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.
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  • 15
    Lessons
  • 21
    Exams &
    Assignments
  • 3,165
    Students
    have taken this course
  • 17
    Hours
    average time
  • 1.7
    CEUs
 
 

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.
Courses Frequently Bought Together:
  • Completely Online
  • Self-Paced
  • 6 Months to Complete
  • 24/7 Availability
  • Start Anytime
  • PC & Mac Compatible
  • Android & iOS Friendly
  • Accredited CEUs
Universal Class is an IACET Accredited Provider
 

Course Lessons

Average Lesson Rating:
4.3 / 5 Stars (Average Rating)
"Extraordinarily Helpful"
(1,343 votes)

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. Additional lesson topics: Geometry Glossary 16 Total Points
  • Lesson 1 Video A
  • Lesson 1 Video B : How to Take an Exam
  • Lesson discussions: Reasons for Taking this Course
  • Complete: Lesson 1 Assignment
  • Assessment: Lesson 1 Geometry Terms and Motivation
  • Assessment: Lesson 1 Exercises

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. 10 Total Points
  • Lesson 2 Video
  • Assessment: Lesson 2 Geometric Reasoning and Measurement

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. Additional lesson topics: Types of Angles 9 Total Points
  • Lesson 3 Video
  • Assessment: Lesson 3 Angles and Parallelism

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. Additional lesson topics: Triangle Practice Problems--Area; Simplify Radicals; Triangle Practice Problems--Angles 13 Total Points
  • Lesson 4 Video
  • Assessment: Lesson 4 Triangles I: Properties of Triangles
  • Assessment: Lesson 4 Exercises

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. 13 Total Points
  • Lesson 5 Video
  • Assessment: Lesson 5 Triangles II: Congruent Triangles
  • Assessment: Lesson 5 Exercises

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 Additional lesson topics: Similar triangles 7 Total Points
  • Lesson 6 Video
  • Assessment: Lesson 6 Triangles III: Similar Triangles

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. Additional lesson topics: Quadrilateral Overview 10 Total Points
  • Lesson 7 Video
  • Assessment: Lesson 7 Quadrilaterals

Lesson 8 - Polygons

Having studied three- and four-sided figures (polygons), we now turn to arbitrary n-sided polygons. 17 Total Points
  • Lesson 8 Video
  • Assessment: Lesson 8 Polygons
  • Assessment: Lesson 8 Exercises

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. 10 Total Points
  • Lesson 9 Video
  • Assessment: Lesson 9 Circles

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. Additional lesson topics: Composite Figures Video 10 Total Points
  • Lesson 10 Video
  • Assessment: Lesson 10 Composite 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. Additional lesson topics: Geometrical Construction 10 Total Points
  • Lesson 11 Video
  • Assessment: Lesson 11 Classical Construction

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. Additional lesson topics: Geometry Word Problems 10 Total Points
  • Lesson 12 Video
  • Assessment: Lesson 12 Practical Geometry Problems

Lesson 13 - Three-Dimensional Geometry I

In this lesson, we introduce three-dimensional geometry as an extension of two-dimensional geometry. Additional lesson topics: Solid Geometry 10 Total Points
  • Lesson 13 Video
  • Assessment: Lesson 13 Three-Dimensional Geometry I

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. Additional lesson topics: Volume of a Rectangular Prism Video 10 Total Points
  • Lesson 14 Video
  • Assessment: Lesson 14 Three-Dimensional Geometry II

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. 53 Total Points
  • Lesson 15 Video
  • Lesson discussions: What do you think about this course?; Program Evaluation Follow-up Survey (End of Course); Course Comments
  • Assessment: Lesson 15 Geometry and Trigonometry
  • Assessment: The Final Exam
208
Total Course Points
 

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

Online CEU Certificate
  • 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
Document Your CEUs on Your Resume
 
Course Title: Geometry 101: Beginner to Intermediate Level
Course Number: 9770452
Lessons Rating: 4.3 / 5 Stars (1,343 votes)
Languages: English - United States, Canada and other English speaking countries
Availability: This course is online and available in all 50 states including: California, Florida, Georgia, Illinois, New York, Pennsylvania, Ohio, and Texas.
Last Updated: March 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
Course Fee: $110.00 U.S. dollars

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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.

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