I think this is a common issue for young children who are "ahead" of the curve in terms of academic abilities. Their brains might be ahead, but not their bodies, so it's difficult for them to write at the same level that is expected in many curricula for the equivalent 'mental' material. Asynchronous development! It's the biggest weakness (IMO, out of many of course) of the institutional school system, the assumption that all skills progress on a more or less parallel rate of development.
So with young asynchronous kids, we might get some resource or program that teaches exactly what your kid is ready and eager to learn, but it does it all with having them WRITE everything.
But it helps to think of it this way -- the skill of handwriting, and the skill of understanding math, for instance, are two TOTALLY independent skills. Sure, sooner or later they'll have to learn to write out math problems in order to communicate what they're doing efficiently, but it's not NECESSARY for the learning of math concepts. The writing down of a math problem is not the math itself, if you see what I mean.
I faced a sort of similar issue with my son. Much older than K, but very 'weak' in his writing skills. Every resource we wanted to use, for science or history or whatever, was expecting the kids to respond to the lessons with paragraphs and essays and well-composed summaries... NO WAY was this going to happen!
But rather than stress about getting him to write proper answers the way this program wanted, I realized the two skills were separate. His ability to write about it is separate from his actual understanding of the science he learned.
This is what led me into a Charlotte Mason philosophy, in fact. For his written responses, we started substituting drawing -- something which he loves and is good at. Other kids might want to act out their responses, build them with legos or playdoh, or just orally narrate. It doesn't matter if the worksheet isn't 'properly' filled in by themselves, as long as they understand the material, right?
My daughter is now almost 4 and doing K level material. A bit different than yours, she DOES love to 'write' and is working hard on learning it. BUT her skill level in writing is still significantly "behind" her mental skills levels, so there are many resources that I'll just skip because they require too much writing at a typical 5-6yo level. Instead, we do lots of physical math work, large-motor drawing (like on a standing chalkboard or whiteboard), and if there's something that does need to be written but is beyond her, I'll write it for her. She does enjoy tracing, but I would not "make" her do lines and lines of tracing just because some program told me to if she was getting bored with it.
So... I guess my suggestion is like the pp, follow her lead. If she's ready to do sequences, then go ahead and do them, and do whatever you need to do for the worksheets/responses in terms of what and whether she writes anything. She'll "catch up" when she's ready.