MATHEMATICS CORE COURSES
(3 Units are required for graduation)
As a requirement for graduation each student must include Algebra I (or the Algebra I-A and I-B sequence) and a course in Geometry in their mathematics program.
DEVELOPMENTAL MATHEMATICS
5 Periods 1 Year 1.0 Unit Grade 9
Students are assigned to this course based on NWEA test score and teacher/counselor recommendation. Developmental Mathematics is presented concurrently with Algebra I. Its intent is to prepare students to meet the required ASD and PA academic standards by providing additional support in mathematics content and processes. This course does not count towards the mathematics requirement for graduation but may be applied as an elective credit.
ALGEBRA I
5 Periods 1 Year 1.0 Unit Grade 9
Algebra I develops basic concepts of symbolic reasoning and calculations with symbols. In problem-solving situations, the student will apply properties of real numbers, simplify numeric and rational expressions, solve and graph linear equations, inequalities and systems, solve quadratic equations and analyze patterns and functions.
ALGEBRA I-B
Prerequisite: Algebra I-A 5 Periods 1 Year 1.0 Unit Grade 10
This course is a continuation of the Algebra I-A and I-B series 2004-2005, students will simplify rational expressions, solve and graph systems of linear equations and inequalities, solve quadratic equations and analyze functions. They also will apply concepts of probability, statistics and geometry to solve problems.
SURVEY OF MATHEMATICS
Prerequisite: Algebra I and either Geometry or
Applied Geometry 5 Periods 1 Year 1.0 Unit Grade 11, 12
Survey of Mathematics prepares students to meet the required ASD and PA academic standards by developing their skills in mathematical reasoning, problem solving and communication. Previous learning will be reinforced with an emphasis on the connections among basic topics. These include number sense, algebra and functions, measurement and geometry, statistics and data analysis, probability, trigonometry and concepts of calculus.
ALGEBRA II
Prerequisite: Algebra I or Algebra I-B 5 Periods 1 Year 1.0 Unit
Grade 9, 10, 11, 12
Algebra II presents new concepts and extends the basic topics of the Algebra I course. They include systems of equations and inequalities, quadratic, exponential and logarithmic functions, complex numbers, conic sections, matrices, sequences, series, probability and statistics. The course prepares students for trigonometry, college algebra and other advanced mathematics courses.
*ALGEBRA II - HONORS
Prerequisite: Algebra I 5 Periods 1 Year 1.0 Unit
Grade 9, 10, 11
Algebra II Honors continues the study of algebra by presenting
new concepts and extending the basic topics of the first course. They include
systems of equations and inequalities, quadratic, exponential and logarithmic
functions, complex numbers, conic sections, matrices, sequences, series,
probability and statistics. The course provides a thorough preparation for
trigonometry, college algebra, and other advanced mathematics courses.
Students engage in solving a variety of challenging problems and are
encouraged to inquire, hypothesize, investigate and discover ideas for
themselves.
APPLIED GEOMETRY
Prerequisite: Algebra I or Algebra I-B 5 Periods 1 Year
1.0 Unit Grade 10, 11, 12
Applied Geometry students learn the terminology and apply the concepts of geometry without the use of formal proof. Logical reasoning will be emphasized while they solve problems involving plane and solid figures.
GEOMETRY
Prerequisite: Algebra I or Algebra I-B 5 Periods 1 Year 1.0 Unit
Grade 9, 10, 11, 12
Geometry for the college-bound student includes the development of formal, logical reasoning and proofs. Students will apply axioms, theorems and properties to solve problems involving plane and solid figures.
*GEOMETRY - HONORS
Prerequisite: Algebra I 5 Periods 1 Year 1.0 Unit Grade
10, 11
This course provides students opportunities to develop logical thought, practice critical evaluation and make intelligent generalizations through the exploration of the mathematical concepts of geometry. They will analyze and write formal proofs and solve problems involving plane and solid figures.
ALGEBRA III
Prerequisite: Geometry and Algebra II 5 Periods ½ Year 0.5 Unit
Grade 10, 11, 12
Students in Algebra III will extend their understanding of the topics introduced in Algebra II and the connections between algebraic and geometric representations. They will solve problems involving systems of equations, matrices, higher degree equations, the binomial theorem, sequences, series, permutations and combinations and conic sections.
*ALGEBRA III - HONORS
Prerequisite: Geometry and Algebra II 5 Periods ½
Year 0.5 Unit Grade 10, 11, 12
Algebra III Honors extends the concepts and skills developed in previous algebra courses with emphasis on the analytical aspects. Students explore mathematical connections in more advanced topics including systems of equations, matrices, higher degree equations, the binomial theorem, sequences, series, permutations and combinations and conic sections. Their work includes research and special projects.
TRIGONOMETRY
Prerequisite: Geometry and Algebra II 5 Periods ½ Year 0.5
Unit Grade 10, 11, 12
This course introduces the properties of the trigonometric functions that students apply to solve practical problems. Trigonometry is particularly important in the study of high school physics, technical courses and many trades.
*TRIGONOMETRY – HONORS
Prerequisite: Geometry and Algebra II 5 Periods ½
Year 0.5 Unit Grade 10, 11, 12
In Trigonometry Honors, students study the elementary properties of the trigonometric functions that are presented as circular functions, emphasizing their periodic nature. The student is given opportunities to explore the applications of trigonometry.
*ANALYTIC GEOMETRY - HONORS
Prerequisite: Algebra III and Trigonometry 5
Periods ½ Year 0.5 Unit Grade 10, 11, 12
Analytic Geometry Honors applies algebraic and trigonometric concepts to the study of geometry with an emphasis on theory, analysis and rigorous proof.
CALCULUS
Prerequisite: Analytic Geometry 5 Periods 1 Year 1.0 Unit Grade
11, 12
This course includes the study of functions, limits, and differential and integral calculus topics. Students will solve problems involving rates of change and the optimization of values, exploring many contextual applications of calculus.
*CALCULUS - ADVANCED PLACEMENT (AB)
Prerequisite: Analytic Geometry 5
Periods 1 Year 1.0 Unit Grade 11, 12
Advanced Placement Calculus (AB) provides the capable student the opportunity to study calculus with the theory and rigor necessary to prepare the student to take the Advanced Placement Calculus (AB) examination for advanced placement in college.
*CALCULUS – ADVANCED PLACEMENT (BC)
Prerequisite: Analytic Geometry
5 Periods 1 Year 1.0 Unit Grade 11, 12
Advanced Placement Calculus (AB or BC) offers the student a wider range of topics than Calculus (AB). With an emphasis on theory and application, this course prepares the student to take an Advanced Placement Calculus (BC) examination for advanced placement in college. Students are expected to do independent study of selected BC topics.
For electives that have limited enrollment, priority will be given to upper classmen who need the course to meet graduation, academy or pathway requirements.
COMPUTER PROGRAMMING I
Prerequisite: Algebra I 5 Periods ½ Year 0.5 Unit
Grade 9, 10, 11, 12
Computer Programming I in Visual Basic introduces students to the capabilities of computers and provides a fundamental knowledge of programming structures. By writing programs, students will use microcomputers as a problem-solving tool and learn techniques that are transferable to other programming languages.
COMPUTER PROGRAMMING II
Prerequisite: Computer Programming I 5 Periods ½
Year 0.5 Unit Grade 10, 11, 12
This course is rigorous; designed for capable students interested in writing programs using Java. They will expand their sequential and random access file management, and graphics and audio applications. This course will stress writing programs with applications to fields and a final project.
SAT MATH
5 Periods ½ Year 0.5 Unit Grade 11
SAT Math is a course designed to prepare students for the geometry, algebra and probability questions on the Scholastic Aptitude Test. Students will practice test-taking strategies, problem-solving skills and methods.