Geometry is taught at two distinct levels to all freshmen and sophomores. One is a comprehensive course that explores concepts in greater depth and sometimes covers additional topics. The second is a basic college preparatory introduction to geometry which is less intense but covers most of the same material. Repetition and a certain degree of memorization are fundamental to success in geometry.
Students begin by learning the language and applying basic postulates, definitions and algebraic principles in the proof of simple theorems. They simultaneously learn the deductive structure, an integral part of the course. The concept of congruency is studied in triangles as students become proficient in logic and proof. The concept of parallel lines is introduced and applied in the study of the properties of special quadrilaterals. After a brief introduction to solid geometry, proof is de-emphasized as students consider polygons and examine the concept of similarity. They then move to geometry's most elegant theore--the Pythagorean theorem. This topic provides an introduction of trigonometry and a review of many of the algebraic principles studied in previous years. The year concludes with the study of circles.