Geometry [Competency Based] A

Semester 1: Geometry focuses on two- and three-dimensional shapes, their properties, and their relationships. The course builds a strong foundation in mathematical logic through inductive and deductive reasoning. The properties and theorems of lines, angles, and polygons are used to solve problems, with a focus on triangles, quadrilaterals, and circles. Congruence and similarity are explored through transformations, and a connection between algebra and geometry is established by using coordinates to prove geometric theorems algebraically. The properties of two- and three-dimensional figures are used to describe the area, surface area, and volume of objects in mathematical and real-world problems. Throughout the course, students use logic skills to construct and analyze mathematical proofs.