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Online Class: ABCs of Geometry

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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):

  1. 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...)
  2. 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]
  3. 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]
  4. 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]
  5. Students will be able to think deductively in regards to geometrical concepts. [Level 3 and 4 Deduction/Rigorous Proof]

Mathematical Tools


  • Completely Online
  • Self-Paced
  • Instructor Support
  • 6 Months to Complete
  • 24/7 Availability
  • Start Anytime
  • PC & Mac Compatible
  • Android & iOS Friendly
IACET Accredited Provider
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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Course Lessons

Average Lesson Rating: (487 votes)
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"Extraordinarily Helpful"
  • Lesson 1 - Geometry in Our World

    Geometry surrounds all of us, making it a safer and more productive place.
  • 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.
  • Lesson 3 - Tessellations

    A tessellation is defined as a pattern of shapes which are all closed and totally cover a surface.
  • Lesson 4 - Symmetry

    Symmetry refers to both parts of a shape or figure as having equal or matching points.
  • 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.
  • Lesson 6 - Three Dimensional Shapes

    Shapes which have length, width and thickness are known as three-dimensional shapes.
  • Lesson 7 - Perimeter

    In two-dimensional shapes, the perimeter is the distance around the shapes.
  • Lesson 8 - Area

    The area of an object is how much space it takes up
  • Lesson 9 - If-Then Statements

    An if-then statement is a statement where each part is contingent on the other.
  • 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.
  • Lesson 11 - Translations, Reflections, Rotations

    There are four types of isometries which are: translations, rotations, reflections and glide reflections.
  • Lesson 12 - Classifying Shapes by Properties

    The process of drawing conclusions about shapes and theories is an important aspect of geometry.
  • 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.
  • Lesson 14 - Geometry in Our Universe

    Geometric patterns can be found in the nonsynthetic universe and in the synthetic or man-made 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.

Additional Course Information

Online CEU Certificate
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Document Your CEUs on Your Resume
Course Title: ABCs of Geometry
Course Number: 7550571
Languages: English - United States, Canada and other English speaking countries
Course Type: High School Level
CEU Value: 1.3 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: Jeff Clark
Syllabus: View Syllabus
Duration: Continuous: Enroll anytime!
Course Fee: $50.00 (no CEU Certification) || with CEU Certification: $75.00

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, and
  • Demonstrate mastery of lesson content at levels of 70% or higher.
Lesson 1: Geometry and SportsAssignment15
Lesson 1 - Geometry in Our WorldExam10
Lesson 2: Drawing ShapesAssignment30
Lesson 2 - Learning All About ShapesExam9
Lesson 3: Regular TessellationAssignment30
Lesson 3 - TessellationsExam9
Lesson 4: Lines of SymmetryAssignment25
Lesson 4 - SymmetryExam9
Lesson 5: Pentomino Squeeze GameAssignment25
Lesson 5 - PentominoesExam10
Lesson 6: Rectangular PrismAssignment25
Lesson 6 - Three dimensional shapesExam10
Lesson 7: Finding PerimeterAssignment25
Lesson 7 - PerimeterExam10
Lesson 8: Finding the AreaAssignment30
Lesson 8 - AreaExam10
Lesson 9: Define If-Then StatementsAssignment15
Lesson 9 - If… Then StatementsExam10
Lesson 10: Finding Surface AreaAssignment25
Lesson 10 - Area of Three Dimension ObjectsExam10
Lesson 11: Geometry: ReflectionsAssignment25
Lesson 11 - Translations, Reflections, RotationsExam5
Lesson 12: CylindersAssignment25
Lesson 12 - Classifying Shapes by PropertiesExam9
Lesson 13: Proofs in GeometryAssignment25
Lesson 13 - Proofs and Abstract thinking in GeometryExam9
Lesson 14: Geometry in UniverseAssignment30
Lesson 14 - Geometry in Our UniverseExam9
Lesson 15: Architect and GeometryAssignment25
Lesson 15 - Geometry in professionsExam9
The Final ExamExam140
Total Points:653

Student Testimonials

  • "I thought the most helpful was the part that explained about the faces, edges, and different shapes." -- Amanda F.
  • "All of it the course was great. The instructor is great." -- Barry S.
  • "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.
  • "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.
  • View More Testimonials...

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