The curriculum in mathematics is designed to serve
students of varying abilities and interests. While three credits in mathematics
will satisfy graduation requirements, students are encouraged to avail
themselves of the many elective offerings.
The curriculumÕs divided into four categories:
Honors -Most accelerated pace and rigorous in approach. Meets maximum college requirements.
Level One
-Less accelerated pace and not as rigorous in approach. Meets standard requirements.
Level Two
- Moderate pace with little emphasis on proofs. Meets
minimum college requirements.
Level
Three - Does not meet minimum college requirements. Vocational
courses are offered in the following areas:
(1)Applied
Mathematics
(2)Technology
Construction
(3)Integrated
Mathematics
*All
students must earn at least two of the three math credits needed for graduation
from the Mathematics Department.
The
following guidelines are suggested by the mathematics staff:
Honors: College
Preparatory
First Year
- -Honors Geometry
Second Year - -Honors
Algebra II
Third Year -
-Honors Pre-Calculus
Fourth Year - -Honors
Calculus
Level One: College Preparatory
First
Year- -Algebra I
Second Year- -Geometry
Third
Year- -Algebra II
Fourth
Year- -Pre-Calculus or
Probability and Statistics (1st semester)
-Calculus
(2nd semester)
-Elementary
Mathematical Modeling
Level Two: College Preparatory
First
Year-
-Algebra I
Second Year- -Geometry
Third Year-
-Algebra II
-College Mathematics with Applications 1 (1st Semester)
-College Mathematics with Applications 2 (2nd
Semester)
Fourth
Year- -Probability and
Statistics (1st semester)
-Trigonometry
(2nd semester)
Students
who have not mastered the fundamental skills of arithmetic should take
pre-algebra before starting the above courses.
Vocational
Program:
First
Year-
-Applied Math I (1st semester)
-Applied
Math II (2nd semester)
Second
Year- -Integrated Mathematics I
Third
Year- -Integrated
Mathematics II
Fourth
Year- - TechnologyÕs Math/Construction
FULL-YEAR
COURSES
(1 Credit)
PRE-ALGEBRA
#0602 - Level 2
Grades
9, 10, 11
This course is for those students who are not ready for a first
course in Algebra. It contains the mathematical content needed for students to
succeed in Algebra. Emphasis in on computational skills,
introductory algebra topics, and problem solving.
ALGEBRA I
#0601 - Level 1 Grades
9, 10, 11, 12
Algebra I provides the basic foundation
for subsequent courses in mathematics. Emphasis is on the understanding of
mathematical concepts and the development of a mathematical structure that can
be extended to the more complicated areas of mathematics. Topics include
operations with rational factors and exponents, linear and simple quadratic
equations.
ALGEBRA I
#0606 - Level 2 Grades
9, 10, 11, 12
This course covers, at a slower pace, the essential topics of
Algebra I, level I, but mathematical structure is emphasized to a lesser
degree. More time is devoted to the development and understanding of concepts
and provision is made for extensive practice in their application.
INTEGRATED MATHEMATICS A
#0643 Ð level 3 Grades 9, 10, 11, 12
This course is basically designed to develop and maintain a high
degree of proficiency in arithmetic skills. Calculators will be used
extensively. The second half of the course will deal with praticial
application of mathematics. The aim is to improve computational skills while
focusing attention on solving problems that occur in everyday life. Computer
software will be used.
GEOMETRY
#0605 - Level 1 Grades
9, 10, 11, 12
Prerequisite: Grade of C- or
better in Algebra I, Level I
The structure of mathematics, leading systematically from
definitions, properties, and postulates to theorems and corollaries, is
emphasized. Topics include: properties of lines, planes, and angles; parallel
and perpendicular lines and planes; congruence and similarity, coordinate
systems in a plane, space coordinates, areas and volumes.
GEOMETRY
#0612 - Level 2 Grades
10, 11, 12
Prerequisite: Algebra I
This course stresses basic geometric concepts and understanding
developed inductively through constructions, paper folding, and computer
software. Topics include: properties of lines, planes, and angles; parallel and
perpendicular lines and planes; congruence and similarity; areas and volumes.
HONORS GEOMETRY
#0614 Ð Honors
Grades 9, 10
Prerequisite: Grade of B+ in
Algebra I, Level I
*See description in Honors Program section
HONORS ALGEBRA I
#0604 Ð Honors
Grade 9
Prerequisite: Grade of B+ in
eighth grade mathematics
*See description in Honors Program section
HONORS ALGEBRA II
#0634 ÐHonors
Grades: 9,10, 11, 12
Prerequisite: Grade of B+ in
Geometry, level 1.
*See description in Honors Program section
INTEGRATED MATHEMATICS 1
#0647 - Level 3
Grades 9, 10, 11, 12
Prerequisite: One credit of Mathematics
This course will prepare students for success in careers and
daily lives. Topics from algebra, geometry, logical reasoning, measurement,
probability, and statistics are interwoven throughout the course. Strategies
will include: hands-on, real-life application, exploratory activities and
projects, and use of technology.
HONORS PRE-CALCULUS
#0693 Ð Honors
Grade 11
Prerequisite: Grade of B+ in
Algebra II
*See description in Honors Program section
HONORS CALCULUS
#0694 Ð Honors
Prerequisite: Grade of B- in Honors Pre-Calculus. Credit may be
given by the
*See description in Honors Program section
ALGEBRA II
#0608 - Level 1
Grades 10, 11, 12
Prerequisite: Geometry
This course included an in-depth study of those topics listed in
the course description of Algebra II, Level 2
ALGEBRA II
#0619 - Level 2
Grades 11, 12
Prerequisite: Geometry
The study of the logical structure of the real number system is
used to review and expand the topics of elementary algebra. Course content
includes linear and quadratic functions, complex number systems, systems of equations in two and three variables, sequences
and series.
ELEMENTARY MATHEMATICAL MODELING
#0695 Ð level 1
Prerequisite: Grade of B- in Algebra II, level I
Grade 12
Open to seniors only. Use of algebraic and
trigonometric functions with technology to analyze quantitative relationships
and illustrate the role of mathematics in modern life. Graphing
calculators will be used extensively. Not open to students who have passed
Pre-Calculus. Credit may be given by the
INTEGRATED MATHEMATICS II
#0648 - Level 3
Grades 11, 12
Prerequisite: Integrated
Mathematics I
This course builds on the mathematical topics and problem
solving techniques introduced in
PRE-CALCULUS
#0628 - Level 1
Grade 11
Prerequisite: Grade of C in
Algebra II, Level 1
This course includes concepts and skills which are necessary for
the study of calculus. Topics will include: functions, graphs, zeros, conic
sections, exponential functions, logarithmic functions, trigonometric
functions, analytic trigonometry, applications of
trigonometry, parametric equations and polar coordinates. The use of graphing
calculators is an integral part of the curriculum.
FIRST-SEMESTER COURSES
(1Ú2
Credit)
PROBABILITY AND STATISTICS
#0641
Level
1 Grade
12
Prerequisite: Grade of B-in
Algebra II level 1
Standard and nonparametric
approaches to statistical analysis; exploratory data analysis, elementary
probability, sampling distributions, estimation and hypothesis testing. Learning
to statistical analysis on a personal computer is an integral part of the
course. Credit may be given by the
PROBABILITY AND STATISTICS
#0642 Ð
Level 2
Grade
12
Prerequisite: Grade of C- in Algebra II level 2
This course provides an introduction to probability and
statistics covering topics in descriptive statistics, fundamentals of
probability and probability distributions. Mathematical skills of algebra II,
the graphing calculator, and computer software are used to provide the basic
skills in statistical analyses used in many fields of study such as business
and social sciences.
PRE-CALCULUS
#0611 Ð
Level
1 Grade
12
Prerequisite: Grade of B- in
Algebra II, level 1
This course both encompasses and extends topics and concepts of
intermediate algebra. The goal is to develop proficiency in, and to expand the
understanding of, the following areas: linear relations, theory of equations,
circular and trigonometric function, inverse functions, exponential and
logarithmic functions, and conic sections. Graphing calculators will be used
extensively.
COLLEGE MATHEMATICS WITH
APPLICATIONS I
#0645
Level
2 Grade
11, 12
Prerequisite: Algebra II
This course provides a general survey of mathematical topics
that are useful in our contemporary world. Topics from algebra, logic, set
theory, problem solving, financial management, and measurement are spiraled
through the course. Graphing calculators will be used extensively.
Second
Semester Course
(1/2
Credit)
TECHNOLOGY'S MATH/CONSTRUCTION
#0698
Level 2 and 3
Grades 9, 10, 11, 12
An interdisciplinary team-taught
course, involving the Technology and Mathematics departments, designed to
prepare students to develop, refine, and apply job-related mathematical skills
in the construction/manufacturing area. The
course includes material that focuses on problem-solving techniques, which
incorporate math skills from fundamental math, algebra, geometry, and
statistical courses. Resources include computer software applications, the use
of graphing calculators and many practical applications including hands-on
construction and building in the Technology labs. The emphasis will be on the
ability to understand and apply appropriate mathematical concepts and hands-on
skills in a technological environment similar to one that will be encountered
in the world of work.
TRIGONOMETRY
#0629
Level 2
Grades 12
Prerequisite: Algebra II
The properties of the trigonometric functions are studied with
emphasis placed upon the use of trigonometric identities, graphing, and the
solution of trigonometric equations. Solution of triangles using the Law of Sines and the Law of Cosines is also stressed.
CALCULUS
#0638
Level 1 Grades
12
Prerequisite - Grade of C in
Pre-Calculus
Topics in advanced mathematics are explored using the limit
concept as a central theme.
Topics include: limits of functions, derivatives, extreme, roots of polynomials, area functions, and integrals.
COLLEGE MATHEMATICS WITH APPLICATIONS II
#0646
Level 2
Grades 11, 12
Prerequisite: Algebra II
This course provides a general survey of mathematical topics
that are useful in our contemporary world. Topics from geometry, probability,
statistics, mathematical systems, voting and apportionment, and graph theory
are spiraled through the course. Graphing calculators will be used extensively.
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