Mathematics

This course will formalize and extend the mathematics that students learned in the middle grades. Instructional time will focus on four critical areas: (1) deepen and extend understanding of linear and exponential relationships; (2) contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; (3) extend the laws of exponents to square and cube roots; and (4) apply linear models to data that exhibit a linear trend. A TI 83+ or TI84+ graphing calculator is required.

GEOMETRY

Grade 9-10, 5 Credits, Honors - 421, Level 1 - 422, Level 2 - 423

This course will formalize and extend students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships by presenting and hearing formal mathematical arguments. Instructional time should focus on six critical areas: (1) establish criteria for congruence of triangles based on rigid motions; (2) establish criteria for similarity of triangles based on dilations and proportional reasoning; (3) informally develop explanations of circumference, area, and volume formulas; (4) apply the Pythagorean Theorem to the coordinate plane; (5) prove basic geometric theorems; and (6) extend work with probability. A scientific calculator is required.

Guideline for election: Successful completion of Algebra 1.

ALGEBRA II

Grades 10-11, 5 Credits, Honors - 431, Level 1 - 432, Level 2 – 433

Building on their work with linear, quadratic, and exponential functions, students will extend their repertoire of functions to include logarithmic, polynomial, rational, and radical functions. Students will work closely with the expressions that define the functions, will become faclie with algebraic manipulations of expressions, and will continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Instructional time will focus on four critical areas: (1) relate arithmetic of rational expressions to arithmetic of rational numbers; (2) expand understandings of functions and graphing to include trigonometric functions; (3) synthesize and generalize functions and extend understanding of exponential functions to logarithmic functions; and (4) relate data display and summary statistics to probability and explore a variety of data collection methods. A TI 83+ or TI 84+ graphing calculator is required.

Guideline for election: Successful completion of Geometry or taking Geometry concurrently.

TRIGONOMETRY / PRE-CALCULUS

Grades 11 – 12, 5 Credits, Honors - 441

Precalculus combines the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus, and strengthens students’ conceptual understanding of problems and mathematical reasoning in solving problems. Facility with these topics is especially important for students intending to study calculus, physics, and other sciences, and/or engineering in college. Focus will be in four critical areas: (1) extend work with complex numbers; (2) expand understanding of logarithmic, trigonometric and exponential functions; (3) use characteristics of polynomial and rational functions to sketch graphs of those functions; and (4) perform operations with vectors. A TI 83+ or TI 84+ graphing calculator is required.

Guideline for election: 85 or better in Algebra 2 or permission of instructor.

ADVANCED PLACEMENT CALCULUS BC

Grade 12, 5 Credits, AP – 450

This course is intended for students who have demonstrated superior proficiency in mathematics. This course is the equivalent of two semesters of college Calculus. The course will follow the College Board syllabus for AP Calculus BC and includes differential and integral calculus. Details about the course content can be found by accessing The College Board website. A TI 83+ or TI 84+ graphing calculator is required. Students are prepared for and required to take the Advanced Placement Examination in May.

Guideline for election: 85 or better in Honors Trig/Pre-Calculus or permission of instructor.

ADVANCED PLACEMENT CALCULUS AB

Grade 12, 5 Credits, AP - 451

This course is the equivalent of one semester of college Calculus. The course is fast-paced with a curriculum dictated by The College Board. The course will follow the College Board syllabus for AP Calculus AB and includes differential and integral calculus. Details about the course content can be found by accessing The College Board website. A TI 83+ or TI 84+ graphing calculator is required. Students are prepared for and required to take the Advanced Placement Examination in May.

Guideline for election: 85 or better in Trigonometry/Pre-Calculus or permission of instructor

CALCULUS HONORS

Grade 12, 5 Credits, Honors- 452

This course covers most of the same topics that are present in Calculus AP but at a slower pace and without trigonometry. Topics studied include continuity, limits and their properties, differentiation and its applications and integration and its applications. These topics are studied using algebraic, exponential and logarithmic functions. Students selecting this course should understand that a lot of time and effort are required for success. This course is excellent preparation for students who intend to study Calculus (without trigonometry) in college. A TI 83+ or TI 84+ graphing calculator is required.

Guideline for election: 85 or better in Trigonometry/Pre-Calculus Level 1 or 75 or better in Trigonometry/Pre-Calculus Honors.

AP STATISTICS

Grades 11-12, 5 Credits, AP- 474

This course is equivalent to a one semester, introductory, non-calculus-based, college course in statistics and will introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference and will be required to work independently and make statistical presentations. Technology will be used extensively in this course for data analysis collection and the simulation approach to probability. Students are prepared for and required to take the Advanced Placement Examination in May.

Guideline for election: 85 or better in Trigonometry/Pre-Calculus or Algebra 2 or permission of instructor.

PRE-CALCULUS

Grades 11 – 12, 2.5 Credits, Level 1 - 442

Guideline for election: Successful completion of Algebra 2.

TRIGONOMETRY

Grade 11-12, 2.5 Credits, Level 1 - 444, Level 2 - 443

This semester course is intended for those students who will not pursue the study of Calculus, but intend to continue on to college. The course will be an introduction to the elementary trigonometric functions, their graphs, and their practical applications and will help prepare students for the SAT. The topics covered will include trigonometric and circular functions; their inverses and graphs; relations among the parts of a triangle; trigonometric identities and equations; solutions of right and oblique triangles; and oblique numbers. A TI 83+ or TI 84+ graphing calculator is required.

Guideline for election: Successful completion of Algebra 2

MATHEMATICS of CRYPTOLOGY

Grades 11-12, 2.5 Credits, Level 1 - 460

This math elective will study the history, composition, design, use, and analysis of methods and systems used to encrypt and decrypt messages. This course covers classical cryptosystems from shift ciphers to the enigma machine. Digital signatures, secret sharing, and other techniques and methods of cryptology may be explored. Mathematical topics of probability, permutations, combinations, matrices, long division of polynomials, logarithms, and modular math will be used. Projects of coding and decoding will be a major aspect of the course. Guideline for election: Successful completion of Algebra 2.

STATISTICS A

Grades 11-12, 2.5 Credits, Level 1-475

In this course, students will learn all of the main concepts and the varied tools used in collecting, analyzing, and drawing conclusions from data. In addition, they will explore the patterns and rules encountered in using descriptive statistics, in applying inferential statistics, and in determining probabilities. Topics will include exploring and gathering data, models of distribution, describing relationships, designing studies, and touching upon probability. Students will explore how to effectively use the power of the graphing calculator to create, refine, and utilize statistical models. This course will end with a culminating project.

Guideline for election: Successful completion of Algebra 2.

INTRO TO STATISTICS

Grades 11-12, 2.5 Credits, Level 2-476

In this course, students will learn all of the main concepts and the varied tools used in collecting, analyzing, and drawing conclusions from data. In addition, they will explore the patterns and rules encountered in using descriptive statistics. Topics will include exploring and gathering data, models of distribution, describing relationships, and designing studies. Students will explore how to effectively use the power of the graphing calculator to create, refine, and utilize statistical models. This course will end with a culminating project.

Guideline for election: Successful completion of Algebra 2.

STATISTICS B

Grades 11-12, 2.5 Credits, Level 1-477

This course is a continuation of Statistics A. Topics will include random variables, sampling distributions, confidence intervals, population proportions and means, hypothesis testing, and inference for distributions. Students will explore how to effectively use the power of the graphing calculator to create, refine, and utilize statistical models.

Guideline for election: Successful completion of Statistics A.

PROBABILITY

Grades 11-12, 2.5 Credits, Level 2 - 478

This course covers the basic principles of the theory of probability and its applications. Topics include combinatorial analysis used in computing probabilities, combinations and permutations, conditional probability and independence of events; discrete probability; joint, marginal, and conditional probabilities; laws of large numbers.

SAT PREP

Grade 11, 2.5 Credits, 480

This course is designed to prepare students for the Mathematics section of the SAT. A variety of mathematical concepts will be reviewed. Test taking skills and practice tests will be an integral part of the course. A scientific calculator is required. First semester students should be taking the SAT in the spring, whereas second semester students should be taking the test in the fall.

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