Prerequisite: Satisfactory completion of Algebra I
This course expands on and formalizes the conceptual foundations students acquired in their work with informal geometry and Algebra I.
Common Core Geometry is designed to provide students with a focus on acquiring reasoning skills and constructing sound mathematical arguments in support of geometric principles. Mathematical reasoning is introduced through a study of triangle congruency based initially on formal constructions using both classical methods and digital tools and then introducing concepts of analytic geometry applied to constructions as rigid motion transformations. Deductive reasoning is introduced through a study of postulates and theorems applied to a variety of informal and formal proof formats. Students extend what they’ve learned to other essential triangle-related concepts and skills, including work with similarity, right triangle trigonometry, and the Laws of Sines and Cosines. Students learn to justify and derive various formulas for circumference, area, and volume of geometric figures, as well as use and apply cross-sections of solids and rotations of two-dimensional objects. Throughout the course, students connect geometry with algebra, including work with special triangles and slopes of parallel and perpendicular lines before delving into an in-depth investigation of the geometry of circles. Throughout their study of formal geometry, students are provided with project-based learning opportunities using sets of performance tasks to increase their conceptual understanding, apply their skills and enhance the meaning of their work in geometry, analytic geometry and trigonometry. Two and four year colleges expect students to have completed Geometry in order to begin college level mathematics courses. SAT I Math assesses skills consistent with concepts in Geometry