Geometry comes from the Greek rootsgeo-, meaning Earth, and –metron, meaning measure. Thus, geometry literally means the process of measuring the Earth. In a more mathematical sense, this course looks at geometric figures that we see in everyday life to understand the patterns in their attributes and how their measures relate to these patterns. It expands on the basic geometric concepts learned in previous math courses, through the applications of these concepts in new contexts.You will learn to develop formal proofs that support patterns and rules of geometric figures previously investigated, including congruent and similar figures, triangles, quadrilaterals, and circles. From here, the course expands on your knowledge about triangles and the Pythagorean theorem, introducing trigonometry of both right triangles and general triangles. The course will help you develop links between the attributes of two-dimensional and three-dimensional figures; help you develop formulas for calculating the volume of prisms, cylinders, pyramids, cones, and spheres; and assist you in using geometric modeling to solve problems involving three-dimensional figures. Toward the end of the course, you will use your algebra skills and the coordinate plane to further investigate and prove the attributes of geometric figures and their relationships with each other. The last unit continues to develop your knowledge of probability, using geometric probability models where appropriate.While this is a geometry course, it assumes prior knowledge of foundational geometry concepts from previous math courses and mastery of algebra. Therefore, to successfully progress through this course, you should arrive with a strong foundation in algebra and familiarity with some basic geometric concepts. You should enter into this course having studied a variety of geometric figures and their distinguishing attributes. You should be able to draw and describe geometrical figures and the relationships between figures. Additionally, you should be comfortable with the concepts of area, perimeter, surface area, and volume, and you should be able to apply these concepts to problem solving. Furthermore, you should be comfortable graphing points on the coordinate plane. Finally, you should have a working definition of congruence and similarity, as this is the starting point for this course and it takes off from there.In addition to learning geometry, this course will work on developing mathematical practice skills that will help you to be successful in future courses. Therefore, in addition to developing geometric reasoning and an understanding of the physical patterns that exist in the world around us, this course will enable you to continue developing your skills of mathematical practice, including problem solving, critical thinking, mathematical modeling, and the ability to use a variety of tools to effectively tackle problems. Completion of this course will provide you with the foundation necessary to successfully progress to Algebra 2. Additionally, this content should prove helpful in developing a solid foundation for science courses, specifically physics, where knowledge of geometric figures and their attributes is critical.
Days of the Week:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
- Level of Difficulty: All Levels
- Size: One-on-One
- Cost: Free
- Institution: Saylor
- Topics: Algebra, Geometry, Probability, Trigonometry, Physics