This in-depth course will use a variety of methods and application (concrete to abstract) to teach the major concepts of Geometry. The maintenance concepts including Polynomials, Exponents, Expressions, Slope, and Data Displays have been taught previously and are a necessary foundation for this course.
Logical Reasoning Skills (Inductive and Deductive)
Validity of Converse, Inverse, and Contrapositive of “If Then” Statements
Euclidean Geometry and Non-Euclidean Geometries
Geometric Tool Use to Construct a Variety of Multi-Dimensional Figures.
Line and Angle Relationships
Polygons and Other Plane Figures
Pythagorean Theorem and its Converse
45-45-90 and 30-60-90 Right Triangle Relationships
Polyhedra and Other Solids
Similarity Using Ratios
Creation of 3-Dimensional Figure From a 2-Dimensional Drawing and Making a 2-Dimensional Object
Distance Between Two Points; Midpoint of a Segment; and Slope Calculations
Properties of Figures