FOUNDATIONS I

STANDARD

This course is designed to prepare high school students for everyday life as well as success in future mathematics courses.  This course presents fundamental algebra and geometry ideas that are the foundation for later study.  Some topics include working with data, communicating mathematics, patterns, and equations.  Use of calculators and various manipulatives is encouraged throughout the course.

FOUNDATIONS II

STANDARD

This course is designed to apply the principles learned in Foundations 1.  The students will continue their study of the fundamentals of algebra and geometry.  Some topics include spatial relations, ratio and proportion, probability and decision-making, and relations and functions.  Use of calculators and various manipulatives is encouraged throughout the course.

Prerequisite:  Successful completion of Foundations I.

FOUNDATIONS III

STANDARD

This course is designed to prepare high school students for everyday situations in money management.  Some topics covered are checking accounts, savings accounts, loans, taxes, consumer shopping, buying a car, and map skills.

Prerequisite:  Successful completion of Foundations I and Foundations II.

TOPICS IN MATHEMATICS

STANDARD

This course is designed to expose the students to the strands of algebra and functions, statistics and probability, geometry and measurement, and discrete mathematics.  These strands are unified by such ideas as patterns of change, patterns in space and visualization, and data collection and analysis.  Some topics covered are solving linear and quadratic equations and inequalities, graphing functions, exponents and radicals, measures of central tendency and variation, and probability.  This course requires extensive use of a graphing calculator. Graphing calculators and manipulatives will be encouraged throughout the course.

Prerequisite:  Successful completion of Foundations I, Foundations II, and Foundations III or Algebra Part I, Algebra Part II, and Geometry. This course is restricted to juniors and seniors.

ALGEBRA

COLLEGE PREPARATORY

This course is designed to continue with the concepts introduced in Transitions.  This course has a scope far wider than that of most other algebra courses.  Applications motivate all topics.  Some topics covered include uses of variables and algebraic operations as related to real numbers and sets, writing and solving linear equations and inequalities, and usage of exponents and graphing of linear systems.  Other topics covered are relations and functions, quadratic equations and inequalities, solving and graphing linear and quadratic systems, exponential growth and compound interest. Statistics and geometry are settings for work with linear expressions and sentences.  Probability provides a context for algebraic fractions and set ideas.  Each example covered includes examples modeled from real-life situations.  Use of calculators and manipulatives is encouraged throughout the course.

Prerequisite:  Successful completion of Transitions I & II.

ALGEBRA (Part I)

STANDARD

This course is designed to continue with the concepts introduced in Transitions. This course has a scope far wider than that of most other algebra courses.  Applications motivate all topics.  Some topics covered include uses of variables and algebraic operations as related to real numbers and sets, writing and solving linear equations and inequalities, usage of exponents and graphing of linear systems.  Each example covered includes examples modeled from real-life situations.  Use of calculators and manipulatives is encouraged throughout the course.

ALGEBRA (Part II)

STANDARD

This course is a continuation of material covered in Algebra (Part I).  It is a continuation of an integrated series, which presents statistics, probability, and geometry within the Algebra concepts.  Applications motivate all topics.  Some topics covered include relations and functions, quadratic equations and inequalities, solving and graphing linear and quadratic systems, exponential growth and compound interest.  Statistics and geometry are settings for work with linear expressions and sentences.  Probability provides a context for algebraic fractions and set ideas.  Each example covered includes examples modeled from real-life situations.  Use of calculators and manipulatives is encouraged throughout the course.

Prerequisite:  Successful completion of Algebra (Part I).

GEOMETRY

HONORS

This course is designed to develop relationships between points, lines, and planes; to discuss plane figures with emphasis on congruency and similarity; to integrate coordinates and transformations; and to work extensively with measurement formulas and three-dimensional figures. The students will be introduced to formal proofs as a means of teaching the process of deductive reasoning.  Some topics covered are angles, perpendicularity, parallelism, triangles, quadrilaterals, circles, areas and coordinate and spatial geometry.  Two semester projects are required.

Prerequisite:  Successful completion of Algebra H or CP.

GEOMETRY

COLLEGE PREPARATORY

This course is designed to develop relationships between points, lines, and planes; to discuss plane figures with emphasis on congruency and similarity; to integrate coordinates and transformations; and to work extensively with measurement formulas and three-dimensional figures. The students will be introduced to formal proofs as a means of teaching the process of deductive reasoning.  Some topics covered are angles, perpendicularity, parallelism, triangles, quadrilaterals, circles, areas and coordinate and spatial geometry. One semester project is required.

Prerequisite:  Successful completion of Algebra H or CP.

GEOMETRY

STANDARD

This course is designed to present all of the geometric concepts usually presented in a formal geometry course in an investigative and application-oriented format.  This course emphasizes the hands-on approach to learning geometric skills without the rigor of formal proof.  It is an alternative to the traditional high school geometry course.

Prerequisite:  Successful completion of Algebra CP, or Algebra (Part I) and Algebra (Part II). 

ADVANCED ALGEBRA

HONORS

This course is designed to give an extension of ideas discussed in Algebra and Geometry.  This course emphasizes facility with both linear and quadratic algebraic expressions and forms, powers and roots, and functions based on these concepts.  In addition, logarithmic, trigonometric, and polynomial functions will be discussed for both their abstract properties as well as their modeling of real-world situations.  Two semester projects are required.  Graphing calculators will be used throughout the course.

Prerequisite:  Successful completion of Algebra H or CP, and Geometry H or CP.

ADVANCED ALGEBRA

COLLEGE PREPARATORY

This course is designed to give an extension of ideas discussed in Algebra and Geometry.  This course emphasizes facility with both linear and quadratic algebraic expressions and forms, powers and roots, and functions based on these concepts.  In addition, polynomial functions will be discussed for both their abstract properties as well as their modeling of real-world situations. One semester project is

required. Graphing calculators will be used throughout the course.

Prerequisite:  Successful completion of Algebra H or CP, and Geometry H or CP.

FUNCTIONS, STATISTICS,  AND TRIGONOMETRY (FST)

HONORS

This course includes an introduction to statistics as well as concepts of functions and trigonometry.  Students apply the algebra and geometry that they have studied in previous years or are studying concurrently.  Some topics include organizing and presenting data, linear regressions, line of best fit, exponential and quadratic models, step functions, graphs and transformations of graphs, circular functions, trigonometric functions, power, logarithmic, and root functions. Two semester projects are required. This course requires extensive use of a graphing calculator.

Prerequisite:  Successful completion of Algebra H or CP, Geometry H or CP, and Advanced Algebra H or CP.*

*Advanced Algebra may be concurrent course.  Student must have received a B or better in Advanced Algebra: if Advanced Algebra is concurrent must have received a B or better in Algebra and Geometry.

FUNCTIONS, STATISTICS, AND TRIGONOMETRY (FST)

COLLEGE PREPARATORY

This course is a continuation of the integrated series that stresses fundamental concepts of trigonometry while incorporating algebra, statistics, probability, and geometry discussed during previous courses.  Some topics include basic statistics and exploration of data, linear, quadratic, and exponential models, graphs and transformations of graphs, circular functions, trigonometric functions, power, logarithmic, and root functions. One semester project is required. This course requires extensive use of a graphing calculator.

Prerequisite:  Successful completion of Algebra H or CP, Geometry H or CP, and Advanced Algebra H or CP.

TRIGONOMETRY/STATISTICS

COLLEGE PREPARATORY

This course is designed to expose the students to the strands of algebra and functions, statistics and probability, and geometry and trigonometry at a college preparatory level.  These strands are unified by such ideas as patterns of change, patterns in space and visualization, and data collection and analysis.  Some topics covered are solving linear, quadratic, and rational equations and inequalities, graphing functions, exponents and radicals, angular measure and trigonometric functions and their applications, solving right and oblique triangles, measures of central tendency and variation, and probability.  This course requires extensive use of a graphing calculator.

Prerequisite:  Successful completion of Algebra H or CP, Geometry H or CP, and Advanced Algebra H or CP. This course is restricted to juniors and seniors.

PRE-CALCULUS

HONORS

This course is designed to enrich and broaden the student’s background in Algebra and Trigonometry.  This course is also designed to prepare for Calculus 1 or freshman college mathematics courses.  Some topics to be covered are functional notation and the theory of functions, limit theory, matrices, vectors, polar graphing, analytical geometry, logarithms, sequences and series, mathematical induction, and the binomial theorem. This course requires extensive use of a graphing calculator.

Prerequisite:  Successful completion of Algebra H, Geometry H, Advanced Algebra H, and FST H.*

*FST H may be concurrent course.  A personal interview and a summer project are required. The student must have received a B or better in FST.

MATHEMATICAL ANALYSIS

COLLEGE PREPARATORY

This course is designed to enrich and broaden the student's background in Algebra and Trigonometry.  This course is also designed to help prepare the student for college level mathematics.  Some topics to be covered include polynomial functions and inequalities, rules of exponents and logarithms, and trigonometric functions and equations.  If time allows, there will be an introduction to limits.  One semester project is required. This course requires extensive use of a graphing calculator.

Prerequisite:  Successful completion of Algebra H or CP, Geometry H or CP, Advanced Algebra H or CP, and FST H or CP.

CALCULUS

HONORS

This course is designed to cover the fundamental concepts and application of both differential and integral calculus.  Some topics to be covered are rates of change of variables and functions, limits, continuity, derivatives, and integrals.  Two semester projects are required. This course requires extensive use of a graphing calculator.

Prerequisite:  Successful completion of Algebra H or CP, Geometry H or CP, Advanced Algebra H or CP, FST H or CP and Pre-Calculus H or CP.

AP CALCULUS

ADVANCED PLACEMENT                     

This course is designed to cover the concepts and applications of both differential and integral calculus.  Some topics to be covered are rates of change of variables and functions, limits, continuity, derivative, and integrals. This course requires extensive use of a graphing calculator.  This course requires the student to take the AP exam in the spring.

Prerequisite:  Successful completion of Algebra H, Geometry H, Advanced Algebra H, FST H and Pre-Calculus H. A personal interview and a summer project are required.

TRANSITIONAL MATH

STANDARD

This course is designed for LEP students.  The scope of the course will be review of basic skills through Pre-Algebra.  Students will be instructed in a sheltered setting. Placement in this course is by direction of the LEP director.

TRANSITIONAL ALGEBRA

COLLEGE PREPARATORY

This course is designed for students with a limited English background (LEP).  Some students may also be completely non-English speaking as placement is also based on the level of mathematics attained by the student.  This level is substantiated by either transcript and/or testing. Placement in this course is by direction of the LEP director.