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Math Camp 8-9: Geometry Exploration

Summer Mathematics
Schedule in 2026
We're not currently offering any sections of this course. Fill out this course interest form to be notified if we open one!

New to AoPS or unsure about which summer camp to enroll in? Click here to try the self-diagnostic test for Math Camp 8-9!

The Math Camp 8-9 summer program is designed for students who have completed an Algebra 1 or equivalent math class, including our Algebra 1 academic year course. (Students are not required to take AoPS Academy academic year courses prior to enrolling in AoPS Academy summer programs.) We expect most students in Math Beasts Camp 8-9 to be entering 8th or 9th grade, along with some mathematically advanced younger students. The topics covered in this camp can be beneficial and interesting to students entering a Geometry or an Algebra 2 class in the fall.


Each day of Math Camp 8-9 consists of a Problem Solving component and a Mathematical Exploration component. Problem Solving keeps students sharp on particular topics while preparing them for the upcoming school year. We start each class with a quick review of a key topic that students should have encountered in the previous school year. This review is followed by a series of intriguing problems that push student understanding of the topic well beyond the standard classroom level. We finish each Problem Solving discussion with a challenging activity in which students collaborate in teams.


Our Mathematical Explorations are designed to introduce topics that most students don't encounter until much later in their schooling, and to equip students with general mathematical strategies that will be useful throughout their education. Students explore topology, knot theory, and the geometry of surfaces. They also examine different techniques for geometric constructions, including compass and straightedge and origami. Finally, they investigate more exotic facets of geometry including finite geometry and fractal geometry.


SYLLABUS


This two-week course meets Monday through Friday for three hours each day.

Space is very limited for our summer programs. Please do not wait until the last minute to enroll. If there are more than two weeks before the course starts, a $200 deposit will be due when enrolling, with the balance due two weeks before the course begins.

Our family regularly talks about AoPS. We try to think about how our life would be different without you all. What if my daughter hadn't learned to love math? What if she never experienced being pushed to her limits? Overcoming failure? She wouldn't be who she is. And she is AWESOME! A very proud mom here. We are so fortunate that we found AoPS Academy. I credit AoPS for much of her confidence.

Kelly B.,

AoPS Academy parent to 16-year-old engineering major at UW and future cancer researcher