EMM418 - Mathematics: Content and Pedagogy

Assignment Task 

1. Identify the Rules: For each of the three patterns, identify the rules or constraints that make them work. Explain your reasoning.

2. Create New Arrangements: Invent your own 3x3 tile arrangements following one of the three patterns (Magic Square, Product Puzzle, or Symmetrical Stars). Verify that they work.

3. Star Seeker: Experiment with different tile arrangements to discover new symmetrical star patterns. Explain the rules that lead to star formations.

Questions

1. How can you distribute the 60 goodies among the guests so that each person receives a prime number of goodies?

2. Could you complete these tasks without an explanation from the author If not, what prevented you from doing so?

3. How long did the tasks take you to solve?

4. What mathematics is required in order to complete these tasks In other words, what will the children need to know?

5. What syllabus outcome(s) could this investigation & extension task address?

6. Is there another way you could have solved either task?

7. What do you think the author will need to consider when preparing this investigation-based lesson plan for assessment item 3?

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