Question
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
Design
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
Collect
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
Analyze
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
Conclude
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
Question
Days 1–3
Day 1
Pascal Fractal Encounter
Launch
60m
Day 2
Question Quest Planning
Deliverable
Day 3
Design
Days 4–7
Day 4
Investigation Design Blueprint
Deliverable
Day 5
Day 6
Fractal Background Review
Deliverable
Day 7
Collect
Days 8–11
Day 8
Day 9
Day 10
Day 11
Data Methods Essentials Quiz
Assessment
40m
Analyze
Days 12–16
Day 12
Analyze Data Patterns
Deliverable
Day 13
Day 14
Draft Preliminary Findings
Deliverable
Day 15
Day 16
Conclude
Days 17–20
Day 17
Day 18
Day 19
Investigation Reflection Journal
Deliverable
Day 20
Fractal Pascal Symposium
Assessment
2m
September 2026
Mon
Tue
Wed
Thu
Fri
28
Day 1
Question
Pascal Fractal Encounter
29
Day 2
Question Quest Planning
30
Day 3
1
Day 4
Design
Investigation Design Blueprint
2
Day 5
October 2026
Mon
Tue
Wed
Thu
Fri
5
Day 6
Fractal Background Review
6
Day 7
7
Day 8
Collect
8
Day 9
9
Day 10
12
Day 11
Data Methods Essentials Quiz
13
Day 12
Analyze
Analyze Data Patterns
14
Day 13
15
Day 14
Draft Preliminary Findings
16
Day 15
19
Day 16
20
Day 17
Conclude
21
Day 18
22
Day 19
Investigation Reflection Journal
23
Day 20
Fractal Pascal Symposium