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MAIN_PROMPT = """ |
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### **Module 4: Proportional Thinking with Percentages** |
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#### **Task Introduction** |
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"Welcome to this module on proportional reasoning with percentages! |
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Your goal in this module is to solve a real-world proportional reasoning problem involving percentages using different representations. |
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π **Here is the problem:** |
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**Orrin and Damen decided to invest money in a local ice cream shop. Orrin invests $1,500, which is 60% of their total investment. How much do Orrin and Damen invest together?** |
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You will explore different methods to solve this problem: |
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1οΈβ£ **Bar Model** |
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2οΈβ£ **Double Number Line** |
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3οΈβ£ **Equation** |
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π‘ **Step 1: Before we begin, how would you approach solving this problem?** |
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- "What information do we already know?" |
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- "What are we trying to find?" |
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- "What strategies could help us solve this?" |
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Once you've shared your initial thoughts, **select a method** you'd like to use first!" |
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""" |
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def next_step(step): |
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if step == 1: |
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return """β
**Step 2: Choose a Method** |
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"Great! Now, which method would you like to use first?" |
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1οΈβ£ **Bar Model** |
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2οΈβ£ **Double Number Line** |
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3οΈβ£ **Equation** |
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Type your choice, and we'll apply it together!" |
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""" |
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elif step == 2: |
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return """π **Bar Model Method** |
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"Great choice! Let's use a Bar Model to solve this problem. |
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π‘ **Before I provide any steps, please explain how you would apply the bar model to solve this problem.** |
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- How would you represent the total investment? |
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- How would you break it into parts? |
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- What calculations would you use?" |
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πΉ **Once you've explained your process, I'll provide feedback and guide you if needed!** |
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""" |
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elif step == 3: |
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return """β
**Bar Model Feedback & Guidance** |
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π **Let's check your reasoning:** |
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- If 60% of the total is $1,500, how can we determine what 10% is? |
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- How can we use that to find 100%? |
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πΉ **If you need a hint:** |
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1οΈβ£ "Try dividing $1,500 by 6 to find 10% of the total investment." |
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2οΈβ£ "Multiply that by 10 to find 100%." |
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π‘ **Go ahead and solve it! Then, let me know your answer.** |
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""" |
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elif step == 4: |
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return """π **Double Number Line Method** |
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"Let's now apply the Double Number Line to solve this problem. |
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π‘ **Before I provide guidance, explain how you would use a number line to solve this.** |
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- How would you set up the number line? |
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- What values would you place at 0%, 60%, and 100%? |
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- How would you calculate the total investment?" |
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πΉ **Once you've explained your approach, I'll provide feedback and hints if needed!** |
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""" |
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elif step == 5: |
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return """β
**Double Number Line Feedback & Guidance** |
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π **Letβs check your reasoning:** |
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- Did you correctly align $1,500 with 60%? |
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- Did you divide $1,500 by 6 to find 10%? |
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- Did you multiply by 10 to find the total? |
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πΉ **If you need a hint:** |
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1οΈβ£ "Start by labeling the number line with 0%, 60%, and 100%." |
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2οΈβ£ "Divide $1,500 by 6 to determine what 10% represents." |
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3οΈβ£ "Multiply that by 10 to find 100%." |
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π‘ **Try solving it now, and let me know your answer!** |
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""" |
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elif step == 6: |
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return """π **Equation Method** |
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"Now, let's apply an equation to solve this problem. |
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π‘ **Before I guide you, explain how you would set up an equation for this problem.** |
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- How would you write 60% as a fraction or decimal? |
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- How would you use it to find the total investment?" |
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πΉ **Once you've explained your approach, I'll provide feedback and hints if needed!** |
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""" |
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elif step == 7: |
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return """β
**Equation Feedback & Guidance** |
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π **Letβs check your reasoning:** |
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- Did you correctly write the proportion as **(60/100) = (1500/x)**? |
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- Did you use cross-multiplication or division to solve for **x**? |
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πΉ **If you need a hint:** |
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1οΈβ£ "Write 60% as a fraction: **60/100 = 1500/x**." |
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2οΈβ£ "Use cross-multiplication: **60x = 1500 Γ 100**." |
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3οΈβ£ "Solve for **x** to find the total investment." |
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π‘ **Go ahead and solve it! Then, let me know your answer.** |
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""" |
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elif step == 8: |
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return """π **Common Core & Creativity-Directed Practices Discussion** |
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"Great job solving the problem using different methods! Now, let's reflect: |
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πΉ **Which Common Core Standards did we cover?** |
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- **CCSS.MATH.CONTENT.6.RP.A.3** (Solving real-world proportional reasoning problems) |
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- **CCSS.MATH.CONTENT.7.RP.A.2** (Recognizing proportional relationships) |
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- **CCSS.MATH.PRACTICE.MP1** (Making sense of problems & persevering) |
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- **CCSS.MATH.PRACTICE.MP4** (Modeling with mathematics) |
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π‘ **Which of these standards do you think applied most to the problems we solved? Why?** |
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""" |
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elif step == 9: |
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return """π **Creativity-Directed Practices Discussion** |
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"Throughout this module, we engaged in creativity-directed strategies, such as: |
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Encouraging multiple solution methods |
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Using real-world contexts |
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Thinking critically about proportional relationships |
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π‘ **Which of these strategies did you use while solving the problems?** |
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π‘ **How do you think encouraging creativity helps students develop deeper understanding?** |
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""" |
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elif step == 10: |
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return """π **Problem Posing Activity** |
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"Now, letβs take it one step further! Try creating your own proportional reasoning problem involving percentages." |
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π‘ **Some guiding questions:** |
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- "What real-world context will you use? (e.g., discounts, investments, recipes)" |
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- "What percentage and total values will you include?" |
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- "How will your problem allow students to make connections between percentages and proportions?" |
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Once you've created your problem, share it, and Iβll provide feedback! |
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""" |
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return "π **You've completed the module! Would you like to review anything again?**" |
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