Primary students (K-2): shapes, counting, pattern
Intermediate students (3-5): shapes, number patterns
This is a famous number pattern named for the French mathematician, Blaise Pascal who discovered it. What's so amazing about Pascal's Triangle is that it contains so many other famous patterns within it. For example, the triangular numbers 1, 3, 6, 10 appear in two of the diagonals (see Triangular Numbers). Another pattern is the powers of 2 which are found when the numbers in each row are added: 1, 2, 4, 8, 16... Then there are the counting numbers along two of the diagonals. This website has done an amazing job of visually showing these and many other patterns.
"The bottom row's sum is always twice that of the row above."
"The second diagonal line is in order 1 - 5."
"The next row would have 15 and 20."
"It looks like on each level the two numbers there add up to the number below it."