Page 27 - NUMINO Challenge_K2
P. 27
Type Study Inverted Pyramids
Use the given rule to fill in with the correct numbers.
Rule
Write the smaller of the two numbers above.
69
6
269 8 4
Hidden Patterns of the Pascal’s Triangle
Numbers that are arranged in a triangle so that the number connecting two numbers above is the sum of
those two numbers is called a Pascal’s Triangle. The following patterns can be found in a Pascal’s Triangle.
In each row, the number is read the same forwards and backwards 1
(11, 121, 1331). 11 1
The sum of each row follows a pattern so that each row is two times 1
the sum of the previous row (1, 2, 4, 8, 16). 21 2 1
The sum of the numbers of each blue diagonal follows the Fibonacci
Sequence. 31 3 3 1
Students will be able to develop their ability to find patterns by 51 4 6 4 1
looking at various patterns as in the Pascal’s Triangle. 8 1 5 10 10 5 1
13 1 6 15 20 15 6 1
24 NUMINO Challenge K2
Use the given rule to fill in with the correct numbers.
Rule
Write the smaller of the two numbers above.
69
6
269 8 4
Hidden Patterns of the Pascal’s Triangle
Numbers that are arranged in a triangle so that the number connecting two numbers above is the sum of
those two numbers is called a Pascal’s Triangle. The following patterns can be found in a Pascal’s Triangle.
In each row, the number is read the same forwards and backwards 1
(11, 121, 1331). 11 1
The sum of each row follows a pattern so that each row is two times 1
the sum of the previous row (1, 2, 4, 8, 16). 21 2 1
The sum of the numbers of each blue diagonal follows the Fibonacci
Sequence. 31 3 3 1
Students will be able to develop their ability to find patterns by 51 4 6 4 1
looking at various patterns as in the Pascal’s Triangle. 8 1 5 10 10 5 1
13 1 6 15 20 15 6 1
24 NUMINO Challenge K2
