Third grade can be particularly challenging when it comes to math, as this is the year that students are learning about fractions, measuring and weighing objects, graphing and counting money. Most importantly, third graders should be comfortable with the basics of math such as adding, subtracting, multiplying and dividing. If your child isn't comfortable with these basic components, it's almost inevitable that he or she will struggle with future math lessons.
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.
Book knowledge is the ability to recognize book formats and purpose. Early readers learn how to hold a book properly, to read English from left to right, how pictures supplement the story, and that books have basic components such as a front and back, spine, pages, covers, and more. Children automatically learn these things at a conceptual level long before they understand the purpose of each component.