Using homeschool textbooks as a complete program is a traditional form of schooling at home. Students will each have textbooks geared for a specific subject in a specific grade level.
Alpha Omega, Bob Jones, Abeka and Seton are 4 traditional homeschool programs. For more information on those options go here - From Homeschool Textbooks to Homeschooling ProgramsI do not use homeschool textbooks as a complete program. I tend to pick and choose from different publishers both traditional and not so traditional. I do believe there is a good place and time for a traditional textbooks approach. In combination with other teaching methods it can actually take a lot of pressure off of mom.
I must add my encouragement that if school is becoming overwhelming and you are using a complete textbook curriculum package... consider switching things up! School can be a great time with your kids. Don't let yourselves become slaves to a curriculum. Let a curriculum work for you!
A traditional approach will often use a complete program from one publisher. However it can also use a combination of textbooks from different publishers. An eclectic homeschool may use a traditional text for some subjects and be more delight directed using other forms of materials for other subjects.
For those desiring a more traditional homeschool setting and using a complete program from one publisher, the graded texts usually follow a formal scope and sequence. Usually each subject is taught independent of each other.
A complete homeschool program may consist of teachers manuals, quizzes and tests. These are often formatted with a main student text and consumable student workbooks.
Many families thrive on the structure and steady process of a traditional curriculum format. They don't have to make decisions of what to do next, the program is all set up and you just need to complete the next book.
My suggestion if this appeals to you is to consider using texts in a relaxed manner. Add lots of interesting videos, living books and activities to keep things interesting as you work through the textbooks. Choose to use textbooks for only a part of your studies. There are no homeschool "rules" that say you must choose one size fits all curriculum for your very NOT one size fits all son. Break free from any preconceived notions of what "school" needs to look like.