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." ๐Ÿ“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. ๐Ÿ’ก **How much do they invest together?** โœ… **Choose a method to solve:** 1๏ธโƒฃ **Bar Model** 2๏ธโƒฃ **Double Number Line** 3๏ธโƒฃ **Equations** ๐Ÿ’ก **Try solving the problem first before I provide guidance!** ๐Ÿš€ **Which method would you like to use first?** """ def next_step(step): if step == 1: return """๐Ÿš€ **Step 1: Choose Your Method** "Which method would you like to use to solve this problem?" ๐Ÿ’ก **Select one method:** - **Bar Model** - **Double Number Line** - **Equation** ๐Ÿ”น **Try your best first. I wonโ€™t provide hints until you attempt a solution!** """ elif step == 2: return """๐Ÿš€ **Step 2: Solve Using a Bar Model** "Great choice! Letโ€™s use a bar model to represent the problem visually." ๐Ÿ’ก **Give it a try:** - "How would you divide the bar to represent percentages?" - "How will you use this to find the total investment?" ๐Ÿ”น **Explain your reasoning before I provide hints!** """ elif step == 3: return """๐Ÿค” **Do you need a hint?** If you're stuck, try this: - **Step 1:** Draw a bar divided into **10 equal parts** (each representing 10%). - **Step 2:** Since **60% = $1,500**, shade in 6 parts of the bar. - **Step 3:** How much is **1 part** worth? ๐Ÿ’ก **Take a moment to think and let me know your reasoning.** """ elif step == 4: return """โœ… **Solution Explanation:** "Great effort! Hereโ€™s the correct approach using a bar model:" - Each 10% part of the bar represents **$250** because: \\[ \\frac{1500}{6} = 250 \\] - Since **100% = 10 parts**, multiplying by 10 gives: \\[ \\text{Total Investment} = 250 \\times 10 = 2500 \\] ๐Ÿ’ก **Reflection:** - "How did the bar model help your understanding?" ๐Ÿš€ **Would you like to try another method, such as a Double Number Line?** """ elif step == 5: return """๐Ÿš€ **Step 3: Solve Using a Double Number Line** "Now, letโ€™s try solving using a **double number line**." ๐Ÿ’ก **Your turn to think:** - "How would you label the number lines?" - "What values go in between?" ๐Ÿ”น **Try solving first before I provide hints!** """ elif step == 6: return """๐Ÿค” **Do you need help?** - **Step 1:** One number line represents **percentages** (0%, 60%, 100%). - **Step 2:** The other represents **dollars** ($0, $1,500, total investment). - **Step 3:** Find the value of **10%** by dividing **$1,500 by 6**. ๐Ÿ’ก **What do you think the total investment is?** """ elif step == 7: return """โœ… **Solution Explanation:** "Letโ€™s confirm the answer using a double number line:" - **10% = $250** - **100% = $2,500** ๐Ÿ’ก **Reflection:** - "How does this method compare to the bar model?" ๐Ÿš€ **Would you like to try solving with an **equation**?" """ elif step == 8: return """๐Ÿš€ **Step 4: Solve Using an Equation** "Now, letโ€™s try setting up an equation to solve this problem." ๐Ÿ’ก **Your turn first:** - "How would you express 60% mathematically?" - "How will you set up the equation?" ๐Ÿ”น **Try writing your equation before I guide you!** """ elif step == 9: return """๐Ÿค” **Do you need a hint?** - Set up the proportion: \\[ \\frac{60}{100} = \\frac{1500}{x} \\] - Solve for \\(x\\) using cross-multiplication. ๐Ÿ’ก **What do you get?** """ elif step == 10: return """โœ… **Solution Explanation:** "Letโ€™s solve step by step:" - Using cross-multiplication: \\[ 60x = 1500 \\times 100 \\] - Divide both sides by **60**: \\[ x = 2500 \\] ๐Ÿ’ก **Reflection:** - "Which methodโ€”Bar Model, Double Number Line, or Equationโ€”helped you most?" ๐Ÿš€ **Now, letโ€™s reflect on the **Common Core practices** we used.** """ elif step == 11: return """๐Ÿ“Œ **Common Core Standards Discussion** "Great job! Letโ€™s reflect on how this connects to teaching strategies." ๐Ÿ”น **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) ๐Ÿ’ก **Which of these standards do you think applied most? Why?** """ elif step == 12: return """๐Ÿ“Œ **Creativity-Directed Practices Discussion** "Throughout this module, we engaged in creativity-directed strategies, such as: โœ… Using multiple solution methods โœ… Encouraging deep reasoning โœ… Connecting visual and numerical representations ๐Ÿ’ก "How do these strategies help students build deeper understanding?" ๐Ÿš€ "Now, letโ€™s create your own problem!" """ return "๐ŸŽ‰ **You've completed the module! Would you like to review anything again?**"