APPLIED MATH-CORD I, II, III
Following the curriculum developed by the Center for Occupational Research and Development (CORD), these courses use a competency-based approach to the learning of general math, pre-algebra, and pre-geometry topics, and emphasize occupationally-related applications and problem-solving techniques. The 37 units of Applied Math-CORD courses cover the following topics.
APPLIED MATH-CORD I (3)9-10-11-12REQUIRED
Applied Math I CORD will cover units A, B, and C and units 1 - 12 which include estimation; measurement; working with data (including the use of graphs, charts, and tables); lines and angles; two - and three-dimensional figures; ratio and proportion; scale drawings; signed numbers and vectors; and scientific notation.
APPLIED MATH-CORD II (3) 10-11-12REQUIRED
Prerequisite - Applied Math-CORD I
Applied Math II will continue with units 13 - 27 which include precision, accuracy, and tolerance; exponents and radicals; formulas; linear and nonlinear equations; statistics and probability; right-triangle relationships; trigonometric functions; quadratics and inequalities.
APPLIED MATH-CORD III (1) 11-12ELECTIVE
Prerequisite - Applied Math-CORD II
Applied Math III will continue with units 28 - 37 which include applications of Geometry in the world of work, practice of quality assurance and process control, use spatial visualization geometry, logic, and transformations in the world of work.
ALGEBRA I (3)9-10-11-12REQUIRED
or ACCELERATED ALGEBRA I
Algebra I courses include the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations.
Review topics: ratio and proportion, operations with sets, simplifying radical expressions, operations with exponents, and solution of simple linear equations.
Enhancement topics: field properties and theorems, set theory, solving systems of linear equations and inequalities, and solving and graphing more complete quadratic equations. The accelerated class will cover material at a more rigorous pace, study advanced career problems (marine biology, chemical mixtures, world import, export, statistics, medical, etc.) at this level, and be graded at a higher level of assessment.
GEOMETRY (3)9-10-11-12REQUIRED
Prerequisite - Algebra I
Geometry will emphasize an abstract, formal approach to the study of geometry, include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; rules of congruence, similarity, parallelism, and perpendicularity; and rules of angle measurement in triangles, including trigonometry, coordinate geometry, and transformational geometry.
Review topics: basic measurement, perimeter, area, and volume, and inductive methods of reasoning.
Enhancement topics: topology, locus, and non-Euclidean geometries.
ALGEBRA II/TRIGONOMETRY (1,3)10-11-12ELECTIVE
or ACCELERATED ALGEBRA II/TRIGONOMETRY
Prerequisite - Geometry
Algebra II/Trigonometry courses combine topics from both of these courses for students who have attained Algebra I and Geometry objectives. Topics include field proprieties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; properties of high degree equations; operations with rational and irrational exponents; right trigonometric identities and equations; solutions of right and oblique triangles; complex numbers; and numerical tables.
Review topics: operations involving real numbers, evaluating rational algebraic expressions, solving and graphing first degree equations and inequalities, operations with and factoring of polynomials, and solving simple quadratics.
Enhancement topics: polynomial, logarithmic, and exponential functions and graphs; conic sections; vectors; graphing in the polar coordinate system; elementary probability and statistics; matrices and determinants; and sequences and series.
The accelerated class will cover material at a more rigorous pace, study advanced career problems (decompression, statistics, food production, maximum, minimum, life models, etc.) at this level and be graded at a higher level of assessment.
PRE-CALCULUS (1,3)11-12ELECTIVE
or ACCELERATED PRE-CALCULUS
Prerequisite - Algebra II/Trigonometry
Pre-calculus courses combine the study of Trigonometry, Elementary Functions, Analytic Geometry, and Math Analysis topics as preparation for calculus. Topics include the study of complex numbers; polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverses and graphs; trigonometric identities and equations; solutions of right and oblique triangles; vectors; the polar coordinate system; conic sections; Boolean algebra and symbolic logic; mathematical induction; matrix algebra; sequences and series; and limits and continuity.
Review topics: structure of the real number system, solutions of linear and quadratic equations and systems of these equations.
Enhancement topics: elementary probability and statistics, derivatives, and integrals.
The accelerated class will cover material at a more rigorous pace, study advanced career problems (data analysis, aerodynamic products, design, medicine, earthquakes, spread of virus, satellites, highway design, etc.) at this level and be graded at a higher level of assessment.
AP CALCULUS AB (3)12ELECTIVE
Prerequisite - Pre-Calculus
FEE - AP EXAM COST - OPTIONAL
AP Calculus AB provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications. This course will introduce calculus and include the following topics; elementary functions; properties of functions and their graphs; limits and continuity; differential calculus (including definition of the derivative, derivative formulas, theorems about derivatives, geometric applications, optimization problems, and rate-of-change problems), and integral calculus (including antiderivatives and the definite integral).
Note: Students will have the option of taking the AP Calculus AB exam and may earn college credit. There is a cost for the exam.
AP STATISTICS (2)11-12 ELECTIVE
Prerequisite - Algebra I and Geometry or Applied Math I and II
FEE - AP EXAM COST - OPTIONAL
Statistics is an Algebra II level course which emphasizes both descriptive and inferential statistics. Topics include event probability; probability distributions including binomial and normal distributions; analysis of data; measures of central tendency and variability; random variables; random sampling; central limit theorem; confidence intervals; and hypothesis testing.
Enhancement topics: nonparametric statistics, multinomial theorem and chi-square tests, ordinary least squares, and simple regression.
Note: Students will have the option of taking the AP Statistics exam and may earn college credit. There is a cost for the exam.
MATHEMATICS OF PERSONAL FINANCE (1,2) 10-11-12ELECTIVE
The understanding and the application of home management becomes more complex with the passing of time. Therefore, the objectives of this course will be to provide experience, contact with, and an understanding of those mathematical and economic factors which are important to the handling of personal financial affairs. These will include Probability; Statistics; Income, Purchasing and Budgeting; Personal and Consumer Credit and Banking; Buying, Operating and Using an Automobile; Renting, Buying, and Building a Home; and Taxes, Insurance, and Investments. While this course may apply toward the graduation requirement, other students may find it beneficial for developing their personal financial plan.