This course covers logic and reasoning, distance and length, angles, polygons, circles, perimeter, area, the coordinate plane, transformations, trigonometry, volume, surface area, and probability. Students will use logical thought processes to prove theorems involving segments, lines, angles, triangles, and circles. Students then use these theorems to analyze and solve problems with these geometric figures. They use the coordinate plane to view geometry with a more analytical perspective. On the coordinate plane, students will calculate distances, slopes, area, and perimeter and perform transformations on points, segments, and polygons. They also learn to find the surface area and volume of three-dimensional objects and solve application problems.
Lastly, students study probability and make analytical decisions based on calculations involving independent and dependent events, the fundamental counting principle, compound probability, set theory, permutations, and combinations.
This course is best taken between Algebra I and Algebra II. While not a direct successor to Algebra I, Geometry requires that students have a strong foundation of algebraic skills to manipulate equations and solve problems in Geometry. By completing Geometry, students become better prepared for Algebra II, improving their problem-solving skills, abstract and critical thinking, spatial awareness, and logical reasoning.