I think a substantial minority of students like subjects beyond what the class requires. They go to extracurriculars to learn more interesting math and science,

I think a substantial minority of students like subjects beyond what the class requires. They go to extracurriculars to learn more interesting math and science, or are history buffs who read about it on their own time etc. These are the people who as adults move things forward and solve novel challenges so it is important to equip them well.