打羽毛球(dǎ yǔ máo qiú) - to play badminton in Mandarin

打羽毛球 (dǎ yǔ máo qiú) means to play badminton, from 打 (dǎ, to hit) and 羽毛球 (yǔ máo qiú, badminton, literally "feather-fur ball", a name for the shuttlecock that got applied to the whole sport). Racket sports in Mandarin generally take 打 (dǎ) rather than a dedicated verb, the same pattern as 打网球 (dǎ wǎng qiú), to play tennis.

你会打羽毛球吗 (nǐ huì dǎ yǔ máo qiú ma), "can you play badminton?", uses 会 (huì) for a learned skill rather than 能 (néng) for present ability, the usual choice for naming a sport someone has learned to play.

Do not shorten 羽毛球 (yǔ máo qiú) to just 球 (qiú, ball) when the sport needs to stay specific; 球 (qiú) alone is a generic stand-in that a listener has to work out from context, whereas the full compound names badminton unambiguously. 打羽毛球是一项很好的运动 (dǎ yǔ máo qiú shì yí xiàng hěn hǎo de yùn dòng), "playing badminton is a great sport", keeps the full term for exactly that reason.