 # Math

In the spring, prior to the start of one’s freshman year, all incoming freshmen are required to take a qualifying exam to determine proper course placement in mathematics. Based on the results of this exam, the students may be placed in Algebra, Honors Algebra or Honors Geometry. The expected progression of each of these placements is listed below.

### Click here for Math Flow Chart.

standard Course Schedule
FreshmanSophomoreJuniorSenior
• Algebra I

• Geometry
• Algebra II w Trig/Algebra II/Honors Pre-Calculus*
• Calculus; or two of the following: Finite Mathematics with Applications; Algebraic and Financial Applications; and Introduction to Statistics
Honors  Course Schedule
FreshmanSophomoreJuniorSenior
• Honors Algebra
• Honors Geometry

• Honors Pre-Calculus
• Calculus; or AP Calculus AB; and/or AP Statistics

Advanced Placement Course Schedule
FreshmanSophomoreJuniorSenior
• Honors Geometry
• Honors Pre-Calculus
• AP Calculus AB
• AP Calculus BC; and/or AP Statistics

This flowchart shows the expected progressions of each placement, please note that a student must earn at least an 85 average in order to remain in the Honors/Advanced courses. If a student fails to maintain the required average, proper placement will be discussed by the Department Chair and Assistant Principal. In order to move into Honors or Advanced courses from a Regular Placement course, a student must earn a high A in his previous math course and receive approval from members of the Mathematics Department.

Note: Departmental approval is based on grade history and teacher recommendations.

#### MAT 101 - Algebra I

This course introduces students to the fundamentals of the language of mathematics and the applications of this language to the solution of problems. Topics include the order of operations; properties of real numbers; polynomials; factoring; operations with rational expressions; solutions of quadratic equations by factoring, completing the square, and the quadratic formula; graphs of inequalities; solutions of systems of equations by graphing, substitution and elimination. Special emphasis is given to the solution of verbal problems as applications of techniques taught throughout the year.

Prerequisite: None

#### MAT 102 - Honors Algebra I

The course includes an accelerated review of Algebra I topics along with the introduction of all the major topics included in a traditional Algebra II course including graphical translations; polynomial equations; radical functions and rational exponents; exponential and logarithmic functions; advanced factoring; complex numbers and set notation. This course is for students who have special talent and proficiency in mathematics and who have had significant exposure to Algebra prior to 9th grade.

Prerequisite: Performance on the Math Placement Test.

#### MAT 201 - Geometry

This course introduces students to the traditional Euclidean properties of plane and space figures and strives to give students an appreciation for the nature of deductive proof and its importance in mathematics. Topics include congruence; similarity; parallel lines; area of these apply to triangles, quadrilaterals, other polygons, circles; volume of prisms, pyramids, cylinders, cones and spheres; and right triangle trigonometry. This course provides a review of certain Algebra I topics, including writing the equations of lines and solving systems of equations.

Prerequisite: MAT 101 or 102

#### MAT 202 - Honors Geometry

This course covers all the concepts covered in MAT 201 in greater depth with an emphasis on the construction and application of formal proofs. Concepts are presented at an accelerated pace which allows the introduction of a greater variety of topics including Trigonometry, Coordinate Geometry and Conic Sections.

Prerequisite: 85 in MAT 102 or high A in MAT 101; subject to departmental approval

#### MAT 301 - Algebra II / Trigonometry

This course combines the content of a traditional Algebra II course including graphical translations; polynomial equations; radical functions and rational exponents; exponential and logarithmic functions; advanced factoring; complex numbers; and trigonometry. The concepts of relation and function are stressed throughout the course and many concepts are presented using graphs of functions to give visualizations of the ideas. All students will be required to have a graphing calculator.

Prerequisite: MAT 201 or 202

#### MAT 302 - Honors Pre-Calculus

This course is designed for specially qualified students who have demonstrated above-average ability and interest in mathematics and who have a strong desire to study Calculus [particularly AP Calculus] in the following year. The course presents content similar to that in MAT 301, but does so more rigorously. Students are also expected to encounter more challenging exercises and homework assignments. All students will be required to have a TI-89 graphing calculator.

Prerequisite: 85 in MAT 202 or passing score on placement test offered in the Spring

#### MAT303 - ALGEBRA II

This course combines the content of a traditional Algebra II course including graphical translations; polynomial equations; radical functions and rational exponents; exponential and logarithmic functions; advanced factoring; complex numbers;. The concepts of relation and function are stressed throughout the course and many concepts are presented using graphs of functions to give visualizations of the ideas. All students will be required to have a graphing calculator.

Prerequisite: MAT 201 or 202 and Math Department approval

#### MAT 402 - Calculus

This course will cover many pre-calculus topics in detail including a review of functions, trigonometry and the transcendental functions. The course will also cover many calculus topics including limits, the derivative and its many applications, and an introduction to the integral. All students will be required to have a graphing calculator.

Prerequisite: MAT 302 or 85 in MAT 301; subject to departmental approval

#### MAT 403 - AP Calculus AB

This course follows the syllabus for AP Calculus AB established by the Advanced Placement Program of the College Board. Limits, derivatives, integrals, and their applications will be studied. All students who take the AP Calculus course are required to have a TI-89 graphing calculator and to take the AP examination given in May.

Prerequisite: 85 in MAT 302; subject to departmental approval

#### MAT 404 - AP Calculus BC

This course follows the syllabus for AP Calculus BC established by the Advanced Placement Program of the College Board. It is intended for those students who have already completed MAT 403. Major topics to be covered are Integration techniques such as trigonometric substitution and partial fractions, convergence and divergence of infinite series, Taylor and Maclaurin series, approximation of definite integrals by series or by Simpson's Rule and applications of differentiation and integration on curves defined parametrically or in polar coordinates. All students taking the course must have a TI-89 graphing calculator and must take the AP examination in May.

Prerequisite: 85 in MAT 403 and minimum score of 3 on the AP Calculus AB test; subject to departmental approval

#### MAT 408 - AP Statistics

This course will follow the syllabus for AP Statistics established for the Advanced Placement Program of the College Board. All students will be required to take the AP Statistics Exam in May. The topics for the course are divided into four major themes: exploratory analysis, planning a study, probability, and statistical inference. Special emphasis is placed upon practical applications and the ability to detect statistical bias when reading interpretations of data. Students will be required to have a TI-89 graphing calculator.

Prerequisite: MAT 403, B in MAT 302 or high A in MAT 402; subject to departmental approval

#### MAT 412 ½ credit - Finite Mathematics with Applications

This course will focus on topics that students will generally see in their college Math courses through the lens of technology. Such topics include relations and functions, number systems, matrices, probability and statistics, and topics in business math. Students will become proficient in the use and application of technology such as graphing calculators, Microsoft Excel, and Google Sheets. The course will also present a brief overview of beginning computer programming using Python.

Prerequisite: Departmental approval; must be taken in conjunction with MAT 414.

#### MAT 414 ½ credit - Algebraic and Financial Applications

This course is geared toward students interested in business or the life and social sciences. It begins with the study of the mathematics of finance including, but not limited to, compound interest formulas, annuity formulas and loan payment formulas. Time is spent on the properties of and operations with matrices. This matrix theory is applied to the solution of multi-variable linear systems and in the Simplex Method of linear programming.

Prerequisite: MAT 301 or 302

#### MAT 416 ½ credit - Introduction to Statistics

This course is geared toward students with an interest in the laws of probability and statistics but who may not qualify for AP Statistics or do not have an interest in taking a full year course. The course explores the ideas of sample space, permutations, combinations and conditional probability (Bayes' Theorem). Additional topics that are developed are random variables, frequency and probability distributions, means, variances, standard deviations and normal and binomial distributions.

Prerequisite: MAT 301 or 302

#### MAT 418 ½ credit - Topics in Discrete Mathematics

Discrete mathematics and its applications is one of the most rapidly expanding areas in the mathematical sciences. The modeling and understanding of finite systems is central to the development of the economy, computer science, the natural and physical sciences, and mathematics itself. This course is geared toward students interested in business, social sciences, or life sciences. They will learn how mathematics plays such an important role in these fields. The course is intended to introduce students to discrete mathematics and its importance in today’s world. The topics and mathematical ideas the students will learn in this class lie outside of the typical high school math curriculum.

Prerequisite: MAT 403 (AP Calculus AB) or concurrent enrollment in MAT 403; subject to departmental approval

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