Geometry 101: Beginner to Intermediate Level
with CEU Certificate*
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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.
Universal Class, Inc. has been approved as an Accredited Provider by the International Association for Continuing Education and Training (IACET). In obtaining this approval, Universal Class, Inc. has demonstrated that it complies with the ANSI/IACET Standard which is widely recognized as the Standard of good practice internationally. As a result of their Accredited Provider status, Universal Class, Inc. is authorized to offer IACET CEUs for its courses that qualify under the ANSI/IACET Standard.
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Lesson 1 - Geometry Terms and MotivationTo 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 MeasurementTo 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 ParallelismIn 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 TrianglesThis 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 TrianglesThis lesson uses concepts from our introduction to triangles in the previous lesson and applies them to congruent triangles.
Lesson 6 - Triangles III: Similar TrianglesThis lesson concludes our focus on triangles by considering another sense in which we can understand congruence and similarity
Lesson 7 - QuadrilateralsThis 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 - PolygonsHaving studied three- and four-sided figures (polygons), we now turn to arbitrary n-sided polygons.
Lesson 9 - CirclesThe 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 FiguresThis 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 ConstructionThis 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 ProblemsThis 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 IIn this lesson, we introduce three-dimensional geometry as an extension of two-dimensional geometry.
Lesson 14 - Three-Dimensional Geometry IIIn 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 TrigonometryIn this lesson, we introduce trigonometry, which expands on our knowledge of circles, angles, triangles, and other aspects of geometry.
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
Course Title: Geometry 101: Beginner to Intermediate LevelCourse Number: 7550576Languages: English - United States, Canada and other English speaking countriesCourse Type: General EducationCEU 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 earnedAssessment Method: Lesson assignments and review examsInstructor: Jeff ClarkSyllabus: View SyllabusDuration: Continuous: Enroll anytime!Requirements: View Technical RequirementsCourse Fee: $85.00 (no CEU Certification) || with CEU Certification: $110.00
- View and Share Your Certificate Online or Download/Print as PDF
- Display Your Certificate on Your Resume and Promote Your Achievements Using Social Media
Learning OutcomesBy 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, 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 Three-Dimensional Geometry I Exam 10 Lesson 14 Assignment Assignment 20 Lesson 14 Three-Dimensional 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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- "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.