Wii Sports Resort does not have bowling. The 12 sports in Resort (all requiring Wii MotionPlus) are:
Bowling is exclusively in the original Wii Sports (2006) — alongside Tennis, Baseball, Golf, Boxing. Both games are often bundled (Wii Sports + Wii Sports Resort on one disc for later Wii bundles), but they're separate titles.
Check your game case: Wii Sports Resort = no bowling. Wii Sports = bowling. They're different discs (or dual-pack).