I used a square piece of paper two create both with a grid in the middle.
CARTESIAN COORDINATE PLANE
My students find the positive negative shorthand ordered pairs helpful. My students write them on assignments, quizzes, and tests.
The "left to right" and "bottom to top" method has been the best approach I could find for domain and range. Another hands on technique we use is the box method.
We use post-its, foam squares, or colored paper squares to physically box in the boundaries of the funciton. If it has an arrow, you can not contain it. Then I bridge them over into drawing the box around to determine boundaries. I have used this in tutoring and in my classes and the students responded well to this.
Any other ideas out there? I'm always looking to improve and expand.