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Contents
Pascal's Triangle
4-Week Curriculum Outline
Michael Brauwerman
HGSE T-400 Final Project
Professor Vito Perrone
May 31, 1999
Contents
Lesson Plans: The First Two Weeks
Introduction: "More Than One Nice Thing"
Organization: Planning an Analysis of the Triangle
Geometric Exploration: Patterns in the Triangle
Mathematical Foundation: Modular Arithmetic
Another Point of View: Plinko!
Mathematical Foundation: Combinatorics
Abstraction and Application: Reinterpreting "Paths"
Algebraic Exploration: Finding Patterns in Triangle
Mathematical Foundation: Number Bases
Computer Programming: Converting Bases
Lesson outline: The Next Two Weeks
Formalizing Recursion and Induction
From Pascal to Sierpinski
Appendix
Pascal's Triangle
Table of Contents for Pascal's Triangle Notebook
PLINKO! Board
Pascal's Triangle, mod 2
Pascal's Triangle, mod 10
Pascal's Triangle Geometry Sketches
Perl Script to Generate Pascal's Triangle
Perl Script to Generate Pascal's Triangle mod 2
About this document ...
Michael Brauwerman
1999-05-31
