Schedule: June 13 through July 22, Monday through Friday, 8 a.m.-12 p.m.
Prerequisites: Algebra 2 and department approval
Grade Level: rising ninth graders or above
Credit: Open to students anywhere, this course will earn 1 math credit (the equivalent of a full-year course) at Ransom Everglades. The final grade in the course will appear on the Ransom Everglades transcript and will be included in the calculation of GPA.
Geometry (Proof-based) offers an introduction to a mathematical theory of space. This course concentrates on Euclidean geometry while maintaining and sharpening algebraic skills. The topics include: deductive systems, undefined terms, definitions, postulates, theorems, proofs, indirect proofs; subsets of space: points, lines, planes, segments, rays, angles, triangles, quadrilaterals, polygons, and polygonal regions; real numbers and measurement: betweenness, distance, angle measure, area, volume, convex sets and separation, incidence, perpendicularity and parallelism; equivalence relation: congruence, proportionality and similarity; the Pythagorean Theorem; circles, tangents, arcs, chords, regular polygons, circumference, sectors; prisms, pyramids, cylinders, cones and spheres; and right triangle trigonometry. Rigorous proofs will be emphasized.
This course is for advancement. Because of the speed and rigor at which this course is taught, it is only open to our strongest students; departmental approval is required for enrollment.