Exploring Pascal 
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1. 2. 
Choose any five colors.
Assign a different color 


3. 
Print a blank Pascal Triangle grid from
the student worksheets page.
Color the top three hexagons 

4. 
To determine the color of the next row of cells, look at the last row:


5.

The first few rows would be colored like this: When the grid has been completely colored, cut it out carefully along the edges. 


6.  Six identically colored triangles can be joined
to form a hexagon.
These constructions make great classroom or hall decorations. Looking at the center
point gives the 


7. 
By joining or slightly 
1.  Closure: A set S is closed under the operation * if whenever a and b are in S, a * b is in S.
For our coloring we defined a set of 5 colors and an operation defined by the chart.
It was necessary that our set be closed under the given operation. Why? 


2.  Identity Property:
There is a number 0, called the additive identity, such that 

3.  Inverse Property:
For every a, there is a number a, called the additive inverse, or
opposite, of a, 

4.  Commutative Property:
a + b = b + a 

5.  How does our set of colors compare to mod 5 arithmetic? 
See also Coloring Multiples (Intermediate Level).
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