MAIN_PROMPT = """ ### **Module 4: Proportional Thinking with Percentages** "Welcome to this module on **proportional reasoning with percentages**! Your goal is to solve a real-world problem using **different representations** and connect proportional relationships 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?** ๐Ÿš€ **Choose a method to solve:** 1๏ธโƒฃ **Bar Model** 2๏ธโƒฃ **Double Number Line** 3๏ธโƒฃ **Equations** ๐Ÿ’ก **First, try solving the problem on your own 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:** - **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: Bar Model** "Great choice! Letโ€™s use a **bar model**." ๐Ÿ’ก **Before I provide any hints, describe your approach:** - "How would you divide the bar to represent percentages?" - "What part of the bar represents Orrinโ€™s investment?" - "How would you use this to find the total investment?" ๐Ÿ”น **Explain your reasoning first!** """ elif step == 3: return """๐Ÿค” **Would you like a hint?** - **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 **What do you think? Try calculating it before I continue!** """ elif step == 4: return """โœ… **Solution Using Bar Model** "Letโ€™s confirm the answer together!" ๐Ÿ“Œ **Bar Model Representation** Understanding the Problem: - Orrin invests **$1,500**, which is **60%** of the total investment. - We need to find **100% of the total investment**. ๐Ÿ“Œ **Creating the Bar Model** - Draw a **horizontal bar** and divide it into **10 equal parts**. - Label **6 parts** as Orrinโ€™s 60% ($1,500). - The remaining **4 parts** represent Damenโ€™s investment (40%). ๐Ÿ“Œ **Calculating the Total Investment** Since Orrinโ€™s $1,500 represents **60%**, we set up the proportion: \\[ \\text{Total Investment} = \\frac{1500}{0.6} \\] Solving for total investment: \\[ \\text{Total Investment} = 2500 \\] ๐Ÿ“Œ **Conclusion:** The total investment made by Orrin and Damen together is **$2,500**. 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: Double Number Line** "Now, letโ€™s try solving using a **double number line**." ๐Ÿ’ก **Your turn first:** - "How would you set up the number lines?" - "What values should go at 0%, 60%, and 100%?" ๐Ÿ”น **Try setting up the number line first before I provide hints!** """ elif step == 6: return """๐Ÿค” **Need a hint?** - **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 Using Double Number Line** ๐Ÿ“Œ **Double Number Line Representation** - Mark key points on two parallel lines: - **0%, 60%, 100%** on one line. - **$0, $1,500, and Total Investment** on the other. - Since **$1,500 represents 60%**, divide by **6** to get **10% = $250**. - Multiply by **10** to get **100% = $2,500**. ๐Ÿ“Œ **Conclusion:** The total investment is **$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: Equation Method** "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” **Would you like 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 Using an Equation** ๐Ÿ“Œ **Equation Representation** Using a proportion: \\[ \\frac{60}{100} = \\frac{1500}{x} \\] Cross-multiply: \\[ 60x = 1500 \\times 100 \\] Divide both sides by **60**: \\[ x = 2500 \\] ๐Ÿ“Œ **Conclusion:** The total investment is **$2,500**. 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?**"