"Overgrown, abandoned, the inmates set free, madness could never be held in me."
To solve this, you'll need to scan Arkham Asylum, but finding it is tricky. Head to the western edge of the Falcone Shipping Antenna and zoom in while looking across the water to spot it.
"Hope shines brightly in a city this dark, find the source of that signal and you'll soon hit your mark."
Go to the roof of the GCPD Lockup, then find the corner tower with the Bat-Signal spotlight on it and scan to solve.
"A bat uses these to see at night, the doc's didn't work and his cure caused a fright."
Solved in Dr. Langstrom's lab. Once you start the Man-Bat mission, you'll be sent here. Scan the drawing on his whiteboard.
"I bet you weren't invited to this lavish do, I wonder how many went dress up as you?"
This is found inside the Clock Tower. Bust through the east-facing windows and head to the top floor. Check by the elevator shaft for this masquerade ball advertisement and scan it.
"She stands at our center that we may not weaken, a symbol of hope, a towering beacon."
This is an easy one. Glide to the tiny island in the center of the three main ones. Scan the large statue to solve.