## Mathematics Department Courses

**Core**

These courses will focus on the fundamental concepts
of a particular mathematics course, as well as the development of the ideas and
the relationship of these ideas that constitute that particular branch of
mathematics.

**Academic**

The requirements of these courses will be the same as
that of core courses. In addition, the students will branch out into more
detailed investigations of the core concepts and the fundamentals of
mathematics. Students in these courses
will be required to provide more in-depth explanations of the concepts
discussed in class. In addition to a
more in-depth approach to the content, the pace of the course will also be
increased and require more independent work.

**Honors**

The requirements of these courses will be the same as
that of academic courses. In addition to the academic requirements, students
will be asked to explore the core concepts and fundamentals of the course
content in greater depth and also be asked to use higher level thinking skills
to make connections among various aspects and branches of mathematics. Students at this level will be asked to
perform additional independent work throughout the course and move at a more
accelerated pace compared to academic courses.

**Choosing a level:**

Students should follow the
guidelines below when choosing between the three level of the course:

●
To enter an
academic level course, the student must have obtained a minimum of a B in a
previous core course or a C in a previous academic course.

●
To enter an
honors level course, the student must have obtained a minimum of a B in a
previous academic course or a C in a previous honors course. In addition, teacher recommendation should be
obtained for all honors courses

**202531 Academic Algebra I (Weight 1.1) **(Grade 9) 1.0 credit

This course
will be scheduled during semester 1. Topics of algebra are explored at an
accelerated pace using a practical approach. Topics in this course will include
solving systems of equations, linear inequalities, problem solving, elementary
statistics, polynomials, quadratic equations, factoring methods and radical
functions. Traditional and practical
approaches will be utilized. Graphing calculators will be used for demonstration.
**TEACHER RECOMMENDATION IS REQUIRED FOR
THIS COURSE.** ** **

***
Students will be required to participate in the Algebra 1 Keystone Exam at the
end of the course.*

** **

** **

**202831 Academic Algebra 1 Part A (Weight
1.1) **(Grades 9) 1.0 credit

This
course will be scheduled during semester 1.
Topics of algebra are explored at a modified pace using a practical
approach. Algebraic expressions and
equations, linear equations, systems of equations, linear inequalities, problem
solving, and elementary statistics are studied.
Traditional and practical approaches will be utilized. Graphing
calculators will be used for demonstration.

** **

** **

** **

**202931 Academic Algebra 1 Part B (Weight
1.1) **(Grades 9**)** 1.0 credit

This
course is a continuation of Academic Algebra 1 Part A and will be scheduled
during the second semester. Therefore, successful completion of Academic
Algebra 1 Part A is a prerequisite. Traditional and practical approaches will
again be utilized in this course. Topics
included in this course are polynomials, quadratic equations, factoring
methods, radical functions, and connections to geometry. Graphing calculators will be used for demonstration.

***
Students will be required to participate in the Algebra 1 Keystone Exam in
semester 2 after completing both Part A and Part B.*

**203141 Algebra II (Weight – 1.1) (**Grades 10, 11, 12**)** 1.0 credit

This
course is a continuation of Algebra I.
Therefore, successful completion of Algebra I is a prerequisite. This
course will review and build on the fundamentals of Algebra I. The main topics that will be studied include
graphing, quadratic functions, polynomial functions, inverse functions, and
radical functions. *Students are recommended to have
a graphing calculator for this course. *

**202631 Academic Algebra II (Weight –
1.1)** 1.0
credit

This
course includes a thorough review of the fundamentals of algebra. The
operations and patterns of elementary algebra are taken to greater depths and
are expanded to include higher level algebraic topics such as quadratic
functions, polynomial functions, techniques for factoring polynomials, inverse
functions, radical functions, rational expressions, and exponential and
logarithmic functions. *Students are
recommended to have a graphing calculator for this course.*

**202621 Honors Algebra II (Weight – 1.2)** 1.0 credit

This course parallels the
content of Academic Algebra 2. Topics
will be presented at an accelerated pace and in greater depth than in Academic
Algebra 2. Students in this class will
be asked to complete additional independent work related to the mathematics
studied. *The use of a graphing calculator
is an integral part of this course.*

**204141 Geometry (Weight – 1.1) (**Grades 10, 11, 12**)** 1.0 credit

Students who have completed the Algebra I Part I and
Part II sequence may take this course.
Topics studied include parallelism, angle relationships, similarity,
trigonometry, area, surface area, volume and the Pythagorean Theorem. Real life applications of some of these
concepts will be emphasized.

**204131 Academic Geometry (Weight – 1.1)** 1.0 credit

This
course guides students lesson by lesson through all the conceptual levels of
geometry: visualization, analysis, informal reasoning, and deduction. It is a comprehensive course that focuses on
traditional theorems and postulates through the use of investigative and
inductive methods. Topics studied
include parallelism, mathematical proof, congruence, similarity, polygons,
circles, trigonometry, area, surface area and volume.

**204121
Honors Geometry (Weight – 1.2)
** 1.0 credit

This course parallels the
content of Academic Geometry. Topics
will be presented at an accelerated pace and in greater depth than in Academic
Geometry. Students in this class will be
asked to complete additional independent work related to the mathematics
studied.

** **

** **

**203231 Academic Algebra III/Trigonometry (Weight –
1.1) **(Grades 11, 12) 1.0 credit

The course involves a continued study
from algebra with polynomial functions that leads into exponential and
logarithmic functions. The second half of this course will be devoted to the
study of trigonometry, with a focus on applications. This course will be used
to focus on concepts in algebra and trigonometry that can be applied for
students intending on going into the workforce or a technical school after high
school. Teacher recommendation required.

**205131 Academic Precalculus/Trigonometry
(Weight – 1.1) (**Grades 10, 11, 12**)** 1.0
credit

** **

Pre-calculus/Trigonometry
involves the study of polynomial, rational, exponential, logarithmic, and
trigonometric functions. These functions
are analyzed algebraically, numerically, and graphically. The relationships between these
representations are emphasized.
Applications of the functions are included. Graphing calculators are used throughout the
course.

**205121 Honors Pre-Calculus/Trigonometry
(Weight – 1.2) (**Grades 10, 11, 12**)** 1.0
credit

This
course is the prerequisite to the study of calculus. Topics will be presented at an accelerated
pace and in greater depth than in Pre-Calculus.
The use of graphing calculators is an integral part of this course. **Teacher
Approval Required.**

**205331 Calculus (Weight – 1.1) (**Grades 11, 12**)** 1.0 credit

This
course is designed for average to above average college bound students who will
need to take Calculus to satisfy major requirements or the student who simply
desires additional study in the area of mathematics. The fundamental concepts of calculus will be
explored. Graphing calculators will be
used extensively. **Prerequisite**: Pre-Calculus

**201111 Advanced Placement Calculus AB
(Weight – 1.3) (**Grades 11, 12**)** 1.0
credit

*(This
course will be scheduled to meet every other day for the full year)*

The
course consists of two main concepts: derivatives and integrals. A study of limits and continuity leads to
several definitions of the derivative.
The derivative is then used to define the integral, leading to the
Fundamental Theorem of Calculus.
Functions are explored graphically, numerically, analytically, and
verbally. The relationships among these representations are emphasized.
Students are expected to clearly communicate procedures used and conclusions
drawn, using proper vocabulary and terms. The appropriate use of a graphing
calculator is essential, and the approach to the content will be rigorous.
College credits may be earned by passing the Advanced Placement examination
with a score of 3 or better. **Students
enrolling in an AP course will be required to take the AP exam **

** **

**201211 Advanced Placement Calculus** **BC (Weight
-1.3) (**Grades 11, 12**)** 1.0
credit

** **

The
course includes the further study of differential and integral calculus topics
and also includes additional topics in polynomial approximations and
series. As in the prerequisite course of
Advanced Placement Calculus AB, problems are explored graphically, numerically,
analytically, and verbally, and the relationships among these various
representations are emphasized. The
course also addresses an appreciation of calculus as a coherent body of
knowledge and as a human accomplishment.
Students are expected to clearly communicate procedures used and
conclusions drawn, using proper vocabulary and terms. The appropriate use of a graphing calculator
is essential, and the approach to the content will be rigorous. College credits may be earned by passing the
Advanced Placement examination with a score of 3 or better. **Students
enrolling in an AP course will be required to take the AP exam **

**206131 Academic Statistics (Weight –
1.1) (**Grades 11, 12**)** 1.0
credit

This
course is designed for college bound students.
**The successful completion of
Academic Algebra II with a grade of an “A” or “B” is required as a
prerequisite. **It can be taken
simultaneously with any other upper-level math course beyond Academic Algebra
II. All serious students of mathematics
are encouraged to elect either this course or AP Statistics. The fundamentals of statistics will be
introduced and will include the collecting, analysis and interpretation of
data. Students will be introduced to
statistical inference techniques.
Graphing calculators will be used extensively.

** **

** **

**201411 Advanced Placement Statistics I
(Weight – 1.3) ** (Grades 11, 12**)** 1.0
credit

*(This
course will be scheduled to meet every other day for the full year)*

The AP Statistics course is equivalent to
a one-semester, introductory, non-calculus-based college course in statistics.
The course introduces students to the major concepts and tools for collecting,
analyzing, and drawing conclusions from data. There are four themes in the AP
Statistics course: exploring data, sampling and experimentation, anticipating
patterns, and statistical inference. Students use technology, investigations,
problem solving, and writing as they build conceptual understanding. Students
must have successfully completed Honors Algebra II with a grade of B+ or better
prior to enrolling in AP Statistics. College credits may be earned by taking
the Advanced Placement examination with a score of 3 or higher. **Teacher approval required.** **Students enrolling in an AP course will be
required to take the AP exam.**

**623141
Pre-Algebra (Weight – 1.1)
**1.0 credit

**623745 Transitional Mathematics I (Weight – 1.1)** 0.5
credits

**623845
Transitional Mathematics II** **(Weight – 1.1)** 0.5 credits