MATH DEPARTMENT

The Mathematics Department focuses instruction so that students will:

• Use logical reasoning and problem solving for everyday life situations.
• Add, subtract, multiply, and divide rational numbers.
• Use methods of individual and collaborative problem solving and decision making.
• Use technology resources to research and solve problems.
• Recognize geometric shapes and understand the properties that apply to the shapes.

1500 Pre-Algebra (Grade 9; 2 semesters; 1 credit)
Topics include computational skills in multiplication, division, subtraction, and addition; intuitive approach to the study of these skills through problems related to everyday life activities; and graphs. Also included is a basic study of probability and statistics using probability proportion; work in development of ability to estimate answers and in measurements; work with simple algebraic equations; metric systems; work with integers, fractions, decimals, equations, and inequalities.
Prerequisite: Placement test on entering high school

1501 Algebra I-B (Grades 9–10; 2 semesters; 1 credit)
This is a basic course covering topics of Algebra I-A through irrational numbers. Material is presented more slowly, giving ample time for understanding and practice. Axioms and proofs are not included.
Prerequisite: Placement test on entering high school or Pre-Algebra with the recommendation of the instructor

1502 Algebra I-A (Grades 9-10; 2 semesters; 1 credit)
This course is an introduction to the language of algebra. Topics covered are properties of real numbers; solving equations and inequalities and systems of equations relations and graphs; polynomials, factors and rational expressions; irrational numbers and radicals; quadratic equations.
Prerequisite: Placement test on entering high school or passing Pre-Algebra with instructor’s approval.

1503 Geometry B (Grades 10-11; 2 semesters; 1 credit)
This course is designed for the student who wants a second year of math and the minimum concepts of Geometry without the rigor that is usually implied. This course does include proofs and computer work.
Prerequisite: Algebra I-A or Algebra I-B with instructor’s approval

1504 Geometry A (Grades 10-11; 2 semesters; 1 credit)
This course is an introduction to a deductive mathematical system. To develop the power for such reasoning, the topics covered include spatial visualization, working with lines and figures in a plane, theorems and their proofs, the relation of parallel and perpendicular lines, similar and congruent triangles, and the studying and proving of theorems on these topics. Geometric constructions by using straight edge and compass.
Prerequisite: C average in Algebra I-A or in Algebra I-B with instructor’s approval.

1508 Algebra II (Grades 11-12; 2 semesters; 1 credit)
This course is designed to further students’ algebraic knowledge from Algebra I. Students are introduced to the complex number system, matrix operations, polynomial functions, exponential functions, and logarithms, as well as how to apply these concepts. Algebra II stresses both the structure of algebra and the development of computational skills.
Prerequisites: Completion of Algebra I, Geometry, and Math Analysis & Trigonometry

1505 College Algebra (Grades 11-12; 2 semesters; 1 credit)
This course is designed to further students’ algebraic knowledge from Algebra I. Students are introduced to the complex number system, exponential functions, logarithms, and trigonometry, as well as how to apply these concepts. Algebra II/ Trig stresses both the structure of algebra and the development of computational skills. Topics include linear functions and relations; systems of linear equations and inequalities; determinants; polynomials; rational expressions; radicals; irrational numbers; exponents; trigonometric functions, identities and formulas. 
Prerequisites: at least a B average in Geometry A, or special permission from math instructor.

1506 Pre-Calculus (Grades 11-12; 2 semesters; 1 credit)
Pre-calculus is an introduction to mathematical analysis with additional study of ordered fields and math logic; use of the principle of math induction in proofs; introduction to sequences and series, both finite and infinite; advanced study of higher degree equations and functions and relations including different methods of equation-solving of upper degree functions; further study of the exponential and logarithmic functions with a study of trigonometry.
Prerequisite: C average in math and Algebra II/Trig, with instructor’s approval

1512 Accelerated Pre-Calculus (Grades 11-12; 2 semesters; 1 credit; Available for college credit)
Accelerated Pre-Calculus would include the topics taught in course 1506 and add topics previously taught in Analytic Geometry. This course would prepare students to take AP Calculus.
Prerequisite: Math instructor’s approval

1509 Calculus (Grade 12; 2 semesters; 1 credit)
Course Description:  Calculus is a college level mathematics course which prepares seniors to take calculus I or II in college, or Engineering calculus I. The course content includes properties of functions, limits including continuity, the derivative including the mean value theorem and applications, anti-derivatives and their applications, techniques of integration, the definite integral, and applications of the integral. This course is for students who want a thorough knowledge of mathematics including algebra and geometry. This course includes only a basic coverage of the trigonometric, logarithmic, and exponential functions.
Prerequisite: Pre-calculus and approval of instructor

1507 AP Calculus AB (Grade 12; 2 semesters; 1 credit; available for college credit) Dual Credit Calculus is offered through Westminster 
Course Description:  Advanced Placement Calculus AB is a college level mathematics course which prepares able seniors to take an Advanced Placement test in May. Most colleges and universities grant advanced placement and credit hours to students who have successfully completed the test. After completion of this course students will be able to move on to Calculus II. The course content includes properties of functions, limits including continuity, the derivative including the mean value theorem and applications, anti-derivatives and their applications, techniques of integration, the definite integral, and applications of the integral. This course is intended for students who want a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry (rectangular and polar coordinates, equations and graphs, lines, and conics)
Prerequisite: Pre-calculus, analytic geometry, and approval by the teachers of those courses.

1515 Math Analysis & Trigonometry (Grades 11-12; 2 semesters; 1 credit)
In this course students will learn about logic and sets, number theory, critical thinking skills and problem solving, graphing, statistics, in-depth study of three-dimensional shapes, trigonometry, functions, and solving equations and inequalities. Prerequisite: Algebra I-A or I-B, and Geometry A or B.

1516 AP Calculus BC (Grade 12; 2 semesters; 1 credit; available for college credit) Dual Credit Calculus is offered through Westminster 
Course Description:  Advanced Placement Calculus BC is a college level mathematics course which prepares able seniors to take an Advanced Placement test in May. Most colleges and universities grant advanced placement and credit hours to students who have successfully completed the test. After completion of this course students will be able to move on to Calculus III. The course content includes properties of functions, limits including continuity, the derivative including the mean value theorem and applications, anti-derivatives and their applications, techniques of integration, the definite integral, applications of the integral, infinite series including Taylor Series, parametric equations, and polar equations. This course is intended for students who want a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry (rectangular, parametric, and polar coordinates, equations and graphs, lines, and conics)
Prerequisite: A grade of ‘C’ or higher in Pre-calculus, analytic geometry, and approval by the teachers of those courses.