Should I put my high school on my resume?
Short answer: it depends on where you are in your career/education.
If you are in high school, you should most definitely include your high school in your education section along with any relevant extracurricular activities (especially if they show commitment and leadership!), your current GPA if good, and any standardized test scores if good. We provided dedicated space to include such things in the education section of our resume builder.
If you are post-college (undergrad) or working full-time professionally, your high school should 100% not be on your resume, no exceptions. At this stage including your high school on there, no matter how impressive your accomplishments may have been, feels (literally) juvenile. It reflects poorly on you as an applicant, and there are more than likely better, more recent experiences that should be included instead.
The only grey area is early college, such as when putting together a resume for internships. If you are a freshman in college it probably makes sense to include high school, especially if there are significant extracurriculars or accomplishments that reflect well on you and your character. It's also still quite recent at that point. Sophomore year is probably still fair game, though if you've started to spread your wings in college and have internships/jobs/college extracurriculars you definitely don't need to include high school stuff. By junior/senior year in general I would ideally omit high school, though this is more on a case-by-case basis (including it isn't necessarily bad). Hopefully at that stage you do have one or two internships/jobs/summer jobs under your belt as well as extracurricular activities at your school that you can highlight instead. That said, I myself (Nate) was a bit of a dummy when it came to internships during college and only had pretty low-level summer jobs that were not "career-oriented" per se, so in a case like mine I might have still included high school stuff just because I needed to fill out the whole page. Don't be like me!