My daughter is going to be 4 at the end of November. She's been using Home CEO preschool and knows her letters, sounds, shapes, colors, numbers, and beginning math. Here's our plan for next year's pre-k for 3-4:
Continue with the next level of Home CEO preschool. This includes all subjects, themed book lists, printables and more. It only takes about half an hour or so per day and we would recommend it overall. But she loves "doing school" along with her 7th grade sister and me (full-time student), so we're adding more. Everything is done at her pace and at her request at this point.
We have a Timberdoodle pre-k set from two years ago. There are logic games and workbooks and a few cutting and drawing workbooks she hasn't finished, and we'll keep working through them. Since I ordered these a while ago I'm fuzzy on the titles. Building thinking skills, mathematical reasoning, night and day..
We're going to use Ordinary Parents Guide to teach reading along with fun-time phonics. Her small motor skills lag far behind her other abilities at this moment, so we like that these don't involve writing. There's some phonics in her preschool packet but it's not moving quickly enough for her and we'll use it as review instead. We'll keep using the beginning handwriting pages in her pre-k packet and switch to italics next year. I just ordered her a pencil grip that we're hoping might help when it comes.
For math were adding in kitchen table math. I also got MCP Math Level K to go along with it (slowly) and her pre-k packet has a lot of worksheets about patterns, heavy v. light, etc. We also ordered tons of manipulatives, such as a clock, balance w weights, cuisenaire rods, pattern blocks, geosolids, etc.
For history/geography we're using an inflatable globe, a felt map with felt animals from around the world, books and the MESS guide on dinos. The pre-k packet has a lot on different countries, history of holidays, etc.
For science we're using Science Play!, MESS guides and the handbook of nature study along with pre-k chemistry and magnet kits.
She has tons of books of her own, plus we visit the library every week for new ones. We use story stretchers (both free guides online and those in the books by that name). We're going to introduce audiobooks this year starting with Pooh and Jim Weiss.
She memorizes a new song or poem each week (part of the pre-k packet) and has lots of instruments. Her sister teaches her trumpet, drumming, recorder, piano, ukelele, you name it. She loves to paint and use clay. The pre-k packet has lots of crafts, too.
For my oldest all we did was surround ourselves with books and utilize teachable moments. Kids are so different. That's really enough in some cases. Even with all this stuff, which may look crazy, she'll spend the majority of her day playing engines or listening to Raffi. Can't wait for this school year :)
Please excuse my writing, I'm on my cellphone.