Question
Students will engage in collaborative brainstorming sessions to formulate specific, investigable questions that probe the fractal and combinatorial patterns within Pascal's Triangle, guiding their subsequent exploration and research.
Days 1 - 3
Pascal Fractal Encounter
Launch 60m
Question Quest Planning
Deliverable
Design
Students will collaboratively design simulations using mathematical software to systematically plan their investigation, ensuring methodology aligns with proving combinatorial and fractal properties in Pascal’s Triangle, while preparing for peer feedback sessions for critique and refinement.
Days 4 - 7
Investigation Design Blueprint
Deliverable
Fractal Background Review
Deliverable
Collect
Students will systematically collect data using computational tools to identify and record fractal patterns and combinatorial properties in Pascal’s Triangle, preparing for upcoming analysis through comprehensive note-taking and digital documentation, while leveraging peer feedback for data clarity.
Days 8 - 11
Data Methods Essentials Quiz
Assessment 40m
Analyze
Students will analyze collected data and insights to decode fractal and combinatorial patterns within Pascal’s Triangle, using peer feedback to refine their proofs and innovative models, while documenting reflections on their methodology and discoveries.
Days 12 - 16
Analyze Data Patterns
Deliverable
Draft Preliminary Findings
Deliverable
Conclude
Students will synthesize their mathematical discoveries by articulating conclusive statements, acknowledge the boundaries of their findings, reflect on peer feedback, and prepare for their final presentations at the 'Math and Art Symposium.'
Days 17 - 20
Investigation Reflection Journal
Deliverable
Fractal Pascal Symposium
Assessment 2m