Online Class: ABCs of Geometry
$50.00
no certificate
no certificate
 OR 
$75.00
with CEU Certificate*
with CEU Certificate*

15Lessons

16Exams &
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
 SelfPaced
 Instructor Feedback
 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. 9 Total Points
 Lesson 1 Video
 Review 2 Articles: Introduction to Geometry; Overview of Geometry
 Complete Exam: 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
 Review 3 Articles: Geometrical Shapes Exercises; List of Geometrical Shapes; Understanding Geometry and Geometric Shapes
 Complete Exam: 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
 Review 2 Articles: About Tessellations; Definition and Rules of Stellation
 Complete Exam: 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
 Review Article: General Symmetry
 Complete Exam: 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
 Review Article: Introduction to Pentominoes
 Complete Exam: Lesson 5  Pentominoes
Lesson 6  Three Dimensional Shapes
Shapes which have length, width and thickness are known as threedimensional shapes. 10 Total Points
 Lesson 6 Video
 Review Article: Geometry: Three Dimensional Shapes
 Complete Exam: Lesson 6  Three dimensional shapes
Lesson 7  Perimeter
In twodimensional shapes, the perimeter is the distance around the shapes. 10 Total Points
 Lesson 7 Video
 Review 3 Articles: Find Perimeter and Circumference; Finding Perimeter and Area; Extra Perimeter Help
 Complete Exam: Lesson 7  Perimeter
Lesson 8  Area
The area of an object is how much space it takes up 10 Total Points
 Lesson 8 Video
 Review Article: Formulas of Finding Area
 Complete Exam: Lesson 8  Area
Lesson 9  IfThen Statements
An ifthen statement is a statement where each part is contingent on the other. 10 Total Points
 Lesson 9 Video
 Review 2 Articles: Logic of If .. Then Statements; Online Test for If and #8230;. Then Statements
 Complete Exam: Lesson 9  If… Then Statements
Lesson 10  Area of ThreeDimensional Objects
There are two different types of area which can be calculated for threedimensional shapes, surface area and volume. 10 Total Points
 Lesson 10 Video
 Review 2 Articles: Finding Area of Three Dimensional Figures; Calculating the Area of 3DObjects
 Complete Exam: 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. 5 Total Points
 Lesson 11 Video
 Review 3 Articles: Interactive Geometry; Translations, Reflections, and Rotations; Transmographer Activities
 Complete Exam: 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
 Review 2 Articles: All About Triangles; Cylinders
 Complete Exam: 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
 Review 3 Articles: Claims and Proofs in Geometry; How to Write Good Proofs; What is a Proof?
 Complete Exam: 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 manmade universe. 9 Total Points
 Lesson 14 Video
 Review Article: Geometry of Universe
 Take Poll: Geometry and People
 Complete Exam: 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
 Review Article: Jobs That Use Geometry
 Take Poll: About This Course
 Take Poll: Rate This Course
 Take Survey: Program Evaluation Followup Survey (End of Course)
 Complete Exam: Lesson 15  Geometry in professions
 Complete: The Final Exam
272
Total Course Points
Additional Course Information
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Course Title:
ABCs of Geometry
Course Number:
9770447
Languages:
English  United States, Canada and other English speaking countries
Category:
Course Type:
High School Level
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
Syllabus:
View Syllabus
Duration:
Continuous: Enroll anytime!
Course Fee:
$50.00 (no CEU Certification)  with CEU Certification: $75.00
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Student Testimonials
 "All of it was very helpful, it was very well explained."  Betty G.
 "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 flunked 7th and 8th grade math. learned what I should have learned in this course. Thanks, just thanks."  Irene T.
 "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.
 "I thought the most helpful was the part that explained about the faces, edges, and different shapes."  Amanda F.
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