The Ancients believed the accomplished man needed to be educated in both the trivium of grammar, logic, and rhetoric, and the quadrivium of arithmetic, geometry, music, and astronomy. Coram Deo Academy is dedicated to producing mathematicians, young people able to understand the language in which God wrote the universe. We agree with the one who observed, “Man did not invent math, he merely discovers it.” Mastery of mathematics allows an individual to relate to his world in a way that no other discipline does, and each of our students will complete four years of study.
Algebra
Algebra I is the first step in the quadrivium. This course is the entryway and crucial foundation to higher mathematics, the bridge from concrete to abstract. Real numbers and their properties, quadratic equations, linear equations, polynomials, exponents, algebraic fractions, radical equations, inequalities, and functions are covered with an emphasis on application of these principles to real world problem-solving. The text, Algebra I: Expressions, Equations, and Applications, 3rd Edition (Foerster; Pearson Education, pub) is thorough yet accessible. The course is usually taken by freshman, but is open by permission to advanced 8th-graders. (5 credits)
Algebra II
This course builds on and extends the concepts first seen in Algebra. The student will deal with equations and inequalities, linear equations and functions, linear systems, matrices, quadratic functions and factoring, polynomials and polynomial functions, rational exponents and radical functions, exponential and logarithmic functions, rational functions, conic sections, permutations, combinations and probability, data analysis and statistics, sequences, and series. The text is Algebra 2 (Larson; McDougal-Littell, pub.).
Geometry
Geometry is the second step in the quadrivium. The student will deal with points, lines, planes and angles, deductive and inductive reasoning, if-then statements, parallel lines and planes, congruent triangles, geometric proof, quadrilaterals, inequalities, indirect proof, ratio, proportion and similarity, similar polygons, right triangles, circles, tangents, arcs, chords, angles, geometric construction and loci, area and volume, geometric probability coordinate geometry, and transformations. The textbook is Goemetry (classic edition) (Jurgensen, Brown, Jurgensen; Houghton-Mifflin, pub.).
Precalculus – Trigonometry
This course draws together the lessons of algebra and geometry in preparation for the more advanced work of calculus. The student will cover equations and inequalities, functions and their graphs, transformations of functions, parametric relations and inverses, modeling with functions, power and rational functions, polynomials, exponential and logarithmic functions, trigonometric functions, analytic trigonometry and applications, systems and matrices, conic sections, permutations, combinations and probability, sequences, series, and statistics. The textbook is Pre-Calculus: Graphical, Numerical, Algebraic, 7th edition (Demana, Waits, Kennedy, Foley; Addison-Wesley, pub.).
Calculus
This course is the crown of the math department. It is taught at a level intended to thoroughly prepare the student for a college-level math courses. The student will cover functions and graphing, limits and continuity, derivatives and differentiability, derivative applications, finite sums, definite integral, slope fields, applications of definite integrals, sequences, L’Hopital’s Rule, Infinite Series, parametric and polar functions. The textbook is Calculus: Graphical, Numerical, Algebraic, 3rd edition, AP edition (Demana, Waits, Kennedy, Foley; Prentice Hall, pub.).