Lacing activities, stringing beads and cheerios, playing with playdoh, scooping sand or rice, and activities like pouring and stirring are also great fine motor activities.
By the time your child is ready for kindergarten or school, they should be able to recognize their own name and other simple written words. The sounds of each letter of the alphabet should be familiar to your child, and they should understand the principle of reading from left to right, which way to hold a book, and possibly even be starting to read three and four-letter words.
When you feel your child is physically ready to write, have your child use a stick or finger to draw in sand, rice, pudding, shaving cream, paint or oatmeal. Make simple lines and shapes and ask your child to copy them.
Many online math games are designed purely for entertainment and won't do much in terms of teaching your child. While these games can be fun and engaging for third graders, you want to choose games that will practice the skills being taught in school.