## Mathematics Course Offerings

Freshman placement is determined by placement test results in combination with recommendations from the eighth grade math teacher, parent input and results of the Algebra Acuity 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 gradeThis 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 gradePrerequisite: Algebra I Part I The student learns to perform operations on polynomial expressions. The concept of function is introduced. 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. Algebra I 1 Credit – 2 Semesters Required course for 9th gradeThis 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. Advanced Algebra I 1 Credit – 2 Semesters Required course for 9th gradePrere quisite: Algebra Acuity test resultsThis course is a more in-depth study of Algebra I and will move at a faster pace than a regular Algebra I course. Geometry 1 Credit – 2 Semesters Required course for 10th & 11th gradesPrerequisite: Algebra I Euclidean Geometry includes a study of the fundamental objects (points, lines, planes, polygons, circles, and polyhedrons), angular measurement, congruence, similarity, deductive and inductive reasoning, relational computations (perimeter, area, and volume), the Pythagorean Theorem, right angle trigonometry, and practice applications. Algebraic concepts and techniques are integrated and emphasized throughout the course to aid in the understanding of geometric concepts and applications. Honors Geometry 1 Credit – 2 Semesters Required course for 9th & 10th gradesPrerequisite: Honors Algebra I, (minimum B- average), or Algebra Acuity test results and Teacher signature The Honors Geometry course takes a more formal, proof-based, approach to the same topics as the Geometry class, with some topics covered in more depth. Euclidean Geometry includes a study of the fundamental objects (points, lines, planes, polygons, circles, and polyhedrons), angular measurement, congruence, similarity, deductive and inductive reasoning, relational computations (perimeter, area, and volume), the Pythagorean Theorem, right angle trigonometry, and practice applications. Algebraic concepts and techniques are integrated and emphasized throughout the course to aid in the understanding of geometric concepts and applications. |
Algebra II
1 Credit – 2 SemestersRequired course for 11th & 12th grades Prerequisite: Algebra I, GeometryThis 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 gradesPrerequisite: 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 gradePrerequisite: 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, and a review of topics from algebra on a deeper level. Pre-Calculus 1 Credit – 2 Semesters Required course for 11th & 12th gradePrerequisite: 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, 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 gradesPrerequisite: 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, sequences and series. Honors Finite Math 1 Credit – 2 Semesters Required course for 11th & 12th gradesPrerequisite: Honors 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 class may be taken for dual credit with Spalding University. AP Calculus 1 Credit – 2 Semesters Required course for 11th & 12th gradesPrerequisite: 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. Students will be prepared to take the College Board Advanced Placement Calculus AB test. |