Update prompts/main_prompt.py
Browse files- prompts/main_prompt.py +138 -136
prompts/main_prompt.py
CHANGED
|
@@ -1,176 +1,178 @@
|
|
| 1 |
MAIN_PROMPT = """
|
| 2 |
-
### **Module 4: Proportional Thinking with Percentages**
|
| 3 |
-
|
| 4 |
-
|
|
|
|
| 5 |
|
| 6 |
-
|
| 7 |
Orrin and Damen decided to invest money in a local ice cream shop. Orrin invests **$1,500**, which is **60%** of their total investment.
|
| 8 |
-
|
| 9 |
|
| 10 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 11 |
1๏ธโฃ **Bar Model**
|
| 12 |
2๏ธโฃ **Double Number Line**
|
| 13 |
-
3๏ธโฃ **
|
| 14 |
-
|
| 15 |
-
๐ก **Try solving the problem on your own before I provide guidance!**
|
| 16 |
-
๐ **Which method would you like to use first?**
|
| 17 |
"""
|
| 18 |
|
| 19 |
-
|
| 20 |
-
|
| 21 |
-
|
| 22 |
-
|
|
|
|
| 23 |
|
| 24 |
-
๐ก **
|
| 25 |
-
-
|
| 26 |
-
-
|
| 27 |
-
-
|
| 28 |
|
| 29 |
-
๐น **Try
|
| 30 |
"""
|
| 31 |
|
| 32 |
-
|
| 33 |
-
|
| 34 |
-
"Great choice! Letโs use a **bar model**."
|
| 35 |
|
| 36 |
-
|
| 37 |
-
-
|
| 38 |
-
-
|
| 39 |
-
-
|
| 40 |
|
| 41 |
-
|
| 42 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 43 |
|
| 44 |
-
|
| 45 |
-
|
| 46 |
-
๐ก **Before I provide guidance, try answering these:**
|
| 47 |
-
- **How can you divide the bar into equal parts?**
|
| 48 |
-
- **If 60% is $1,500, how much would 10% be?**
|
| 49 |
|
| 50 |
-
|
| 51 |
"""
|
| 52 |
|
| 53 |
-
|
| 54 |
-
|
| 55 |
-
|
| 56 |
-
|
| 57 |
-
|
| 58 |
-
|
| 59 |
-
|
| 60 |
-
|
| 61 |
-
|
| 62 |
-
-
|
| 63 |
-
|
| 64 |
-
|
| 65 |
-
|
| 66 |
-
๐ **Calculating the Total Investment**
|
| 67 |
-
Since Orrinโs $1,500 represents **60%**, we can set up the proportion:
|
| 68 |
-
\\[
|
| 69 |
-
\\text{Total Investment} = \\frac{1500}{0.6}
|
| 70 |
-
\\]
|
| 71 |
-
Solving for total investment:
|
| 72 |
-
\\[
|
| 73 |
-
\\text{Total Investment} = 2500
|
| 74 |
-
\\]
|
| 75 |
-
|
| 76 |
-
๐ **Conclusion:**
|
| 77 |
-
The total investment made by Orrin and Damen together is **$2,500**.
|
| 78 |
-
|
| 79 |
-
๐ก **Reflection:**
|
| 80 |
-
- "How did the bar model help your understanding?"
|
| 81 |
-
๐ **Would you like to try another method, such as a Double Number Line?**
|
| 82 |
"""
|
| 83 |
|
| 84 |
-
|
| 85 |
-
|
| 86 |
-
"Now, letโs try solving using a **double number line**."
|
| 87 |
|
| 88 |
-
|
| 89 |
-
-
|
| 90 |
-
-
|
|
|
|
| 91 |
|
| 92 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 93 |
"""
|
| 94 |
|
| 95 |
-
|
| 96 |
-
|
| 97 |
-
|
| 98 |
-
|
| 99 |
-
|
| 100 |
|
| 101 |
-
๐ก **
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 102 |
"""
|
| 103 |
|
| 104 |
-
|
| 105 |
-
|
| 106 |
-
|
| 107 |
-
|
| 108 |
-
|
| 109 |
-
|
| 110 |
-
|
| 111 |
-
|
| 112 |
-
|
| 113 |
-
|
| 114 |
-
|
| 115 |
-
|
| 116 |
-
|
| 117 |
-
|
| 118 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
| 119 |
"""
|
| 120 |
|
| 121 |
-
|
| 122 |
-
|
| 123 |
-
"Now, letโs
|
| 124 |
|
| 125 |
-
๐ก **
|
| 126 |
-
|
| 127 |
-
|
| 128 |
|
| 129 |
-
|
| 130 |
"""
|
| 131 |
|
| 132 |
-
|
| 133 |
-
|
| 134 |
-
|
| 135 |
-
|
| 136 |
-
|
| 137 |
-
|
| 138 |
-
-
|
|
|
|
|
|
|
| 139 |
|
| 140 |
-
๐ก **
|
| 141 |
"""
|
| 142 |
|
| 143 |
-
|
| 144 |
-
|
| 145 |
-
|
| 146 |
-
|
| 147 |
-
|
| 148 |
-
|
| 149 |
-
|
| 150 |
-
|
| 151 |
-
|
| 152 |
-
60x = 1500 \\times 100
|
| 153 |
-
\\]
|
| 154 |
-
Divide both sides by **60**:
|
| 155 |
-
\\[
|
| 156 |
-
x = 2500
|
| 157 |
-
\\]
|
| 158 |
-
|
| 159 |
-
๐ **Conclusion:**
|
| 160 |
-
The total investment is **$2,500**.
|
| 161 |
-
|
| 162 |
-
๐ก **Reflection:**
|
| 163 |
-
- "Which methodโBar Model, Double Number Line, or Equationโhelped you most?"
|
| 164 |
-
๐ **Now, letโs reflect on the **Common Core practices** we used.**
|
| 165 |
"""
|
| 166 |
|
| 167 |
-
|
|
|
|
|
|
|
| 168 |
|
| 169 |
-
|
| 170 |
-
|
| 171 |
-
|
| 172 |
-
|
| 173 |
-
|
| 174 |
-
โ
**Common Core and creativity-directed discussions included.**
|
| 175 |
|
| 176 |
-
This version ensures teachers **actively engage in reasoning** instead of passively receiving solutions. Let me know if any **further refinements** are needed! ๐
|
|
|
|
| 1 |
MAIN_PROMPT = """
|
| 2 |
+
### **Module 4: Proportional Thinking with Percentages**
|
| 3 |
+
#### **Task Introduction**
|
| 4 |
+
"Welcome to this module on proportional reasoning with percentages!
|
| 5 |
+
Your task is to solve the following problem using different representations and connect the proportional relationship to the meaning of the problem."
|
| 6 |
|
| 7 |
+
**Problem Statement:**
|
| 8 |
Orrin and Damen decided to invest money in a local ice cream shop. Orrin invests **$1,500**, which is **60%** of their total investment.
|
| 9 |
+
**How much do Orrin and Damen invest together?**
|
| 10 |
|
| 11 |
+
Solve the problem using **any representation** (e.g., **bar model, double number line, or equations**).
|
| 12 |
+
๐ก **Before I help, I encourage you to explain your reasoning first.**
|
| 13 |
+
|
| 14 |
+
---
|
| 15 |
+
### ๐ **Choose a Representation**
|
| 16 |
+
"Which method would you like to use first?"
|
| 17 |
1๏ธโฃ **Bar Model**
|
| 18 |
2๏ธโฃ **Double Number Line**
|
| 19 |
+
3๏ธโฃ **Equation and Proportional Relationship**
|
| 20 |
+
---
|
|
|
|
|
|
|
| 21 |
"""
|
| 22 |
|
| 23 |
+
BAR_MODEL_PROMPT = """
|
| 24 |
+
### ๐ **Solving with a Bar Model**
|
| 25 |
+
Great! Youโve chosen the **bar model** approach.
|
| 26 |
+
|
| 27 |
+
๐น **Before I provide hints, please explain how you plan to solve it using a bar model.**
|
| 28 |
|
| 29 |
+
๐ก **Some guiding questions to consider:**
|
| 30 |
+
- How can you represent 100% of the total investment using a bar?
|
| 31 |
+
- How would you divide the bar into proportional parts?
|
| 32 |
+
- How does Orrinโs 60% investment fit into the model?
|
| 33 |
|
| 34 |
+
๐น **Try explaining first! Then, if needed, I will guide you.**
|
| 35 |
"""
|
| 36 |
|
| 37 |
+
BAR_MODEL_HINTS = """
|
| 38 |
+
๐น **If you're unsure, letโs break it down step by step.**
|
|
|
|
| 39 |
|
| 40 |
+
**Step 1: Drawing the Bar Model**
|
| 41 |
+
- Draw a **horizontal bar** representing the total investment (100%).
|
| 42 |
+
- Divide the bar into **10 equal parts**, where each part represents **10%** of the total investment.
|
| 43 |
+
- Shade **6 parts** (since 60% = Orrinโs $1,500).
|
| 44 |
|
| 45 |
+
**Step 2: Finding the Value of One Part**
|
| 46 |
+
- Since 60% corresponds to $1,500, we divide by **6** to find 10%:
|
| 47 |
+
\[
|
| 48 |
+
\frac{1500}{6} = 250
|
| 49 |
+
\]
|
| 50 |
+
- Multiply by **10** to get 100% (the total investment):
|
| 51 |
+
\[
|
| 52 |
+
250 \times 10 = 2500
|
| 53 |
+
\]
|
| 54 |
|
| 55 |
+
**Step 3: Conclusion**
|
| 56 |
+
- The **total investment** made by Orrin and Damen together is **$2,500**.
|
|
|
|
|
|
|
|
|
|
| 57 |
|
| 58 |
+
๐ก **Would you like to check your reasoning or explore another method?**
|
| 59 |
"""
|
| 60 |
|
| 61 |
+
DOUBLE_NUMBER_LINE_PROMPT = """
|
| 62 |
+
### ๐ **Solving with a Double Number Line**
|
| 63 |
+
Great! Youโve chosen the **double number line** approach.
|
| 64 |
+
|
| 65 |
+
๐น **Before I provide hints, please explain how you plan to set up the number line.**
|
| 66 |
+
|
| 67 |
+
๐ก **Some guiding questions to consider:**
|
| 68 |
+
- How can you align percentages on one number line and dollars on another?
|
| 69 |
+
- What key values should you label (0%, 60%, 100%)?
|
| 70 |
+
- How can you use **10% steps** to find the total investment?
|
| 71 |
+
|
| 72 |
+
๐น **Try explaining first! Then, if needed, I will guide you.**
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 73 |
"""
|
| 74 |
|
| 75 |
+
DOUBLE_NUMBER_LINE_HINTS = """
|
| 76 |
+
๐น **If you're unsure, letโs break it down step by step.**
|
|
|
|
| 77 |
|
| 78 |
+
**Step 1: Set Up the Double Number Line**
|
| 79 |
+
- One line represents **percentages** (0%, 10%, 20%, ..., 100%).
|
| 80 |
+
- The other line represents **money** ($0, ?, ?, ..., Total Investment).
|
| 81 |
+
- Label **60%** as $1,500.
|
| 82 |
|
| 83 |
+
**Step 2: Finding the Value of 10%**
|
| 84 |
+
- Divide **$1,500 by 6** to find **10%**:
|
| 85 |
+
\[
|
| 86 |
+
\frac{1500}{6} = 250
|
| 87 |
+
\]
|
| 88 |
+
- Extend the number line by adding increments of $250.
|
| 89 |
+
|
| 90 |
+
**Step 3: Find 100% (Total Investment)**
|
| 91 |
+
- Multiply by 10:
|
| 92 |
+
\[
|
| 93 |
+
250 \times 10 = 2500
|
| 94 |
+
\]
|
| 95 |
+
|
| 96 |
+
๐ก **Would you like to verify your work or explore another method?**
|
| 97 |
"""
|
| 98 |
|
| 99 |
+
EQUATION_PROMPT = """
|
| 100 |
+
### ๐ **Solving with an Equation**
|
| 101 |
+
Great! Youโve chosen the **equation method**.
|
| 102 |
+
|
| 103 |
+
๐น **Before I provide hints, please explain how you plan to set up the equation.**
|
| 104 |
|
| 105 |
+
๐ก **Some guiding questions to consider:**
|
| 106 |
+
- How can you express 60% as a fraction or decimal?
|
| 107 |
+
- What equation represents the total investment?
|
| 108 |
+
- How do you solve for the unknown value?
|
| 109 |
+
|
| 110 |
+
๐น **Try explaining first! Then, if needed, I will guide you.**
|
| 111 |
"""
|
| 112 |
|
| 113 |
+
EQUATION_HINTS = """
|
| 114 |
+
๐น **If you're unsure, letโs break it down step by step.**
|
| 115 |
+
|
| 116 |
+
**Step 1: Setting Up the Equation**
|
| 117 |
+
- Express **60% as a fraction**:
|
| 118 |
+
\[
|
| 119 |
+
0.6 \times \text{Total Investment} = 1500
|
| 120 |
+
\]
|
| 121 |
+
- Solve for **Total Investment**:
|
| 122 |
+
\[
|
| 123 |
+
\text{Total Investment} = \frac{1500}{0.6}
|
| 124 |
+
\]
|
| 125 |
+
|
| 126 |
+
**Step 2: Solve for Total Investment**
|
| 127 |
+
\[
|
| 128 |
+
\frac{1500}{0.6} = 2500
|
| 129 |
+
\]
|
| 130 |
+
|
| 131 |
+
๐ก **Would you like to check your work or try another representation?**
|
| 132 |
"""
|
| 133 |
|
| 134 |
+
REFLECTION_PROMPT = """
|
| 135 |
+
### ๐น **Reflection & Discussion**
|
| 136 |
+
"Great work! Now, letโs reflect on what we learned."
|
| 137 |
|
| 138 |
+
๐ก **How did each method (bar model, number line, equation) help in solving the problem?**
|
| 139 |
+
๐ก **Which method did you find the most intuitive? Why?**
|
| 140 |
+
๐ก **How might different students benefit from different representations?**
|
| 141 |
|
| 142 |
+
๐ **Letโs connect this to teaching strategies!**
|
| 143 |
"""
|
| 144 |
|
| 145 |
+
COMMON_CORE_PROMPT = """
|
| 146 |
+
### ๐ **Common Core Standards Discussion**
|
| 147 |
+
"Letโs reflect on how this problem aligns with Common Core practices."
|
| 148 |
+
|
| 149 |
+
๐น **Which Common Core Standards did we cover?**
|
| 150 |
+
- **CCSS.MATH.CONTENT.6.RP.A.3** (Solving real-world problems using proportional reasoning).
|
| 151 |
+
- **CCSS.MATH.CONTENT.7.RP.A.2** (Recognizing proportional relationships).
|
| 152 |
+
- **CCSS.MATH.PRACTICE.MP1** (Making sense of problems & persevering).
|
| 153 |
+
- **CCSS.MATH.PRACTICE.MP4** (Modeling with mathematics).
|
| 154 |
|
| 155 |
+
๐ก **Which of these standards do you think applied most to the problem? Why?**
|
| 156 |
"""
|
| 157 |
|
| 158 |
+
CREATIVITY_DIRECTED_PROMPT = """
|
| 159 |
+
### ๐ **Creativity-Directed Practices Discussion**
|
| 160 |
+
"Throughout this task, we engaged in creativity-directed strategies, such as:
|
| 161 |
+
โ
Encouraging multiple solution methods.
|
| 162 |
+
โ
Using real-world contexts.
|
| 163 |
+
โ
Exploring connections between representations.
|
| 164 |
+
|
| 165 |
+
๐ก **Which of these strategies did you find most effective?**
|
| 166 |
+
๐ก **How do you think encouraging creativity helps students build deeper understanding?**
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 167 |
"""
|
| 168 |
|
| 169 |
+
PROBLEM_POSING_PROMPT = """
|
| 170 |
+
### ๐ **Problem-Posing Activity**
|
| 171 |
+
"Now, letโs take it a step further! Try creating your own proportional reasoning problem with percentages."
|
| 172 |
|
| 173 |
+
๐ก **Would you like to modify the ice cream shop problem or create something new?**
|
| 174 |
+
๐ก **How can students solve your problem using multiple representations?**
|
| 175 |
+
|
| 176 |
+
๐ **Once you're done, I can evaluate your problem and provide feedback!**
|
| 177 |
+
"""
|
|
|
|
| 178 |
|
|
|