Tally 2
Tally 2 is a quick way to count anything on your iPhone. Its design allows you to work without even looking at your phone. It supports multiple tallies, so you can keep to access history (game scores, etc). With Apple Watch support planned, Tally 2 would make a great app to use at the ball field, in the classroom, or on family game night. I've had the app for a week or so now, and it is a perfect example of a focused app that does exactly what it says it does (and does it well).
Tally 2 is free to download, and there is a $1.99 in app purchase. Get it on the App Store.