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Geometry 101: Beginner to Intermediate Level


Algebra and Math Studies Picture
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Course Description

Although we may not always recognize it, we use basic geometry skills regularly in everyday life. For instance, we consider whether a picture on the wall is parallel with the floor, or we calculate the area of a room when installing new carpeting.

Geometry is also an integral part of many other areas of study, including physics and other natural sciences. This course provides a more rigorous mathematical foundation for both practical and theoretical geometric thinking.

The course begins by considering basic figures such as points, lines, and planes, and then expands into the concepts of parallelism and perpendicularity as well as more complicated geometric figures such as polygons (triangles, quadrilaterals, and so on) and circles. The course considers mainly two-dimensional figures, but two lessons on three-dimensional geometry provide more complete coverage of the subject.

Each successive lesson in the course builds on previous lessons, culminating in lessons that teach the student how to calculate lengths, areas, and volumes of more complicated figures. In addition to its in-depth discussion of the mathematical aspects of geometry, the course also includes lessons on how to draw various figures using a compass and straightedge as well as a lesson on strategy for solving real-world geometry problems.

The course concludes by applying all that the student has learned to a brief introduction to trigonometry, thereby providing a jumping-off point for a more rigorous study of geometry as well as other areas of mathematics. By the end of the course, the student should feel comfortable tackling a range of basic to moderately difficult geometry problems.
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Learning Outcomes

By successfully completing this course, students will be able to:
  • Define basic geometry terms.
  • Define geometric reasoning and measurement.
  • Describe angles and parallelism.
  • Describe properties of triangles.
  • Describe congruent triangles.
  • Describe similar triangles.
  • Solve problems involving Quadrilaterals.
  • Solve problems involving Polygons.
  • Solve problems involving circles.
  • Describe classical construction.
  • Solve practical geometry problems.
  • Describe three-dimensional geometry, and
  • Demonstrate mastery of lesson content at levels of 70% or higher.
 
 
 
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

8/25/2016 12:02:57 PM

Lesson 1 - Geometry Terms and Motivation

To begin the course, we first discuss why the study of geometry can be beneficial, both in school and work as well as in daily life. 45 Total Points
  • Lesson 1 Video
  • Review Article: Free Graph Paper Download
  • Review Article: Geometry Glossary
  • Complete: Lesson 1 Assignment
  • Complete: Lesson 1B Assignment
  • Complete Exam: Lesson 1 Geometry Terms and Motivation

Lesson 2 - Geometric Reasoning and Measurement

To aid in our discussion of geometry, this lesson reviews some fundamental principles of geometric reasoning and measurement that will aid our analysis throughout the course. 30 Total Points
  • Lesson 2 Video
  • Review Article: Geometric Shapes
  • Review Article: If- Then Statements
  • Complete: Lesson 2 Assignment
  • Complete Exam: Lesson 2 Geometric Reasoning and Measurement

Lesson 3 - Angles and Parallelism

In this lesson, we introduce the concept of an angle and discuss the relationships among angles formed by intersecting lines. 54 Total Points
  • Lesson 3 Video
  • Review Article: Parallelism and perpendicularity of straight lines and planes
  • Review Article: Types of Angles
  • Complete: Lesson 3 Assignment
  • Complete: Lesson 3B Assignment
  • Complete Exam: Lesson 3 Angles and Parallelism

Lesson 4 - Triangles I: Properties of Triangles

This lesson introduces our first polygon: the triangle. We consider what constitutes a triangle as well as several types of triangles with special properties. 35 Total Points
  • Lesson 4 Video
  • Review Article: Triangle Practice Problems--Area
  • Review Article: Triangle Practice Problems--Angles
  • Complete: Lesson 4 Assignment
  • Complete Exam: Lesson 4 Triangles I: Properties of Triangles

Lesson 5 - Triangles II: Congruent Triangles

This lesson uses concepts from our introduction to triangles in the previous lesson and applies them to congruent triangles. 35 Total Points
  • Lesson 5 Video
  • Review Article: Congruent triangles
  • Complete: Lesson 5 Assignment
  • Complete Exam: Lesson 5 Triangles II: Congruent Triangles

Lesson 6 - Triangles III: Similar Triangles

This lesson concludes our focus on triangles by considering another sense in which we can understand congruence and similarity 32 Total Points
  • Lesson 6 Video
  • Review Article: Similar triangles
  • Complete: Lesson 6 Assignment
  • Complete Exam: Lesson 6 Triangles III: Similar Triangles

Lesson 7 - Quadrilaterals

This lesson introduces quadrilaterals, or four-sided polygons. We study the basic properties of quadrilaterals and go on to identify special quadrilaterals and to derive formulas for their areas. 30 Total Points
  • Lesson 7 Video
  • Review Article: Types of Quadrilaterals
  • Review Article: Quadrilateral Overview
  • Complete: Lesson 7 Assignment
  • Complete Exam: Lesson 7 Quadrilaterals

Lesson 8 - Polygons

Having studied three- and four-sided figures (polygons), we now turn to arbitrary n-sided polygons. 55 Total Points
  • Lesson 8 Video
  • Review Article: Geometry (polygon) worksheets
  • Complete: Lesson 8 Assignment
  • Complete: Lesson 8B Assignment
  • Complete Exam: Lesson 8 Polygons

Lesson 9 - Circles

The course now turns from polygons to circles. A circle is vastly different from a polygon, and it requires a different approach to understanding its properties and calculating corresponding values. 30 Total Points
  • Lesson 9 Video
  • Review Article: Basic Geometry (calculations of a circle) worksheets
  • Complete: Lesson 9 Assignment
  • Complete Exam: Lesson 9 Circles

Lesson 10 - Composite Figures

This lesson combines the principles of previous lessons and applies them to composite figures, which are composed of (or can be broken down into) various simpler figures. 30 Total Points
  • Lesson 10 Video
  • Complete: Lesson 10 Assignment
  • Complete Exam: Lesson 10 Composite Figures

Lesson 11 - Classical Construction

This lesson takes a slight break from the analytical approach to geometry and considers how to perform some simple "classical constructions" using a pencil, compass, and straightedge. 30 Total Points
  • Lesson 11 Video
  • Complete: Lesson 11 Assignment
  • Complete Exam: Lesson 11 Classical Construction

Lesson 12 - Practical Geometry Problems

This lesson takes a break from introducing new geometry concepts and turns instead to application of what we already know to practical situations. 55 Total Points
  • Lesson 12 Video
  • Complete: Lesson 12 Assignment
  • Complete: Lesson 12B Assignment
  • Complete Exam: Lesson 12 Practical Geometry Problems

Lesson 13 - Three-Dimensional Geometry I

In this lesson, we introduce three-dimensional geometry as an extension of two-dimensional geometry. 30 Total Points
  • Lesson 13 Video
  • Complete: Lesson 13 Assignment
  • Complete Exam: Lesson 13 Three-Dimensional Geometry I

Lesson 14 - Three-Dimensional Geometry II

In this lesson, we extend our knowledge of two-dimensional geometry and what we have learned thus far about three-dimensional geometry to the analysis of simple polyhedra as well as spheres and cylinders. 30 Total Points
  • Lesson 14 Video
  • Complete: Lesson 14 Assignment
  • Complete Exam: Lesson 14 Three-Dimensional Geometry II

Lesson 15 - Geometry and Trigonometry

In this lesson, we introduce trigonometry, which expands on our knowledge of circles, angles, triangles, and other aspects of geometry. 73 Total Points
  • Lesson 15 Video
  • Take Poll: What do you think about this course?
  • Take Survey: Program Evaluation Follow-up Survey (End of Course)
  • Complete: Lesson 15 Assignment
  • Complete Exam: Lesson 15 Geometry and Trigonometry
  • Complete: The Final Exam
594
Total Course Points

Additional Course Information

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Course Title: Geometry 101: Beginner to Intermediate Level
Course Number: 7550576
Languages: English - United States, Canada and other English speaking countries
Category:
Course Type: General Education
CEU Value: 1.7 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!
Requirements: View Technical Requirements
Course Fee: $85.00 (no CEU Certification) || with CEU Certification: $110.00

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Student Testimonials

  • "Course was a bit difficult for me, instructor was available and helped me when I needed help!...Course was a bit difficult for me, instructor was available and helped me when I needed help!" -- Marcus M.
  • "This was a great course. I learned a lot about Geometry and am excited to use what I learned here in my high school. It was definitely better than some of the other Universal courses I took because this instructor, Mr. Clark, was more organized and thorough with his lessons, and it was easier to understand him than other university's instructors....This was a great course. I learned a lot about Geometry and am excited to use what I learned here in my high school. It was definitely better than some of the other Universal courses I took because this instructor, Mr. Clark, was more organized and thorough with his lessons, and it was easier to understand him than other university's instructors." -- Hannah Z.
  • "He was an excellent teacher...the lessons were very clear and easy to understand. I also like the 15 lesson layout....He was an excellent teacher...the lessons were very clear and easy to understand. I also like the 15 lesson layout." -- Rayna K.

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