Outside Resources

https://explorabl.es/ is a great website for introducing concepts rarely covered in school. If you're not sure where to start, I'd recommend the Prisoner's Dilemma one, but really, follow your curiosity!

Wondering what to do for the summer? Here are some programs to check out.

• The Summer Science Program is for rising seniors and has research programs in both astrophysics and biochemistry
• RSI offers a chance to conduct an independent summer research project
• Ross and PROMYS are both strong programs for those interested in mathematics beyond the standard high school curriculum

Other great lists exist, so I won't bother reduplicating all their contents:

• MIT provides a wonderful list of programs in STEM
• This list from a California high school is more thorough selection, regularly updated, and bolds free or stipended programs
• The American Mathematical Society maintains a list of summer math opportunities

I know you're all busy during the school year, but MIT's Educational Studies Program runs Splash for high schoolers, in which MIT undegrads teach anything they want (and you learn anything you want) for a weekend. (There are also multi-week long versions called HSSP.) Sign up in late October!

Puzzles are a fun pasttime.

• Digital Games: Baba is You (computer only), Snakebird (app works fine), Stephen's Sausage Roll (almost too hard to even be fun)
• The linguistics olympiad has some cute puzzles that aren't "puzzle hunt puzzles", but still fun, for instance: https://nacloweb.org/resources/problems/2014/N2014-D.pdf
• There are a ton of puzzlehunts, but introducing them here feels difficult. Come talk to me if you're interested in some!

I personally think everyone could read more books (myself included). Below are some personal recommendations, both science-related and not. I would also love to hear your recommendations!

Some science- and math- focused Youtube channels are:

• 3blue1brown: visualized, more "intuitive" higher level math (linear algebra, calculus)
• CrashCourse: for reviewing concepts
• minutephysics: ideas from physics, explained simply in a minute
• SciShow
• Kurzgesagt
• Veritasium
• Numberphile

*Note: though I cannot endorse all the content found on these channels, they tend to produce high-quality educational content supported by science.