Mathematics
The Department curriculum gives attention to such topics as statistics, linear programming, probability, transformation, logic, modeling, and combinatorics, as well as traditional material. OES offers an honors upper level sequence which allows four semesters of mathematics to be completed in three semesters. The fourth semester is then used to begin Calculus. This sequence is available to students who exhibit the desire and the mathematical maturity to take Calculus BC.
| Individualized Algebra Geometry Algebra 2 Honors Algebra 2 FST (Functions, Statistics, Trigonometry) Honors FST/PDM |
PDM (Precalculus and Discrete Math) |
Course Descriptions
INDIVIDUALIZED ALGEBRA
Algebra lays the groundwork and introduces the language of elementary
mathematics. It covers the topics of traditional algebra courses,
such as linear systems, exponents and polynomials. Quadratic equations
are introduced. Problem solving and the reading of mathematics
are major aspects of the curriculum. This course is offered when
sufficient need arises. (Prerequisite: Prealgebra) A student should
be enrolled in this course no later than the freshman year.
GEOMETRY
Geometry analyzes the mathematical concept of shape and the characteristics
when shape is rotated, reflected, or translated. Traditional Euclidean
concepts are discussed: transformational and coordinate geometry,
congruence, circle concepts, and volumes including the Platonic
solids. Non-Euclidean concepts such as viewing three dimensions
through a two-dimensional lens are introduced. Geometry integrates
algebra throughout the course and focuses on logic and the theory
of proof. Reading the mathematics, methods of problem solving,
and logical thinking are emphasized. A placement test is given
during the second semester to determine the appropriate level
of Advanced Algebra for the following year. (Prerequisite: Algebra)
ALGEBRA 2
Advanced Algebra develops the work begun in Algebra and Geometry.
The course emphasizes algebraic expressions and forms, particularly
linear and quadratic sentences, powers and roots, and functions
based on these concepts. Students begin to develop skills in manipulating
logarithmic, polynomial, and other special functions. Matrices,
systems of equations, and linear programming are studied. Reading mathematics and problem
solving are emphasized. (Prerequisite: Algebra, Geometry)
HONORS ALGEBRA 2
An Honors level Advanced Algebra course of study is offered to qualified students. It covers all Advanced Algebra topics more deeply and conics. It also develops more thoroughly analytical and reasoning skills and writing. (Placement is determined by a post-geometry test, teacher recommendation, and departmental approval.) (Prerequisite: Algebra, Geometry)
FST (FUNCTIONS, STATISTICS, TRIGONOMETRY)
This course places emphasis on functions (exponential, logarithmic,
polynomial), statistics (data collection, counting, probability,
binomial and normal distributions and confidence intervals and
hypothesis testing), and trigonometry (circular functions, triangles,
and graphs). (Prerequisite: Advanced Algebra)
HONORS FST/PDM
This course presents the first two semesters of a three-semester
sequence developed to cover the material offered in FST and PDM.
The pace is accelerated and is therefore recommended for students
who can work with less reinforcement of the material. The emphasis
during this year will be on the topics from statistics, trigonometry,
and functions listed above. (Prerequisite: B- or better in Honors
Advanced Algebra, an A in Advanced Algebra, and a teacher recommendation
and departmental approval. Additional summer work will be required
if entering from Advanced Algebra.)
PDM (PRECALCULUS AND DISCRETE MATH)
The sequel to FST, this course integrates the topics of discrete
mathematics (integers, logic, recursion and induction, combinatorics,
and sequences and series) with the typical contents of a precalculus
curriculum (equation theory, advanced trigonometry, vectors, complex
numbers, and polar coordinates). (Prerequisite: FST)
HONORS PDM/CALCULUS
This course completes the FST and PDM sequence including polynomial and rational functions, vectors, logic, and polar equations. The course then begins the introduction of the Calculus with a thorough treatment of the derivative. Integral Calculus is introduced and developed as time permits. (Prerequisite: B- or better in Honors FST/PDM)
CALCULUS AB
Calculus is a college-level course equivalent to approximately a semester and a half of college-level work. The course reviews the Cartesian plane and examines limits, logarithmic and exponential functions, trigonometric functions, and Differential and Integral Calculus with applications. A student is qualified to sit for the Advanced Placement Calculus AB examination. (Prerequisite: PDM)
CALCULUS BC
The calculus course builds on the calculus studied in HPDM/Calculus. The course reviews differentiation briefly and completes the integral calculus. It also introduces typical second-semester calculus topics: series, polar, parametric, and vector functions. The material prepares the student beyond what is required to sit for the BC level of the AP examination. (Prerequisite: B- or better in Honors PDM/Calculus)
AP STATISTICS
AP Statistics involves descriptive statistics (interpreting, organizing, and visualizing data), research design (planning procedures to collect data and determining how to measure and control variables), probability theory, simulation (modeling real-world situations with calculators and computers), and statistical inference (i.e., hypothesis testing and confidence intervals). Students are required to make extensive use of the TI-89 graphing calculator, especially the built-in statistical functions and tests; some activities and projects may involve computer software as well. Class activities include data collection and analysis, small group activities, and graphing calculator analysis. Projects involve data collection from the Internet and information collected from student-designed surveys. Even though the course includes theory, the primary emphasis is applied statistics and data analysis. Offered in alternate years with ATM. (Y)
FINITE MATH
Course description not yet available.
NUMBER THEORY
This course on advanced mathematic topics will include primes & composites, multiples & divisors, prime factorization, sums of higher powers, Fermat’s Last Theorem, simple Diophantine equations, continued fractions, base numbers, modular arithmetic, divisibility rules, linear congruences, Fibonacci numbers and the golden ratio. Problem solving and basic proofs will be emphasized. Students will be expected to keep up with daily homework assignments and to retain key concepts that will appear on tests and quizzes. At least one research project will be assigned. This course is designed for students who have successfully completed PDM; the material is also appropriate for students who have completed more advanced courses such as AP Calculus. (S)
