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Mathematics
Basic Algebra
This course is designed to develop basic
skills in the fundamentals of algebra. The following topics are
covered
: evaluation of expressions and equations with variables, rational
numbers, equations, applications of rational numbers, inequalities,
polynomials, factoring, rational expressions, functions and graphs and
linear equations.
Algebra I
This course is a thorough treatment of
operations
on real numbers, including irrational numbers. The student will
be
able to perform the basic operations on algebraic expression, solve
linear
and quadratic equations in one variable, solve systems of linear
equations
in two variables, and graph linear equations in two variables.
Sections
on problem solving strategies will be included on a periodic basis.
Honors Algebra I
This course is a thorough treatment of
operations on real numbers, including irrational numbers expressed as
radicals. The student will learn to perform operations on
polynomial expressions and rational expressions. We will solve
linear equations in one and two variables. The student will learn
to solve quadratic equations by factoring, by completing the square,
and by using the quadratic formula. the student will learn to
graph equations of the form Ax + By = C. Systems of equations
will be solved using graphing and algebraic methods. The above
topics will be used for problem solving applications throughout the
course.
Basic Geometry
This course is designed for students who
would have difficulty with a standard geometry course. An
uncomplicated, yet relatively thorough introduction to the fundamentals
of geometry is provided. The areas covered in the first semester
include properties of triangles, quadrilaterals and parallel
lines. Circle, areas and volumes are covered in the second
semester. Topics in coordinate geometry will be covered as time
permits.
Prerequisites: Basic Algebra or a grade of
"D" in Algebra I.
Geometry
This is a complete course in geometry
for the average math student. Proofs in plane geometry provide
the primary focus of the first semester. Second semester topics
include polygons, the Pythagorean theorem, circles, areas and volumes
of geometric objects, coordinate geometry and an introduction to
trigonometry.
Prerequisites: Passing grade in Algebra
I or "A" in basic Algebra with teacher recommendation.
Honors Geometry
This course is similar to Geometry.
A faster pace is used and the more difficult problems in each section
are
covered.
Prerequisites: "A", "B", or "C" in Honors
Algebra I or "A" in Algebra I with teacher recommendation.
Intermediate Algebra
This course is designed for those students
who normally have difficulty with a standard Algebra II course.
It
provides a simpler, yet thorough, review of the fundamentals of
Algebra.
This course will cover the major areas of Algebra: real numbers, linear
sentences, polynomials, rational expressions, irrational numbers,
systems of linear equations, relations and functions, quadratic
sentences,
and quadratic systems.
Prerequisites: at least a grade of
"C" in Basic Algebra and Basic Geometry or recommendation.
Algebra II
A course to develop skills and concepts of
the following topics: fundamental operations with real numbers and
polynomials,
solution of equations and inequalities, quadratic equations, word
problems,
graphs of linear equations and inequalities and conics, functions,
operations
with rational expressions, radicals and complex numbers, exponents,
linear
systems, synthetic division, remainder, factor theorem matrices.
Prerequisites : At least a grade of "C" in
Algebra I and Geometry or recommendation.
Honors Algebra II
A course to develop skills and concepts of
the following topics: fundamental operations with real numbers and
polynomials,
solution of equations and inequalities, quadratic equations, word
problems,
graphs of linear equations and inequalities and conics, functions,
operations
with rational expressions, radicals and complex numbers, exponents,
linear
systems, synthetic division, and remainder and factor theorem, and
basics
of trigonometry.
Prerequisites: At least a grade of a "C"
in Algebra I and Geometry or recommendation.
Math IV
This course consists of a review of the Real
Number System, exponents and radicals, polynomials, fractional
equations,
solving equations and inequalities, graphing on the Cartesian plane,
inverse
functions, quadratic functions, synthetic division, real zeros, complex
numbers, rational functions, trigonometry, radians versus degrees,
graphing
trigonometric functions, inverse trigonometric functions, fundamental
trigonometric
identities and equation solving, sum and difference multiple angles and
product-sum formulas in trigonometry, law of sines and cosines, vectors
in a plane, exponential functions, logarithmic functions, solving with
vectors, systems of equations and inequalities, matrices and
determinants,
sequences, counting principles, and probability, analytic geometry.
Prerequisites: At least a grade of
"C" in Algebra II or recommendation of an instructor.
AP Calculus
This course includes a quick review of
analytic
geometry, functions, parametric equations, and trigonometry, a study of
limits and continuity, derivative and differentiation, implicit
differentiation,
extreme function values and using differentiation to graph functions,
integration,
finding the area of a plane region, finding volumes of a solid by
slicing
into disks and washers, and comparing this to finding volume by
cylindrical
shells, finding the center of a mass of a rod, centroid of a plane
region,
a study of inverse functions, and natural logarithmic functions, and
exponential
functions and finding their derivatives, L'Hôpital's Rule.
The use of graphing calculators is taught. This course is
designed
to be equivalent to at least a semester of college calculus.
Prerequisites: "A" or "B" in Honors Algebra
I, Honors Geometry, Algebra II, and Math IV or permission of Math IV
instructor.
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