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Algebra I covers the study of the properties of sets of real numbers, linear equations, linear functions, and inequalities; geometry, radical expressions and equations; graphing and algebraic equations. The second half of course is a study of systems of equations, quadratic functions, exponents and powers, polynomial functions, and rational functions.
Incorporating art: students learn patterns, and the basics of graphing and to draw pictures to help in problem solving.
Algebra II covers how to solve equations and problems involving variables, factor quadratic equations, manipulate fractions with variables, use common formulas, square and cube numbers, multiply and divide radicals, and solve irrational equations. This course covers drawing graphs of figures and equations; graphing linear functions; simplifying expressions involving exponents; using logarithms; using basic trigonometric ratios; determining the midpoint, slope, and distance between two points in coordinate geometry; and solving quadratic inequalities graphically.
Incorporating art: Students learn patterns, and learn more of graphing lines and start graphing other shapes: parabolas, circles, conic sections, ellipse, hyperbola, etc.
Geometry covers principles of plane geometry including deductive reasoning, hypotheses, postulates, corollaries, conclusions, assumptions, and formal proofing; writing the converse, inverse, and contra positive of a theorem as well as constructing geometric figures using the basic tools of geometry. includes proving the Pythagorean theorem with a formal demonstration; finding the area of any triangle; applying principles relating to circles, angles, and arcs; identifying the first, second, third, and fourth term of a proportion; and constructing geometric figures using theorems and corollaries.
Incorporating art: Students learn geometry in nature and in arts. Students make line designs, circle designs, Op Art, Knot Designs, Islamic Tile Designs, and tessellations, etc.
Pre-Calculus covers using mathematical functions to identify the domain and range, forming compositions, finding inverses, graphing, and solving real-world problems. In this course students will be using trigonometric identities, the law of sines and cosines, and vectors; solving parametric equations, polar equations, systems of equations, conic sections; using discrete mathematics, including probabilities and statistics; and applying these skills in real-world situations.
Incorporating art: Students learn to graph many different shapes, by hand and by calculators, such as: circles, spiral of Archimedes, limacon, lemniscate, cardioid and rose.
Consumer math covers the study of practical applications of mathematical skills, such as buying a car, home, and insurance; budgeting; bank services; and savings and investing. This course includes taxes, math in the workplace, statistics, probability, measurement, and manufacturing, insurance, and supplying services.