Math Courses
Foundations Of Algebra
This course is designed to allow students to successfully master a variety
of algebra topics. The curriculum requires students to use algebra as
a tool for representing and solving a variety of practical problems. Tables
and graphs will be used to interpret algebraic expressions, equations,
and inequalities to analyze functions. Matrices will be used to organize
and manipulate data. Graphic calculators and computers will be used as
tools to enhance problem solving. (Prerequisite: None)
Geometry
This course is a unified study of plane, solid, and coordinate geometry.
The curriculum includes the study of lines, planes, congruencies, geometric
inequalities, perpendicularity of lines and planes in space, parallel
lines and planes, polygons, polyhedera, area, volumes, similarity, coordinate
and transformational geometry, circles, and spheres. Formal and informal
deductive reasoning skills are developed and applied to the construction
of formal proof. Every effort is made to incorporate advanced technology
into the curriculum through the use of calculators and computers. The
intent of this course is to frame a curriculum that ensures the development
of broad mathematical power and which cultivates students' abilities to
explore, conjecture, reason logically, formulate and solve problems, and
communicate mathematically. (Prerequisite: Algebra I)
The design of this course provides students with a more rigorous treatment
of Algebra II concepts including a more detailed study of polynomial functions,
rational expressions, domain, and range. A rapid pacing allows for the
inclusion of major topics in the study of triangle and circular trigonometry
as well as conic sections. Frequent opportunities are provided for students
to make connections between topics studied and other disciplines. Students
routinely use calculators to aid in the problem solving process.Prerequisite:
Algebra I and Geometry)
Math Analysis
Math Analysis allows students to extent their Algebra II and Trigonometry
skills to advanced topics including mathematical induction, matrix algebra,
vectors, and the binominal expansion. A detailed treatment of function
concepts deepens the students' abilities to deal concretely and abstractly
with mathematical topics. Additionally, the fundamentals of triangle and
circular trigonometry are presented with an emphasis on graphing, establishing
identities, developing special angle formulas, utilizing the Law of Sines
and Cosines, and polar coordinates. Making connections of the concepts
presented to other disciplines enhances the course of study. Students
routinely use graphing calculators as tools for exploratory activities
and for solving application problems. (Prerequisite: Algebra II/Trigonometry)
AP Computer Science AB
Advance Placement Computer Science AB is taught according to the suggestions
in the syllabus for Computer Science AB available through the College
Entrance Examination Board. Major topics in AP computer Science AB include
programming methodology, algorithms, and data structures. Topics for Advanced
Placement Computer Science are extended to include pointer types, prefix
and postfix notation, list heads, approximations, precisions, cases, and
operation on dynamic data. C++ programming language is used to implement
computer systems and the social implications of computing are integrated
into the course. Addition topics of JAVA and software development will
be introduced. (Prerequisite: CP 383 Computer Programming C++ Honors)
Applied Geometry
Applied Geometry is a unified study of plane, solid, coordinate, and
transformational geometry. The course extends the study of the basic principles
of geometry to include polygons, constructions, proportional reasoning,
circles, surface area and volume, and vectors. Graphic calculators and
computers will be used as tools to enhance problem solving. (Prerequisite:
Applied Algebra/Foundations of Geometry)
Algebra I
Algebra I incorporates all of the foundation skills that are necessary
for students to pursue college preparatory mathematics in high school.
The properties and operations on numbers are extended to include the development
of the real number system. Sets, equations, inequalities, exponents, polynomials,
functions, graphing, systems of equations and quadratics are the major
topics of study. Additionally, the ability to make comparisons of one-variable
data sets using statistical techniques including measures of central tendency,
range, stem-and-leaf plots, and box-and whisker graphs is an expectation
for all students in Algebra I. Graphic calculators will be utilized to
enhance the understanding of functions and provide a powerful tool for
solving and verifying solutions to equations and inequalities. Other existing
and emerging technologies are used as tools to facilitate the problem
solving process, data analysis techniques, and graphing. (Prerequisite:
None)
Algebra II
Algebra II extends the concepts that students have encountered in Algebra
I and Geometry and provides a thorough treatment of advanced algebraic
concepts. Emphasis will be placed on practical applications, logic of
procedures and interpretation of results. Graphing calculators and computers
will enhance the students' understanding. Students will be expected to
communicate and practice mathematical ideas appropriately. (Prerequisite:
Geometry)
Algebra II / Trigonometry
Algebra II / Trigonometry extends the concepts that students have encountered
in Algebra I and Geometry and provides a thorough treatment of advanced
algebraic concepts. Emphasis will be placed on practical applications,
logic of procedures and interpretation of results. This course provides
a thorough treatment of trigonometry through the perspectives of both
triangular and circular functions. Students routinely use calculators
as a tool when dealing with solutions to problem situations. Students
will be expected to communicate and practice mathematical ideas appropriately.
(Prerequisite: Algebra I)
Trig Analysis
Trig Analysis students use mathematical skills from previous courses
and apply abstract reasoning to the study of advanced topics. This course
provides a thorough treatment of trigonometry through the study of trigonometric
definitions, graphs, applications, equations and inequalities. The trigonometry
is approached from the perspectives of triangular and circular functions.
Students routinely use calculators as a tool and will be expected to communicate
and practice mathematical ideas appropriately. (Prerequisite: Algebra
II)
High School Calculus
High School Calculus is offered as an alternative to Advanced Placement
Calculus AB. Students' abilities to work effectively with major elementary
functions are strengthened, and students are introduced to differential
and integral calculus topics. High School Calculus is application-oriented
and exposure to detailed theory is limited. Topics covered provide a skill
review and serve as background for a first semester college calculus course.
To add depth to student understanding, graphing calculators are used for
instruction throughout the course of study. (Prerequisite: Trigonometry/Analysis
or Math Analysis Honors)
AP Calculus AB
AP Calculus AB explores the topics of limits/continuity, derivatives
and integrals.
These ideas are examined using a multi-layered approach including the
verbal,
numerical, analytical and graphical analysis of polynomial, rational,
trigonometric,
exponential, and logarithmic functions and their inverses. The student
will be expected to relate the connections among these approaches. Students
will also be required to synthesize knowledge of the topics of the course
to solve applications that model physical, social and/or economic situations.
These applications should emphasize derivatives as rates of change, local
linear approximations, optimizations and curve analysis and integrals
as Riemann sums, area of regions, volume of solids with known cross sections,
average value of functions and rectilinear motions. Teachers should consult
(yearly) the AP Board for changes in curriculum and emphasis of particular
topics.
As mandated by the College Board, graphing calculators will be required
for this course.
The appropriate calculator should have the following built-in capabilities:
1) Plotting functions with arbitrary viewing windows
2) Solving equations numerically-finding zeros of functions
3) Numerically calculating the derivative of a function
4) Numerically calculating the value of a definite integral
Students/Teachers should consult the College Board (www.collegeboard.com/ap)
for an up-to-date list of graphing calculators that are approved for use
on the AP examinations. (Prerequisite: Trigonometry/Analysis or Math Analysis
Honors)
Computer Math
Computer Math provides students with experiences in using computer programming
techniques and skills to solve problems that can be set up as mathematical
models. Programming concepts, problem solving strategies, and mathematical
applications will be integrated throughout the course. Students who successfully
complete the standards for this course may earn credit toward meeting
the mathematics graduation requirement. (Prerequisite: Algebra I and Geometry)
Trigonometry/Advanced Algebra
The design of the Trigonometry/Advanced Algebra course allows for the
extension of Algebra II concepts with an emphasis on functions, theory
of equations, graph theory, matrices, sequences and series, and conic
sections. Elementary trigonometric topics are introduced and fully developed
to include triangular and circular definitions of the trigonometric functions,
establishing identities, special angles formulas, Law of Sines, Law of
Cosines, and solutions of trigonometric equations. Constructing, interpreting,
and using graphs of the various function families is stressed throughout
the course of study. Students are encouraged to explore fundamental applications
of the topics studied with the use of graphing calculators. (Prerequisite:
Algebra II)
Probability and Statistics
The year course in probability and statistics exposes students to fundamental
concepts with emphasis on collecting data and interpreting data through
numerical methods. Specific topics include the binomial and normal distributions,
probability, linear correlation and regression, and other statistical
methods. The use of computers and calculators enhances the leaning process
and provides students with experiences in working with emerging technologies.
This course will enable students to be use users of statistical methods
and more critical consumers of statistical materials. (Prerequisite: Algebra
II)
AP Statistics
Students will be taught the concepts and skills needed to complete successfully
the AP Statistics exam. These topics include: collecting and interpreting
data through numerical methods, binomial and normal distribution, probability,
linear correlation and regression, analysis of variance, and other descriptive
statistical methods. Students should be able to transform data to aid
in data interpretation and prediction and test hypotheses using appropriate
statistics. (Prerequisite: Integrated Precalculus II or Advanced Precalculs
I or Algebra II