You'll learn the patterns better if you write them out over the full range of your horn, over all 12 keys, in all the patterns you want to learn.
Seriously, you will.
I never give sheets to my students. I give them the patterns, and have them write out over the full range of their horns. Then I have them practice what they've written out in various rhythmic patterns, phrases, intervals, and meters.
This is the best way to not only learn, but to internalize the fingering patterns.
Oh, and I should add...This takes time. Remember this is an endurance race. Not a sprint.