All 9 Uses

approach
in
The Sea of Monsters
(Auto-generated)

My lunch approaches.
Chpt 2

approaches = comes near
The problem was that Tyson wanted to ride the "chicken ponies," too, but the pegasi got skittish whenever he approached.
Chpt 6 *

approached = got near
Before the race began, I tried to approach Annabeth and tell her about my dream.
Chpt 6

approach = get near
If any of us had tried to approach the Fleece, we would've been eaten alive, but I guess Tyson smelled like Polyphemus, because the flock didn't bother him at all.
Chpt 15
You tried the diplomatic approach.
Chpt 19 *

approach = technique (way of doing something)
Annabeth said as we approached the shoreline.†
Chpt 10
We are approaching the entrance.†
Chpt 11
We're approaching the island of the Sirens.†
Chpt 13
As we approached the island, jagged rocks loomed out of the fog.†
Chpt 13

Definitions:

(1) (approach as in: approached the city)
to get closer to (near in space, time, quantity, or quality)
(2) (approach as in: use the best approach)
a way of doing something; or a route that leads to a particular place
(3) (approach as in: approached her with the proposal)
to begin communication with someone about something -- often a proposal or a delicate topic
(4) (meaning too rare to warrant focus)
More rarely (and typically only in classic literature), the phrase nearest approach to as used in "her nearest approach to an apology" or "her nearest approach to a smile" typically means that "something is as close to something else as it ever gets." "As near an approach to" can have a similar meaning.