In Geometry A and B, geometric skills are applied to a wide variety of problem-solving situations and, in seeing the larger picture and in understanding the underlying concepts, students will be in a better position to apply their knowledge to new situations and problems. Students begin by studying the basic essentials of geometry including points, lines, planes, angles, segments, geometric figures, patterns, logic, and reasoning. As students progress through the course, they will study concepts like parallel and perpendicular properties, coordinate geometry, translations and constructions, triangles, congruency and similarity, reflections and symmetry, ratios and proportions, trigonometry, sine and cosine, polygons, proofs, circles, perimeter, area, volume, etc. Students also cover a variety of statistical concepts and applications. Problems are designed to engage higher order thinking processes in a collaborative environment and provide opportunities for practical applications of the concepts developed within the course. Students have the opportunity to develop and utilize analytical skills, think critically, develop logical thought processes, and make valid inferences. The plan of instruction includes demonstration, modeling, guided practice, and independent application which will lead students to broaden their scope of the problem-solving process. Questions, activities, and performance-based learning tasks are designed to engage higher order thinking processes and provide opportunities for practical applications of the concepts developed within the course.