Homeschooling a gifted child means learning about giftedness. Here are a few links to sites to help you get started.
The Gifted Children website.
The National Association for Gifted Children is packed full of information. Especially helpful - click on the link for "Parents" to the left. Here you will find all kinds of information, from the signs of a gifted child, to testing, emotional issues, educational issues, gifted and learning disabled, and parenting the gifted child.
A to Z's Homeschooling Page for Gifted Children takes you to many links to explore.
Visit Dr. Thomas Armstrong's website for a simple explanation on the Theory of Multiple Intelligences. This theory helps each one of us find our strengths.
Hopefully these sites will help you as you examine how to homeschool the gifted child!