Add flank steak strips, teriyaki sauce and sesame oil to a zippered bag. Place in refrigerator to marinate for at least 30 minutes (up to overnight)
Add rice and 6 cups of water to a pot. Bring just to a boil then reduce heat to medium-low and cover pan. Let cook another 10 minutes or until all of the moisture had been absorbed. Leave lid on pot and remove from heat until ready to serve. NOTE: You can also just use a rice cooker.
In a frying pan or grill pan over medium-high heat, grill off the steak to about medium (still a little pink). Remove from heat.
Combine sauce ingredients with a whisk in a large measuring cup.
In an extra large saute pan over medium heat, add broccoli, onion, bamboo shoots, steak and sauce. Stir to combine. Cover with lid and let cook for 10 minutes. Stir and cook another 5 minutes. Once sauce has thickened, serve over a portion of cooked rice.
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