This course is a complete high school geometry course with formal proof, teaching concepts and skills necessary for success in advanced math and science courses. Students explore Euclidean geometry through the study of foundational theorems and postulates that examine spatial relationships analytically and aesthetically. Topics include measurement and construction, coordinate geometry, transformations of figures, congruent and similar triangles, area and volume formulas, special properties of segments and lines in triangles, circles and polygons, symmetry of figures, and basic trigonometry. Honors topics include concurrency of segments, fractals, the golden ratio, vectors, matrices, and geometric probability. Throughout the course, students use dynamic geometry visualization software that helps them “see” geometric representations and patterns. Students build on this inductive foundation by developing and applying logical deductive thought to develop proof patterns and mathematical arguments. This course offers a mathematical means of describing, analyzing, and understanding God’s creation, and seeing the beauty in its structure and order.
Notes and Requirements
Note: Lack of a solid Geometry background is a primary source of difficulty in Algebra 2 and Precalculus. This course uses a proven highly-regarded text plus integrated digital media study aids to help students visualize the concepts.
Standard vs. Honors: This Honors course is designed to prepare students for Calculus in high school or college. It has more conceptual topics than the Standard course, and spends less time on review and practice of fundamentals.
Curriculum Note: TPS uses the award-winning Elayn Martin-Gay High School Series (AGA). The Martin-Gay series is one of the few curricula (out of the many we reviewed) that has scope and level we require, including standard and honors level. It follows well from the Math Mammoth series we use in our Math Fundamentals and Pre-Algebra courses. It features a rich set of thousands of supplemental videos to aid self study. And it includes excellent on-line MyMathLab resources, which is the same platform already used by TPS Precalculus and Calculus. (This information should not be used for ordering materials, as TPS will be providing special bundle ISBN’s required for ordering.)