Pascal’s Hearts
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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? Explain your thinking using numbers, words and/or pictures.
1
1
1
Pascal's Hearts
2
1
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Pascal’s Hearts
Row 1: sum = 1 or 20
1
1
1
1
1
1
6
1
1
7
21
3
10
15
35
35
1
5
10
20
Row 2: sum = 8 or 23
1
4
6
15
Row 2: sum = 4 or 22
1
3
5
1
2
4
Row 2: sum = 2 or 21
Row 2: sum = 16 or 24
1
6
21
1
7
1
Row Pattern: sum doubles for each row.
General rule: sum = 2r-1 where r = row number.
Pascal's Hearts
1
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