Mathematics
Catholic High Schools offers the traditional college preparatory
program in math with opportunities
for advanced students. Students may also attend UAH for additional
college-level math courses.
Algebra I
This course introduces and develops the
following knowledge areas: operations of signed numbers and
variables; solutions of equations and inequalities; writing and
solving equations and inequalities; operations with rational
numbers and polynomials; relations, functions and graphs;
variation; irrational numbers; radicals; and quadratic equations.
One credit
Geometry
This course introduces the basics of
plane and solid geometry: parallel lines and planes, triangles,
quadrilaterals and other polygons, circles, area, volume,
introductory coordinate geometry, and basic transformations.
Deductive reasoning in the form of proofs is applied throughout
the course.
Prerequisite: Algebra I or Algebra IA and
Algebra IB
One credit
Algebra II with Trigonometry
This course expands concepts in Algebra
I, adding the follow areas: applications of linear equations and
inequalities; matrix algebra; complex numbers; graphs of linear
equations; quadratic functions and inequalities; solutions of
polynomial functions; conic sections; functions of trigonometry
and probability.
Prerequisite: Algebra I, Geometry (or
current enrollment in Geometry)
One credit
Precalculus
This course is a pre-calculus course for accelerated math
students. Topics include advanced algebra, analysis,
analytic geometry, functions, trigonometry, vectors and parametric
equations, polar coordinates and complex numbers, conics,
exponential and logarithmic functions, and sequences and series.
Prerequisite: Algebra II.
One credit
Calculus
This course consists of a full high
school academic year of work that is comparable to a first
semester calculus course in colleges and universities.
Topics included are functions, graphs, limits, continuity,
derivatives, and integrals. Topics are approached through a
combination of numerical, graphical, and theoretical exercises,
and real-world activities.
Prerequisite: Precalculus.
One credit
AP Calculus (A/B)
This course is an Advanced Placement course in calculus.
This course consists of a full high school academic year of work
that is comparable to a first semester calculus course in colleges
and universities. Topics included are functions, graphs,
limits, continuity, derivatives, and integrals. Topics are
approached through a combination of numerical, graphical, and
theoretical exercises, and real-world activities.
Prerequisite: Precalculus.
One credit
Statistics
This course is a mathematics course that introduces students to
the use of statistics in the world around them. Students
learn to identify, set up, and solve all types of word problems
and real-life problems pertinent to statistics; to understand the
relevancy of the relationship of statistics to real world
applications; and to develop and apply critical thinking and
logical reasoning skills.
Prerequisite: Algebra II.
One credit
AP Statistics
This course is an Advanced Placement
course in statistics. This course consists of a full high
school academic year of work that is comparable to a first
semester statistics course in colleges and universities. Topics
are examining and sampling distributions; examining relationships;
inference for distributions, for proportions, for one-way
analysis, for two-way tables, and for regression.
Prerequisite: Algebra II/Precalculus
One credit |