Dart Subtraction Strategy
The goal in this activity is to develop strategies for playing the Dart Subtraction Game. In this game, you throw two darts and find your score by subtracting the value of the second dart from the value of the first dart. It is possible  to land on the same value twice.
 
 
 
 
 
 1. What is the highest possible score? What would have to be the value of the first dart? the second dart?
 2. What is the lowest possible score? What would have to be the value of the first dart? the second dart?
 3. List all the ways to get a score of 4. There are 11 different possibilities.
 
 4. List all the ways to get a score of 6. −
 5. How many ways could you get a score of 0? a score of 14? a score of 14? −
 6. If you are trying to get the lowest score, should you try to land on a positive  or negative integer with your first dart? with your second dart? Explain your reasoning.
 7. Play the game with a partner for ten rounds. Use paper punches as your darts.  Hold your hand about 12 inches from the paper and drop the paper punches  onto the target. Record your score after each round. Add up the score from  each round to get your total score. Did you use any particular strategy?  Describe.