Mathematics Discovering the power of reasoning through the language of number and notation

Mathematical knowledge, whether related to grandiose architectural schemes, to the logistics of trade or war, to determination of the calendar or the kind of reasoning used to solve tricky legal problems, is not a thing separate and of itself, but part of the totality of human interaction.     John Mcleish

Mathematics in the Elementary School and Middle School involves number and number theory experiences which help increase the understanding of the discipline.

In the Elementary School, the students: In the Middle School, the students: Mathematics in the Junior High and High School is an in-depth exploration of the classical sequential disciplines.

In the Junior High, the students: In High School, students follow a required sequence in the discipline: Followed by electives to fulfill recommended mathematics credits for college admission:

If a Man's wit be wandering, let him study Mathematics. Francis Bacon

Course Description 1 year; 1 credit
Textbooks: Algebra: Structure and Method (McDougal Littel
Course Content and Objectives: To master the basic principles of Algebra and algebraic reasoning: variables; equations; writing and solving equations; assumptions; operations with integers; properties of algebra. Topics included: using several transformations to solve equations with variables on both sides; cost, income, and value; operations with polynomials; powers of monomials; transforming formulas; problems involving rate, time, distance, and area; factoring integers; polynomials; products and factors; difference of perfect squares; squares of binomials; factoring patterns; and application of factoring. 1 year; 1 credit
Textbooks: Advanced Algebra (Holt Rhinehart and Winston)
Course Content and Objectives: To expand and apply basic algebraic principles using real life situations. Assignments were personalized after discussion of the topics: variation, exponents, functions, parametric equations, matrices, linear equations and inequalities, quadratics, imaginary numbers, complex numbers, and factoring polynomials. Topics included: products of linear functions; factoring polynomials, division of polynomials; applications of functions; exponential growth and decay; logarithmic functions; operations with logarithms, common logs, natural logs; special right triangles; the unit circle; basic trig including: sine, cosine, and tangent; the behaviors of graphs of sine and cosine; radian measure; arc length and area of sections; Law of Sines; Law of Cosines; circular functions; sum and difference identities. 1 year; 1 credit
Textbooks: Calculus With Analytical Geometry: Early Transcendentals (McDougal Littel)
Course Content and Objectives: This course stresses the concepts of functions using a process of numeric, graphic, and symbolic representation. The core topics of limits, continuity, differentiation, and integration are approached through application. The use of technology as a tool for visualization and approximation is essential. Prerequisite: Calculus
1 year; 1 credit
Textbooks: As assigned by College Board
Course Content and Objectives: This course follows the guidelines of the College Board AP course. Topics in differential and integral calculus are stressed. Practical application is encouraged. Familiarity with advanced technology is required. 1 year; 1 credit
Textbooks: Geometry (Glencoe)
Course Content and Objectives: To understand and apply the principles of Geometry through a proof based approach. Assignments were personalized after discussion of the topics: deductive reasoning, proof forms, perpendicularity, properties of congruent triangles, proving congruency, basic theorems, properties of polygons, 3-dimensional figures. Topics included: lines; planes; perpendicularity; parallel lines; triangle application theorem; triangle orientation theorem; formulas involving polygons; regular polygons; ratio and proportion; similarity; radicals and quadratic equations; altitude to the hypotenuse; Pythagorean theorem; trigonometric ratios; circles; congruent chords; arcs of circles; secants; tangents; inscribed and central angles; and inscribed and circumscribed polygons. 1 year; 1 credit
Textbooks: A Survey Of Mathematics With Applications (Addison Wesley)
Course Content and Objectives: Topics covered: Critical thinking skills of inductive and deductive reasoning, estimation and problem solving; sets and Venn diagrams; Logic including Euler Diagrams and Syllogistic Arguments; systems of numeration; number theory and the real number system; algebra, graphs, and functions; systems of linear equations and inequalities; the Metric System; geometry including non-Euclidean and Fractal geometry; mathematical systems; consumer mathematics; probability; and statistics. 1 year; 1 credit
Textbooks: TBA
Course Content and Objectives: Collection, analysis, collation, interpretation, and representation of data using mathematical graphic applications. 1 year; 1 credit
Textbooks: Functions, Statistics, and Trigonometry (UCMP)
Course Content and Objectives: This course integrates the concepts of functions and trigonometry with the statistics and data analysis. Topics included: traditional topics are combined with matrix representation and exploration of phenomena using trigonometric functions. A broad incorporation of technology encourages experimentation and develops problem solving skills.