Freshman placement is determined by placement test results (the sum of the quantitative
score and twice the math score) in combination with recommendations from the
eighth grade math teacher, parent input and results of the Algebra exit test.
Students who graduate from Presentation Academy must have four credits in math.
Proper placement of incoming freshmen is most important. The State of Kentucky
requires that all students must take math each year of high school.
It is important to note that entry into upper level science classes requires
completion of or concurrent enrollment in specific math courses.
Algebra I Part I
1 Credit – 2 Semesters
Required course for 9th grade
This course is designed for the student to master basic computational and problem-solving
skills while being introduced to basic algebra concepts. Special emphasis is
placed on using basic operations with whole numbers, fractions, decimals, and
integers. The course introduces the student to the use of variable expressions
in solving problems. Practice is given in the use of grouping symbols and the
order of operations to simplify numerical and variable expressions involving
real numbers. Linear equations and inequalities are solved both algebraically
and graphically.
Algebra I Part II
1 Credit – 2 Semesters
Required course for 10th grade
Prerequisite: Algebra I Part I
The student learns to perform operations on polynomial expressions. Other topics
include ratio and proportion, fractional equations, and solving systems of
linear equations. The student learns to use factoring and the quadratic formula
in solving quadratic equations. Exponential notation is also examined. The
concept of function is introduced.
Algebra I
1 Credit – 2 Semesters
Required course for 9th grade
This course introduces the student to the use of variable expressions in solving
problems. Practice is given in the use of grouping symbols and the order of
operations to simplify numerical and variable expressions involving real numbers.
Linear equations and inequalities are solved both algebraically and graphically.
The student learns to use factoring and the quadratic formula in solving quadratic
equations. Exponential notation is also examined. The student learns to perform
operations on polynomial expressions. Other topics include ratio and proportion,
fractional equations, and solving systems of linear equations. The concept
of function is introduced.
Honors Algebra I
1 Credit – 2 Semesters
Required course for 9th grade
Prerequisite: Must meet established criteria
This course is an in-depth study of Algebra I.
Geometry
1 Credit – 2 Semesters
Required course for 9th, 10th & 11th grades
Prerequisite: Algebra I
Euclidean geometry as a logical system of thought is studied using both inductive
and deductive approaches. The concepts of perpendicular, parallel, congruence,
and similarity are used to explore polygons and circles. A study of the right
triangle includes the Pythagorean Theorem. Real world applications include
finding the area of plane figures and the volume of solids. Throughout the
course, algebra is used in the application of geometric theorems.
Honors Geometry
1 Credit – 2 Semesters
Required course for 9th & 10th grades
Prerequisite: Honors Algebra I, (minimum B- average), or algebra exit test
results and Teacher signature
In this course, Euclidean geometry as a logical system of thought is studied
using both inductive and deductive approaches. The concepts of perpendicular,
parallel, congruence, and similarity are used to explore polygons and circles.
A study of the right triangle includes the Pythagorean Theorem. Real world
applications include finding the area of plane figures and the volume of solids.
These topics are covered in greater depth than regular geometry, with greater
emphasis in formal proofs and discovery lessons. Throughout the course, algebra
is used in the application of geometric theorems.
Algebra II
1 Credit – 2 Semesters
Required course for 10th, 11th & 12th grades
Prerequisite: Algebra I, Geometry
This course is a logical continuation and further development of the concepts
introduced in Algebra I. Special emphasis is placed on linear equations, algebraic
functions, inequalities, fractional equations, quadratic equations, and word
problems. The laws of exponents and complex numbers are studied.
Honors Algebra II
1 Credit – 2 Semesters
Required course for 9th, 10th, & 11th grades
Prerequisite: Honors Algebra I and/or Honors Geometry (minimum B- average),
Teacher signature
This course is a logical continuation and further development of the concepts
introduced in Algebra I. Special emphasis is placed on linear equations, algebraic
functions, inequalities, fractional equations, quadratic equations, and word
problems. The laws of exponents are studied. Complex numbers and radical equations
are introduced. Other topics include polynomials, rational functions, quadratic
functions and relations.
College Algebra
1 Credit – 2 Semesters
Required course for 12th grade
Prerequisite: Algebra II, Teacher signature
This course is intended for a senior who does not meet the requirements for
a Pre-Calculus course. Topics include some ACT preparation, functions and their
graphs, an introduction to trigonometry, and a review of topics from algebra
on a deeper level.
Pre-Calculus
1 Credit – 2 Semesters
Required course for 11th & 12th grade
Prerequisite: Algebra II (minimum B- average), Teacher signature
The topics included in this course are functions, their inverses, their graphs,
and their applications. The functions studied include the following: polynomial,
rational, exponential, logarithmic, and trigonometric. This course covers trigonometry
with a special emphasis on the unit circle. Other topics include matrices and
solving systems of equations.
Honors Pre-Calculus
1 Credit – 2 Semesters
Required course for 10th, 11th & 12th grades
Prerequisite: Honors Algebra II (minimum B- average), Teacher signature
This course is intended for a student who will take Calculus as her next mathematics
course. The topics included in this intense course are functions, their inverses,
their graphs and their applications. The functions studied include the following:
polynomial, rational, exponential, logarithmic, trigonometric, and absolute
value. This course covers trigonometry with a special emphasis on the unit
circle. Also included are conic sections, matrices and determinants, sequences
and series, and an introduction to limits.
Honors Finite Math
1 Credit – 2 Semesters
Required course for 11th & 12th grades
Prerequisite: Pre-calculus, Teacher signature
This course is intended for a student with a strong background in math. Topics
include linear programming, systems of equations, matrices, financial math,
probability and statistics, and logic. This course may be taken concurrently
with Honors Pre-calculus or AP Calculus. College credit may be earned in this
course.
AP Calculus
1 Credit – 2 Semesters
Required course for 11th & 12th grades
Prerequisite: Honors Pre-Calculus, (minimum B- average), Teacher signature
This course emphasizes limits, continuity, and asymptotes. The derivative as
the slope of the tangent line and as instantaneous rate of change forms the
basis for solving problems of velocity and acceleration, extrema, related rates,
and approximations with differentials. Different techniques of integration
are used to work problems of area and volumes of solids. Trigonometric, logarithmic,
and exponential functions are included in all phases of the course work.