Online Class: Geometry 101 - Beginner to Intermediate Level

Course Lessons

• Lesson 1 - Geometry Terms and Motivation

  To begin the course, we first discuss why the study of geometry can be beneficial, both in school and work as well as in daily life.

• Lesson 2 - Geometric Reasoning and Measurement

  To aid in our discussion of geometry, this lesson reviews some fundamental principles of geometric reasoning and measurement that will aid our analysis throughout the course.

• Lesson 3 - Angles and Parallelism

  In this lesson, we introduce the concept of an angle and discuss the relationships among angles formed by intersecting lines.

• Lesson 4 - Triangles I: Properties of Triangles

  This lesson introduces our first polygon: the triangle. We consider what constitutes a triangle as well as several types of triangles with special properties.

• Lesson 5 - Triangles II: Congruent Triangles

  This lesson uses concepts from our introduction to triangles in the previous lesson and applies them to congruent triangles.

• Lesson 6 - Triangles III: Similar Triangles

  This lesson concludes our focus on triangles by considering another sense in which we can understand congruence and similarity

• Lesson 7 - Quadrilaterals

  This lesson introduces quadrilaterals, or four-sided polygons. We study the basic properties of quadrilaterals and go on to identify special quadrilaterals and to derive formulas for their areas.

• Lesson 8 - Polygons

  Having studied three- and four-sided figures (polygons), we now turn to arbitrary n-sided polygons.

• Lesson 9 - Circles

  The course now turns from polygons to circles. A circle is vastly different from a polygon, and it requires a different approach to understanding its properties and calculating corresponding values.

• Lesson 10 - Composite Figures

  This lesson combines the principles of previous lessons and applies them to composite figures, which are composed of (or can be broken down into) various simpler figures.

• Lesson 11 - Classical Construction

  This lesson takes a slight break from the analytical approach to geometry and considers how to perform some simple "classical constructions" using a pencil, compass, and straightedge.

• Lesson 12 - Practical Geometry Problems

  This lesson takes a break from introducing new geometry concepts and turns instead to application of what we already know to practical situations.

• Lesson 13 - Three-Dimensional Geometry I

  In this lesson, we introduce three-dimensional geometry as an extension of two-dimensional geometry.

• Lesson 14 - Three-Dimensional Geometry II

  In this lesson, we extend our knowledge of two-dimensional geometry and what we have learned thus far about three-dimensional geometry to the analysis of simple polyhedra as well as spheres and cylinders.

• Lesson 15 - Geometry and Trigonometry

  In this lesson, we introduce trigonometry, which expands on our knowledge of circles, angles, triangles, and other aspects of geometry.