GEOMETRY

Geometry implements the shift from geometry as a course in proof to geometry as a representation of the world around us. The study of geometry also encompasses its close relationship with algebra by using coordinate and algebraic means to verify geometric representations. In each unit, students use algebraic tools to verify properties of figures presented on a coordinate plane. Each lesson opener motivates students to master the content they need to solve application, connection, or integration problems presented in the lesson. Additional applications, connections, and integration in the exercises enable students to apply what they have learned.

Geometry further addresses the New Jersey Common Core Standards for Mathematics. The course incorporates graphing calculator and computer software activities as well as hands-on manipulatives for discovery, problem solving and modeling. The use of technology expands the possibilities of pencil-and-paper constructions with included analysis tools that lead students to discover the concepts presented in postulates and theorems. Hands-on activities make the visualization of abstract concepts real. Applications, modeling activities, and open-ended projects encourage a diversity of approaches and engage today’s students in geometry.