AP-Calculus

Coram Deo Academy Calculus students will gain a conceptual understanding of this most applied, comprehensive, and difficult of high-school mathematics classes by studying its concepts geometrically, numerically, algebraically, and verbally. In the first half of the year students will study the domain, range, continuity, limits, and algebraic properties of functions, learn to compute derivatives of a wide range of functions, and apply this knowledge to rate-of-change application problems. In the second part of the year computation of the integral will be taught, along with its various applications in the natural sciences. Historical figures, theorems, controversies, and problems, and their impact on economical and scientific culture will be integrated throughout the course. In summary, rather than thinking of math as a problem set, the student will learn to see Calculus and the Mathematical Sciences as a whole as a logical way of viewing, appreciating, and subduing the world to God’s glory.

Integrated Mathematics

Integrated Mathematics is specifically designed for the 12^th grade student that did not enroll in Calculus AP.  This optional course is ideally suited for those students not anticipating a technically based college program but supportive of the fact that most of these students are likely to be required to take some college level Math courses.  The Integrated Mathematics student will; 1) Review and expand advanced Algebra concepts, 2) Learn the concepts, terms and real-life applications of Statistics and Probability, and 3) Apply previously learned concepts like exponential functions to specific financial applications on a macro-economic and micro-economic level.

The College Algebra preparation will review from previous texts the concepts most likely to appear in a freshman-level College Algebra course.  This section of the Integrated Math course will be most traditional involving problem solution and repetitive techniques to aid in the retention of these concepts.

The sections regarding Statistics and Probability will be a mixture of traditional textbook learning and student project development.  Specific chapters of a previous text are used as a basis for introduction of new material.  In addition to this the student will be working on a chosen application whereby they will present their individual application of these concepts to the class.  Student Investigations will reinforce not only the desired mathematical skills, but also the training in Rhetoric.

The final section of the course will address Financial and Accounting applications which are direct applications of previously learned math concepts.  On a macro-economic scale, students will be exposed to supply and demand curves and the mathematics of the money supply models.  This is designed to introduce the student to the calculation of these theories and not intended to promote any particular model.  The student will also participate in a stock market tracking simulation.

The Finance and Accounting portion will also include specific micro-economic projects like evaluating a car loan and understanding credit card debt.  The future stewardship of financial resources is the focus of this section.