                                                    # Featured

## Pascal's Triangle Patterns (Natural, Triangular, Tetrahedral, Square, Cubic, Powers of 11, Powers of 2, Fibonacci, Hockey Sticking, and Multiplying Seeds > 1

Last week the children were introduced to Pascal’s Triangle, its history and its properties.  They created their own Pascal’s Triangle and experimented with different seed numbers (the seed number of a traditional Pascal’s Triangle is 1; 1 is placed on the left and right diagonals of the triangle). You fill each cell with the sum of the two cells above it.

## Pascal's Triangle (all digits, last digit, and combinametrics)

Pascal's Triangle is created by starting with only 1s in each of the two perimeter diagonals of a triangular array. Fill in this array by adding the two numbers above each cell. The numbers start out small such as 1 2 1 on the second row and 1 3 3 1 on the third row and 1 4 6 4 1 on the fourth row but then they explode.

## Prime Pyramid

Prime Pyramid: Compete the pyramid by filling in the missing numbers on each row. Each row must contain the consecutive whole numbers from 1 to the row number but not necessarily in that order. In each row, the numbers from 1 to the row number are arranged such that the sum of any two adjacent numbers (neighboring numbers) is a prime number.

## Kakooma Sums, Products, Fractions and Create Your Own Kakooma

The rules for Kakooma are simple. Greg Tang developed this puzzle; I first heard him speak as a parent of elementary school children in 2002. Mr. Tang had a part in inspiring me to change my career to teach math. Subsequently, I attended one of his teach the teacher workshops.

## Conway Look and Say Sequence--Run Length Encoding

The Conway Sequence is a sequence of digits (also called Look-and-Say sequence) where each term is made of the reading of the digits (the number of consecutive digits) of the previous term. Conway created this sequence as a method of decoding called Run-Length Encoding.