# Online Class: Geometry 101 — Beginner to Intermediate Level

The course begins by considering basic figures such as points, lines, and planes, and then expands into the concepts of parallelism and perpendicularity as well as more complicated geometric figures such as polygons (triangles, quadrilaterals, and so on) and circles.

Self-Paced, Online Class
Library Subscription

• 15
Lessons
• 21
Exams &
Assignments
• 17
Hours
average time
• 1.7
CEUs
•
Video Audit
Available

## Course Description

Although we may not always recognize it, we use basic geometry skills regularly in everyday life. For instance, we consider whether a picture on the wall is parallel with the floor, or we calculate the area of a room when installing new carpeting.

Geometry is also an integral part of many other areas of study, including physics and other natural sciences. This course provides a more rigorous mathematical foundation for both practical and theoretical geometric thinking.

The course begins by considering basic figures such as points, lines, and planes, and then expands into the concepts of parallelism and perpendicularity as well as more complicated geometric figures such as polygons (triangles, quadrilaterals, and so on) and circles. The course considers mainly two-dimensional figures, but two lessons on three-dimensional geometry provide more complete coverage of the subject.

Each successive lesson in the course builds on previous lessons, culminating in lessons that teach the student how to calculate lengths, areas, and volumes of more complicated figures. In addition to its in-depth discussion of the mathematical aspects of geometry, the course also includes lessons on how to draw various figures using a compass and straightedge as well as a lesson on strategy for solving real-world geometry problems.

The course concludes by applying all that the student has learned to a brief introduction to trigonometry, thereby providing a jumping-off point for a more rigorous study of geometry as well as other areas of mathematics. By the end of the course, the student should feel comfortable tackling a range of basic to moderately difficult geometry problems.
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## Course Lessons

Average Lesson Rating:
• #### 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.

## Learning Outcomes

By successfully completing this course, students will be able to:
• Define basic geometry terms.
• Define geometric reasoning and measurement.
• Describe angles and parallelism.
• Describe properties of triangles.
• Describe congruent triangles.
• Describe similar triangles.
• Solve problems involving Quadrilaterals.
• Solve problems involving Polygons.
• Solve problems involving circles.
• Describe classical construction.
• Solve practical geometry problems.
• Describe three-dimensional geometry.
• Demonstrate mastery of lesson content at levels of 70% or higher.

## Additional Course Information

• Document Your Lifelong Learning Achievements
• Earn an Official Certificate Documenting Course Hours and CEUs
• Verify Your Certificate with a Unique Serial Number Online
• View and Share Your Certificate Online or Download/Print as PDF
• Display Your Certificate on Your Resume and Promote Your Achievements Using Social Media

Course Title: Geometry 101: Beginner to Intermediate Level
Course Number: 9770452
Lessons Rating: 4.3 / 5 Stars (1,350 votes)
Languages: English - United States, Canada and other English speaking countries
Category:
Availability: This course is online and available in all 50 states including: California, Florida, Georgia, Illinois, New York, Pennsylvania, Ohio, and Texas.
Last Updated: November 2023
Course Type: Self-Paced, Online Class
CEU Value: 1.7 IACET CEUs (Continuing Education Units)
CE Accreditation: Universal Class, Inc. has been accredited as an Authorized Provider by the International Association for Continuing Education and Training (IACET).
Grading Policy: Earn a final grade of 70% or higher to receive an online/downloadable CEU Certification documenting CEUs earned.
Assessment Method: Lesson assignments and review exams
Instructor: April Cordry-Moore
Syllabus: View Syllabus

## Student Testimonials

• "Course was a bit difficult for me, instructor was available and helped me when I needed help!" -- Marcus M.
• "This was a great course. I learned a lot about Geometry and am excited to use what I learned here in my high school. It was definitely better than some of the other Universal courses I took because this instructor, Mr. Clark, was more organized and thorough with his lessons, and it was easier to understand him than other university's instructors." -- Hannah Z.
• "He was an excellent teacher...the lessons were very clear and easy to understand. I also like the 15 lesson layout." -- Rayna K.