You can cut a handful of strokes off your score if you can consistently draw the ball, instead of chopping across and slicing it.
In fact, if you had to set one goal for yourself, learning to curve the ball from left-to-right would be a good choice. You'll derive more distance from more roll, and your shots will fly on a lower, more boring trajectory. The information you need to change the shape of your shots -- and your game -- follows.
BASICS
A draw starts to the left, then curves back to the right. It's generally lower and rolls more than a slice because there's less backspin. To hit the draw, your club must travel from inside the target line on the downswing, make impact with a square clubface, and continue outside the target line on the follow-through. This is called an "in-to-out swing," swinging from the inside," or "swinging on an inside path."
The clubface must be square to the target line at impact for the draw to occur: If it points to the left, a push will result: if it points to the right, the result is a shot curving too far left of the target, a hook.
LEARN FROM SQUARE STANCE
Some teachers advocate aiming your body to the left of the target and swinging along the line of your alignment to draw the ball. This can work, but you'll be more consistent if you learn to aim directly at the target and draw the ball by swinging on an inside path. That way you can stick with the same setup for all full shots.
The accompanying drill will help you learn the inside path and develop a draw.
DRILL: TEACH YOURSELF THE INSIDE PATH
Put three tees in the ground in a straight line, three inches apart. Do the same thing two feet behind the first line so all the tees line up. Then, tee up a ball between the two lines. You should have a rectangle of tees with your ball in the middle. Hit a few shots normally, noticing where your club enters the rectangle, and where it leaves. If you slice, it will enter on the upper left and leave on the lower right.
Now, train yourself to hit the draw: Tee the ball again, and make half-swings with a 7-iron, making sure the club enters the rectangle over the lower left tee and leaves over the upper right. Don't worry about where the ball goes; just trace the inside path. When you've got the half-swings down, gradually increase the size of your swing untill they're full, and watch the ball draw.