Course content includes the properties of the real number system, equation solving, operations with polynomials and rational expressions, factoring polynomials, graphing linear equations and inequalities, working with functions, solving systems of equations and operations with irrational numbers. This course integrates topics from geometry and algebra and includes an introduction to space geometry, coordinate geometry, vectors and constructions. The emphasis is on the development of logical and sequential reasoning within the structure of a geometric system, and the development of the basic postulates and theorems of Euclidean geometry. Students study concepts of formal proof, congruence, similarity, indirect proof, ratio and proportions, quadrilaterals and polygons, circle and angle relationships, areas and perimeter of polygons, and volumes and surface area of solids. This course integrates topics from both algebra and geometry.
Emphasis is placed on the development of logical reasoning within the mathematical systems studied.
The basic postulates and theorems of Euclidean geometry are developed and the concept of formal proof is studied in depth. In addition to the traditional topics of geometry, basic concepts of logic, set theory, mappings, groups, graph theory, fractal geometry and transformational geometry are studied. This second year algebra course is designed for those students who have taken Algebra I but need to have the basic skills of that course reinforced. The emphasis will be on developing an understanding of the structure of algebra so that students have the mathematical tools and the self-confidence to solve mathematical problems successfully. The graphics calculator will be used extensively and students will be taught to apply the mathematics to real-life situations.