In a large bowl, with your hands mix the ground beef with salt, black pepper, and 1/4 cup teriyaki sauce.
Shape into 5 large or 6 medium hamburgers
Spread 1 TBS of teriyaki sauce over each hamburger
Prepare your grill according to manufacturer's directions
Grill to doneness you prefer but at least 160 degrees internally, turning halfway and spreading additional TBS of teriyaki sauce over each hamburger
Spread 1/2 TBS of teriyaki sauce over each pineapple slice
minutes before hamburgers are done place on your grill the pineapple slice and onions
Place buns on the top level or outer side of your grill to toast lightly
Top hamburgers with cheese and let melt mostly
Remove everything from the grill
Spread generously mayonnaise and teriyaki sauce over the top bun
Layer bottom bun, onion, teriyaki cheeseburger, pineapple slice, and top bun
Devour