Table 1.

Sample Key Words, Associated Operations, and Key Word Fails

Key word	Associated operation	Problem in which the key word strategy fails
altogether	addition	Alice bought 4 cartons of eggs with 12 eggs in each carton. How many eggs does Alice have altogether?
more	addition	Colin had some crayons. Then, he bought 12 more crayons. Now, he has 90 crayons. How many crayons did Colin have to start with?
fewer	subtraction	Paulo picked apples. Zach picked 12 fewer apples. If Zach picked 20 apples, how many apples did Paulo pick?
left	subtraction	Liz shared 55 candies equally with 3 friends. After sharing, how many candies were left over?
each	multiplication	Miles had 3 trays of building blocks with the same number of blocks on each tray. If Miles had 75 blocks altogether, how many were on each tray?
double	multiplication	Margaret bought double the songs as her sister. If Margaret bought 12 songs, how many songs did her sister buy?
share	division	Sal collected 18 quarters to share equally among his friends. After sharing, he had 3 quarters remaining. How many quarters did Sal share?
divide	division	Cam divided 5 pieces of paper into fourths. How many pieces of paper does Cam have now?