I is the study of positive and negative numbers, the fundamental axioms and properties of Algebra, linear equations and inequalities, formulas, problem-solving using equations, operations with polynomials, factoring, systems of linear equations, rational and radical expressions and equations. Additional topics may include quadratic equations and basic trigonometry. This course in Euclidean geometry emphasizes deductive reasoning and proof. Topics include congruent triangles, parallel and perpendicular lines, polygons, similarity, the Pythagorean Theorem, right triangle trigonometry, circles and arcs, area and volume. Additional topics may include constructions and transformational geometry.
Ample opportunity is provided for students to maintain algebraic skills.
Both a review and continuation of Algebra I, this course focuses on first-degree equations and inequalities, systems of equations, polynomials, rational expressions, exponents, roots, complex numbers, quadratic equations, quadratic functions and their transformations. Additional topics may include trigonometry, sequences, series, matrices and conics. This course is designed for students who have completed Algebra II but are not ready for the rigors of precalculus. It begins with a review of important elements of Algebra II, framed in the context of mathematical functions, and how they are used to model situations in the world around us. The middle part of the year is devoted to the study of trigonometry, from the fundamental and advanced concepts of triangle trig to the use of trigonometric functions for modeling.