On the contrary homeschoolers greatly outperform public school kids. Your ignorance is incredible.
1. I have homeschooled 3 kids. There are several very good teaching programs that I used. One was excellent at teaching algebra, one was excellent at teaching geography (both US and worldwide) and there were other award winning software programs.
2. Every week we went to the public library and picked up books. I used lists that are easily available and searchable. They learned english by reading books at their level. My kids each read over 50 books a year, over 3 years we are talking about close to 200 books, many of which won pulitzer prizes. The authors were their "teachers". They taught them history, science, english, literature, etc.
I homeschooled my two oldest because they had come from China and didn't speak a word of english and would have gone into the sixth grade and been lost. Three years later they both entered the public high schools, they both were valedictorians of their schools, and no one at the school knew that english was not their first language. When my daughter was a senior they were concerned that she had not taken any foreign language, that meant she would not have an advanced degree and yet she was going to be the valedictorian of a school of 2,000 kids. I asked if you can test out of this, they said yes. I said give her the Chinese test. They had no idea she was fluent in Chinese. When my son was about to graduate he met with the principal who was also Chinese and she commented on how excellent his Chinese was saying that most Americans spoke with an accent. I told her he had been born and raised in Taiwan, she had no idea.
I also homeschooled my youngest child who had a physical therapist, occupational therapist, speech therapist and needed a para to walk around school because they were concerned he would fall down the stairs. We taught him the violin which helped his fine motor skills and gave him perfect pitch so he no longer needed the occupational therapist or speech therapist. I took him hiking up mountains which was extremely difficult for him. It would take us 12 hours to do what others were doing in six. Sometimes I had to tie a belt to my pack that he could hold onto. But after a few months he no longer needed a para because he could do the stairs at school without issue. He graduated as an honor student.
You have no idea what you are talking about.