Our Math Department

MATHEMATICS

Students may change academic levels based on classroom performance, teacher recommendation, parent request.

Note: Students enrolled in AP courses will be required to participate in additional activities outside of normal classroom time.

INTRODUCTION

Mathematics encompasses arithmetic, measurement, algebra, geometry, trigonometry, statistics, probability and other related fields.  It deals with numbers, quantities, shapes and data, as well as numerical relationships and operations.  Confronting, understanding and solving problems is at the heart of mathematics.  Mathematics is much more than a collection of concepts and skills; it is a way of approaching new challenges through investigating, reasoning, visualizing and problem solving with the goal of communicating the relationships observed along with solutions.

Students must be prepared for the technical society in which they live.  They should set clear expectations for themselves and achieve at levels that are appropriate.  Educators and parents must all work together to foster growth in each individual students. 

The professional staff must:

• Emphasize technology so that students will be prepared to function in their technical environment.
• Emphasize real world applications of mathematics.
• Incorporate interdisciplinary approaches to mathematics topics.

Students will:

• Develop problem solving and computational skills.
• Develop logical reasoning.
• Develop an understanding of uses of appropriate technology.

ILLINOIS STATE GOALS FOR MATHEMATICS:

• Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios, and proportions.
• Estimate, make and use measurements of objects, quantities, and relationships and determine acceptable levels of accuracy.
• Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems, and predict results.
• Use geometric methods to analyze, categorize, and draw conclusions about points, lines, planes,   and space.
• Collect, organize, and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

 Course Number: CG11/12
Course Title: ACT/PSAE Prep
Prerequisite: Staff Placement

This one-year course provides an intensive review of language arts and mathematic skills necessary for students to enhance knowledge and strategies to improve performance on the PSAE/ACT. Specific practice with Work Keys and on-line ACT sample exams are provided.

Course Number:                  G14/15

Course Title:                        Algebra I

Prerequisite:                        Staff Placement

This full-year course focuses on the development of topics in a typical high school Algebra I class.  These include, but are not limited to, using the language of algebra to model relationships with variables, expressions, and equations; finding and representing multiple types of algebraic relationships; solving equations and inequalities; and graphing equations.  Students will engage in problem solving activities in a cooperative learning environment, incorporating the use of an official scoring guide to help prepare the student to meet the appropriate state benchmarks.  A graphing calculator will be used and strongly recommended.

Course Number:                  G22/23

Course Title:                        Algebra I Honors

Prerequisite:                        Staff Placement

This one-year course is extremely rigorous and fast-paced.  Students should have a strong algebra background.  Also, students should be highly motivated and be able to work independently.  This course covers all the topics in Algebra I but with greater depth.  Additional topics consist of linear equations related to triangles and linear regression.  A graphing calculator will be used and strongly recommended.

Course Number:                  G24/25

Course Title:                        Geometry

Prerequisite:                        Credit Earned in Algebra I

This course includes traditional topics in plane geometry fully integrated with algebra skills.  Some solid geometry topics are included.  Topics include:  reasoning; angle relationships; congruence and similarity; properties of circles; perimeter, area, surface areas, and volume; right triangle trigonometry and the Pythagorean Theorem.  A graphing calculator will be used and strongly recommended.

Course Number:                  G26/27

Course Title:                        Math Foundations

Prerequisite:                        Staff Placement and Concurrent enrollment in G14/15 Algebra I

Students in this course will receive academic support to prepare students for success in Algebra I.  This course utilizes multiple alternative representations, collaborative teaming and cooperative group work for mastery of key concepts and skills in the study of Algebra.  Topics will coincide with the scope and sequence of Algebra I.  Successful completion of this course would provide elective credit toward graduation.  This class requires a scientific calculator Texas Instruments TI-30 or above TI-30 preferred.

Course Number:                  G28/29

Course Title:                        Geometry Honors

Prerequisite:                        Credit earned in Intermediate Algebra I Honors

This course includes traditional topics in plane and solid geometry integrated with advanced algebra skills.  Students will use analysis, synthesis, and evaluation processes.  Topics include:  the geometry topics listed for G24/25 including regular and irregular shapes; inductive and deductive reasoning; and proofs.  A graphing calculator will be used and strongly recommended.

Course Number:                  G30/31

Course Title:                        Algebra II/Trigonometry Honors

Prerequisite:                        Credit Earned in Geometry Honors, or Staff Placement, 10-11

This one-year course is extremely rigorous and fast-paced.  Students should have a strong algebra background.  Also, students should be highly motivated and be able to work independently.  Topics include, but are not limited to: the real number system, the basic rules of algebra, radicals and rational functions, polynomials and special product, factoring, fractional expressions, linear equations and modeling, quadratic equations, quadratic formula, complex numbers, other types of equations, linear inequalities, other types of inequalities, the Cartesian plane, graphs of equations, lines in the plane, functions, graphs of functions, combinations of functions, inverse, variation and mathematical models, quadratic functions, polynomial functions of higher degree, polynomial division and synthetic divisions, real zeros of polynomial functions, the Fundamental Theorem of Algebra, and rational functions.  A graphing calculator is required.

Course Number:                  G36/37

Course Title:                        Algebra II/Trigonometry

Prerequisite:                        Credit earned in Geometry

This course includes traditional intermediate algebra topics together with thorough treatment of trigonometry.  Topics include:  expressions, equations fractions in polynomial, radical, rational, exponential, and logarithmic form; systems of equations and inequalities; right angle trigonometry; laws of sines and cosines; periodic, circular, and trigonometric expressions, equations, and functions.  A graphing calculator is required for this course.

Course Number:                  G38/39   

Course Title:                        College Algebra/Trigonometry

Prerequisite:                        Credit Earned in Algebra II/Trig Honors, or Teacher Recommendation

This advanced algebra course extends traditional intermediate algebra topics together with through treatment of trigonometry.  Topics include: expressions, equations, functions in polynomial, radical, rational, exponential, and logarithmic form; systems of equations and inequalities; right angle trigonometry; laws of sines and cosines; periodic, circular, and trigonometric expressions, equations, and functions; synthetic division, transformation of functions, matrix algebra, sequences and series, and counting and probability.  A graphing calculator is required for this course.

Course Number:                  G44/45

Course Title:                        Trigonometry/Advanced Math

Prerequisite:                        Credit earned in Algebra II/ Trigonometry

This is a college-bound course, which emphasizes on algebraic, exponential, logarithmic, and trigonometric functions.  It also explores discrete mathematical concepts such as matrices, probability, and statistics.  Students who successfully pass this course should have the required mathematical skills to follow a Pre-Calculus course at the college level.  A graphing calculator will be used and strongly recommended.

Course Number:                  G46/47   

Course Title:                        Pre-Calculus

Prerequisite:                        Credit Earned in Algebra II/ Trig, or Teacher Recommendation

This course emphasizes graphs, zeros, and extremes of polynomial, rational, exponential, logarithmic, and trigonometric functions.  Other topics include analytic geometry, matrices, sequences and series, and descriptive statistics.  A graphing calculator is required.

Course Number:                  G48/49   

Course Title:                        Advanced Placement Calculus AB

Prerequisite:                        Credit Earned in College Algebra/ Trigonometry

This course follows the Topical Outline from the College Board for Advanced Placement Calculus AB, and is designed to prepare students for the advanced placement exam.  Topics include:  limits, continuity, derivatives, definite and indefinite integrals, differential equations, and a variety of applications.  A graphing calculator is required.

 Course Number:                 G62/G63

Course Title:                        Advanced Placement Statistics

Prerequisite:                        Credit Earned in Algebra II/Trig or teacher recommendation

This course follows the Topical Outline from the College Board for Advanced Placement Statistics, and is designed to prepare students for the advanced placement exam.  Topics include:  numerical and graphical approaches to data collection, representation, summarization, and analysis; conjecture and inference; and presentation of findings.  A graphing calculator is required.

Course Number:                  G92/93

Course Title:                        Advanced Placement Calculus BC

Prerequisite:                        Credit Earned in Calculus AB

This course follows the Topical Outline from the College Board for Advanced Placement Calculus BC, and is designed to prepare students for the advanced placement exam.  Topics include:  integration techniques, convergent and divergent series, parametric and polar functions, conics, vectors, functions of several variables, multiple integrals, and differential equations.  A graphing calculator is required.

Course Number:                  G98/99

Course Title:                        Independent Studies:  Math

Prerequisite:                        Recommendation of Instructor and administrative approval

This course may not be used to duplicate any other mathematics course offering.  The student should draft a proposal related to a mathematical topic outside the scope of the district curriculum.  Instructor and administrative approval will be based upon an evaluation of the student’s ability and the program proposed.

Course Number:                  HZ312/313

Course Title:                        General Math

Prerequisite:                        Team recommendation*

General Math is designed to teach the basic concepts of mathematics that are necessary for success in future math courses. Students will reinforce the four basic operations, as well as learn fractions and decimals; figuring ratio and proportions; measuring; understanding pre-algebra and more.

Course Number:                  HZ314/315

Course Title:                        Introduction to Algebra

Prerequisite:                        Team recommendation*

Introduction to Algebra is designed for students who need more instruction in mathematics before entering a formal algebra program. The course includes the following topics: a review of the four basic operations, as well as learning fractions and decimals, figuring ratio, proportions and percent, integers; replacing variables.

Course Number:                  HZ318/319

Course Title:                        General Algebra

Prerequisite:                        Team recommendation*

This course is designed to expand upon basic algebraic concepts obtained in the Introduction to Algebra course. This includes applying the use of variables to basic mathematic operations, working with algebraic expressions and solving algebraic equations.

Course Number:                   HZ334/HZ335
Course Title:                        HZ Geometry
Prerequisite:                         HZ General Algebra

Geometry is a one year long course for students who have successfully completes HZ General Algebra.  The course includes traditional topics in plane and solid Geometry fully integrated with Algebra skills.  Topics include: reasoning, properties of numbers and paralleled lines, triangle congruence and similarity properties, areas, volumes, and surface areas of various shapes, properties of circle, right triangle trigonometry and the Pythagorean Theorem.

Course Number:                  HZ398/399

Course Title:                        Independent Study

Prerequisite:                        Team recommendation* (instructor and administrator approval)