This course is designed for the advanced level student in a college preparatory program. It is a rigorous, logical development of the deductive system of reasoning. Emphasis is on the development of logic, formal proofs, and algebraic applications to geometry. The course is aligned to the Assessment Anchors and Eligible Content, PA Standards, and the Geometry Keystone Anchors.
Topics include distance and midpoint formula, geometric reasoning and proofs, angles formed by parallel line and transversals, triangle congruence, properties of triangles, special right triangles, Pythagorean Theorems, polygons and quadrilaterals, similarity in polygons, introduction to trigonometry, perimeter, circumference area, geometric probability, surface area and volume of 3-D figures, and properties of circles. Students will use Geometer’s Sketchpad in the course. Application problems, modeling and project-based learning assignments will be required. Students will be expected to complete five assignments per week. Upon completion of the course students will be ready for Honors Algebra 2.