Slater was then dropped at third slip before scoring and made the home side pay as he and Duckett added 146 in 32 overs.
Slater batted with increasing fluency, 52 of his 65 runs coming in fours, before Hannon-Dalby returned to unfurl a lovely away-cutter that took the edge through to wicketkeeper Michael Burgess.
That triggered the loss of three wickets for 15 runs as Will Young and Joe Clarke – having shared 397 runs in a record partnership against Somerset at Taunton last time out – managed just five between them after falling to the first and last balls of a Will Rhodes over, both sweet outswingers which were nicked to Burgess.
Duckett advanced to his 27th first-class century from 126 balls and found a solid partner in Haynes, who struck 11 fours in an attractive knock before the new ball brought another cluster of wickets.
Hannon-Dalby dismissed Haynes and Olly Stone either side of Hasan Ali claiming the scalps of Lyndon James and Calvin Harrison, leaving Nottinghamshire eight down and Duckett just short of his double century as bad light closed in.
