hi sorry for taking so long to reply but i am in the middle of moving home so very very busy! also there is no quick answer to such a question, it depends on your reasons for choosing home education, the country you live in, your political outlook etc in the main i think most would agree to teach math english sciences and technology, i like to include arts and humanities and history as well, i also follow uk curriculum, if you are in uk and choose to follow the curriculum then bearing in mind your childs age i would say buy keystage 1 books, i use ebay to buy my books, they can be expensive especially new, i also use ,hobbycraft, and the works, to buy kits for science, though i am looking into better places and will post in the future on where i find, i think a good idea would be to have some kind of book exchange within home education however i am not part of any community and i do not get any support from anywhere, there is just me doing everything and seemingly blindly for the first time, so this is all new to me i began home ed last year so i have a lot to learn myself and being in the north uk means i spend most of the time discussing the politics on why i believe i can provide a better education than the local school, there is online some sites that are apparently very helpful, i cannot recommend any though as i have not looked at any yet, i intend to once i have moved and will post here of any i feel are good, i will also be looking into the kumon math and english and will post about my experiences with that in the future too, i apologise for not being able to give a better answer and really it is such a huge responsibility that i would only advise to research the uk curriculum, it is available for free download in uk on gov.uk it is long and gives all info regarding current status of learning expected within each stage, thats what i did then i decided to discuss with my daughter which lessons she felt were important, from that we chose our main subjects and i bought those books, in the uk you are required to show you are providing a good standard of education and will get a visit, you do not have to agree to the visit but i did, there is a clear process you have to follow in uk to deregister from school, it is quick and easy, the hard work begins after that! physical exercise also has to be included along with social activities. i wish you every success in following your choice and i hope i can give a better answer in the future, my respect to you