1

1

1 2

Pascal’s Hearts • Complete the pattern by filling in the missing numbers of

Pascal’s Heart Triangle. • What Pascal patterns help you fill in the missing numbers? • Add the numbers in each row. Describe the pattern. • CHALLENGE: What numbers would be in the 8th row? Ex-

plain your thinking using numbers, words and/or pictures.

Pascal's Hearts 1 Kawas@Mathwire.com

Pascal’s Hearts

1 2

1

1 1

1

1

1

1

1

3 3

4 4 6

1 1 5 5 10 10

1 6 6 1515 20

1 21 7 35 21 35

1

7 1

Row 1: sum = 1 or 20

Row 2: sum = 2 or 21

Row 2: sum = 4 or 22

Row 2: sum = 8 or 23

Row 2: sum = 16 or 24

Row Pattern: sum doubles for each row. General rule: sum = 2r-1 where r = row number.

Pascal's Hearts 1 Kawas@Mathwire.com