Dread Plate: On the 2nd floor, last room on the left in The Old Chateau
Earth Plate: In the Cave before the Oreburgh City down in the lower level
Fist Plate: Next to the Black-Belt Trainer in the middle section of Route 215
Flame Plate: At Stark Mountain, in the middle of a big room and on the western side of a pathway to a dead end
Icicle Plate: It's given to you when you talk to the guy again after you obtain HM08 behind his house on route 217
Insect Plate: On the right side of the Old Chateau, look for it on the walls
Iron Plate: At Iron Island in the room where you fought the 2 Glactics, go to the right side and you'll see a small pit and that's where it is.
Meadow Plate: It's next to a waterfall under a bridge on route 210
Mind Plate: In the last room of the Solaceon Ruins
Sky Plate: Near some flowers at the end of Victory Road on the left side
Splash Plate: On Route 219, surf down to a small island
Spooky Plate: In Amity Square(Hearthrome City where you can walk with your pokemon) go into one of the old ruin buildings and keep teleporting til you see an item and that's it
Stone Plate: In a cave In Mt. Coronet on the 4th floor. The cave has 2 orbs for both Palkia and Dialga and the plate is hidden on a rock or use the dowsing machine for help
Toxic Plate: In Area 2 of the Pastoria Great Marsh in the mud. Use the Dowsing Machine for help
Zap Plate: In front of the lighthouse by the cliff