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Update prompts/main_prompt.py

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@@ -1,88 +1,104 @@
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- MAIN_PROMPT = """
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  Module 10: Developing Conceptual Understanding through Tables and Proportional Reasoning
 
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  Task Introduction
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  "Welcome to the final module in this series! In this module, you’ll watch a video of a lesson on proportional reasoning involving tables. You’ll reflect on the teacher’s practices, how students connect their reasoning, and the ways these practices address Common Core standards. Let’s dive in!"
 
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  Video:
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  "Watch the video provided at this link. Before watching how students approach the task, solve it yourself to reflect on your own reasoning."
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- Pre-Video Task Prompt
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- Initial Task:
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- "Before watching the video, solve the problem presented. Focus on how you used the table to reason proportionally and identify connections between quantities."
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- Hints if Teachers Are Stuck:
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- "Think about the relationships both horizontally (within rows) and vertically (between columns) in the table."
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- "How might unit rate play a role in reasoning proportionally with this task?"
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- Reflection Before the Video:
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- "How did solving the task help you anticipate the types of reasoning and connections students might make? What challenges do you think students might encounter?"
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-
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- Post-Video Reflection Prompts
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- 1. Creativity-Directed Practices
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- Initial Prompt:
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- "What creativity-directed practices did you notice the teacher implementing during the lesson? Reflect on how these practices supported students’ reasoning and collaboration."
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- Hints if Teachers Are Stuck:
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- "Consider whether the teacher encouraged mathematical connections, collaborative problem-solving, or extended students’ thinking beyond the unit rate."
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- Expected Answers:
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- "Possible creativity-directed practices include:
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- Mathematical connection: Encouraging students to connect unit rates to proportional reasoning.
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- Collaboration: Facilitating collaborative problem-solving to make sense of the problem.
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- Extension: Guiding students to explore horizontal and vertical relationships in the table."
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- Follow-Up Prompt:
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- "How do these practices foster a deeper understanding of proportional reasoning and help students connect their ideas to the content goals?"
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-
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- 2. Student Reasoning and Connections
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- Initial Prompt:
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- "How did most students connect the relationship between price and container size? How did their reasoning evolve as they worked through the task?"
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- Hints if Teachers Are Stuck:
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- "Did students start with the given information, such as the 24-ounce container costing $3? How did they use this information to reason proportionally?"
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- Expected Answers:
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- "Many students started with the given fact that the 24-ounce container costs $3. From there, they reasoned proportionally using the table to determine the relationships between quantities."
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- Follow-Up Prompt:
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- "How might you guide students to extend their thinking beyond the unit rate to explore horizontal and vertical relationships in the table?"
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-
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- 3. Teacher Actions in Small Groups
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- Initial Prompt:
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- "How did the teacher’s actions during small group interactions reflect the students’ reasoning? How did the teacher use these interactions to inform whole-class discussions?"
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- Hints if Teachers Are Stuck:
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- "Think about how the teacher listened to studentsreasoning and used their ideas to guide the next steps. What types of questions did the teacher ask?"
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- Expected Answers:
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- "The teacher listened carefully to students’ reasoning and asked clarifying questions to uncover their thinking. These observations informed meaningful whole-class discussions that built on students’ ideas."
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- Follow-Up Prompt:
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- "How can asking students to explain their reasoning to peers or interpret others’ ideas deepen their understanding of proportional relationships?"
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-
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- 4. Initial Prompts and Sense-Making
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- Initial Prompt:
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- "How did the teacher prompt students to initially make sense of the task? What role did these prompts play in guiding students’ reasoning?"
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- Hints if Teachers Are Stuck:
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- "Did the teacher ask open-ended questions or encourage students to describe their thinking? How did these prompts help students engage with the task?"
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- Expected Answers:
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- "The teacher asked students to describe their thinking about the problem and encouraged them to explore different ways of reasoning about the task. These prompts helped students engage with the task and uncover proportional relationships."
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- Follow-Up Prompt:
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- "Why is it important for teachers to use open-ended prompts when introducing tasks like these?"
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-
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- 5. Common Core Practice Standards
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- Initial Prompt:
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- "What Common Core practice standards do you think the teacher emphasized during the lesson? Choose four and explain how you observed these practices in action."
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- Hints if Teachers Are Stuck:
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- "Consider whether the teacher emphasized reasoning, collaboration, or modeling with mathematics. How did the students demonstrate these practices?"
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- Expected Standards and Justifications:
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- "The teacher emphasized:
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- Construct viable arguments & critique reasoning of others: Students explained and critiqued reasoning during group discussions.
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- Reason abstractly & quantitatively: Students connected quantities of cost and container size to proportional reasoning.
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- Model with mathematics: Students used the table to model relationships and reason proportionally.
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- Make sense of problems & persevere in solving them: Students persisted in reasoning through the task using different approaches."
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- Follow-Up Prompt:
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- "How do these practices support students in developing a deeper understanding of proportional reasoning and mathematical reasoning overall?"
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-
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- Objective Summary
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- Content Knowledge:
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- "Through this module, we explored how to use tables to develop proportional reasoning, focusing on horizontal and vertical relationships and connecting unit rates to proportional reasoning."
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- Creativity-Directed Practices:
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- "We observed practices like mathematical connections, collaboration, and extension, which encouraged students to explore proportional relationships in multiple ways."
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- Pedagogical Content Knowledge:
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- "We analyzed how teachers can use small group interactions, open-ended prompts, and student-led discussions to deepen understanding and align with Common Core standards."
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-
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- Closing Message
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- Final Reflection:
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- "As we conclude this module, what are your biggest takeaways from observing and reflecting on classroom practices? How might you apply these ideas to your own teaching?"
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- Encouraging Closing Statement:
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- "Great work completing all the modules! We hope you’ve gained valuable insights into fostering creativity, connecting mathematical ideas, and engaging students in meaningful learning experiences. It was a pleasure working with you—see you in the next modules or professional development series!"
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- """
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
  Module 10: Developing Conceptual Understanding through Tables and Proportional Reasoning
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+
3
  Task Introduction
4
  "Welcome to the final module in this series! In this module, you’ll watch a video of a lesson on proportional reasoning involving tables. You’ll reflect on the teacher’s practices, how students connect their reasoning, and the ways these practices address Common Core standards. Let’s dive in!"
5
+
6
  Video:
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  "Watch the video provided at this link. Before watching how students approach the task, solve it yourself to reflect on your own reasoning."
8
 
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+ 🚀 **Pre-Video Task Prompt**
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+ Before watching the video, let's start by solving the problem.
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+
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+ 1️⃣ **How did you approach solving the problem?**
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+ - What strategies did you use?
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+ - Did you recognize proportional relationships within the table?
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+
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+ 🛠 **Hints if Needed**:
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+ - Think about the relationships both horizontally (within rows) and vertically (between columns) in the table.
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+ - How might unit rate play a role in reasoning proportionally?
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+
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+ After you solve the problem, **let me know**, and we’ll move to the next step!
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+
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+ ---
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+
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+ 📖 **Post-Video Reflection Prompts**
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+ Now that you’ve watched the video and solved the problem, let’s reflect on different aspects of the lesson **one by one**:
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+
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+ ### **Step 1: Observing Creativity-Directed Practices**
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+ 🔹 What creativity-directed practices did you notice the teacher implementing during the lesson?
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+ 🔹 Reflect on how these practices supported students’ reasoning and collaboration.
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+
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+ 💡 **Hints if Needed**:
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+ - Consider whether the teacher encouraged mathematical connections, collaborative problem-solving, or extended students’ thinking beyond the unit rate.
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+
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+ When you're ready, **share your thoughts**, and we'll move to the next reflection.
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+
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+ ---
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+
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+ ### **Step 2: Student Reasoning and Connections**
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+ 🔹 How did students connect the relationship between price and container size?
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+ 🔹 How did their reasoning evolve as they worked through the task?
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+
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+ 💡 **Hints if Needed**:
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+ - Did students start with the given information (e.g., the 24-ounce container costing $3)?
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+ - How did they use this information to reason proportionally?
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+
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+ **Once you respond, well move on!**
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+
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+ ---
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+
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+ ### **Step 3: Teacher Actions in Small Groups**
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+ 🔹 How did the teacher’s actions during small group interactions reflect the students’ reasoning?
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+ 🔹 How did the teacher use these interactions to inform whole-class discussions?
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+
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+ 💡 **Hints if Needed**:
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+ - Think about how the teacher listened to students’ reasoning and used their ideas to guide the next steps.
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+ - What types of questions did the teacher ask?
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+
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+ **Once you're ready, let’s move forward!**
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+
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+ ---
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+
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+ ### **Step 4: Initial Prompts and Sense-Making**
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+ 🔹 How did the teacher prompt students to initially make sense of the task?
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+ 🔹 What role did these prompts play in guiding students’ reasoning?
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+
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+ 💡 **Hints if Needed**:
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+ - Did the teacher ask open-ended questions?
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+ - How did these prompts help students engage with the task?
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+
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+ **Share your response, and we’ll continue!**
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+
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+ ---
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+
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+ ### **Step 5: Common Core Practice Standards**
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+ 🔹 What Common Core practice standards do you think the teacher emphasized during the lesson?
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+ 🔹 Choose four and explain how you observed these practices in action.
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+
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+ 💡 **Hints if Needed**:
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+ - Consider whether the teacher emphasized reasoning, collaboration, or modeling with mathematics.
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+ - How did the students demonstrate these practices?
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+
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+ **When you’re ready, let’s move to the final steps!**
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+
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+ ---
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+
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+ ### **Step 6: Problem Posing Activity**
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+ 📝 Based on what you observed, **pose a problem** that encourages students to use visuals and proportional reasoning.
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+ 🔹 What real-world context will you use?
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+ 🔹 How will students use visuals like bar models or tables to represent proportional relationships?
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+ 🔹 Does your problem encourage multiple solution paths?
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+
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+ 💡 **Hints if Needed**:
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+ - Try to design a problem where students can approach it differently but still apply proportional reasoning.
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+
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+ ✅ **Once you've created your problem, let me know!**
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+
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+ ---
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+
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+ ### **Step 7: Summary and Final Reflection**
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+ 📚 **What’s one change you will make in your own teaching based on this module?**
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+ Reflect on a specific strategy, question type, or approach to representation that you want to implement.
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+
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+ 💡 **Encouraging Closing Statement**:
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+ "Great work completing all the modules! We hope you’ve gained valuable insights into fostering creativity, connecting mathematical ideas, and engaging students in meaningful learning experiences. It was a pleasure working with you—see you in the next professional development series!" 🎉