High School Mathematics Department

Algebra I
Algebra I is a foundational course for our mathematics program. In this course, students will study order of operations, algebraic expressions, exponents, evaluation of powers, exponents, graphing inequalities, polynomials, graphing linear equations, radical expressions, factoring trinomials, consecutive odd and consecutive even integers, solution for quadratic equations, uniform motion problems about equal distances, rational expressions, Pythagorean theorem, proofs, abstract rational inequalities, direct and inverse variation, linear inequalities, exponential inequalities, quotient rule for square roots, quadratic formula and probability. Attention will be given to observing the rational order of God’s universe and the application of algebraic solutions to real-life situations.

Algebra II
This course is a continuation of Algebra 1. Extensive treatment of equations an inequalities is provided. In addition, matrices are briefly covered, with some of their applications. A wide spectrum of functions are stressed; namely quadratic, polynomial, logarithmic, and the exponential. Powers, roots, and radicals are presented, and trigonometric functions, if time permits. Finally, sequences and series are introduced.

Geometry
This is the second in a series of foundational courses in mathematics. The subject covers deductive reasoning in mathematics points; lines, planes, space, rays, angles, triangles; introduction to proofs; parallelism in lines and planes; angle sum theorems; triangles and congruence; proving triangle congruent, theorems about triangles; quadrilaterals, inequalities, ratio; proportion and similarity; right angle relationships; trigonometric ratio; tangents, arcs, and chords; angles and segments; basic constructions; locus; area of polygons; areas and circles; prisms and pyramids; cylinders, cones, and spheres; segments and lines; distance formula; coordinate proofs; mapping; and isometric and dilations.

Pre-Calculus and Trigonometry
This course is highly recommended for the college-bound student. Studies cover exponents, radicals, polynomials and factoring; solving equations and inequalities; algebra of calculus; graphs of equations; functions; shifting, reflecting, and stretching graphs; inverse functions; mathematical modeling; polynomial and rational functions; exponential and logarithmic functions; radian and degree measure; trigonometric functions; trigonometric applications and models; analytic trigonometry; systems of equations and inequalities; matrices and determinants; sequences, series and probability; and topics in analytic geometry.

Calculus
The course is designed to prepare students for college level mathematics. It begins with a useful section on the Prerequisites for Calculus. It then moves smoothly to Limits and Continuity in preparation for the all-important Derivative. Derivatives and their applications are given extensive consideration; so are the Integral and its applications. Finally, there is a brief consideration of series, parametric, and polar functions.