Geometry 101: Beginner to Intermediate Level
no certificate
with CEU Certificate*

15Lessons

35Exams &
Assignments 
17Hours
average time 
1.7CEUs

0Students
have taken this course
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 twodimensional figures, but two lessons on threedimensional 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 indepth 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 realworld geometry problems.
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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 similarityLesson 7  Quadrilaterals
This lesson introduces quadrilaterals, or foursided 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 foursided figures (polygons), we now turn to arbitrary nsided 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  ThreeDimensional Geometry I
In this lesson, we introduce threedimensional geometry as an extension of twodimensional geometry.Lesson 14  ThreeDimensional Geometry II
In this lesson, we extend our knowledge of twodimensional geometry and what we have learned thus far about threedimensional 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.
Additional Course Information
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Learning Outcomes
 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 threedimensional geometry, and
 Demonstrate mastery of lesson content at levels of 70% or higher.
Lesson 1 Assignment  Assignment  10 
Lesson 1B Assignment  Assignment  25 
Lesson 1 Geometry Terms and Motivation  Exam  10 
Lesson 2 Assignment  Assignment  20 
Lesson 2 Geometric Reasoning and Measurement  Exam  10 
Lesson 3 Assignment  Assignment  20 
Lesson 3B Assignment  Assignment  25 
Lesson 3 Angles and Parallelism  Exam  9 
Lesson 4 Assignment  Assignment  25 
Lesson 4 Triangles I: Properties of Triangles  Exam  10 
Lesson 5 Assignment  Assignment  25 
Lesson 5 Triangles II: Congruent Triangles  Exam  10 
Lesson 6 Assignment  Assignment  25 
Lesson 6 Triangles III: Similar Triangles  Exam  7 
Lesson 7 Assignment  Assignment  20 
Lesson 7 Quadrilaterals  Exam  10 
Lesson 8 Assignment  Assignment  20 
Lesson 8B Assignment  Assignment  25 
Lesson 8 Polygons  Exam  10 
Lesson 9 Assignment  Assignment  20 
Lesson 9 Circles  Exam  10 
Lesson 10 Assignment  Assignment  20 
Lesson 10 Composite Figures  Exam  10 
Lesson 11 Assignment  Assignment  20 
Lesson 11 Classical Construction  Exam  10 
Lesson 12 Assignment  Assignment  20 
Lesson 12B Assignment  Assignment  25 
Lesson 12 Practical Geometry Problems  Exam  10 
Lesson 13 Assignment  Assignment  20 
Lesson 13 ThreeDimensional Geometry I  Exam  10 
Lesson 14 Assignment  Assignment  20 
Lesson 14 ThreeDimensional Geometry II  Exam  10 
Lesson 15 Assignment  Assignment  20 
Lesson 15 Geometry and Trigonometry  Exam  10 
The Final Exam  Exam  43 
Total Points:  594 
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Student Testimonials
 "Course was a bit difficult for me, instructor was available and helped me when I needed help!...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....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....He was an excellent teacher...the lessons were very clear and easy to understand. I also like the 15 lesson layout."  Rayna K.