ETA:
Should add that this carried on through high school, and since I finished my math two years early, I took college-level courses for math the last two years.
My mom would have none of that, and demanded I be put back in 4th grade.
And so I was, and it was like I wasn't gone for a single day. The class had not advanced at all.
This was quite unlike university, where I didn't dare miss a single lecture.
You should have learned roughly what is in this book at grade 7, it includes algebraic expressions, angles, ratios, unit conversions, statistical concepts like mean, mode, bar graphs, probability of dice and coins and so on.
https://archive.org/details/newenjoyingmathe0000jose/page/4/...
Then in grade 8 you'd go on to do those kind of things but a bit more advanced. Most people just forget how much math they learned and think they learned all that in high school.
Agreed university is much harder though.
I remember it very well. I thought it was crazy they were still doing the times tables.
> this book at grade 7
I don't recall any of the grades going all the way through the book. My high school had an impressive course catalog. It looked pretty rigorous! But taking the classes, how sad they were. The textbook is not a reliable indicator of what was taught - it's more like wishful thinking.
I remember taking sophomore geometry. The teacher gave out a test at the beginning of the year, to measure where the kids were. Apparently I got it all right. The teacher asked me if I'd taken geometry before? I said no, the test was just obvious. It was really sad.
Now, before you think I am some kind of genius, nope. When I arrived at college it was a full on disaster for me. I had no idea how to study. I was way, way, way behind my peers. I needed a lot of help, bad. My roommate sighed at how ill-prepared I was, and coached me through a lot of classes, otherwise I would have been flunked out.
Have things gotten any better? I doubt it. Even Harvard was forced to add a bonehead math class to try to get their incoming freshmen up to speed.
Don't get me wrong. I enjoyed going to school. My friends were there, and we had a great time. Especially in high school, when we worked on each others' cars. I'm still a motorhead.
I was an air force brat, and so attended many diverse public schools.
I took 2 years of honors physics in high school. College freshman physics blew through that in 2 weeks. And then I was in deep doo-doo.
I am eternally grateful to Prof Ricardo Gomez, who kindly took the time to coach me one on one. I never thanked him for that, one of my many regrets.
When I went to college, it was definitely tougher, but I was able to pass the freshman physics and multi variable calculus courses first time around, without significant tutoring.