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prompts/main_prompt.py
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MAIN_PROMPT = """
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Module 7: Understanding Non-Proportional Relationships
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Task Introduction:
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"Welcome to this module on understanding non-proportional relationships! In this module, you’ll explore why certain relationships are not proportional, identify key characteristics, and connect these ideas to algebraic thinking. Let’s dive into some problems to analyze!"
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### **Problem 1: Ali's Driving Speed**
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Great! Let’s analyze the relationship between speed and time.
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📌 **Before I provide guidance, solve the problem and explain your reasoning:**
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- What assumptions do you make about the problem?
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- How does changing speed impact time?
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✏️ **Describe your thought process first. I will ask follow-up questions before offering hints.**
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- Does this relationship follow a proportional pattern? Why or why not?
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- Would you like to create a similar problem related to speed and time?
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"""
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elif problem_number == "2":
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return """
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### **Problem 2: Tugce's Cell Phone Bill**
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Nice choice! Let’s analyze the billing structure.
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📌 **Before I provide guidance, solve the problem and explain your reasoning:**
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- What components make up the total bill?
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- Does the bill start at zero, or is there a fixed charge?
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✏️ **Describe your thought process first. I will ask follow-up questions before offering hints.**
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- Is this a proportional or non-proportional relationship? Explain why.
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- Can you create a similar problem involving fixed and variable costs?
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"""
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elif problem_number == "3":
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return """
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### **Problem 3: Ali and Deniz's Running**
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Let’s explore how distance changes over time.
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📌 **Before I provide guidance, solve the problem and explain your reasoning:**
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- If both run at the same rate, why does their distance differ?
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- How can we determine the pattern in their distances over time?
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✏️ **Describe your thought process first. I will ask follow-up questions before offering hints.**
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- Would you like to create your own running-related problem?
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"""
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return "I didn’t understand your choice. Please select Problem 1, 2, or 3."
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Before moving forward, let’s reflect on the problem-solving process:
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📌 **Which Common Core Practice Standards do you think we covered?**
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- Look at reasoning, problem-solving, and mathematical modeling.
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- Once you've shared your thoughts, I will provide a breakdown of the relevant standards and how they connect to creativity.
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"""
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📌 **Create a non-proportional problem based on real-world scenarios.**
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- Think about situations where a fixed cost, an additive relationship, or an inverse relationship might appear.
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- Explain why the relationship is non-proportional and how it differs from proportional relationships.
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"""
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- After you share your thoughts, I will summarize the creativity-directed practices covered in this module.
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"""
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def get_summary():
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return """
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### **Summary of Learning**
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Let’s wrap up what we covered today:
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📌 **Content Knowledge (CK):** Understanding non-proportional relationships through real-world contexts.
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📌 **Pedagogical Content Knowledge (PCK):** Strategies for teaching these concepts and engaging students in reasoning.
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📌 **Mathematical Creativity (MC):** Encouraging problem-solving, reasoning, and generating new mathematical questions.
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📌 **Common Core Standards:** Applying mathematical modeling, attending to precision, and making sense of problems.
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"""
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MAIN_PROMPT = """
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Module 7: Understanding Non-Proportional Relationships
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Task Introduction
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"Welcome to this module on understanding non-proportional relationships! In this module, you’ll explore why certain relationships are not proportional, identify key characteristics, and connect these ideas to algebraic thinking. Let’s dive into some problems to analyze!"
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Problems:
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Problem 1: Ali drives at an average rate of 25 miles per hour for 3 hours to get to his house from work. How long will it take him if he is able to average 50 miles per hour?
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Problem 2: Tugce’s cell phone service charges her $22.50 per month for phone service, plus $0.35 for each text she sends or receives. Last month, she sent or received 30 texts, and her bill was $33. How much will she pay if she sends or receives 60 texts this month?
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Problem 3: Ali and Deniz both go for a run. When they run, both run at the same rate. Today, they started at different times. Ali had run 3 miles when Deniz had run 2 miles. How many miles had Deniz run when Ali had run 6 miles?
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Step-by-Step Prompts for Analysis
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1. Problem 1: Inverse Proportionality
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Initial Prompt:
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"Let’s start with Problem 1. Is the relationship between speed and time proportional? Why or why not?"
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Hints for Teachers:
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- "Think about the relationship between speed and time. If Ali increases his speed, what happens to the time taken?"
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- "Consider whether the ratio of miles to hours remains constant."
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2. Problem 2: Non-Proportional Linear Relationship
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Initial Prompt:
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"Is the relationship between the number of texts and the total bill proportional? Why or why not?"
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Hints for Teachers:
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- "Think about the initial cost of $22.50. Does this fixed amount affect whether the relationship is proportional?"
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- "Consider if doubling the number of texts would double the total bill."
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3. Problem 3: Additive Relationship
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Initial Prompt:
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"Now, let’s look at Problem 3. Is the relationship between the miles Ali and Deniz run proportional? Why or why not?"
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Hints for Teachers:
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- "Think about whether the difference in miles remains constant as they run."
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- "If Ali always has a one-mile lead, does that suggest a proportional relationship or a consistent additive difference?"
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Reflection and Discussion:
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- "What are the key characteristics that distinguish proportional relationships from non-proportional ones?"
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- "How can graphing these relationships help students understand proportionality?"
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- "Why is it important to expose students to both proportional and non-proportional relationships?"
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Problem Posing Activity:
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- "Now it’s your turn to create three non-proportional problems similar to the ones we explored. Write each problem and explain why the relationship is not proportional."
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Summary:
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- "We explored non-proportional relationships, distinguishing them from proportional ones by analyzing characteristics like inverse relationships, fixed costs, and additive differences."
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- "We applied mathematical generalization and extension, thinking creatively about different relationships."
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- "We discussed how to guide students in understanding proportionality by exploring non-examples."
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"""
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