Drawing a feathered dinosaur requires little more than some paper and a pencil. I happen to be a fan of the mighty mechanical pencil, myself. If you're curious how all the dinosaurs suddenly turned into poofy turkeys, this post by djublonskopf is a readable, comprehensive guide to dinosaur feathers and scales.
Step 1: Shapes
Shapes are your friends when it comes to drawing dinosaurs or whatever you're drawing. And I have the habit of drawing dinosaurs without feathers first. (Naughty, naughty, I know.) This dromaeosaur will be a small raptorian sort of thing, but of course, you can decorate him any way you like.
Step 2: Some Feathers
Feathers are the first step. If you have ever had the chance to examine a bird, you'll find that when it comes to body mass, many of them are much smaller than you'd think. Feathers create a lot of "poof." Experiment with plumage. Some of my favorites to reference are vultures and eagles.
Step 3: More Feathers
Feathers lay in layers, and you can play with shadows to make them appear to lift and twist. I've also decided to show a bit of teeth to add to the smirk, he he.
Step 4: Even More Feathers
If you look at the chin line difference between Step 3 above and this image, you'll see the little feathers added to give this dinosaur the look of a ruffled parrot. Could there have been a strong chin with no feathers? Sure!
Step 5: Revenge of the Feathers!
That's enough feathers for now, I quite agree.
Step 6: Shading
I know, shading, that's a scary word to some artists. Fear not! Light source is good for you. It, um, builds character or something. And this is all in pencil, so if you don't like something, no worries, you can always erase it. For example, in Step 4, there was a strong shadow over the eye. Two seconds with an eraser, and you'll see that this "how to draw dinosaur tutorial" is improved!
Step 7: More Pencil Sketch
Even if the museum wants a white dinosaur, I rarely ever use a true white. Most things just aren't truly bright white. This feathered dinosaur I've decided is darker anyway, so I'm going to quickly colour in his plumage and darken some shadows.
Step 8: Finish
Check it out! In the time it took me to watch a BBC Top Gear rerun, we have a cute, feathered theropod that the museum director is going to fall in love with and insist everyone get a huge raise. OK, actually, that second part never happens, (not because our director isn't awesome, more because that's not how raises work,) the point is, its wicked fun drawing raptors. Cheers!