It is your responsibility to ensure that they receive an education that is approved, how you do so is your choice, however if you choose to use the available public education those are the rules for using the public education system.So, you seem hung up on speed limits. Let's talk about those.
Governments build most roads. They are engineered to be driven at given speeds. They are given an allowance for entry from driveways and other roads and other accesses based on government allowance, and that is all taken into consideration when establishing a limit on the speed one may drive. The ability of a driver (tested to be safe to drive on the roads by the government) to drive on the roads (established primarily by the government) in vehicles (of specific safety standards established by the government) is also taken into account.
Thus, it is perfectly reasonable for the state, per the tenth amendment to the constitution, to establish limits on speed on a given road.
The location of my given child (not yours, not a politicians, not the guy down the street) is my responsibility and not the government's. There is no reasonable justification for the government to establish where my child should be. To PROTECT the child from actual danger, there's good reason for an adjudicated, challengeable-by-due process reason for the government to say where my child should NOT be, but "anywhere but school" is not a reasonable place my child should NOT be.
The base assumption that the government can establish where my children should be is that the government knows best, and has ultimate authority. This is antithetical to the US Constitution and founding principles of this nation.
In 1798, the legislatures of Virginia and Kentucky approved resolutions that affirmed the states’ right to resist federal encroachments on their powers. If the federal government has the exclusive right to judge the extent of its own powers, warned the resolutions’ authors (James Madison and Thomas Jefferson, respectively), it will continue to grow – regardless of elections, the separation of powers, and other much-touted limits on government power. The Virginia Resolutions spoke of the states’ right to “interpose” between the federal government and the people of the state; the Kentucky Resolutions (in a 1799 follow-up to the original resolutions) used the term “nullification” – the states, they said, could nullify unconstitutional federal laws.
As such, it is equally reasonable to say that the people, per the tenth, also have the right to nullify state authority where it does not and should not exist.
You can choose to home school or have the tutored if you wish to deviate too much from the norm.