Textbooks, instruction manuals, and lesson plans are the basic foundation for any homeschooling program. Homeschooling does not have to be limited to the parents understanding of the material that the student is learning. Home school information and education should instead be based on the student's individual learning style and the materials that must be taught based on the students grade level and educational needs.
This sounds like an awful lot, doesn't it! A good set of preschool worksheets should cover all of this, and more. In the preschool years, repetition is the key to learning, but you should look for worksheets that teach the same skills in a variety of ways. This not only prevents boredom setting in, but also reinforces the concepts by encouraging understanding as well. The importance of reading to your child cannot be emphasised enough, and you should encourage them to 'read' as much as possible too.
This will include counting to ten, recognizing shapes and colors, being able to hold a pencil or crayon properly, and coloring in without scribbling. Basic math concepts such as recognizing patterns, understanding quantity and some simple addition and subtraction will be useful.
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.