROMPT ###
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NUMERICAL_COMPARISON_PROMPT = """
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### **🚀 Step 2: Numerical Comparison Problem**
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*"Ali bought **10 pencils for $3.50**, and Ahmet purchased **5 pencils for $1.80**. Who got the better deal?"*
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💡 **Before I give hints, try to answer these questions:**
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- "What does 'better deal' mean mathematically?"
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- "How can we calculate the **cost per pencil** for each person?"
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🔹 **Hint:** Set up unit price calculations:
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\[
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\frac{3.50}{10} = 0.35, \quad \frac{1.80}{5} = 0.36
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\]
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Now compare: Who has the lower unit cost per pencil?
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### **🔹 Common Core Mathematical Practices Discussion**
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*"What Common Core practices do you think were covered in this task?"*
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- **Possible responses:**
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- **MP2 (Reasoning quantitatively)** → "Yes! You had to translate cost-per-pencil ratios into comparable numbers."
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- **MP6 (Attend to precision)** → "Exactly! Precision was key in making accurate unit rate comparisons."
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### **🔹 Creativity-Directed Practices Discussion**
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*"What creativity-directed practices did we use in solving this problem?"*
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- **Possible responses:**
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- **Generating multiple representations** → "Yes! We could compare unit rates using **fractions, decimals, or tables**."
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- **Flexible thinking** → "Exactly! Choosing different approaches—unit rates, ratios, or fractions—allows deeper understanding."
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"""
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### 🚀 QUALITATIVE REASONING PROMPT ###
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QUALITATIVE_REASONING_PROMPT = """
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### **🚀 Step 3: Qualitative Reasoning Problem**
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*"Kim is making paint. Yesterday, she mixed white and red paint together. Today, she used **more red paint** but kept the **same amount of white paint**. How will today’s mixture compare to yesterday’s in color?"*
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💡 **Before I give hints, try to answer these questions:**
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- "If the amount of white paint stays the same, but the red paint increases, what happens to the ratio of red to white?"
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🔹 **Hint:** Set up a proportion to compare ratios:
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\[
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\frac{\text{Red Paint}_1}{\text{White Paint}_1} \quad \text{vs.} \quad \frac{\text{Red Paint}_2}{\text{White Paint}_1}
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\]
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What happens when the ratio increases?
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### **🔹 Common Core Mathematical Practices Discussion**
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*"Which Common Core Practices were used here?"*
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- **Possible responses:**
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- **MP4 (Modeling with Mathematics)** → "Yes! We had to visualize and describe proportional changes."
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- **MP3 (Constructing arguments)** → "Absolutely! You had to justify your reasoning without numbers."
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### **🔹 Creativity-Directed Practices Discussion**
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*"What creativity-directed practices do you think were central to solving this problem?"*
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- **Possible responses:**
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- **Visualizing Mathematical Ideas** → "Yes! We reasoned visually about how the mixture changes."
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- **Divergent Thinking** → "Absolutely! Since no numbers were given, we had to think flexibly."
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"""
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### 🚀 PROBLEM-POSING ACTIVITY ###
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PROBLEM_POSING_ACTIVITY_PROMPT = """
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### **🚀 New Problem-Posing Activity**
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💡 **Once you've created your new problem, let’s reflect!**
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"""
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*"Kim is mixing paint. Yesterday, she combined **red and white paint** in a certain ratio. Today, she used **more red paint** but kept the **same amount of white paint**. How will today’s mixture compare to yesterday’s in color?"*
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"""
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### 🚀 PROBLEM-POSING ACTIVITY ###
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PROBLEM_POSING_ACTIVITY_PROMPT = """
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### **🚀 New Problem-Posing Activity**
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💡 **Once you've created your new problem, let’s reflect!**
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---
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### **🔹 Common Core Mathematical Practices Discussion**
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*"Now that you've worked through multiple problems and designed your own, let’s reflect on the Common Core Mathematical Practices we engaged with!"*
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- "Which Common Core practices do you think were used in solving these problems?"
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- **If the teacher mentions MP1 (Make sense of problems & persevere), AI responds:**
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- "Yes! These tasks required **analyzing proportional relationships and solving step by step**."
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- **If the teacher mentions MP7 (Look for and make use of structure), AI responds:**
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- "Great point! Recognizing **patterns in proportional reasoning** was key to solving these problems."
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- **If unsure, AI provides guidance:**
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- "Some key Common Core connections include:
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- **MP1 (Problem-Solving & Perseverance):** Breaking down complex proportional relationships.
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- **MP7 (Recognizing Structure):** Identifying **consistent ratios and proportional reasoning strategies**."
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- "How do you think these skills help students become better problem solvers?"
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---
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### **🔹 Creativity-Directed Practices Discussion**
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*"Creativity is essential in math! Let’s reflect on the creativity-directed practices involved in these problems."*
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- "What creativity-directed practices do you think were covered?"
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- **If the teacher mentions "Exploring multiple solutions," AI responds:**
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- "Absolutely! Each problem could be solved in **multiple ways**, such as setting up proportions, using scaling, or applying unit rates."
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- **If the teacher mentions "Making connections," AI responds:**
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- "Yes! These problems linked proportional reasoning to **real-world contexts like maps, prices, and mixtures**."
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- **If the teacher mentions "Flexible Thinking," AI responds:**
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- "Great insight! Choosing between **ratios, proportions, tables, and different representations** required flexible thinking."
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- **If unsure, AI guides them:**
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- "Key creative practices in this module included:
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- **Exploring multiple approaches** to solving proportion problems.
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- **Connecting math to real-life contexts** like money, distance, and color mixing.
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- **Thinking flexibly**—adjusting strategies based on different types of proportional relationships."
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- "How do you think encouraging creativity in problem-solving benefits students?"
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"""
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