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Business Math/Personal
Finance 1-2 (10-12) (two terms)[TOP]
This course taught by the business department is designed to develop
the ability to solve real world problems in order to become productive
citizens and workers in a technological
society. Areas of study included are number relationships and
operations; patterns and algebra; measurements; and statistics and
probability. Problem-solving applications
will be used to analyze and solve business problems for such areas as
taxation; savings and investments; payroll records; cash management;
financial statements; purchases; sales; inventory records; and
depreciation. (Business Math may fulfill two graduation credits of the
Mathematics requirement for graduation.) This course does not meet Core
40 math requirements.
Algebra I-1, I-2, I-3 (9-12)[TOP]
First year algebra consists of a study of the fundamental definitions,
axioms, theorems, symbols, and the deductive processes involved in
mathematics. Emphasis is placed on the
understanding of these concepts and on the proficiency of handling them
in their various aspects of application. The topics covered are
variables, open sentences, axioms, equations,
problem solving, negative numbers, inequalities, operations with
algebraic expressions, graphs, systems, quadratic equations, real
numbers, and functions.
Geometry 1-2 (9-12)[TOP]
(Prerequisite: Algebra I.) This course consists of a study of the
undefined terms, the axioms, and the theorems of Euclidean geometry.
Emphasis is placed on understanding
the deductive processes involved in proofs, numerical and algebraic
exercises, and geometric constructions. The topics covered include
inductive and deductive reasoning, triangles,
perpendicular and parallel lines, constructions, area, Pythagorean
theorem, circles and area, loci, ratio and proportion, similar
polygons, and regular polygons.
Geometry 1-2 HD (9-10)[TOP]
(Prerequisite: Algebra I.) Designed for students seeking an
honors-diploma, this course presents the same topics as geometry 1-2,
but each area will be covered in more depth
and with more rigor. Heavy emphasis will be placed on deductive
reasoning and problem-solving activities.
Algebra II-1, II-2, II-3
(10-12)[TOP]
(Prerequisite: Geometry. Geometry may be taken concurrently with
Algebra II but is recommended only for above average mathematics
students.) Second year algebra
is designed for the student who has achieved an understanding of the
deductive methods of mathematics through his/her study of geometry, is
able to create elementary algebra and
geometric proofs, and is proficient in the techniques of mathematics.
The axiomatic approach is used throughout in the study of the real and
complex number systems, operations
with algebraic expressions, exponents and radicals, relations and
functions, systems of equations and inequalities, elements of analytic
geometry, and sequences and series.
Emphasis is placed on further developing the ability to reason
deductively as well as gaining a high degree of skill in the more
complicated operations and processes of algebra.
(Available to qualified students as ALPS Independent Study. See SPECIAL
PROGRAMS AND COURSES.)
Algebra II-1, II-2,
II-3 HD (10-12)[TOP]
(Prerequisite: Geometry) Designed for students seeking an Honors
Diploma, this course presents the same topics as Algebra II, but each
area will be covered in more depth and
more rigor. Heavy emphasis will be placed on deductive reasoning and
problem solving activities.
AP Statistics (10-12) (two
terms)[TOP]
(Prerequisite: Algebra II. May be taken concurrently with Pre-Calculus,
Calculus, or alone.) This course prepares students to take the AP
Statistics exam for college credit. It is
built around four main topics: exploring data, planning a study,
probability as it relates to distributions of data, and inferential
reasoning. Specific topics in AP Statistics include interpreting
graphic displays, comparing and summarizing distributions of univariate
data, exploring bivariate data and categorical data, random sampling,
conducting experiments, probability as relative frequency, combining
independent random variables, use of the normal t-distributions,
simulating sampling distributions, confience intervals and significance
tests.
Mathematics/College
Credit 1-2 (10-12)[TOP]
(Prerequisite: Algebra II.) The above title is the transcript name for
our Finite Mathematics course (which is the same as IU’s M118
Finite Math course). Finite Mathematics
assumes the student is able to work accurately with fractions and
decimals, to graph linear equations, and to solve two linear equations
in two unknowns. The course discusses set theory, techniques of
counting, probability, linear systems, matrices, and linear
programming. It also includes applications to business and the social
sciences. Students who plan to take Calculus at any point in their high
school or college careers should enroll in Pre-Calculus rather than
this course. However, Finite Mathematics may be taken concurrently with
their Pre-Calculus or Calculus. This course may be taken for IU credit
(3 hrs., M118) in ACP program, or for high school credit alone.
Pre-Calculus 1-2 (11-12,
some 10)[TOP]
(Prerequisite: Algebra II.) This course is usually selected by those
students who have a high ability and a definite interest in
mathematics. In this course the student utilizes
extensively the concepts, notation, and techniques from his/her
previous courses in algebra and geometry. These are extended and
expanded in the study of the following topics:
real and complex number systems, functions, polynomials, exponentials
and logarithms, polar coordinates, and trigonometry (the trig is a
complete and detailed study of the topic equivalent to approximately
one trimester of work.
MATH - AP Calculus 1-2 (mostly
11-12; some 10)[TOP]
(Prerequisite: Pre-calculus.) AP credit available with the AP exam in
May and IU M211 credit is available for students who qualify in August
on the IU Math Skills Assessment and pay for four credit hours at IU.)
This course is taken during the first two trimesters, to be followed by
optional but recommended third trimester Advanced Calculus AP. This is
a rigorous course which partially covers as much of the College
Board’s AB level AP Calculus curriculum as can be done in two
trimesters. (To cover the entire AP curriculum or the IU M211
curriculum, students should also enroll in the optional 3rd trimester
of MATH - Advanced Calculus AP MA920 (see the next course)). The first
two trimesters partially prepare students for the AB level AP Calculus
exam in May. While not a requirement, all students are expected to take
this exam. Students who want IU credit must take the third trimester
course (see course below) Students taking this course must have
finished their Trig/Pre- Calc course (no exceptions.) This topics
include the theory, algorithm processes, and when and how to use
limits, derivatives, applications of derivatives (graphing, related
rate, maxmin), integration (including the Fundamental Theorem of
Calculus, and applications of integration.
MATH - Advanced
Calculus AP (Optional) (mostly 11-12; some 10)[TOP]
(Prerequisite: AP Calculus 1-2.) This continues the AP Calculus
Curriculum and M211 curriculum and leads to the AP exam in May and the
IU M211 Final Exam.
MATH - AP Calculus 3-4
(mostly 12; some 11)[TOP]
(Prerequisite: AP Calculus 1-2 and Advanced Calc.) This is the second
year/AP Calculus course. AP BC level Calculus 3-4 prepares the students
for the AP Calculus BC level exam
in May. Passing...college calculus. Students are responsible for the
topics learned in the first year course. New topics covered are more
advanced methods of integration (integration by parts, partial
fractions, and trig substitutions, and improper integrals),
differential equations (slope fields, Euler’s method, the
logistic curve); parametric and polar functions in the context of
calculus, and infinite sequences and series, power series, and vectors.
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