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The Mathematics Department requires all students to take 3
years of mathematics on the high school level, but strongly
recommends the fourth year of math.
Students who take Algebra I or Honors Algebra I as
freshman and Geometry as Sophomores have the opportunity to
take Calculus or AP Calculus as seniors if they meet the
criteria for enrollment in a new course entitled Honors
AlgebraII/PreCalculus as juniors. Another option is
Algebra I, Geometry, AlgebraII and PreCalculus. If any
student places into Geometry as a freshman, she may take
Algebra II, Precalculus and Calculus or AP calculus.
The use of the graphing calculator and a variety of computer
programs in math is an essential component of each course.
Starting in the Fall 2007, all freshman will be required to
have a TI83+or TI84 Graphing calculator.
Algebra I
515algI QP 4.33 GR 9 YEAR 1 CREDIT
This course covers the real number system, polynomials,
inequalities, functions and their graphs, linear equations
and systems, problem solving, and initial concepts of
quadratic equations.
Honors Algebra I
517alg IH QP 4.67 GR 9 YEAR 1 CREDIT
This course covers the same topics as 515, but problems of a
higher difficulty level are presented as well as theoretical
explanations of greater depth. Students are invited into
this course based on results in the mathematics section of
the Entrance Test.
Geometry
524geom QP 4.33 GR 9, 10 YEAR 1 CREDIT
This course is an axiomatic approach to the Euclidean
system. Topics include triangle relationships, proofs, and
abstract logic. Theory and application are equally
considered. This course seeks to give an introduction to
trigonometry and solid figures. The course has a strong
integration with Algebra 1.
Honors Geometry
527geomH QP 4.67 GR 9, 10 YEAR 1 CREDIT
This course is an in-depth axiomatic approach to Euclidean
geometry. Topics include parallel lines and planes,
triangles, polygons, circles, trigonometry, constructions,
solid figures, and coordinate geometry. Abstract reasoning
is developed in an advanced use of theory and application.
Prerequisites: Minimum 3.67(A-) in Algebra I
or 3.67(B+) in Honors Algebra1.
Algebra II
534algII QP 4.33 GR 10, 11 YEAR 1 CREDIT
This course stresses the structure of Algebra and the
development of computational and problem-solving skills.
Topics include a review of Algebra I, the real number system
and its properties, complex numbers, polynomial and rational
expressions, functions and relations. A theoretical approach
is used with emphasis given to the application of theorems
and formulas.
Honors Algebra II
537algIIH QP 4.67 GR 10, 11 YEAR 1 CREDIT
This course stresses the structure of Algebra and the
development of computational and problem-solving skills.
Topics include a brief review of Algebra I, the real number
system and its properties, functions and relations, systems
of linear equations in three variables, complex numbers,
polynomials, and rational expressions. An in-depth
theoretical approach is used and emphasis is given to the
application of theorems and formulas.
Prerequisites: Minimum 3.67(A-) in Algebra I
or 3.67(B+) in Honors Algebra 1.
Honors
Algebra II/ Pre-Calculus
539 algIIpcH QP: 4.67 Grade 11 Year 1 credit
This
course is designed to allow juniors who studied Algebra I or
Honors Algebra I as a freshman to prepare for Calculus or AP
Calculus as seniors. The focus of this course is an
extensive and in-depth study of functional analysis,
mathematical analysis and analytical geometry. This
integration of Algebra II, trigonometry and functional
analysis intends to broaden the students’ mathematical
background and provide the mathematics needed for success in
Calculus. Graphing calculators will be used for graphical
investigations and explorations hence a TI83+ or TI84+
graphing calculator is required.
Prerequisites: 4.0 in
Algebra I (515 or 517) and a 3.67 in Geometry (524 or 527)
Trigonometry and Functions
542 Trig QP 4.33 Grades 11, 12 Year 1 credit
This course covers the fundamentals of polynomial, rational,
exponential and logarithmic functions. This course also
includes an introduction to probability and counting
problems. The trigonometric functions are thoroughly
covered, including right triangle trigonometry, the
trigonometric functions of any angle, graphing the
functions, verifying identities, and applications of the
functions. Technology allows the focus of the course to be
on problem solving and exploration. The TI83+ or the TI84+
calculator is required. Note Well: This course is closed
to any student who has previously taken either Pre-calculus
546 or Pre-calculus 547.
Prerequisite: 2.0(C) in Algebra II
Statistics
544stat QP 4.33 GR 11, 12 SEM 1, 2 .5 CREDIT The statistics
course at Sacred Heart Academy is focused on organizing,
analyzing, and interpreting data. Topics covered in this
course include elementary probability, analysis of sample
and population distributions, regression and correlation,
hypothesis testing and confidence intervals. This one
semester course is a comprehensive introduction to
statistical techniques that will be required in a college
course. The TI 83+ or TI 84+ calculator is required.
Prerequisite: 2.0(C) in previous course. Open
to students who have completed Algebra II.
Finance and Mathematics
545finance QP 4.33 GR 12 SEM 1, 2 .5 CREDIT
This course explores the mathematics of personal and
business with an emphasis on rational decision making.
Topics in personal finance include analyzing budgets,
banking, insurance, credit, taxes, real estate and
investments. Students research a range of investment
opportunities and financial instruments from a variety of
sources including the Internet. Open to students who have
completed Algebra II.
Pre-Calculus
546precalc QP 4.33 GR 11, 12 YEAR 1 CREDIT
This course covers the advanced techniques of Algebra as
well as the integration of functional analysis, analytic
geometry and trigonometry. The trigonometric functions are
thoroughly presented, including graphing, solving
identities, and applications. This course also includes an
introduction to probability and counting problems.
Technology allows the focus of the course to be on
functional investigations and exploration. Heavy emphasis is
on the use of the overhead graphing calculator-projector and
digital lesson investigations with the Smart Board. Since
this course includes in-depth use of hand-held graphing
calculators, the TI83+ or TI84+ graphing calculator is
required. Prerequisite: 3.0 (B) average in
Algebra II or 3.0(B-) in Honors Algebra II
Honors Pre-Calculus
547precalcH QP 4.67 GR 11, 12 YEAR 1 CREDIT This course
is an integration of an intensive study of trigonometry,
geometry, and advanced algebra intended to broaden the
student’s mathematical background prior to the study of
calculus. This course also includes an introduction to
probability and counting problems. The three fundamental
areas of functional analysis, mathematical analysis and
analytic geometry are investigated in depth through the use
of a myriad of technological aids such as the overhead
graphing calculator, the Smart Board and digital lessons.
Each student is required to have either a TI83+ or TI84+
graphing calculator since extensive use of graphing
technology is incorporated as an investigative tool.
Prerequisite: 3.67(A-) in Algebra II or
3.67(B+) in Honors Algebra II.
Calculus
590calc QP 4.33 GR 12 YEAR 1 CREDIT
This course is designed for students who want to have
preparation for and experience with calculus especially
those planning to enter fields of medicine, nursing,
business, economics, management, and the social sciences. It
focuses on the development of conceptual understanding of
real-life situations involving change so the material is
data driven and technology based. Topics include functions
and linear models, non-linear models, rates of change,
derivatives, analysis of change, limits and integration. The
major difference between this course and AP Calculus is that
this course does not stress test-taking strategies and
details about the AP Calculus exam. Extensive use of
graphing technology is incorporated hence a TI83+ or TI84+
graphing calculator is required. Overhead
graphing-calculator projectors, the Smart Board and digital
lessons via the projector are used in most classes.
Prerequisite: 3.33(B+) in Pre-calculus 546 or
3.33(B) in Pre-calculus 547.
AP Calculus (Advanced Placement)
593calcAP QP 5.0 GR 12 YEAR 1 CREDIT This course
provides an intuitive understanding of the concepts of
calculus, and experience with its applications and
methodology. Course content generally follows the AP
syllabus for Calculus AB, which is more extensive, and of
greater breadth and depth than the 590 Calculus curriculum.
Students who take this course are required to take the
Advance Placement Calculus Exam. This course includes the
study of elementary functions, limits, the derivative and
its applications, and integral Calculus including anti
derivatives and their applications. Overhead graphing
calculators, the Smart Board and digital lessons are used in
most classes. The TI83+ or TI84+ graphing calculator is
required. This challenging course is meant only for
the serious math student.
Prerequisite: 4.0(A) Pre-calculus 546 or
4.0(A-) Pre-calculus 547.
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