This came up in a lesson today. I helped a student understand...
WIN - you win a game, match, trophy, or prize (focusing on the achievement)
- I hope we win the game.
- We are winning the game!
- YAY! We won the game!
BEAT - you beat an opponent or team (focusing on the person/team you defeated)
- We can beat the other team.
- We are beating them!
- YAY! We beat them
From these examples, you will see that both verbs are IRREGULAR verbs:
win > winning > won [past participle: won]
beat > beating > beat [past participle: beaten]