HEre is the Royal Caribbean "kids" activities I copied from Cruisemates:
ROYAL CARIBBEAN INTERNATIONAL "ADVENTURE OCEAN PROGRAM"
Ships: Adventure of the Seas, Enchantment of the Seas, Explorer of the Seas, Grandeur of the Seas, Majesty of the Seas, Monarch of the Seas, Nordic Empress, Radiance of the Seas, Rhapsody of the Seas, Sovereign of the Seas, Splendor of the Seas, Vision of the Seas, Voyager of the Seas, Navigator of the Seas
Destinations: Caribbean, Bermuda, Bahamas, Mexico, Alaska, Europe, Hawaii, Australia/New Zealand, South America
Groups: Aquanauts 3 - 5; Explorers 6 - 8, Voyagers 9 -11, Navigators 12 - 14; Teens 15 - 17.
Counselors: Three to six per cruise.
Hours: For 3-11 year olds: 9:30 a.m.-Noon; 2-5 p.m.; 7-10 p.m. For 12-14 year olds: Times vary for day activities; evening hours 10 p.m. to 1:30 a.m. For 15-17 year olds: Times vary for day activities; evening hours 10 p.m. to 3 a.m.
Cool Teen Stuff: Teen discos/private clubs featured on all ships except Nordic Empress, Sovereign of the Seas, Viking Serenade. An Adventure Ocean Potion card allows children up to 18 to buy 12 non-alcoholic drinks, including mocktails, for $24.95 at the teen bar. Supervised activities are available on RCI's private islands, Labadee and CocoCay.
Parent Savers: Parents can leave their children at Adventure Ocean while they take shore excursions. For this purpose, the facilities open 30 minutes ahead of morning shore excursion departures. Group babysitting is available from 10 p.m. to 1 a.m. for $5 an hour per child. Individual babysitting offered from 8 a.m. to 2 a.m. for children six months to 10 years; fee is $8 per hour with a two-hour minimum. Cribs: Limited, request at booking time. On three nights during a seven-day cruise, children can eat with counselors from 6 to 7 p.m.
Not available: Strollers
Kids' Shore Excursions: Supervised activities available in Labadee and CocoCay, Royal Caribbean's private island.
Rates: Third- and fourth-passenger occupancy rates range from $449 to $999 and are applicable to children sharing a cabin with two adults.
Noteworthy Features: Adventure, Enchantment, Explorer, Grandeur, Legend, Radiance, Splendor, Vision, and Voyager of the Seas have the largest cabins in RCI's fleet, plus family suites. All ships offer Adventure Science, which is a fun, hands-on learning program.
Wow! Factor: On the Adventure, Explorer, Radiance and Voyager of the Seas, unique kid-friendly activities include rock climbing, ice skating rink, basketball courts, roller-blading and a Johnny Rocket's concession at no extra cost. Extensive kids' pool and slide area (Adventure Beach) on Explorer, Voyager and Radiance of the Seas. Explorer of the Seas has an atmospheric and oceanographic lab where parents and children can tour and participate in interactive sessions with scientists aboard ship.
I don't think you will lack for activities on your cruise. Just be sure to attend the first meeting with your age group, I'm sure you'll find others your age to hang around with for the week, have fun!