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  1. First, I hope it's okay to post this here on the high school board. I'm looking for ideas to help my math-loving son keep loving math. At the same time, I'm unable to let all structure go because I've found that he thrives best with a daily plan. This child has completed Algebra I and a few chapters from the AoPS Intro Number Theory and Intro Geometry books. He is however, hitting chapters that are obviously becoming too hard for him to handle on his own. We are at this present time, unable to afford a tutor/ mentor so a lot of the hand-holding comes from me/ Dad but to be honest, I'm no math expert and his Dad travels/ is very busy with work at least 2 out of every 3-4 weeks. His frustration with the more difficult chapters in the AoPS books is undermining his usual confidence in the subject. He has stopped doing math for fun like he used to...and this worries me. I have other high school math texts at home but I don't think that's the solution for him atm. We live too far away from math circles and he is not too keen on working on math olympiad style books either. I was wondering if I could come up with a plan that involves working with numbers and patterns at a high challenge level but not as challenging as AoPS for now. For instance, a plan that could combine codes and ciphers, geometrical constructions, reading about math, logic puzzles etc. He has always been fascinated by trig so I'm not sure how to include that without doing geometry first. Perhaps what I'm looking for is a type of math unit study but for a longer period of time and at a high challenge level (about jr high-freshman level) So here are my questions: 1. I would love ideas for books and resources for the plan described above. We have exhausted most of the living math and code-cipher and constructions-type books at the 4th-8th grade levels. I'd love suggestions for books and websites. 2. He thrives with videos. Has anyone used Khan Academy as their sole math curriculum? I'm thinking of having him do a little Khan daily or every other day to just help keep things fresh in his head while he plays with the non-traditional math resources I'm seeking in question 1. 3. Any suggestions on introducing trig without going through geometry first? I keep telling him we can't do trig without geometry...but I'm not totally convinced about this. I mean, I've had people tell me 8-year-olds can't do algebra I on their own and obviously, it was different for him. He's still young so perhaps if it's not working, we could always revert back to the traditional sequence later when he is of high school age? Thanks for listening and reading this far!
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