I'm a public school teacher, and I've never home schooled. I don't know anything about home school curriculum.
If I were to decide to homeschool family members, I would start with the list below; just start, and modify, adjust, and evolve as I went along.
For elementary math: I'd use TERC's Investigations curriculum; inquiry-based math that does a great job on "number sense," concepts, and problem solving. Needs some supplementation/extra time on basic "facts." They also have some science stuff I've never tried. After 5th or 6th grade, I'm not sure. I know some that have been recommended to me, but I've never used them.
http://www.terc.edu/And the megamath site has some awesome math projects:
http://www.c3.lanl.gov/mega-math/For science: I like AIMS stuff, and there is a link to a good "for pay" site, too.
http://www.aimsedu.org/http://www.kapili.com/For Reading and writing, I'd start with Jr. Great Books. No spelling, grammar, etc. included, but great for higher level reading, comprehending, and writing. Once you understand the process of shared inquiry, you can apply it to other books of your choice. The Jr. Great Books stories are great, but since it's founded on "classics," they tend to be old and white.
http://www.greatbooks.org/programs/junior/index.shtmlFor spelling, I'd look at some of these; they all may not extend all the way to 10 years old, but the methods would work with other words:
The Science of Spelling : The Explicit Specifics That Make Great Readers and Writers (and Spellers!)
by J. Richard Gentry
Spelling Through Phonics
by Marlene McCracken, Robert McCracken
Words Their Way, Third Edition
by Donald R. Bear, Marcia Invernizzi, Shane R. Templeton, Francine Johnston
Teaching Kids to Spell
by Jean Wallace Gillet, J. Richard Gentry
For more writing:
Four Square Writing Method: A Unique Approach to Teaching Basic Writing Skills for Grades 4-6
by Judith Gould, Evan J. Gould, Judy Mitchell (Editor), Judith S. Gould, Evan Jay Gould
For Social Studies, I'd find the website for your state dept of ed, and download the grade level frameworks and standards (you can do this for the other subjects as well). Then I'd look for whatever your state does for that year. In my state, 10 yrs/5th grade is US history; pre-history through the revolutionary war and the constitution.
Then I'd collect as many resources as I could; go to your local teacher's store, browse online, etc.; add current events & field trips to the list of sources. It's not a curriculum; you can use your state frameworks as a curriculum, and pick and choose your own materials and activities on those topics.
Here are a few, of many:
http://www.besthistorysites.net/USHistory.shtmlhttp://www.tolerance.org/parents/index.jsphttp://www.beyondbooks.com/bb/about_whatis.aspAnd another sites of interest:
http://webquest.sdsu.edu/For Art:
http://www.homeschoolart.com/