After Harry's first eventful year at Hogwarts, Albus Dumbledore questionably exclaims, "Hopefully your heads are a little fuller than they were… you have the whole summer to get them nice and empty before next year starts…" Such sentiments are sensible in a world that depends upon magic and friendship to solve problems, but here on this nonfictional plane, we rely upon math and science (and perhaps a bit of friendship and karate) to solve our problems. So like fingers to a wand, we want to hold tenaciously to our hard-earned knowledge and skills. Consequently, we have assembled a summer enrichment activity to prevent intellectual slippage and to better ensure your success and to give you a competitive edge in Guyer's Honors Math program.
We expect you to work independently on this packet, which is due on the first day of class. Simply copying your friend's answers would necessarily sabotage the intent of your summer enrichment. If you get stuck on any particular problem, be resourceful and consult the Internet or YouTube. Also know that we will be available for tutoring on Freshman Day, the day before school starts, if you need additional help.
At 9 total pages, with 85 carefully-crafted problems, this document is somewhat intimidating. In fact, your printer may run out of ink before the whole thing prints. I highly suggest that you work on this enrichment activity throughout your entire summer break, doing a bit here and a bit there. Setting a goal of doing about 10 problems per week will ensure its completion before the first day of class. Obviously, this activity will seem like an impossible task if you wait until the last few days before school starts. Just sayin'.
Since there 85 total questions and 8 weeks of lazy summer days, ideally you would complete 10 to 11 problems per week. Look below for my suggested schedule as well as hyperlinks to separate webpages with helpful hints, resources, and videos. While these videos will not provide the answers, they will reteach concepts you may have forgotten as well as provide a number of patent-pending mathematical pro-tips.