The Sharon Academy

The goal of every mathematics course at TSA is to expose students to systematic thinking. This involves a building block approach that includes mastering basic skills and logical mathematical processes. Further, students will use, explain and create proofs. Finally, students will apply a process or proof to problems of a different type.

Toward this goal, the Geometry course will help students to develop and refine a sense of spatial relationships. Specifically, the course will cover the following topics: geometric art, inductive reasoning, properties of lines, angles, triangles, polygons and circles. Students will demonstrate their comfort with these areas by performing a series of increasingly more complex Euclidean constructions. Further, we will explore concepts and perform calculations involving area and volume in both English and metric units. Explorations will also include the concept of similarity, tessellations, applications of the Pythagorean Theorem, and an introduction to basic trigonometry. Finally, after compiling this geometric repertoire, students will delve into deductive reasoning and formal geometric proof.

Throughout the course, we will stress the importance of the fundamentals of mathematical operations. We will review mental math, estimations, and practical usage to include how math really can be used in the “real world”. Although not a strong focus of the course, both the graphing calculator and Geometer’s Sketchpad will be used to speed calculation, and model and visualize concepts.

Students will begin creating both a Manual – that records basic math skills and process techniques, and a Portfolio – that will be a collection of their best project work. Both the Manual and the Portfolio will be carried with them throughout their four years at TSA.

Back to The Sharon Academy High School Math Program

Back to The Sharon Academy High School