Free online courseGeometry Complete Course

Course Description

The Geometry Complete Course is a comprehensive exploration of the fundamental principles of geometry. Spanning a total duration of 63 hours and 19 minutes, this course is designed to build a solid foundation in geometry for students who are beginning their journey in this essential field of mathematics. As of now, it has not yet received any reviews, making it a fresh and potentially exciting prospect for learners eager to dive into the subject.

The course kicks off with an introductory class that familiarizes students with the importance of staying organized and outlines the entire course content. This sets the stage for a structured and methodical learning experience.

The subsequent classes delve into fundamental geometry concepts over three distinct parts. These classes offer students a thorough understanding of basic geometric principles before progressing to more advanced topics.

As the course develops, students are introduced to crucial logical tools such as inductive and deductive reasoning, and move on to detailed exploration of proofs and properties of equality and congruence. These topics are covered in multiple parts, ensuring that students gain comprehensive knowledge and practice in these areas.

Periodic review sessions encourage students to consolidate their learning and prepare for a series of tests that assess their understanding of the material. These tests are strategically placed throughout the course to maintain a steady evaluation of each student's progress.

The course also covers specific geometric concepts such as angles formed by transversals, the Pythagorean theorem, triangle congruence postulates, and theorems. Students engage in applied learning through the exploration of the distance formula, midpoint calculations, and coordinate proofs.

Advanced topics include points of concurrency generated by triangles, a review of linear equations, and systems of equations. These classes ensure that students gain a well-rounded understanding of the geometry curriculum.

In subsequent lessons, the course dives into ratios, proportions, similarity postulates, and various triangle inequality theorems. The exploration of polygons, their properties, and transformations provide students with the knowledge required to tackle more complex geometric problems.

The study of right triangles, including parts dedicated to special quadrilaterals and angles of polygons, further solidifies the students' understanding of geometry. This part of the curriculum ensures that learners can handle a wide range of geometric scenarios.

A comprehensive study on circles, addressed in multiple classes, as well as in-depth discussions on area and volume, equips students with the analytical tools necessary to solve real-world geometric problems.

The course also introduces various methods of presenting proofs, including paragraph and flowchart proofs. This variety provides students with a versatile approach to conveying their understanding and solutions.

Thorough review sessions are included before each major test, culminating in a detailed final exam that is divided into two parts. These final components assess the students' overall grasp of the course material. Finally, the course concludes with guidance on calculating the final grade, allowing students to quantify their success and areas for improvement.

The Geometry Complete Course is an extensive, well-structured program that offers a deep dive into the world of geometry, making it an ideal choice for students looking to master this crucial area of mathematics. With its clear organization, comprehensive content, and methodical approach, students are well-prepared to excel in geometry.