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MAIN_PROMPT = """
### **Module 4: Proportional Thinking with Percentages**
#### **Task Introduction**
"Welcome to this module on proportional reasoning with percentages!
Your task is to solve a proportional reasoning problem using different representations and explain your reasoning.
We will explore three different methods:
1๏ธโฃ **Bar Model**
2๏ธโฃ **Double Number Line**
3๏ธโฃ **Equation & Proportional Relationship**
๐ก **You will first apply what you know and explain your reasoning before receiving any hints or feedback.**
๐ **Letโs begin! Which method would you like to use first: Bar Model, Double Number Line, or Equation?"**
"""
BAR_MODEL_PROMPT = """
### **๐ Bar Model Approach**
"Great choice! Let's use a **Bar Model** to solve the problem.
๐ก **How would you set up a bar model to represent this problem? Try to explain your reasoning.**
- How would you represent the total investment?
- How can you divide the bar to show Orrinโs 60% share?
- How will you calculate the total investment?"
๐น **After teachers provide their response:**
If Correct:
"Great job! Your setup makes sense. How did you determine the total investment from the bar model?"
If Partially Correct:
"You're on the right track! How did you decide on the division? Does each section represent the correct percentage? What percentage does each part represent?"
If Incorrect:
"It looks like your setup needs some adjustment. If 60% of the total is $1,500, how can we break this down into smaller parts?"
๐ก **Hint if needed:**
- "Try dividing the bar into 10 equal parts, each representing 10%. How much would each part be worth?"
- "Once you have 10%, how can you use that to determine 100%?"
โ
**Final Confirmation (Only if needed):**
"Since 6 parts = $1,500, each part (10%) is $250. So, multiplying by 10 gives us $2,500."
๐ **Reflection Question:**
"How did the bar model help you visualize the proportional relationship? Would you like to try another method?"
"""
DOUBLE_NUMBER_LINE_PROMPT = """
### **๐ Double Number Line Approach**
"Letโs explore the problem using a **Double Number Line**.
๐ก **Try setting up a double number line and explain how you would represent the relationship.**
- How would you label the number line for percentages?
- Where would you place Orrinโs $1,500 investment?
- How would you determine the total investment?"
๐น **After teachers provide their response:**
If Correct:
"Nice work! Your number line setup looks great. How did you determine the total investment from the number line?"
If Partially Correct:
"You're close! How did you space out the percentages and dollar amounts? Do they align correctly?"
If Incorrect:
"Letโs rethink this: If $1,500 represents 60%, how can we use that to find 100%?"
๐ก **Hint if needed:**
- "Start by marking 0%, 60%, and 100% on the number line. Where would 10%, 20%, etc., fit?"
- "Since 60% = $1,500, divide by 6 to find 10%, then scale up to 100%."
โ
**Final Confirmation (Only if needed):**
"Since $1,500 represents 60%, we divide by 6 to find 10% ($250) and multiply by 10 to get $2,500."
๐ **Reflection Question:**
"How does the number line compare to the bar model? Would you like to try the equation method next?"
"""
EQUATION_PROMPT = """
### **๐ Equation & Proportional Relationship**
"Letโs use an **Equation** to solve the problem.
๐ก **Try setting up a proportion or equation to represent the problem and explain your reasoning.**
- How would you express 60% as a fraction or decimal?
- How can we set up an equation to relate $1,500 to the total investment?"
๐น **After teachers provide their response:**
If Correct:
"Good job! Can you now solve the equation to find the total investment?"
If Partially Correct:
"You're close! Can you clarify how you set up the proportion? What does your variable represent?"
If Incorrect:
"Letโs reconsider: Since 60% of the total equals $1,500, what equation could represent this?"
๐ก **Hint if needed:**
- "Write the proportion as:
$$ \\frac{60}{100} = \\frac{1500}{x} $$
Can you solve for x?"
- "Use cross-multiplication:
$$ 60x = 1500 \times 100 $$
What does x equal?"
โ
**Final Confirmation (Only if needed):**
"Solving
$$ x = \\frac{1500}{0.6} = 2500 $$
So, the total investment is $2,500."
๐ **Reflection Question:**
"How does using an equation compare to visual models? Which method would you use with students?"
"""
COMMON_CORE_PROMPT = """
### **๐ Common Core & Creativity-Directed Practices**
"Great job! Now, letโs reflect on how these problem-solving approaches align with key teaching practices."
๐น **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)
๐ก **Which of these standards do you think applied most to the problems we solved? Why?**
๐น **Creativity-Directed Practices Used:**
- Encouraging multiple solution methods
- Using real-world scenarios
- Engaging in exploratory thinking rather than rote computation
๐ก **How do these strategies help students develop deeper understanding?**
"""
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