In the state of Texas there are no rules governing Home Schooling and anyone can do so. There is no testing required for progress and there is no proof for you to supply.
Having said that, many Texas municipalities have issues with home schoolers, and may attempt to harass you into sending your children to school.
I say this because I have had several Texas Home Schooling parents assure me that subscribing to HSDLA (Home School Defense League Association) would be in my best interest as once you are a member you will have not a single court cost related to fighting the State for your right to Home School and no other fees related to any information you need on same.
I pulled my oldest daughter out of a Texas School District to homeschool her at the end of last year due to severe harassment issues that she was having to endure with no help from the school district unless I intervened on her behalf. When I questioned the school thoroughly about my rights in doing so, they assured me that I would not even need to submit my child for TAKS testing as a home schooler unless I CHOSE to do so.
If I am questioned I merely have to show them that I have a schedule to follow and maybe even the coursework I have chosen, but only if they have reason to believe that I am not actually schooling her.
I highly suggest if you are going to be Home schooling you subscribe to the HSDLA as well. I have had several conversation with them already and they are a fount of information nationwide. We are getting out of the military and will be moving out of Texas. They have the most recent laws regarding Home Schooling for each state and have helped a lot in our determination of where we wish to move based on laws supporting Home Schooling.
The cost is a little expensive appearing a little over 100 dollars for one year (they have 2 year, 5 year and lifetime mebership plans as well). However, the amount of advice I have already sought has more than made up for the cost. We chose to go with a one year membership as we are not sure it will work out in our Daughter's best interest, but we want to have tried all of our options to help her out.
I would also suggest reading the book "100 Top Picks for Homeschool Curriculum" but Cathy Duffy. If you have never embarked on this plan before looking at all of the curricula available can be daunting and trying to choose what will engage your child the best is terrifying.
I loved that Ms. Duffy wrote about how students learn and has her top choices rated but the types of learning that kids do. It was an incredibly helpful tool for getting started.
If you have any other questions or want to know how to get in touch with the HSDLA, please feel free to pm me... ;-)
Good Luck and know that whatever choices you make are the right ones for you and your family... ;-)