Online Class: Geometry 101 — Beginner to Intermediate Level

Name: Geometry 101: Beginner to Intermediate Level
Price: 95.00 USD

Geometry is at the heart of both practical tasks and theoretical studies, explored here from the basics of points and lines to the complexities of polygons and circles. With hands-on lessons in drawing and problem-solving, students finish with the skills to tackle real-world geometry challenges and a primer on trigonometry.

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15

Lessons
21

Exams &
Assignments
3,383

Students
have taken this course
17

Hours
average time
1.7

CEUs

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.

Courses Frequently Bought Together:

ABCs of Geometry

Algebra 101: Beginner to Intermediate Level

Basic Math 101

Completely Online
Self-Paced
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

Average Lesson Rating:

"Extraordinarily Helpful"

(1,405 votes)

Lesson 1. Foundations of Geometry and Their Practical Applications

Understanding geometry enhances problem-solving skills for both practical and academic purposes, across diverse areas like designing, construction, and scientific inquiry. This lesson provides foundational definitions of geometric figures, such as points and lines, which are essential for further study and applications. Additional lesson topics: Geometry Glossary 16 Total Points

Lesson 1 Video A
Lesson 1 Video B : How to Take an Exam
Lesson discussions: Reasons for Taking this Course
Complete: Lesson 1 Assignment
Assessment: Lesson 1 Geometry Terms and Motivation
Assessment: Lesson 1 Exercises

Lesson 2. Deductive Reasoning: A Deep Dive into Geometry

Exploring deductive reasoning in geometry, this lesson covers deriving conclusions from premises, using logical if-then statements, and conducting proofs by contradiction. Additionally, it discusses using arbitrary units for measurement and understanding the significance of dimensions such as length, area, and volume. 10 Total Points

Lesson 2 Video
Assessment: Lesson 2 Geometric Reasoning and Measurement

Lesson 3. Angles and Parallel Lines in Geometry

In this lesson, angles are introduced and classified by size, demonstrating how intersecting lines can form multiple angles and highlighting the properties of vertical and supplementary pairs. Parallelism is defined through the interaction of angles when a transversal cuts across parallel lines, leading to the identification of corresponding angles. Additional lesson topics: Types of Angles 9 Total Points

Lesson 3 Video
Assessment: Lesson 3 Angles and Parallelism

Lesson 4. Decoding the Secrets of Triangles: Types and Properties

Triangles are three-sided polygons characterized by non-coincident, non-parallel lines, where the sum of the angles adds up to 180 degrees, which we proved through angle properties derived from parallel lines and transversals. This lesson covers various triangle types and introduces right triangles, their properties, and methods to calculate areas, preparing students to explore triangle congruence and similarity. Additional lesson topics: Triangle Practice Problems--Area; Triangle Practice Problems--Angles; Simplify Radicals 13 Total Points

Lesson 4 Video
Assessment: Lesson 4 Triangles I: Properties of Triangles
Assessment: Lesson 4 Exercises

Lesson 5. Mastering Congruent Triangles: A Study of Geometric Similarities

The lesson elucidates criteria such as SSS that confirm triangle congruence, showing how certain side and angle pairings prove triangle identity. By concentrating on congruence, learners enhance their ability to pinpoint identical triangles amidst complex figures. 13 Total Points

Lesson 5 Video
Assessment: Lesson 5 Triangles II: Congruent Triangles
Assessment: Lesson 5 Exercises

Lesson 6. Triangles and Transformation: Discovering Similarity

This lesson enriches students' understanding of triangle similarity, highlighting the use of transformations and three proportionality-based conditions. By utilizing transformations like dilation, students can prove triangle similarity, even when congruence is not present. Additional lesson topics: Similar triangles 7 Total Points

Lesson 6 Video
Assessment: Lesson 6 Triangles III: Similar Triangles

Lesson 7. Quadrilaterals Unlocked: From Basic Shapes to Calculating Areas

Lesson Summary 2: This lesson delves into quadrilaterals, explaining their basic properties and differentiating between subcategories like trapezoids and parallelograms based on parallel sides and angles. Utilizing the properties of triangles, students learn to compute areas of various quadrilateral types, reinforcing geometric understanding through formulas and examples. Additional lesson topics: Quadrilateral Overview 10 Total Points

Lesson 7 Video
Assessment: Lesson 7 Quadrilaterals

Lesson 8. Polygon Perimeters and Properties

Building on basic three- and four-sided figures, the lesson delves into the world of n-sided polygons, offering techniques for calculating perimeter and interior angles. Using subdivision, complex polygons can be broken down for easier analysis and understanding. 17 Total Points

Lesson 8 Video
Assessment: Lesson 8 Polygons
Assessment: Lesson 8 Exercises

Lesson 9. Understanding Circles: Essential Concepts and Calculations

Focusing on circles, this lesson distinguishes them from polygons by exploring equidistant points from a center, defining key elements such as radius and diameter, and utilizing degree measurements to understand arcs and sectors. It provides formulas for calculating circumference and area, introducing the crucial mathematical constant ?. 10 Total Points

Lesson 9 Video
Assessment: Lesson 9 Circles

Lesson 10. Exploring the World of Composite Figures: An Analytical Journey

Composite figures, which are combinations of simpler shapes, require a methodical approach of division into basic parts to determine characteristics like area and perimeter. The lesson hones skills in breaking down complex shapes for analysis, making use of known geometric properties. Additional lesson topics: Composite Figures Video 10 Total Points

Lesson 10 Video
Assessment: Lesson 10 Composite Figures

Lesson 11. Pencil and Compass: The Art of Classical Constructions

With the use of a compass, straightedge, and pencil, this lesson guides students through classical geometric constructions, emphasizing the lasting relevance and precision of these fundamental techniques. As students engage with bisecting lines and angles, they gain a deep appreciation for the craftsmanship of geometry beyond modern computation. Additional lesson topics: Geometrical Construction 10 Total Points

Lesson 11 Video
Assessment: Lesson 11 Classical Construction

Lesson 12. Hands-On Geometry: Applying What You've Learned

This lesson introduces practical geometry applications by outlining problem-solving steps, using scenarios like calculating composite floor areas and solving practice exercises with diagrams and measurements. Emphasizing unit awareness and triangle congruence, it reinforces using geometric relationships to simplify real-world problems. Additional lesson topics: Geometry Word Problems 10 Total Points

Lesson 12 Video
Assessment: Lesson 12 Practical Geometry Problems

Lesson 13. Parallelism and Perpendicularity Beyond Two Dimensions

Examining the intricacies of three-dimensional geometry, this lesson presents concepts like skew lines and multiple parallel planes that elevate the understanding of spatial relationships. Visual representation techniques and cross sections are key tools provided to facilitate the comprehension of 3D structures on 2D surfaces. Additional lesson topics: Solid Geometry 10 Total Points

Lesson 13 Video
Assessment: Lesson 13 Three-Dimensional Geometry I

Lesson 14. Advanced Exploration of Polyhedra and 3D Shapes: Volume and Surface Analysis

Lesson Summary 3: Lesson 14 deepens the understanding of three-dimensional shapes by highlighting the measures of volume and surface area, focusing specifically on polyhedra, spheres, and cylinders. The lesson equips learners with tools to effectively compute and solve practice problems involving both standalone and composite geometric figures. Additional lesson topics: Volume of a Rectangular Prism Video 10 Total Points

Lesson 14 Video
Assessment: Lesson 14 Three-Dimensional Geometry II

Lesson 15. Introduction to Trigonometry: Understanding Angles and Sides

The lesson connects the intricate elements of trigonometry with geometry, using sine, cosine, and tangent to unravel the symmetrical mysteries of right triangles and their relation to circles. Mastery here equips you with a robust framework for solving diverse geometric problems, expanding your mathematical toolkit beyond basic formulas. 53 Total Points

Lesson 15 Video
Lesson discussions: What do you think about this course?; Program Evaluation Follow-up Survey (End of Course); Course Comments
Assessment: Lesson 15 Geometry and Trigonometry
Assessment: The Final Exam

208

Total Course Points

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.
Demonstrate mastery of lesson content at levels of 70% or higher.

Additional Course Information

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

Course Title: Geometry 101: Beginner to Intermediate Level

Course Number: 9770452

Lessons Rating: 4.34 / 5 Stars (1,405 votes)

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

Category:

UniversalClass.com > Mathematics > Foundational Math Skills

Availability: You can take this course online in every U.S. state including California, Texas, Florida, New York, Pennsylvania, Illinois, Ohio, and Georgia. International availability includes English-speaking countries like Canada, Australia, the UK, and South Africa.

Last Updated: July 2024

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.

Course Type: Self-Paced, Online Classes

Assessment Method: Lesson assignments and review exams

Instructor: April Cordry-Moore

Syllabus: View Syllabus

Course Fee: $120.00 U.S. dollars

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Student Testimonials

"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." -- Hannah Z.
"He was an excellent teacher...the lessons were very clear and easy to understand. I also like the 15 lesson layout." -- Rayna K.