# Mathematics Department

The Math Department believes that it is important that a student learn how to reason creatively, logically and independently. Through the medium of mathematics, students are challenged to reason deductively and offered opportunities to succeed in that endeavor. Individual differences among students are recognized and provided for through several sequential levels.

Department Chairperson: Ms. Linda Czajkowski | 732 549 1108 x638

## Algebra I (400)

Credits: 5Grade Level: 9th

Prerequisites: Placement determined by the High School Placement Test and grammar school transcript

This course is designed to develop the standard axioms of Algebra I while enhancing a student's basic skills in math. The beginning focus is on reinforcing pre-algebra skills of signed numbers, num-ber sense and order of operations. The pace of the course allows extra time for students who need additional time to master a concept. Integral exponents, linear equations and operations with polynomials are emphasized. Word problems are identified for use in science and advanced math courses. Every student should have a scientific calculator; however, a graphing calculator is recom-mended. (TI-83, TI-84, TI-84 Plus).

## Algebra I Accelerated (401)

Credits: 5Grade Level: 9th

Prerequisites: Placement determined by the High School Placement Test and grammar school transcript

This course assumes proficiency in the Pre-algebra skills of signed numbers, number sense and order of operations. Integral exponents, operations with polynomials and linear and quadratic equations are emphasized. Systems of two linear equations are introduced. Various types of word problems are identified for use in science and advanced math courses. Every student should have a scientific calculator; however, a graphing calculator is recom-mended. (TI-83 or TI-84/84 Plus).

## Algebra I Honors (402)

Credits: 5Grade Level: 9th

Prerequisites: Placement determined by the High School Placement Test and grammar school transcript/spring Algebra test

This course is designed to develop the standard axioms of algebra. Operation with signed numbers, integral exponents, both positive and negative as well as scientific notation are emphasized. Solving equations, inequalities and simplifying algebraic expressions is mastered. Elementary geometry formulas are applied to composite figures. Ratio, proportion problems, scientific notation and unit conversions help prepare students for science applications. Students will develop critical thinking skills through numerous and varied word problems using one and two variable equations and inequalities. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus).

## Geometry (410)

Credits: 5Grade Level: 9th, 10th

Prerequisites: Algebra I and/or department approval

This course introduces and develops fundamental Geometry con-cepts and their applications. There is emphasis on integrating Algebra I skills into the Geometry topics. Lines and planes, triangles, circles, polygons, similarity, congruence and basic trigo-nometry are studied at a pace that allows for students who need extra reinforcement to master concepts. Every student should have a scientific calculator; however, a graphing calculator is recom-mended (TI-83, TI-84, TI-84 Plus).

## Geometry Accelerated (411)

Credits: 5Grade Level: 9th, 10th

Prerequisites: Completion of an Algebra I course and department recommenda-tion based on Math Placement test.

This course introduces and develops multiple geometry concepts and uses a problem-solving base which integrates algebra skills. Students will study circles, triangles, polygons, lines and planes, similarity, congruence and basic trigonometry. Every student should have a scientific calculator; however, a graphing calculator is recommended. (TI-83, TI- 84, TI-84 Plus).

## Geometry Honors (412)

Credits: 5Grade Level: 9th, 10th

Prerequisites: Completion of Algebra I Honors with a "B+" or better average and/or department recommendation based on Math Placement Test.

Lines, triangles, polygons, similarity, congruence, right triangles and basic trigonometry, circles and surface area and volume are studied. Critical thinking skills are emphasized throughout the course. Every student must have a graphing calculator. (TI-83 or TI-84/84 Plus)

## Algebra II/Geometry Honors (422)

Credits: 5Grade Level: 9th, 10th

Prerequisites: "B+" average in Algebra I Honors or department approval

This is a rigorous, fast-paced course which covers a complete Geometry course and a complete Algebra II course in one year. In Semester I, students will study lines, triangles, polygons, similarity, congruence, right triangles, basic trigonometry rules, circles, surface area and volume. In Semester II, students will study the roots of an equation, rational exponents and functions, radicals and radical functions, various types of equations, variations, matrices, complex numbers, quadratic and trigonometric functions and conic sections. Critical thinking skills are emphasized throughout the course. Every student must have a graphing calcu-lator (TI-83 or TI-84/84 Plus).

## Algebra II (430)

Credits: 5Grade Level: 10th, 11th

Prerequisites: Completion of Algebra I course and a Geometry course.

This course covers fundamental operations on real numbers, complex numbers and polynomial expressions. Solving quadratic equations, solving and graphing equations and inequalities in one, two and three variables, variation and matrices are studied at a pace that allows for students who need extra reinforcement to master concepts. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus or better).

## Algebra II Accelerated (431)

Credits: 5Grade Level: 10th, 11th

Prerequisites: Completion of an Algebra I course and a Geometry course and/or department recommendation based on a placement test.

This course covers the fundamental operations on real numbers, complex numbers and polynomial expressions. Students are able to solve quadratic equations and resolve the relationship between roots, factors and coefficients of third and fourth degree equations. Other topics include equations and inequalities in one, two or three variables, variation and matrices. Emphasis is placed on problem solving. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus or better).

## Algebra II Honors (432)

Credits: 5Grade Level: 9th, 10th, 11th

Prerequisites: Completion of Geometry Honors with a "B+" or better average and/or department recommendation based on Math Placement test.

Roots, rational exponents and functions, radicals and radical functions, various types of equations, variation, matrices, complex numbers, quadratic and polynomial functions, trigonometric functions and conic sections are studies. Critical thinking skills are emphasized throughout the course. Every student must have a graphing calculator. (TI-83 or TI-84/84 Plus)

## Pre-Calculus (450)

Credits: 5Grade Level: 11th, 12th

Prerequisites: Algebra II and/or department approval

Students acquire and master the fundamental skills of algebra and trigonometry. Polynomial, rational, exponential, logarithmic and trigonometric functions are studied. Trigonometry topics include identities, right triangle applications and the Laws of Sines and Cosines. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus).

## Pre-Calculus Honors (452)

Credits: 5Grade Level: 10th, 11th, 12th

Prerequisites: Completion of Algebra II/Geometry Honors with a "B+" or better average or Algebra II Honors with a "B+" or better average or de-partmental recommendation.

This course includes pre-calculus topics such as polynomial, ra-tional, trigonometric, exponential and logarithmic functions and their graphs. Sequences, series, parametrics, vectors and polars are presented. The study of limits is introduced. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus).

## Advanced Algebra and Trigonometry (461)

Credits: 5Grade Level: 12th

Prerequisites: Algebra II and/or department approval

This course emphasizes the development of the algebra and trigo-nometry skills necessary for a first course in calculus. Essential topics are the polynomial, exponential, logarithmic and trigonometric functions and their characteristics. Trigonometry topics include identities, right angle applications and the Laws of Sines and Cosines. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus).

## Calculus I (463)

Credits: 5Grade Level: 11th, 12th

Prerequisites: Precalculus and/or department approval

Differential and integral Calculus topics are introduced and their applications, including related rate problems, area under a curve and minimizing and maximizing problems, are presented. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus). Classroom instruction will be done on a Texas instruments calculator.

## Statistics (464)

Credits: 5Grade Level: 12th

Prerequisites: Pre-Calculus or Calculus I and department recommendation

This course gives a basic introduction to the study of statistics. Topics covered include organizing data, variation, probability, normal distribution and hypothesis testing. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus).

## AP Calculus AB (465)

Credits: 5Grade Level: 11th, 12th

Prerequisites: Pre-Calculus Honors and department approval

AP Calculus AB is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra and Pre-Calculus. The course introduces the student to the methods and procedures of differential and integral calculus. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus). Classroom demonstrations are done on a Texas Instruments graphing calculator. Students are required to take the AP exam.

## AP Calculus BC (475)

Credits: 5Grade Level: 11th, 12th

Prerequisites: Pre-Calculus Honors and department approval

This course is a rigorous full year course in single-variable calculus that introduces the methods and procedures of differential and integral calculus plus the additional topics of parametric, polar and vector functions and series. Every student must have a graphing calculator. Students are required to take the Advanced Placement exam.

## AP Statistics (485)

Credits: 5Grade Level: 12th

Prerequisites: Calculus AB or Calculus BC or department approval

AP Statistics is a rigorous full year course that introduces to the student the concepts and tools of data description and organization, probability, normal distributions, variance and standard deviation, hypothesis testing, correlation, regression and inference. Every student must have a graphing calculator (TI-83 or TI-84/84 Plus). Stu-dents are required to take the AP exam.

## Introduction to Robotics (480)

Credits: 5Grade Level: 11th, 12th

Prerequisites: "B" or better in previous math and science classes; teacher rec-ommendation.

This class will introduce the student to basic programming as well as problem-solving strategies. The course will involve students in the development of various robotics and mechanisms. Students will work hands-on in teams to design, build, program and document their progress. Student-designed robots will be programmed to compete in various courses as developed by the First Tech Challenge Division of First Robotics.

## Introduction to Engineering Design (490)

Credits: 5Grade Level: 11th, 12th

Prerequisites: "B" or better in all math and science classes.

In this course, students are introduced to the engineering profession and a common approach to the solution of engineering problems. Students will progress from completing structured activities to solving open-ended projects and problems that require them to develop planning, documentation, communication, and other pro-fessional skills. Through both individual and collaborative team activities, projects, and problems, students will solve problems as they practice common engineering design and development proto-cols such as project management and peer review. Students will develop skill in technical representation and documentation of design solutions according to accepted technical standards, and they will use current 3D design and modeling software to represent and communicate solutions.

## Sports Management and Statistics (474)

Credits: 5Grade Level: 12th

Prerequisites: "B" or better in previous math classes; strong computer skills.

Students will gain a greater knowledge of mathematics in this elective course by connecting it to the real-world application in the sports world. Student work will be evaluated through tests, projects and writing assignments