When played “in order”, the Season 5 adventures jump around between tiers. Each tier has its own storyline, so you can play each tier in order. Each storyline is mostly distinct and unrelated.
Below, are the adventures separated by tier.
DDAL05-01 Treasures of the Broken Hoard
DDAL05-02 The Black Road
DDAL05-03 Uninvited Guests
DDAL05-06 Beneath the Fetid Chelimber
DDAL05-07 Chelimber's Descent
DDAL05-10 Giant Diplomacy
DDAL05-12 Bad Business in Parnast
DDAL05-16 Parnast Under Siege
DDAL05-04 In Dire Need
DDAL05-05 A Dish Best Served Cold
DDAL05-11 Forgotten Traditions
DDAL05-13 Jarl Rising
DDAL05-17 Hartkiller's Horn