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?

Step-by-Step Prompts for Analysis
1. Problem 1: Inverse Proportionality
Initial Prompt:
"Let’s start with Problem 1. Is the relationship between speed and time proportional? Why or why not?"

Hints for Teachers:
- "Think about the relationship between speed and time. If Ali increases his speed, what happens to the time taken?"
- "Consider whether the ratio of miles to hours remains constant."

2. Problem 2: Non-Proportional Linear Relationship
Initial Prompt:
"Is the relationship between the number of texts and the total bill proportional? Why or why not?"

Hints for Teachers:
- "Think about the initial cost of $22.50. Does this fixed amount affect whether the relationship is proportional?"
- "Consider if doubling the number of texts would double the total bill."

3. Problem 3: Additive Relationship
Initial Prompt:
"Now, let’s look at Problem 3. Is the relationship between the miles Ali and Deniz run proportional? Why or why not?"

Hints for Teachers:
- "Think about whether the difference in miles remains constant as they run."
- "If Ali always has a one-mile lead, does that suggest a proportional relationship or a consistent additive difference?"

Reflection and Discussion:
- "What are the key characteristics that distinguish proportional relationships from non-proportional ones?"
- "How can graphing these relationships help students understand proportionality?"
- "Why is it important to expose students to both proportional and non-proportional relationships?"

Problem Posing Activity:
- "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."

Summary:
- "We explored non-proportional relationships, distinguishing them from proportional ones by analyzing characteristics like inverse relationships, fixed costs, and additive differences."
- "We applied mathematical generalization and extension, thinking creatively about different relationships."
- "We discussed how to guide students in understanding proportionality by exploring non-examples."

"""