Resources for the Patterns in Pascal’s Triangle
Problem
Pascal’s Triangle Coloring Sheets
Download and print a blank triangle
pattern or a pattern with
values.
Modular Arithmetic
Modular
Arithmetic at http://www2.makingmath/mathtools/mod/mod.asp.
Divisibility at
http://www2.edc.org/mathproblems/problems/htmlProblems/nsDivisibility/nsDivisibility.asp.
Combinations and Permutations
Education Development Center, Inc., Mathematical Methods:
Topics in Discrete and Precalculus Mathematics (see http://www.itsabouttime.com/htmls/mm/mm.html
for information).
Consult a traditional Precalculus textbook’s chapters on
permutations and combinations.
Pascal’s Triangle
Pascal’s
Triangle at http://www2.makingmath/mathtools/pascal/pascal.asp
provides information on different ways to derive the triangle,
different properties and patterns within the triangle, and Internet
sites that generate pictures of the divisibility patterns for
further study.
Fractals
Work your way through Cynthia Lanius’ Fractal Lessons at
http://math.rice.edu/~lanius/frac and play with the Snowflake
Fractal Generator at
http://www.shodor.org/master/fractal/software/Snowflake.html
Spreadsheets (Excel Format) for Pascal’s Triangle
Explorations
CornerPascal.xls. Rows of the
triangle are diagonals of the spreadsheet (print it out and turn it
45°!).
1

1

1

1

1

2

3

4

1

3

6

10

1

4

10

20

SkewPascal.xls. Each row of
Pascal’s triangle is a row of the spreadsheet.
SkewPascalModN.xls. Same as the
above but with all values displayed mod n. Experiment with
different values of the modulus, n.
1 





1 
1 




1 
0 
1 



1 
1 
1 
1 


1 
0 
0 
0 
1 

1 
1 
0 
0 
1 
1 