|
MATHEMATICS
The Mathematics Department teaches students the technical skills necessary to live and work productively as well as provide the strong background needed to pursue traditional mathematics studies. The department's offerings provide options for meeting the individual needs and goals of a broad range of students.
Individual differences exist between students, and the mathematics curriculum reflects these differences. Instructional techniques are adapted to accommodate differences.
Mathematics is a tool with a wide diversity of applications in other disciplines. The department's curriculum reflects this through courses that stress applications and problem solving, and emphasizes a transfer of skills learned. Electives encompass wide interests and needs.
Each student is encouraged to pursue mathematics to the level of his or her ability. The department is interested in not only having each student take as much math as he or she is capable of, but also in seeing that each student obtains the most possible from each course. The sequential nature of mathematics education requires a strict interpretation of course prerequisites. It would be to the student’s advantage to have earned a grade of “C” or better to advance to the next level.
As math teachers we are aware of the frequent use of calculators by our students. In order to teach students the appropriate use of calculators we strongly recommend each student purchase their own scientific calculator for use in school. We also require graphing calculators (Texas Instruments Model TI-83, TI-83 Plus or TI-84 Plus) for some of our college preparatory and accelerated courses.
The District’s requirement is that all students successfully complete Geometry.
Paul Paulsen, Department Chair
847-731-9440 – PaulsenP@zbths.org
The following grid should help in determining which classes are open to which grade levels.
Math Course Grid |
Pre-Algebra |
MA 153 |
9 |
10 |
11 |
12 |
Algebra 1 |
MA 155 |
9 |
10 |
11 |
12 |
Technical Geometry |
MA 173 |
|
10 |
11 |
12 |
Geometry |
MA 156 |
9 |
10 |
11 |
12 |
Accelerated Geometry |
MA 157 |
9 |
10 |
|
|
Survey of Math |
MA 166 |
|
|
11 |
12 |
Algebra 2 |
MA 158 |
9 |
10 |
11 |
12 |
Accelerated Algebra 2 |
MA 159 |
9 |
10 |
11 |
12 |
Trigonometry |
MA 172 |
|
|
11 |
12 |
Probability & Statistics |
MA 178 |
|
10 |
11 |
12 |
AP Statistics |
MA 182 |
|
|
11 |
12 |
Precalculus |
MA 160 |
|
|
11 |
12 |
Accelerated Precalculus |
MA 162 |
|
|
11 |
12 |
Calculus |
MA 164 |
|
|
11 |
12 |
AP Calculus BC |
MA 161 |
|
|
|
12 |
Intro to Programming |
MA 174 |
|
10 |
11 |
12 |
AP Computer Science A |
MA 175 |
|
|
11 |
12 |
PRE-ALGEBRA MA153
All Year - 1 Credit – 9, 10, 11, 12
Prerequisite: None
Fees: A scientific calculator with a fraction key is required.
Course Description: This course is designed to prepare the student for Algebra I. A review of basic concepts such as order of operations, integers, graphing, and fractions are the main emphasis of the course. We will also cover some topics in geometry such as area, volume, and properties of points, lines, and planes.
ALGEBRA 1 MA155
All Year - 1 Credit - 9, 10, 11, 12
Prerequisite: None
Fees: A scientific calculator with a fraction key is required.
Course Description: In this course the student is introduced to the vocabulary and symbolism of algebra. Through an understanding of basic ideas, skills are developed in operating with numbers and algebraic expressions and in solving equations. The student learns to make graphic representations of relationships between sets of numbers.
TECHNICAL GEOMETRY MA173
All Year - 1 Credit - 10, 11, 12
Prerequisite: Algebra 1 with math teacher recommendation
Fees: Scientific calculators are required.
Course Description: This course is designed to present the core concepts of geometry. It will include a study of plane geometric figures (triangles, rectangles, circles, parallelograms, etc.) with some work on figures in space such as rectangular solids, pyramids, cylinders, cones, and spheres. Relationships between geometric figures will be studied to include congruency and similarity. The student will problem solve from an investigative and algebraic standpoint throughout the course.
GEOMETRY MA156
All Year - 1 Credit - 9, 10, 11, 12
Prerequisites: Algebra 1 and math teacher recommendation
Fees: Scientific calculators are required.
Course Description: This course is designed to provide the student a strong background in the various types of mathematical reasoning and problem solving. Solving problems using geometric properties, visualizing and analyzing geometric relationships in two and three dimensions, investigating connections of geometry to algebra, probability, trigonometry, and discrete mathematics, and developing inductive and deductive reasoning skills are all included to help students use mathematics in their daily lives and prepare them for success in future courses and careers.
AC GEOMETRY MA157
All Year - 1 Credit (Grade Weighted) 9, 10
Prerequisites: Algebra 1 with recommendation by Algebra 1 instructor
Fees: Scientific calculators are required.
Course Description: Accelerated Geometry is designed to help students develop an understanding of geometric relationships in a plane and in space. Students develop the ability to think creatively, critically, and in a deductible manner through a study of proofs in a mathematical situation. Geometry is integrated with arithmetic, algebra, and numerical trigonometry.
SURVEY OF MATH MA166
All Year - 1 Credit – 11 & 12
Prerequisite: Algebra 1 and Geometry.
Fees: A scientific calculator with a fraction key is required.
Course Description: An applied mathematics course with emphasis placed upon practical applications. The course consists of topics such as graph theory, voting and apportionment, statistics, geometry and consumer math. The course stresses the connections between contemporary mathematics and modern society. The course will attempt to give students the skill-building and practice that is essential at this level, along with the applications and technology needed to foster an appreciation of mathematics through high school and beyond.
ALGEBRA 2 MA158
All Year - 1 Credit - 9, 10, 11, 12
Prerequisites: Algebra 1, Geometry, or Technical Geometry with teacher approval
Fees: Graphing calculators (Texas Instruments Model TI-83, TI-83 Plus or TI-84 Plus) are required – approximately $100.
Course Description: Topics in this course include the study of many types of functions such as linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. Other topics are inequalities, systems of equations and inequalities, matrices, polynomials, powers, roots, radicals, trigonometry, and logarithms. Emphasis is placed on understanding concepts and mastery of manipulative skills necessary in applying mathematical principles to problem solving. Graphing technology is used throughout this course so a TI-83 plus g
AC ALGEBRA 2 MA159
All Year - 1 Credit (Grade Weighted) - 9, 10, 11, 12
Prerequisites: Algebra 1 and teacher recommendation.
Fees: Graphing calculators (Texas Instruments Model
TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: A brief review of Algebra 1 is followed by the topics of real numbers; coordinate geometry, polynomials, functions (quadratic, linear, exponential, and logarithmic), logarithms, arithmetic and geometric progressions, the binomial theorem, and matrices. Emphasis is placed on an understanding of concepts and mastery of the manipulative skills necessary in applying mathematical principles to problem solving.
TRIGONOMETRY MA172
Either Semester - .50 Credit - 11, 12
Prerequisites: Geometry and Algebra 2
Fees: Graphing calculators (Texas Instruments Model
TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: One semester course designed for college bound students who desire more high school math but do not feel prepared for the rigors of precalculus. Right triangle trigonometry, trigonometric functions (and their inverses), and identities will be the main topics of study.
PROBABILITY AND STATISTICS MA178
Either Semester - .50 Credit – 10, 11, 12
Prerequisite: Geometry and Algebra 2 (or concurrent enrollment in Accelerated Algebra 2).
Fees: Graphing calculators (Texas Instruments Model TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: The purpose of this course is to introduce students to the major concepts and tools for elementary statistics and probability. Students will use the graphing calculator extensively. Topics include: introduction to statistics, descriptive statistics, probability, probability distributions, correlation, and regression, and introduction to hypothesis testing.
AP STATISTICS MA182
All Year – 1 Credit (Grade Weighted) –11, 12
Prerequisite: Geometry and AC Algebra 2 (or concurrent enrollment in either Precalculus)
Fees: A.P. examination fee. Graphing calculators (Texas Instruments Model TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to the following themes: exploring and gathering data, randomness and probability, planning a study, anticipating patterns and statistical inference. The goal is to make this introduction to Statistics accessible to students pursuing careers in a variety of disciplines.
PRECALCULUS MA160
All Year - 1 Credit - 11, 12
Prerequisite: Geometry and Algebra 2
Fees: Graphing calculators (Texas Instruments Model
TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: This course will emphasize understanding concepts and mastering manipulative skills necessary in applying mathematical principles to solving real world problems. Consists of factoring, complex fractions, trigonometry, conic sections, sequences and series, vectors,
and functions.
CALCULUS MA164
All Year - 1 Credit - Elective 11 - 12
Prerequisite: Precalculus
Fees: Graphing calculators (Texas Instruments Model
TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: This course is intended for students who have a solid foundation in algebra, geometry, trigonometry, and precalculus. Topics include: functions, graphs, limits, differentiation, applications of differentiation, integration, and the applications of integration. The course will emphasize the application of calculus to a variety of disciplines.
AC PRECALCULUS MA162
All Year - 1 Credit (Grade Weighted) - 11, 12
Prerequisite: Geometry and AC Algebra 2, or Precalculus, or teacher recommendation
Fees: Graphing calculators (Texas Instruments Model
TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: A "pure" mathematics course with emphasis placed upon the theory of mathematics as well as its applications. Consists of a thorough treatment of trigonometry as well as units on analytic geometry, sequences and series, limits, functions, polynomial equations, and vectors.
AP CALCULUS (BC) MA161
All Year - 1 Credit (Grade Weighted) - Elective 12
Prerequisite: AC Precalculus ("B" or better each semester)
Fees: A.P. examination fee. Graphing calculators (Texas Instruments Model TI-83, TI-83 Plus or TI-84 Plus) are required - approximately $100.
Course Description: This course is the equivalent of a typical first year college calculus course. Topics to be covered include limits, differentiation, integration, series, parametrics, and polar coordinates. The goal of the course is to have all students earn a grade of a three or higher on AP Calculus BC Exam.
COMPUTER CLASSES
INTRODUCTION TO PROGRAMMING MA174
Either Semester - .50 Credit - Elective 10, 11, 12
Prerequisite: Any Geometry course or concurrent enrollment in Geometry
Fees: Lab materials required.
Course Description: Introduction to Computer Programming is a semester long course to introduce students to the Java programming language. The course covers data types, Strings, math operations, decision making, loops, data file basics, arrays, and web page applets. The course ends with the students working on a project of their choosing over a two-week period and a short presentation of the program to the class. If approved by the teacher, the students will have the option of posting this project on the world wide web.
AP COMPUTER SCIENCE A MA175
All Year - 1 Credit (Grade Weighted) - Elective 11, 12
Prerequisite: Introduction to Programming
Fees: Lab materials and AP examination are required.
Course Description: AP Computer Science A is a yearlong course in the Java language that builds on the course Introduction to Computer Programming. The course covers designing classes, testing and debugging, inheritance, polymorphism, interfaces, Array Lists, sorting, searching, recursion, event handling, GUIs, exception handling, system design, and computer related number systems. An emphasis in this course is the Java Marine Biology Simulation, an integral part of the AP Test.
MATHEMATICS SEMINAR TBA
Either Semester - .50 Credit - Elective 10, 11, 12 - may be repeated for a total of one credit
Prerequisite: Written teacher and Department Chair approval
Fees: To be set
Course Description: Designed for students wishing to obtain specialized mathematics credit. Includes an in-depth project in the seminar area of study.
|
