The Beekman School's Geometry Curriculum
This course reinforces and extends the mathematical foundation established in an Algebra I course. It offers an in-depth investigation of the topics of a yearlong course in Geometry while revisiting numerous algebraic topics from a geometric perspective.
Semester One is devoted to a study of basic principles, reasoning and proof, parallel and perpendicular lines, congruent triangle theory, and special relationships within triangles. Important theorems from semester one include the isosceles triangle theorem, and the proof that all triangles have angles whose sum is 180 degrees.
Semester Two is devoted to a study of quadrilaterals, area, perimeter, and circumference, similarity theory and right triangle trigonometry. Major objectives of this course are a thorough understanding of mathematical topics as tested in both the Regents Exam and the SAT and the ACT. By the end of this course a student will have, among other things, complete familiarity with the x-y plane, facility with the Pythagorean Theorem, and the ability to find measurements indirectly using trigonometry and a calculator.