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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  • 15
    Lessons
  • 17
    Exams &
    Assignments
  • 8
    Hours
    average time
  • 0.8
    CEUs
 
 

Course Description

Mastering Geometry: Deciphering the Language of Shapes and Spaces

Geometry, the branch of mathematics that explores the nuances of shapes and spaces, is not just confined to textbooks. It permeates our daily life, influencing everything from architectural marvels to intricate art patterns. This course is designed to immerse learners into the dynamic world of geometry, helping them not only understand its core concepts but also appreciate its ubiquitous presence in our surroundings.

Course Essence

Spanning a meticulously crafted curriculum, this course aims to transcend beyond theoretical knowledge. Through engaging readings, interactive lessons, challenging quizzes, and avenues for independent exploration, students are facilitated to develop a holistic understanding of geometry. Furthermore, an array of curated websites will augment the learning experience, allowing students to delve deeper into specific topics at their own pace.

By the culmination of this course, students will possess a robust foundation in geometric principles, enabling them to decipher the world through a geometrical lens. They will hone the ability to:

  1. Perceive Geometry's Daily Implications: Recognize how geometry seamlessly integrates into various professions, the universe, our homes, and even the synthetic constructs of our world.

  2. Identify Geometric Figures: From basic shapes like triangles and rectangles to more complex forms such as kites and prisms, students will become adept at naming and visualizing a plethora of figures.

  3. Analyze Properties of Shapes: Delving deeper, students will discern the intricate properties that define each shape - right angles, parallel sides, number of corners, and more.

  4. Establish Relationships Between Figures: Develop the acumen to deduce relationships between different shapes. For instance, understanding how every rectangle is essentially a parallelogram characterized by a right angle.

  5. Adopt a Deductive Geometric Mindset: Progressing through the Van Hiele levels of geometric thought, students will cultivate the skill to reason and deduce geometric concepts, paving the way for rigorous proofs.

Course Roadmap

  • Lesson 1 - Geometry in Our World: Initiating the journey by illuminating the omnipresence of geometry in our surroundings.

  • Lesson 2 - Learning All About Shapes: An extensive exploration of various geometric figures and their distinguishing features.

  • Lesson 3 - Tessellations: Discover the mesmerizing patterns formed by repeating shapes without any overlaps or gaps.

  • Lesson 4 - Symmetry: Dive into the world of balanced proportions and understand the harmony in geometric figures.

  • Lesson 5 - Pentominoes: Venture into the realm of geometric puzzles and their intriguing configurations.

  • Lesson 6 - Three Dimensional Shapes: Elevate the learning from 2D to 3D, unraveling the complexities of spatial figures.

  • Lesson 7 - Perimeter: Grasp the concept of boundaries and their measurements.

  • Lesson 8 - Area: Delve into the space enclosed within geometric boundaries.

  • Lesson 9 - If-Then Statements: Master the foundational logic statements pivotal for geometric proofs.

  • Lesson 10 - Area of Three-Dimensional Objects: Measure the space occupied by 3D entities.

  • Lesson 11 - Translations, Reflections, Rotations: Understand the transformative actions that can alter a shape's position or orientation without changing its form.

  • Lesson 12 - Classifying Shapes by Properties: Learn to categorize shapes based on inherent characteristics.

  • Lesson 13 - Proofs and Abstract Thinking in Geometry: Harness abstract thought processes to validate geometric concepts.

  • Lesson 14 - Geometry in Our Universe: Marvel at how the cosmos is a magnificent testament to geometric principles.

  • Lesson 15 - Geometry in Professions: Realize the indispensable role of geometry in various vocations, from architecture to design.

Steer Your Curiosity into Mastery

Geometry is more than a subject; it's a lens to perceive the intricacies of our world. Whether you're a student aiming for academic excellence, an enthusiast curious about the world's designs, or a professional seeking to integrate geometric principles into your work, this course promises to be an enlightening experience. Unveil the secrets of shapes and spaces and recognize the symphony of geometry echoing throughout our universe.

  • 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

Online CEU Certificate
  • 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
Document Your CEUs on Your Resume
 
Course Title: ABCs of Geometry
Course Number: 9770447
Languages: English - United States, Canada and other English speaking countries
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 2023
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: $120.00 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.