Online Class: ABCs of Geometry

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15

Lessons
17

Exams &
Assignments
8

Hours
average time
0.8

CEUs

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]

Courses Frequently Bought Together:

Math All-In-One (Arithmetic, Algebra, and Geometry Review)

Geometry 101: Beginner to Intermediate Level

Algebra 101: Beginner to Intermediate Level

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

Universal Class is an IACET Accredited Provider

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

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Course Title: ABCs of Geometry

Course Number: 9770447

Languages: English - United States, Canada and other English speaking countries

Category:

UniversalClass.com > Mathematics > Algebra and Math Studies

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.