Make your own Number Patterns
You can make your own number patterns using coins or matchsticks. Here is an example using coins:
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 |
 |
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| Size=1 | Size=2 | Size=3 | Size=4 |
|---|---|---|---|
| 1 Coin | 6 Coins | 15 Coins | 28 Coins |
How many coins would you need when Size=5 ?
Can you make a formula that will tell you how many coins are needed for any Size? For example Size=20? The formula may look something like
Coins = Size × Size + ...
(Note: There are lots of number patterns in Pascal's Triangle)