Algebra 1 will provide the basic foundation for all other high school math courses. Algebra I benefits students that are planning to enter vocational careers and/or post-secondary schools. Areas of study include fundamental algebra operations and their connections to the study of other branches of math. Students will experience math as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
Geometry will focus on the development of reasoning and problem solving skills, not necessarily mathematical in nature. Topics of study include review of selected algebraic skills (graphing, radicals, etc.), planar and spatial visualization, inductive and deductive reasoning, properties of various geometric figures (triangles, quadrilaterals, circles, etc.), and the continuous investigation of the relationships between Algebra and Geometry.
Honors Geometry will focus on the development of reasoning and problem solving skills, not necessarily mathematical in nature. Topics of study include inductive and deductive reasoning, special reasoning, proportional reasoning, and specific polygons and circles and their properties. Also, the concepts of three-dimensional geometry are integrated with plane geometry throughout the course. Honors Geometry places an emphasis on algebra concepts including writing equations of lines, solving systems of equations, solving advanced linear equations, and coordinate problems. For this reason, a strong background in algebra is highly recommended because connections between algebra and geometry are routinely made in this course. This course will closely parallel the Geometry course, but most topics will receive more in-depth treatment and include more challenging problems.
Integrated Mathematics emphasizes practical applications in Algebra and Geometry. Much of the curriculum previews material from Algebra 2. Formulas, variations, probability, data manipulation, conversions, radicals, right triangles, basic trigonometry, linear equations, factoring, and exponents include many of the topics covered. This course is hands-on and somewhat project based. College bound students who complete this course will need to take Algebra 2 as seniors.
Algebra 2 is a second course in Algebra, designed for those students who are planning on post-secondary education in an area of study that does not require an intense mathematics program. Major areas of study include: 1) review of Algebra 1 concepts, 2) functions (linear, quadratic, polynomial, rational, exponential, and logarithmic, 3) radicals, 4) conics, 5) irrational numbers, and 6) introductory Trigonometry.
HONORS ALGEBRA 2
Honors Algebra 2 is a second course in Algebra, designed for those students who are planning on post-secondary education in an area of study that may require advanced courses in mathematics, such as engineering, science, or mathematics. Major areas of study include the topics of Algebra 2, but the problems are more in-depth and challenging. In addition, trigonometry and conic sections are studied at the level that will prepare students to take Honors Pre-Calculus.
This course is designed for students who need to enhance their algebraic skills to prepare for College Algebra. It is an alternative or prerequisite to Pre-Calculus. This course is intended for those students who plan to continue their education beyond high school, but do not plan to major in the areas of science, mathematics, or engineering. Topics addressed include polynomial and rational functions and inequalities, various types of functions, logarithms, matrices, and trigonometry.
PROBABILITY AND STATISTICS
This is a one-semester course designed to study the basic concepts of Probability and Statistics with preparation for college bound students. This course will include: 1) graphical representations of data, 2) methods of analyzing data, 3) basic rules of probability, 4) distributions of probability, including binomial, Poisson, and hyper geometric, 5) properties of a normal curve and normal distribution, and 6) methods for finding samples of data from a population.
HONORS PRE-CALCULUS WITH TRIGONOMETRY
Honors Pre-Calculus is designed to prepare students for Calculus or other college mathematics courses in addition to standardized tests, college entrance exams, and the first year of college math. The major areas of study include: 1) functions, (linear, quadratic, polynomial, rational, exponential, logarithmic), 2) Trigonometry, 3) polar coordinates, 4) vectors, 5) analytic Geometry, 6) systems, 7) sequences, 8) introductory Calculus. This course will stress the theory and applications of such topics allowing the student to develop the necessary understanding to be successful.
ADVANCED PLACEMENT STATISTICS
AP Statistics is equivalent to a one-semester, introductory, non-calculus based, college-course in statistics. Students are exposed to four broad conceptual themes: Exploring Data, Sampling and Experimentation, Anticipating Patterns, and Statistical Inference. Students may elect to pay to take the optional AP exam in the spring for college credit.
ADVANCED PLACEMENT CALCULUS A/B
AP Calculus AB is the traditional first course in calculus. Students will study topics such as: 1) analytic Geometry, 2) limits, 3) differentiation, 4) maxima and minima, 5) introduction to integration with applications to area and volume. Use of a graphing calculator is required. Students who take this course gain college-level skills and have the option of earning college credit through either the AP exam or dual enrollment, both of which require an extra fee. Students must check with colleges for their individual policies regarding AP exams and dual enrollment credits.
ADVANCED PLACEMENT CALCULUS B/C
AP Calculus BC reviews the concepts and techniques of Calculus I, then extends the study of calculus to the syllabus of the College Board’s Advanced Placement test; Calculus BC. Students may choose to take this course for dual credit in conjunction with a local university. Topics beyond Calculus AB include parametric, polar and vector functions, application of derivatives to parametric, polar and vector functions, integration by parts, simple partial fractions, improper integrals, modeling with differential equations, series, convergence and divergence, Taylor series, power series.