Comprehensive Geometry

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Comprehensive Geometry

This course provides an opportunity for students to explore geometric relationships through inductive and deductive reasoning. Topics include properties of lines, figures of 1, 2 and 3 dimensions, triangles, polygons, circles, prisms, pyramids, cones and cylinders, perimeter, area surface area and volume, the Pythagorean Theorem, congruence and similarity. Students perform constructions, measure figures, observe patterns, discuss their findings, write their own definitions, and formulate and prove geometric conjectures. They learn about different kinds of lines and the relationships between slopes and angles. The course discusses the relationships of various angles when straight lines intersect. Relationships between volume and surface area for various solids are discussed. Students learn about circles and their properties. Various solids are discussed and the resulting cross-sections are detailed. In this course, students focus on triangles and their properties. Triangle theorems are studied and the students learn about the beauty of the Pythagorean Theorem. Students explore various trigonometric ratios and learn to solve problems using trigonometry. They solve various problems and understand theorems related to quadrilaterals and other polygons. They learn about the coordinate plane and solve word problems related to the coordinate axis. Geometric transformations, reflection, rotation and other compositions are discussed as part of this course.

Credit: 0.5




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