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1.3 CEUs  ::  13 Contact Hours  ::  Self-Paced  ::  Instructor Support  ::  6 Month Subscription

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]

* Instantly download, print, and share your CEU Certificate at course completion (additional shipping/handling charges apply for hard copy delivery). UniversalClass™ offers many wonderful learning tools including an online portfolio service that manages all your course completions and CEUs.

Course Lessons

• 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.
 Course Title: ABCs of Geometry Languages: English - United States, Canada, United Kingdom, Australia, New Zealand, and other English speaking countries Category: Course Number: 7550571 Course Type: High School Level Course URL: http://abcgeometry.onlineclasses.com Instructor: Jeff Clark Syllabus: View Syllabus 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 Duration: Continuous: Enroll anytime! Requirements: View Technical Requirements Course Fee: Basic Course: \$50.00 (no CEU Certification) with CEU Certification: \$75.00
1.3 CEUs
13 Contact Hours
• Document Your Lifelong Learning Achievements
• Earn an Official Certificate Documenting Course Hours and CEUs
• Verify Your Certificate with a Unique Serial Number Online
 CEU Value: 1.3 IACET CEUs (Continuing Education Units) Standard: Course Adheres to the ANSI/IACET 1-2007 Standard CE Accreditation: Universal Class, Inc. has been accredited as an Authorized Provider by the International Association for Continuing Education and Training (IACET), 1760 Old Meadow Road, Suite 500, McLean, VA 22102. 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

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 Sports Assignment 15 Lesson 1 - Geometry in Our World Exam 10 Lesson 2: Drawing Shapes Assignment 30 Lesson 2 - Learning All About Shapes Exam 9 Lesson 3: Regular Tessellation Assignment 30 Lesson 3 - Tessellations Exam 9 Lesson 4: Lines of Symmetry Assignment 25 Lesson 4 - Symmetry Exam 9 Lesson 5: Pentomino Squeeze Game Assignment 25 Lesson 5 - Pentominoes Exam 10 Lesson 6: Rectangular Prism Assignment 25 Lesson 6 - Three dimensional shapes Exam 10 Lesson 7: Finding Perimeter Assignment 25 Lesson 7 - Perimeter Exam 10 Lesson 8: Finding the Area Assignment 30 Lesson 8 - Area Exam 10 Lesson 9: Define If-Then Statements Assignment 15 Lesson 9 - If… Then Statements Exam 10 Lesson 10: Finding Surface Area Assignment 25 Lesson 10 - Area of Three Dimension Objects Exam 10 Lesson 11: Geometry: Reflections Assignment 25 Lesson 11 - Translations, Reflections, Rotations Exam 5 Lesson 12: Cylinders Assignment 25 Lesson 12 - Classifying Shapes by Properties Exam 9 Lesson 13: Proofs in Geometry Assignment 25 Lesson 13 - Proofs and Abstract thinking in Geometry Exam 9 Lesson 14: Geometry in Universe Assignment 30 Lesson 14 - Geometry in Our Universe Exam 9 Lesson 15: Architect and Geometry Assignment 25 Lesson 15 - Geometry in professions Exam 9 The Final Exam Exam 140 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.
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