Geometry is unique from the mathematics classes students have previously taken, emphasizing the broader relationship between math and the world we inhabit. This is turn reveals conventional math such as algebra to be only one facet of a larger search for truth: logic. The role of proofs will be emphasized in this course, likely for the first time in many students' academic careers.
Throughout this year, students will explore many problems from two perspectives: a translation of Euclid's original texts that founded the field of geometry will be employed to develop logical thinking and demonstrate that we can explain many mathematical truths verbally, while a modern textbook aids us in verifying these truths using tools that students are more familiar with.
Because geometry is rooted in the study of the world, diagrams are deeply ingrained in this branch of mathematics. Students will learn to use a geometric compass, both for the sake of clean, effective diagrams as well as artistic endeavors. Through this, students have a chance to explore the relationship between mathematics and visual art, complimenting similar relationships they will be exploring in other classes such as Music.