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Online Class: ABCs of Geometry


Algebra and Math Studies Picture
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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]


 

  • Completely Online
  • Self-Paced
  • Instructor Feedback
  • 6 Months to Complete
  • 24/7 Availability
  • Start Anytime
  • PC & Mac Compatible
  • Android & iOS Friendly
  • Accredited CEUs
Universal Class is an IACET Accredited Provider
 

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.
 
 
 

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Course Lessons

12/8/2016 11:33:17 AM

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 three-dimensional shapes. 10 Total Points
  • Lesson 6 Video
  • Review Article: Geometry: Three Dimensional Shapes
  • Complete Exam: 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
  • 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 - If-Then Statements

An if-then 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 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
  • 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 man-made 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 Follow-up 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

  • "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.
  • "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.
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