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Mathematics Courses...
FOUNDATIONS OF
MATH
This full year course
is designed to prepare students to enroll in Algebra 1C. It covers
the four basic operations with integers and variables, fractions,
decimals, percents, exponents, square roots, factoring and laws
governing the use of numbers. The pace of this class allows for all
students to achieve mastery. Extensive Ohio Graduation Test review
and practice of test taking techniques are provided. Class size is
limited to provide for individual attention and guidance.
ALGEBRA IC -
1
This course has been
developed for students who plan to enter college but do not have
sufficient math background or ability to complete a one-year algebra
course. During the first semester of this course there is a review
of the various mathematical properties. The four basic
operations: addition, subtraction, multiplication, and division
with rational numbers are studied in depth along with ratio,
proportion and percents. The concept of a variable is introduced
along with solving multi-step equations. During the second
semester additional topics covered will include absolute value and
properties of real numbers. Students will apply these concepts
while solving equations. Word problems, inequalities, relations,
functions, graphing and polynomials will also be studied. Ohio
Graduation Test review and practice of test taking techniques are
provided.
ALGEBRA IC - 2
Algebra IC-2 is the
second year follow up to Algebra IC-1. The course begins with a
brief review of the computational operations on real numbers. An
in-depth study of solving equations is presented. Students will
explore polynomials and factoring. Linear functions along with
graphing are studied. Other topics include solving systems of
equations, inequalities, and quadratic functions. Ohio Graduation
Test review and practice of test taking techniques are provided.
Students who complete this course advance to Geometry.
ALGEBRA 1
Algebra I is
designed for the freshman with average or above average
mathematical ability and achievement. An in-depth understanding of
the theory of numbers and operations and proficiency is
expected. The topics covered include: numbers and sets, the
language of algebra, axioms of numbers and operations,
solving equations in one variable, solving and graphing the
solution sets of inequalities in one variable, operations with
polynomials, factoring, working with algebraic fractions,
functions and relations, graphs, systems of open sentences in two
variables and working with irrational numbers. Setting up and
solving problems will be studied. Solving quadratic equations by
factoring, completing the square and the quadratic formula will be
covered. Ohio Graduation Test review and practice of test taking
techniques are provided.
PLANE
GEOMETRY
The Plane Geometry
course places a great deal of emphasis on the concept of proof.
Through the use of definitions, postulates, and theorems, the
students are required to reason logically to a given conclusion.
The different geometric concepts involved deal with segments,
rays, lines, planes, angles, circles, triangles, quadrilaterals,
and other polygons. The relationships of equality, congruency,
and similarity are also explored in depth. There is also much
emphasis on numeric and algebraic exercises. Formulas are dealt
with in terms of areas and volumes for various plane and solid
figures. Slopes, distances, and midpoints will be studied. There
is also an introduction to trigonometry using right triangles.
Plane Geometry C places an emphasis on concrete applications.
Plane Geometry AA:
In addition to those topics covered in Plane Geometry, this
course will
incorporate a more extensive use of deductive reasoning, the
study of logic through the use of truth tables and rules of
inference and replacement transformation. This course is
usually taken concurrently with Algebra II AA.
ALGEBRA
II
This course is
designed for the student who has completed the Algebra I and Plane
Geometry courses. The course begins with a strong review of
Algebra I, covering such topics as sets of numbers, open
sentences in one variable, systems of linear equations, polynomial
operations and factoring, and rational numbers and expressions. Work
with radical expressions is used to develop an introduction to the
complex number system. The concepts of relation and function,
emphasizing linear and quadratic relations and functions, and
the exponential and logarithmic functions over the set of real
numbers, are developed. The conic sections and their
properties are examined. Trigonometry is studied, concluding with
Law of Sines and Cosines. Topics in probability including
permutations and combinations are studied.
Algebra II AA: In
addition to those topics covered in Algebra II, this course will
also examine matrix operations and application of matrices and
determinants in solving systems of linear equations. Polynomial
functions and their arithmetic, their graphs, and their roots and
properties of those roots are examined. An introduction to
probability and statistics will cover histograms,
permutations, combinations, and probabilities. The course will
also introduce the fundamental concepts in Trigonometry. This
course is usually taken concurrently with Plane Geometry AA.
PRECALCULUS
This course is
designed for the fourth year mathematics student and the third
year honors student. Subject matter includes extensive work with
functions, graphing, conic sections and logarithms. The
trigonometric functions and their graphs, identities and equations
are covered. The course also includes an introduction to matrices,
vectors, polar coordinates and sequences and series. The final
section of the course gives a brief introduction to calculus through
the concepts of limits, continuity and derivatives.
PRE-COLLEGE
MATHEMATICS
Pre-College
Mathematics covers many of the same topics as Algebra II but treats
them in greater depth and detail. The various aspects of practical
applications are stressed with each topic. Topics covered include:
absolute values, linear graphs of equations and inequalities,
applications of linear systems, operations with graphing of
polynomials, extensive factoring with application to equation
solving, rational expressions, application of rational equations,
roots, radicals, and complex numbers, quadratic equations and
inequalities, quadratic and inverse functions, conic sections and
trigonometry.
A.P.
CALCULUS
This one-year
course in calculus will begin with a review of different types
of functions and examine the concepts of continuity and the limit
of functions. The idea of a limit will lead to a definition of
the derivative of a function. Rules for finding various types of
derivatives will be developed and applications of the derivative
will be explored. At this point, the concept of the
“antiderivative” will be introduced and its relation to the
definite integral will be examined, along with different types of
functions, e.g.polynomial, logarithmic, exponential and
trigonometric. Applications of the integral will be studied,
setting the stage for an introduction to future higher level
math courses. This course is specifically geared to prepare
students to take the A.P. Calculus exam and requires that students
be able to work with and without the use of a calculator.
CONSUMER MATH
This general math
course is designed for students who are interested in practical
applications of mathematic principals in the economic arena. Topics
covered include, but are not limited to: money records, payroll
(methods of payment, deductions, and fringe benefits), budgeting
(utilities, home and vehicle expenses, taxes, insurance, savings and
loans, investments), business analysis (profit and loss) and
statistics.
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