Online Class: ABCs of Geometry
This course will provide the learner with a better understanding of the underlying concepts of geometry. Through readings, lessons, quizzes and independent explorations, the learner will leave the course with more complete understanding of geometry and begin to be able to think in a geometrical fashion.

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15Lessons
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17Exams &
Assignments -
8Hours
average time -
0.8CEUs
Course Description
This course will provide the learner with a better understanding of the underlying concepts of geometry. Through readings, lessons, quizzes and independent explorations, the learner will leave the course with more complete understanding of geometry and begin to be able to think in a geometrical fashion. Websites are also provided to help the learner further explore the topics on his/her own. At the end of this unit, the learner will be able to describe some of the basic premises behind geometric thinking, reasoning and study. They will also be able to demonstrate the following learning objectives:
Objectives (based on the Van Hiele levels of geometric thought):
- Students will be able to demonstrate the ability identify the ways geometry is used by people in their daily lives (i.e. professions, synthetic universe, natural universe, in the home, etc...)
- Students will be able to recognize and name figures (triangle, square, rectangle, rhombus, parellelogram, polygon, pentagon, hexagon, octagon, kite, rectangular and triangular pyramids, prisms, cone, sphere) [Level 0 Visualization]
- Students will be able to analyze various properties of shapes (i.e. right angles, parallel sides, number of sides, number of corners, etc...) [Level 1 Analysis]
- Students will be able to construct relationships between classes of figures (i.e. rectangles are parallelograms with a right angle, etc…) [Level 2 Informal Deduction]
- Students will be able to think deductively in regards to geometrical concepts. [Level 3 and 4 Deduction/Rigorous Proof]
- Completely Online
- Self-Paced
- Printable Lessons
- Full HD Video
- 6 Months to Complete
- 24/7 Availability
- Start Anytime
- PC & Mac Compatible
- Android & iOS Friendly
- Accredited CEUs

Course Lessons
Lesson 1 - Geometry in Our World
Geometry surrounds all of us, making it a safer and more productive place.
11 Total Points
Lesson 1 Video
Lesson discussions: Reasons for Taking this Course
Complete Assignment: Motives for Taking this Course
Assessment: Lesson 1 - Geometry in Our World
Lesson 2 - Learning All About Shapes
At the beginning of any study of geometry, one must be able to identify shapes. Many of the names of shapes are derived from how many sides, angles or how the sides relate to each other.
9 Total Points
Lesson 2 Video
Assessment: Lesson 2 - Learning All About Shapes
Lesson 3 - Tessellations
A tessellation is defined as a pattern of shapes which are all closed and totally cover a surface.
9 Total Points
Lesson 3 Video
Assessment: Lesson 3 - Tessellations
Lesson 4 - Symmetry
Symmetry refers to both parts of a shape or figure as having equal or matching points.
9 Total Points
Lesson 4 Video
Assessment: Lesson 4 - Symmetry
Lesson 5 - Pentominoes
To create a pentomino one must connect five of the blocks on the grid together where they only touch on one side.
10 Total Points
Lesson 5 Video
Assessment: Lesson 5 - Pentominoes
Lesson 6 - Three Dimensional Shapes
Shapes which have length, width and thickness are known as three-dimensional shapes.
10 Total Points
Lesson 6 Video
Assessment: Lesson 6 - Three dimensional shapes
Lesson 7 - Perimeter
In two-dimensional shapes, the perimeter is the distance around the shapes.
10 Total Points
Lesson 7 Video
Assessment: Lesson 7 - Perimeter
Lesson 8 - Area
The area of an object is how much space it takes up
10 Total Points
Lesson 8 Video
Assessment: Lesson 8 - Area
Lesson 9 - If-Then Statements
An if-then statement is a statement where each part is contingent on the other.
10 Total Points
Lesson 9 Video
Assessment: Lesson 9 - If… Then Statements
Lesson 10 - Area of Three-Dimensional Objects
There are two different types of area which can be calculated for three-dimensional shapes, surface area and volume.
10 Total Points
Lesson 10 Video
Assessment: Lesson 10 - Area of Three Dimension Objects
Lesson 11 - Translations, Reflections, Rotations
There are four types of isometries which are: translations, rotations, reflections and glide reflections.
Additional lesson topics: Transmographer Activities
5 Total Points
Lesson 11 Video
Assessment: Lesson 11 - Translations, Reflections, Rotations
Lesson 12 - Classifying Shapes by Properties
The process of drawing conclusions about shapes and theories is an important aspect of geometry.
9 Total Points
Lesson 12 Video
Assessment: Lesson 12 - Classifying Shapes by Properties
Lesson 13 - Proofs and Abstract thinking in Geometry
A proof is the process of drawing as many true conclusions about the information provided as possible to gain the narrowest viewpoint about what is presented.
9 Total Points
Lesson 13 Video
Assessment: Lesson 13 - Proofs and Abstract thinking in Geometry
Lesson 14 - Geometry in Our Universe
Geometric patterns can be found in the nonsynthetic universe and in the synthetic or man-made universe.
9 Total Points
Lesson 14 Video
Lesson discussions: Geometry and People
Assessment: Lesson 14 - Geometry in Our Universe
Lesson 15 - Geometry in Professions
There are numerous professions which need to have a basic understanding of the principles of geometry in order for success within the profession.
144 Total Points
Lesson 15 Video
Lesson discussions: About This Course; Rate This Course; Program Evaluation Follow-up Survey (End of Course); Course Comments
Assessment: Lesson 15 - Geometry in professions
Assessment: The Final Exam
274
Total Course Points
Learning Outcomes
By successfully completing this course, students will be able to:
- Recognize the role of Geometry in the real world.
- Recognize geometric shapes.
- Understand tessellations.
- Apply the concept of symmetry in geometry.
- Recognize pentominoes.
- Solve geometry problems of three dimensional shapes.
- Calculate the perimeter or any shape.
- Calculate the area of any shape.
- Calculate the area of three dimensional objects.
- Understand translations, reflections, and rotations in geometry.
- Classify shapes by properties.
- Create proofs in Geometry.
- Understand how Geometry is prevalent in our universe.
- 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:
ABCs of Geometry
Course Number:
9770447
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:
September 2022
Course Type:
Self-Paced, Online Class
CEU Value:
0.8 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
Course Fee:
$95.00 U.S. dollars
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Student Testimonials
- "I thought the most helpful was the part that explained about the faces, edges, and different shapes." -- Amanda F.
- "I flunked 7th and 8th grade math. learned what I should have learned in this course. Thanks, just thanks." -- Irene T.
- "As an introductory course I think the course was above excellent and a very high quality teacher. I liked the methodology used to teach geometry because it clarified a lot of areas for me. The course was structured so that I could learn the concepts and not worry too much about performance. I have to admit that this is the first math/science class that I have thoroughly enjoyed." -- Francisco M.
- "I found the whole program to be helpful. It gave me a better understanding of geometry and the world of geometry." -- Alexis B.
- "All of it was very helpful, it was very well explained." -- Betty G.
- "All of it the course was great. The instructor is great." -- Barry S.
- "Good job." -- Isaiah H.
- "The instructor was very helpful and reachable in doing this class over the period of time it took for me to complete it." -- Greg K.
- "The instructor was very helpful." -- Abigail N.
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