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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, explain your reasoning for each problem.**
🚀 **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 we discuss, solve the problem and explain your reasoning:**
- How do you determine if a relationship is proportional?
- What happens to travel time when speed increases?
✏️ **Describe your thought process first. I will ask follow-up questions before offering hints or solutions.**
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?
- How does this affect the relationship between speed and time?
- Would you like to move on to Problem 2 now, or discuss more about Problem 1?
"""
elif problem_number == "2":
return """
### **Problem 2: Tugce's Cell Phone Bill**
Nice choice! Let’s break this down step by step.
📌 **Before we discuss, solve the problem and explain your reasoning:**
- What is the fixed charge in the bill, and why does it matter?
- How does the cost per text affect proportionality?
✏️ **Describe your thought process first. I will ask follow-up questions before offering hints or solutions.**
Follow-up Prompts:
- How much does Tugce pay for 30 texts?
- How would the bill change if she sent 60 texts?
- Does the bill start from zero, or does it have a fixed cost?
- Do you see why this relationship is non-proportional?
- Would you like to attempt solving it yourself before I provide guidance?
"""
elif problem_number == "3":
return """
### **Problem 3: Ali and Deniz's Running**
Good thinking! Let’s explore the relationship between their distances.
📌 **Before we discuss, 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 or solutions.**
Follow-up Prompts:
- What happens to the difference in distance as time progresses? Does it remain constant or change?
- If Ali had run 3 miles while Deniz had run 2 miles, how much more does Ali run compared to Deniz?
- Now, when Ali reaches 6 miles, what pattern do you notice in their distances?
- Can you explain why this is an additive relationship rather than a proportional one?
- Would you like to attempt solving it yourself before I provide guidance?
"""
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?**
- Think about reasoning, problem-solving, and mathematical modeling.
- Once you've shared your thoughts, I will provide a breakdown of the relevant standards.
"""
def get_problem_posing_task():
return """
### **Problem Posing Activity**
Now that we've explored non-proportional relationships, let's extend our understanding:
📌 **Create a similar non-proportional problem.**
- Think about situations where a fixed cost, an additive relationship, or an inverse relationship might appear.
- Explain why the relationship is non-proportional.
"""
def get_creativity_discussion():
return """
### **Creativity-Directed Practices**
Before we conclude, let’s reflect:
📌 **How do you think creativity played a role in solving these problems?**
- What aspects of problem-solving required flexibility or new ways of thinking?
- After you share your thoughts, I will provide an overview of 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 to students.
📌 **Mathematical Creativity (MC):** Problem-solving, reasoning, and connecting concepts in innovative ways.
"""
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