Math Department

Placement

Sequence

Math course placement is determined upon admission to the School by previous transcripts or a one-time skills test. Students may not retake the skills test, but may adjust their math course during their first year after assessment by their math teacher, the Math Department Chair, and the

Students must complete through Algebra II to graduate, and our College Counseling Office recommends taking four years of high school

MS.405/ Pre-Algebra I

Building on arithmetic skills, Pre-Algebra I serves to strengthen core problem-solving skills and introduce the language and logic of algebraic thinking. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to whole numbers, integers, equations, fractions, decimals, ratios, proportions, percents, and graphing. With particularly advanced groups of Pre-Algebra I students, some basic geometry and statistics may be introduced. Pre-Algebra I is intended for 7th and 8th grade students who will benefit from spreading their Pre-Algebra experience over the course of 2 years.

MS.406/ Pre-Algebra II

Building on arithmetic skills, Pre-Algebra II serves to strengthen core problem-solving skills and introduce the language and logic of algebraic thinking. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to variables, mathematical expressions, integers, solving equations and inequalities, factors, fractions, exponents, rational numbers, ratios, proportions, basic probability, percents, linear functions, square roots, volume and area of geometric figures, and polynomials. Pre-Algebra II is intended for 7th, 8th, and 9th grade students who are able to master PreAlgebra concepts in a single year.

N.120/ Algebra I

Building on arithmetic and Pre-Algebra skills, Algebra I serves to strengthen core problem-solving skills and thoroughly investigate the language and logic of basic algebraic thinking. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to mathematical expressions, multi-step equations, integers, rational numbers, inequalities, exponents, polynomials, factoring, linear graphing, systems of equations, absolute value equations, rational expressions, radicals, radical equations, relations and functions, quadratic equations, and quadratic graphs. Algebra I is intended for 7th-10th grade students and is considered the first year of the required high school math sequence. All 7th and 8th grade students enrolled in Algebra 1 must complete the year with a B+ or higher final average with an B+ on the final exam in order to receive credit for this high school course. (1 credit)

N.130/ Geometry

Prerequisite: 8th-9th: B+ or better in Algebra I, 10th-12th: Algebra I

Building on arithmetic and Algebra I skills, Geometry is a traditional course in plane and spatial geometry. Geometry serves to strengthen core problem-solving skills and thoroughly investigate the language and logic within geometric topics. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to reasoning, symbolic logic, parallel and perpendicular lines, triangles, congruence, formal two-column proofs, quadrilaterals, parallelograms, area, surface area, volume, ratio and proportions, transformations, coordinate geometry, right triangle trigonometry, circles, and other related topics. Algebra I skills are woven into the course as a continual form of review. Geometry is considered the second year of the required high school math sequence and is normally sequenced between Algebra I and Algebra II, although motivated students may take Geometry concurrently with Algebra II Honors with approval from the Math Department Chair. (1 credit)

N.140/ Algebra II

Prerequisite: Algebra I and Geometry

Building on Algebra I skills and the logical thinking acquired in Geometry, Algebra II serves to strengthen core problem-solving skills and thoroughly investigate the language and logic of advanced algebraic thinking. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to linear equations, linear graphs, quadratic functions and graphs, rational functions and graphs, complex numbers, exponents, logarithms, trigonometric functions, and basic trigonometric graphs. Algebra II is considered the third year of required high school math sequence and is normally sequenced after Geometry. (1 credit)

N.141/ Algebra II Honors

Prerequisite: B+ in Algebra I and Geometry

Building on Algebra I skills and the logical thinking acquired in Geometry, Algebra II serves to strengthen core problem-solving skills and thoroughly investigate the language and logic of advanced algebraic thinking. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to linear equations, linear graphs, quadratic functions and graphs, matrices, rational functions and graphs, complex numbers, exponents, sequences and series, logarithms, trigonometric functions, and basic trigonometric graphs. Honors-level Algebra II includes a more in-depth treatment of Algebra II topics because it is designed for the highly motivated mathematics student. Algebra II Honors is considered the third year of required high school math sequence and is normally sequenced after Geometry, although motivated students may take Geometry concurrently with Algebra II Honors with approval from the Math Department Chair. (1 credit)

N.142/ College Preparatory Functions & Trigonometry

Prerequisite: Algebra II

Building on Algebra II skills and the logical thinking acquired in Geometry, College Prep Algebra serves to strengthen core problem-solving skills and thoroughly investigate the language and logic of advanced algebraic thinking while reinforcing basic and advanced algebraic concepts. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to graphing, conic sections, trigonometry, logarithms, introductory sequences and series, matrices, probability, statistics, graphing, and analyzing graphs. This course serves to reinforce the most critical skills from Algebra II, expose students to advanced Algebra II skills not yet explored, and prepare students for Pre-Calculus Honors. (1 credit)

N.143/ Statistics & Finance

Prerequisite: College Preparatory Functions & Trigonometry

This course is an introduction to statistics course designed to introduce students to statistical thinking, probability, and the interpretation of data. The second half of the course introduces students to the basics of personal finance and financial math. (1 credit)

N.161/ Pre-Calculus Honors

Prerequisite: B in Algebra II Honors

Building on Algebra II skills and the logical thinking acquired in Geometry, Pre-Calculus serves to strengthen core problem-solving skills and thoroughly investigate the language and logic of advanced algebraic and pre-calculus thinking. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to functions, families of graphs, polynomials, rational functions, power functions, trigonometry, trigonometric graphs, analytical trigonometry, conic sections, limits, and discrete math topics such as sequences and series, matrices, and probability. Pre-Calculus Honors includes a more in-depth treatment of Pre-Calculus topics because it is designed for the highly motivated mathematics student. (1 credit)

N.360/ AP Calculus AB

Prerequisite: B in Pre-Calculus Honors

This course fulfills the AB syllabus recommended by the College Board for the AP Examination in Mathematics. AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems represented graphically, numerically, analytically, and verbally, and to make connections among these representations. (1 credit)

N.361/ AP Calculus BC

Prerequisite: A+ in Pre-Calculus Honors

AP Calculus BC is roughly equivalent to a full year of college calculus. This course covers the AB topics as well as parametric, polar, and vector functions. Topics such as integration and differentiation are also explored in greater depth. Polynomial approximations and series is another optional component in the BC syllabus. The course teaches students to approach calculus concepts and problems represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. (1 credit)

N.363/ AP Statistics

Prerequisite: B in Pre-Calculus Honors

This course fulfills the AB syllabus recommended by the College Board for the AP Examination in Mathematics. The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. (1 credit)

N.183/ Advanced Mathematical Logic

Prerequisite: B or higher in Pre-Calculus Honors or approval of the instructor

Advanced Mathematical Logic is an intense study of the theorems of logic as they relate to the structure of mathematics. Starting with Boole’s Theorem and truth tables, the course works its way through logical proofs and strategies for evaluating the truth of logical propositions. This course includes tests for the sufficiency of logical operators, equivalence between logical systems and a study of necessary and sufficient conditions. Applications from this course include computer programming, proof writing for advanced math classes, and validity testing for arguments from math and science. (1 credits)

N.143/ College-Level Linear Algebra

Prerequisite: A in AP Calculus AB or B in AP

Calculus BC

Building on advanced algebra skills and logical thinking acquired in previous math courses, Linear Algebra serves to strengthen core problem-solving skills and thoroughly investigate the language and logic of advanced mathematical thinking while reinforcing basic and advanced algebraic concepts. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to linear equations, large systems of equations, matrices, determinants, linear transformations, vector spaces and subspaces, and orthogonal bases. The concepts from Linear Algebra are highly applicable in engineering, chemistry, physics, biology, economics, social sciences, and computer science. For those students who are interested, this course also provides students with the opportunity to earn up to three college credits through Stony Brook University’s ACE program. There is, however, an associated cost of $300 per three credits for those students who wish to enroll. (1 credit)

N.169/ College-Level Multivariable Calculus

Prerequisite: A in AP Calculus AB or B in

AP Calculus BC

Building on AP Calculus skills and the logical thinking acquired in previous math courses, Multivariable Calculus serves to strengthen core problem-solving skills and thoroughly investigate the language and logic of multivariable calculus thinking. In this course, students discover the beauty and order of mathematical relationships and acquire knowledge and skills related to calculus techniques for functions of three or more variables and includes the understanding of limits, continuity, differentiability, critical points, and integrals that apply to curves and surfaces defined by these functions. This course includes the study of gradients, Green's Theorem, Stokes' Theorem, partial differentiation, iterated integration, line integrals, vector-valued functions and their dot and cross products. The course will conclude with an introduction to differential equations and elementary analysis. For those students who are interested, this course may provide students with the opportunity to earn up to three college credits through Stony Brook University’s ACE program. There is, however, an associated cost of $300 per three credits for those students who wish to enroll. (1 credit)

N.170/ Advanced Topics in Mathematics

Prerequisite: B in Linear Algebra or Multivariable Calculus and instructor’s recommendation .

This course is a rigorous, college-level math course for high-achieving students of mathematics. Topics such as combinatorics, probability, real analysis, complex analysis, advanced calculus and number theory will be covered to expose students to a variety of advanced subjects. (1 credit)