Keep the pirates in the same groups as Activity 1 and equally distribute
the play coins to each group. Explain that each group should try to
determine as many ways as they can to make a dollar out of the coins.
Encourage them to be systematic in their thinking (i.e. starting with 1 coin
type, then 2, then 3, then 4 as in the table below). Have them write down
the coin combinations they come up with in their journals.
Here are some examples, but there are many more (with 3 and 4 coin
types):
1 Coin
Type
2 Coin Types
3 Coin Types
4 Coin Types
4 quarters
1 quarter +
75 pennies
1 quarter + 25 pennies + 1 quarter + 25 pennies + 8
10 nickels
nickels + 1 dime
10 dimes
1 quarter +
15 nickels
1 quarter + 50 pennies + 1 quarter + 25 pennies + 6
5 nickels
nickels + 2 dimes
20 nickels
2 quarters +
50 pennies
1 quarter + 25 pennies + 1 quarter + 25 pennies + 4
5 dimes
nickels + 3 dimes
100 pennies 2 quarters +
10 nickels
2 quarters + 25 pennies
+ 5 nickels
1 quarter + 25 pennies + 2
nickels + 4 dimes
2 quarters +
5 dimes
1 quarter + 5 nickels + 5 1 quarter + 50 pennies + 3
dimes
nickels + 1 dime
3 quarters +
25 pennies
1 quarter + 10 pennies + 1 quarter + 50 pennies + 1
13 nickels
nickel + 2 dimes
3 quarters +
5 nickels
1 quarter + 20 pennies + 2 quarters + 25 pennies +
11 nickels
3 nickels + 1 dime
When the crew has had a chance to come up with a number of coin
combinations, have them share their findings with the rest of the crew.
How many different combinations can they generate? Pirates can record
them is a table, if time allows.
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- Journals
- Play coins