Curriculum Overview

Secondary Curriculum: Mathematics

Mathematics 6
Grade 6
10 credits
Students further their understanding of basic mathematics while honing their arithmetic skills. The course pays particular attention to orders of operations and beginning equations. Students spend time with word problems and are introduced to mathematics-in-real-life scenarios. The course includes a survey of statistical methods and graphing.

Pre Algebra A
Grade 7
10 credits
This course, intended for students who are not yet ready for a full-fledged Pre Algebra course, gives students a solid computational background. Students work simultaneously with all types of real numbers while paying careful attention to the orders of operation. An arduous introduction to single variable linear equations is also covered.

Pre Algebra B
Grade 7
10 credits
Designed to prepare any student for a first course in algebra, students work consistently to master basic computational skills involving all types of real numbers, as well as to understand the orders of operations. From there, students move on to work extensively with first order linear equations and are introduced to polynomials and their arithmetic.

Algebra I
Grade 8
10 credits
Students master the basic concepts of an elementary algebra course. Linear and second order equations, polynomials and their arithmetic, rational expressions and an introduction to the coordinate plane are the fundamentals of the course. Wherever possible, emphasis is placed on the role mathematics plays in modeling and solving real world problems.
Prerequisite: Pre Algebra

Geometry
Grade 9
10 credits
A complete overview of Euclidean geometry, this course stresses deductive reasoning and proof techniques, with particular emphasis placed on two-column proofs. Students spend time on geometric constructions and learn to use Euclidean geometry to model real life problems.
Toward the end of the course, students engage in a thorough review of algebra.

Prerequisite: Algebra I

Algebra 2/Trigonometry
Grade 10 & 11
10 credits
This fast paced course is intended for students who have not only demonstrated considerable mathematical aptitude but also a genuine love of mathematics. This course offers an extensive coverage of polynomial functions and The Fundamental Theorem of Algebra, rational functions as well as an introduction to the basic transcendental functions: exponential, logarithmic and trigonometric functions. Students receive a strong introduction to linear algebra as well as sequences and series. A TI-86 graphics calculator is required.

Prerequisite: Algebra 1

Pre Calculus
Grades 11 & 12
10 credits
This course is designed not only to prepare students for college mathematics but also for students who intend to take Advanced Placement Calculus their senior year. In addition to offering an extensive review of the concepts learned in Algebra 2, the course provides a rigorous overview of analytic geometric, sequences and series. Trigonometry, De Moivre’s Theorem and polar coordinates are among the special topics covered. The concept of the limit and the derivative are introduced and explored thoroughly toward the end of the course. Students spend extensive time studying the basics of transcendental functions: exponential, logarithmic and trigonometric functions.

Prerequisite: Algebra 2/Trigonometry

Advanced Placement Calculus AB
Grades 11 & 12
10 credits
Students complete the College Board’s AB Calculus rubric, which is akin to most first semester courses in Calculus offered at the university level. Limits and continuity, derivatives—their techniques and applications—single variable integration, computation of areas as well as the volumes of solids of revolution are covered. Among the theorems stressed in the course are the Intermediate Value Theorem, the Squeeze Theorem, Rolle’s Lemma, The Mean Value Theorem, and The Fundamental Theorem of Calculus. Students in the course also spend about one month reviewing for the AP Exam in May.

Prerequisite: Honors Pre Calculus and permission of the instructor and the Academic Dean

Economics
Economics is a two-term course that introduces students to the principles of both macroeconomics and microeconomics. The macroeconomics portion of this course provides students with an introduction into the workings of the national economy. Students will learn basic economic concepts such as the price system, supply and demand, and elasticity. Beyond this, students will build economic models to analyze the determinants of a country’s income, employment level, and price level. The models will also be used to show the means through which governments pursue economic policy through taxes, spending, and controlling the money supply. The microeconomics portion of this course focuses on how economic decisions are made by individuals, firms, and organizational structures. Topics include the structure of markets, the theory of the firm, product-market models, the factor market, market failures, specialization based on comparative advantage, and international trade. By the end of the year, students will have also gained a basic understanding of financial markets by participating in a state-wide stock market competition. This year-long course serves as a preparation for the Advanced Placement Examination in Macroeconomics and Microeconomics.

Prerequisite: Permission of the instructor and the Academic Dean