MEAD

I've been taking lessons and am decently familiar with terminology. "Bridge the registers" is refering to the resonance of the head and chest registers. Lower notes vibrate more prominantly in the chest cavity and higher notes reach into the sinus cavity. When it says "bridge the registers" it just means to go between those two resonances smoothly. You should sing some low to mid notes and place your hand on your chest and see if you can feel the vibration, do likewise with some mid to high notes but place you fingers on the sides of the bridge of your nose.

One major thing that you must do is keep the back of your mouth open the "soft pallate" must be up for you get get a better range. To do this all you have to do is yawn, that "yawn" feeling is the soft pallate lifting.

Another note: When reaching for notes that seems high try not to tense up. Most of singing is mental. The hard parts of singing is getting through the mental blocks, you may find you can sing higher than you ever thought just beacuse your mind lets you. Again when hitting higher notes don't squeeze the neck muscles it will end up hurting your larynx afterward. And familiar yourself with your falsetteo voice, if you havent already, espesically if you want to sing songs by Radiohead or Coldplay.

I'll field anymore questions to the best of my ability.