Geometry and Mathematical Reasoning

Course Overview

The focus of Geometry and Mathematical Reasoning begins with straight lines and objects created from straight lines, such as triangles and other polygons, as well as prisms and pyramids. Objects created from curves, such as circles and parabolas, are introduced later on. Other key topics include linear motion, in both two and three dimensions, and questions of optimization. Vectors and parametric equations are used to represent movement along straight-line paths.

The above list of topics might seem like a typical high school geometry course, but here we do so much more. The true aim of this course is to get you to think critically and imaginatively about math problems in new and unfamiliar contexts. Our problem-solving-oriented approach emphasizes discovery through well-reasoned inquiry. Throughout the course, we continually circle back to older concepts in more sophisticated settings, so concepts are constantly being reinforced. This isn’t just vital preparation for the more advanced math courses you’ll encounter at DAO, but also excellent training in critical thinking more generally.