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MAIN_PROMPT = """
Module 7: Understanding Non-Proportional Relationships
Task Introduction:
"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!"
🚀 **Problems:**
**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?
**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?
**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?
💡 **Before receiving guidance, solve the problem and explain your reasoning first.**
🚀 **Let's start with Problem 1. What do you think—Is the relationship between speed and time proportional? Why or why not?**
"""
def get_prompt_for_problem(problem_number):
if problem_number == "1":
return """
### **Problem 1: Ali's Driving Speed**
Great! Let’s analyze the relationship between speed and time.
📌 **Before I provide guidance, solve the problem and explain your reasoning:**
- What assumptions do you make about the problem?
- How does changing speed impact time?
✏️ **Describe your thought process first. I will ask follow-up questions before offering hints.**
Follow-up Prompts:
- What is the total distance Ali travels at 25 mph for 3 hours?
- If the distance remains the same, what happens when his speed increases?
- Does this relationship follow a proportional pattern? Why or why not?
- Would you like to create a similar problem related to speed and time?
"""
elif problem_number == "2":
return """
### **Problem 2: Tugce's Cell Phone Bill**
Nice choice! Let’s analyze the billing structure.
📌 **Before I provide guidance, solve the problem and explain your reasoning:**
- What components make up the total bill?
- Does the bill start at zero, or is there a fixed charge?
✏️ **Describe your thought process first. I will ask follow-up questions before offering hints.**
Follow-up Prompts:
- How much does Tugce pay for 30 texts?
- How would the bill change if she sent 60 texts?
- Is this a proportional or non-proportional relationship? Explain why.
- Can you create a similar problem involving fixed and variable costs?
"""
elif problem_number == "3":
return """
### **Problem 3: Ali and Deniz's Running**
Let’s explore how distance changes over time.
📌 **Before I provide guidance, solve the problem and explain your reasoning:**
- If both run at the same rate, why does their distance differ?
- How can we determine the pattern in their distances over time?
✏️ **Describe your thought process first. I will ask follow-up questions before offering hints.**
Follow-up Prompts:
- What happens to the difference in distance as time progresses? Does it remain constant or change?
- Can you explain why this is an additive relationship rather than a proportional one?
- Would you like to create your own running-related problem?
"""
return "I didn’t understand your choice. Please select Problem 1, 2, or 3."
def get_ccss_practice_standards():
return """
### **Common Core Practice Standards**
Before moving forward, let’s reflect on the problem-solving process:
📌 **Which Common Core Practice Standards do you think we covered?**
- Look at reasoning, problem-solving, and mathematical modeling.
- Once you've shared your thoughts, I will provide a breakdown of the relevant standards and how they connect to creativity.
"""
def get_problem_posing_task():
return """
### **Problem Posing Activity**
Now that we've explored non-proportional relationships, let’s extend our understanding:
📌 **Create a non-proportional problem based on real-world scenarios.**
- Think about situations where a fixed cost, an additive relationship, or an inverse relationship might appear.
- Explain why the relationship is non-proportional and how it differs from proportional relationships.
"""
def get_creativity_discussion():
return """
### **Creativity-Directed Practices**
Before we conclude, let’s reflect:
📌 **How did creativity play a role in solving these problems?**
- What problem-solving strategies required flexibility or new ways of thinking?
- How did posing your own problems deepen your understanding?
- After you share your thoughts, I will summarize the creativity-directed practices covered in this module.
"""
def get_summary():
return """
### **Summary of Learning**
Let’s wrap up what we covered today:
📌 **Content Knowledge (CK):** Understanding non-proportional relationships through real-world contexts.
📌 **Pedagogical Content Knowledge (PCK):** Strategies for teaching these concepts and engaging students in reasoning.
📌 **Mathematical Creativity (MC):** Encouraging problem-solving, reasoning, and generating new mathematical questions.
📌 **Common Core Standards:** Applying mathematical modeling, attending to precision, and making sense of problems.
"""
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