Geometry

General Introduction

If you took all the math subjects normally taught in high school and had to pick the odd one out, geometry would probably be that subject. Students are oftentimes fazed by the distinct contrast between the equations and formulas of algebra and the world of figures and proofs in geometry. However, geometry, as students go on to realize, provide an essential set of tools required for higher mathematics. Geometric proofs are a foundation for the ones students might encounter much later in theoretical calculus, and geometric concepts are absolutely vital for a solid understanding of trigonometry, and many topics in calculus and statistics.

Instruction Content

 I. Fundamental ideas

A. Points Lines, and Planes

B. Postulates and Theorems

C. Segments, Midpoints, and Rays

D. Angles and Angle Pairs

E. Special Angles

F. Intersecting, Perpendicular, and Parallel Lines

G. Parallel and Perpendicular Planes

II. Parallel Lines

III. Triangles

IV. Polygons

V. Perimeter and Area

VI. Similarity

VII. Right Triangles

VIII. Circles

IX. Geometric Solids

X. Coordinate Geometry

Homework and Tests

Homework reviewing the topics covered will be assigned after each lesson. The assignments serve not only as an assessment of the student’s knowledge to make sure he/she fully understands the concepts, but also as a way to allow the student to put their knowledge into practice.

Students will be tested on each general topic before they move on to the next, in order to ensure they have the skills to progress to the next topic.

Prerequisites

Pre-Algebra required. Basic knowledge of Algebra I recommended.