MAIN_PROMPT = """ ### **Module 4: Proportional Thinking with Percentages** "Welcome to this module on proportional reasoning with percentages! Your task is to **solve a problem using different representations** and connect the proportional relationship to the meaning of the problem." πŸ“Œ **Problem:** Orrin and Damen decided to invest money in a local ice cream shop. Orrin invests **$1,500**, which is **60%** of their total investment. πŸ’‘ **How much do they invest together?** πŸ’‘ **Solve using a Bar Model, Double Number Line, or Equations.** βœ… **Remember:** - "Explain your thought process after solving each part." - "Try your best before I give hints!" πŸš€ **Let’s begin! Which method would you like to use first?** """ def next_step(step): if step == 1: return """πŸš€ **Step 1: Solve Using a Bar Model** "How can we use a **bar model** to solve this problem?" πŸ’‘ **OK! Let's hear your ideas first.** - "What does the full bar represent?" - "How might we divide the bar to show 60%?" - "How can this help us find the total investment?" πŸ”Ή **Share your thinking before I provide any hints!** """ elif step == 2: return """πŸ”Ή **Hint 1:** "Try drawing a **bar to represent the total investment**. - Since 60% = **$1,500**, divide the bar into **10 equal sections** (each representing 10%). - Shade in **6 sections** to represent Orrin’s 60%. Does this setup make sense to you?" """ elif step == 3: return """πŸ”Ή **Hint 2:** "Now, let’s determine the value of one part. - Since 6 sections represent **$1,500**, we divide: \\[ \\text{Value of 1 part} = \\frac{1500}{6} \\] What do you get?" """ elif step == 4: return """πŸ”Ή **Hint 3:** "Now that we know the value of **one part**, we can find the total investment by multiplying by 10: \\[ \\text{Total Investment} = \\text{Value of 1 part} \\times 10 \\] Can you calculate and explain your answer?" """ elif step == 5: return """βœ… **Solution:** "Nice work! You found that **1 part = $250**. Now, multiplying by **10**: \\[ \\text{Total Investment} = 250 \\times 10 = 2500 \\] So, the total investment by Orrin and Damen together is **$2,500.**" πŸ’‘ **Reflection:** - "How does this visual help in understanding the problem?" - "Would this be useful for students struggling with percentages?" πŸš€ "Now, let's solve this problem using a **double number line!**" """ elif step == 6: return """πŸš€ **Step 2: Solve Using a Double Number Line** "How can a **double number line** help solve this problem?" πŸ’‘ **OK! Let's hear your ideas first.** - "What should the two number lines represent?" - "What key points should we label on the number lines?" - "How can we use this to find the total investment?" πŸ”Ή **Try before I give hints!** """ elif step == 7: return """πŸ”Ή **Hint 1:** "Start by labeling the number lines: - One represents **percentages**: **0%, 60%, and 100%**. - The other represents **dollars**: **$0, $1,500, and the total investment**. What values go in between?" """ elif step == 8: return """πŸ”Ή **Hint 2:** "Now, divide $1,500 by 6 to find 10%: \\[ \\text{Value of 10\\%} = \\frac{1500}{6} = 250 \\] Align this with **10% on the number line.** Now, what is the value at 100%?" """ elif step == 9: return """βœ… **Solution:** "Now that we’ve aligned the values: - 10% = **$250** - 100% = **$2500** So, the total investment is **$2,500!** πŸ’‘ **Reflection:** - "How does this method compare to the bar model?" - "Would this approach help students struggling with percentages?" πŸš€ "Now, let's try solving with an **equation!**" """ elif step == 10: return """πŸš€ **Step 3: Solve Using an Equation** "How can we set up an **equation** to represent this problem?" πŸ’‘ **OK! Let's hear your ideas first.** - "What proportional relationship can we write?" - "How can we express 60% mathematically?" - "What unknown are we solving for?" πŸ”Ή **Try setting up the equation before I provide hints!** """ elif step == 11: return """πŸ”Ή **Hint 1:** "Write the relationship as a proportion: \\[ \\frac{60}{100} = \\frac{1500}{x} \\] How can we solve for \\(x\\)?" """ elif step == 12: return """πŸ”Ή **Hint 2:** "Use **cross-multiplication**: \\[ 60x = 1500 \\times 100 \\] Now divide both sides by 60. What do you get?" """ elif step == 13: return """βœ… **Solution:** "Nice work! Solving the equation: \\[ x = \\frac{1500 \\times 100}{60} = 2500 \\] So, the total investment is **$2,500!** πŸ’‘ **Reflection:** - "Which method do you prefer: Bar Model, Double Number Line, or Equation?" - "How can we help students connect all three approaches?" πŸš€ "Now, let’s reflect on the **Common Core practices** we used." """ elif step == 14: return """πŸ“Œ **Common Core Standards Discussion** "Great job! Let’s reflect on how this connects to teaching strategies." πŸ”Ή **Which Common Core Standards did we cover?** - **CCSS.MATH.CONTENT.6.RP.A.3** (Solving real-world proportional reasoning problems) - **CCSS.MATH.CONTENT.7.RP.A.2** (Recognizing proportional relationships) - **CCSS.MATH.PRACTICE.MP1** (Making sense of problems & persevering) - **CCSS.MATH.PRACTICE.MP4** (Modeling with mathematics) πŸ’‘ "Which of these standards do you think applied most? Why?" """ elif step == 15: return """πŸ“Œ **Creativity-Directed Practices Discussion** "Throughout this module, we engaged in creativity-directed strategies, such as: βœ… Using multiple solution methods βœ… Encouraging deep reasoning βœ… Connecting visual and numerical representations πŸ’‘ "How do these strategies help students build deeper understanding?" πŸš€ "Now, let’s create your own problem!" """ return "πŸŽ‰ **You've completed the module! Would you like to review anything again?**"