Warren Hills Regional School District

Warren Hills Regional High School

Course of Study 2008-2009

Department of Mathematics

Warren Hills requires students to pass three high school mathematics courses as a graduation requirement.

i. Recommended High School Mathematics Sequence

* See the printed course of study or the PDF version for this table.

*Students who pass Algebra I with less than a 77 must take Algebra: Assessment and Application before Geometry.

Please be mindful of prerequisites. All prerequisites must be met before enrolling in a course.

Students who elect a course for which they have not been recommended are required to complete an appeal form. If the appeal is granted, a course preference form must be signed by a parent or guardian. No request will be considered after April 1, of the current school year.

Courses which are under-subscribed may not run.

ii. Course Descriptions

308 Integrated Math 1 (5 credits grade 9)

Prerequisite: Connected Mathematics 8

Integrated Math 1 is designed for non-college prep students. Students will use MathMatters 1, an integrated textbook, and will study the following topics: data and graphs; measurement; real numbers and variable expressions; two and three dimensional geometry; equations and inequalities; equations and percents; functions and graphs; relationships in geometry; polynomials; probability; and reasoning. Students will do problem solving and applications to prepare for the HSPA tests that will be administered during the junior year.

310 Integrated Math 2 (5 credits grade 10)

Prerequisite: Integrated Math 1

This course is designed for non-college prep students. Students will use MathMatters 2, an integrated textbook, and will study the following topics: data samples and display, algebraic expressions, equations and inequalities, probability, logic, properties of circles and polygons, graphing functions, graphing on a coordinate plane, transformations, systems of equations and inequalities, polynomials, three dimensional geometry, and basic right triangle trigonometry. Students will do problem solving and applications in preparation for the High School Proficiency Assessment (HSPA) administered in the junior year.

303 Algebra I (5 credits grades 9-12)

Algebra I involves the study of the real number system and its properties. It bridges the gap between the concrete ideas of arithmetic and the abstract ideas of higher mathematics. Algebra I includes study of equations and inequalities, operations with real numbers, algebraic expressions, functions and relations, quadratic equations, and irrational expressions. Problem solving will be incorporated throughout the course. Graphing calculators will be used in the analysis of real world data. A student who has a final grade of 93 in Algebra I may elect to take both Algebra II and Geometry the following year. Supervisor recommendation is required.

305 Algebra II (5 credits grades 10-12)

Prerequisite: Algebra I and Geometry.

This course is frequently required for college entrance and is essential for further work in mathematics and science. Algebra II is the study of the real and complex number systems. It is an extension of Algebra I consisting of more advanced and more abstract material. It expands the student’s understanding of the power of mathematics providing sophisticated mathematical models for studying and solving difficult problems.

307 Algebra: Assessment and Application (5 credits grades 9-12)

Prerequisite: Strong Algebra l skills are essential for success in all subsequent college prep mathematics courses. Students, who have earned a grade lower than 76 at the midyear mark in Algebra l, need additional instruction, and application experience in Algebra l concepts to be well prepared for more advanced mathematics courses. Algebra: Assessment and Application is the course which will provide the additional Algebra l experience needed by these students. In addition to strengthening their Algebra l skills, in Algebra: Assessment and Application, students will also have an opportunity to begin their exposure to the principals of Geometry, the next course in the college prep sequence.

306 Honors Algebra II (5 credits grade 10)

Prerequisite: 85 or better by the end of the second marking period in Honors Geometry or 93 or better in Geometry. Both require teacher recommendation.

Honors Algebra II is the rigorous study of the real and complex number systems. It is an extension of Algebra I consisting of more advanced and more abstract material. Some areas to be studied in the course include inequalities and applications, functions and variation, complex numbers, second-degree curves and quadratic systems. Enrichment topics will be discussed throughout the year. This course will be fast paced and rigorous.

313 Geometry (5 credits grades 9-12)

Prerequisite: 76 or better by the end of the second marking period in Algebra I and teacher recommendation

Geometry is one of the most important courses in mathematics education. Basic geometric figures such as point, line, plane, polygons and circles will be studied. Students will apply the properties of geometric shapes. Parallel lines, conditions for congruence and transformations will be taught in both plane and coordinate geometry. Methods of deductive reasoning will be used in writing geometric proof. Ratios and proportion will be applied to geometric figures. Additional topics include Pythagorean Theorem, trigonometric ratios and surface area and volume of solid figures. The student must employ Algebra throughout the study of Geometry.

317 Honors Geometry (5 credits grade 9)

Prerequisites: 93 or better by the end of the second marking period in Honors Algebra I and teacher's recommendation.

Honors Geometry is one of the most important phases of mathematical learning for the honor's mathematics student. An understanding of various aspects of geometry is essential to many fields of study. The course will include the rigorous study of basic geometric figures such as the triangle and circle using constructions and theorem proofs. Some other topics in the course are congruent and similar polygons, parallel lines and types of quadrilaterals. Methods of inductive and deductive reasoning will be studied. Enrichment material will be provided throughout the course. The course will allow an in-depth study of geometry with an emphasis on problem solving strategies.

321 Pre-Calculus (5 credits grades 11-12)

Prerequisite: 80 or better by the end of the second marking period in Algebra II. Must pass Algebra I, Geometry and Algebra II.

Pre-Calculus is a course dealing with one of the most practical and applicable branches of mathematics. In the analytic geometry section of the course students will be exposed to conic sections, graphing, and linear, quadratic, polynomial, rational, exponential and logarithmic functions. In the trigonometry segment of the course, students will learn methods to measure and work with triangle and to solve related problems. Pre-Calculus is a prerequisite for Discrete Math and Calculus.

324 Honors Pre-Calculus (5 credits grade 11)

Prerequisite: 90 or better by the end of the second marking period in Honors Algebra II and teacher's recommendation.

Honors Pre-Calculus course designed for the student who plans to take Calculus as a senior. The course begins with a brief review of algebra topics and then begins a study of functions and their properties. The functions examined include linear, quadratic, polynomial, rational, logarithmic and exponential. Notation, operations, and graphing along with solving equations involving functions will be included in the curriculum. The trigonometric functions, their graphs, applications, and various properties will be studied in considerable depth. As time permits the course may include matrices, sequences, and complex numbers. The purpose of this course is to prepare students with the techniques, problem-solving abilities and background necessary to perform well in college level math courses, especially Calculus.

325 Calculus (5 credits grade 12)

Prerequisite: 85 or better by the end of the second marking period in Pre-Calculus and teacher's recommendation.

This course is offered to those students with a special interest in math and/or science and who have completed the CP or Honors math course offerings by the end of the junior year. It is designed to be equivalent to the first semester of college calculus, covering the theory of limits, continuity, differentiation, and basic integration.

326 AP Calculus (5 credits grade 12)

Prerequisites: 90 or better by the end of the second marking period in Honors Pre-Calculus, with teacher's recommendation.

This course is offered to those students with a special interest in math or science and who have completed the Honors math course offerings by the end of the junior year. It is designed to be equivalent to the first semester of college calculus, covering the theory of limits, continuity, differentiation and basic integration. Students in this course are expected to take the Advanced Placement Calculus AB Exam.

331 Introduction to Computer Science (5 credits grades 9-12)

Prerequisites: 76 or better by the end of the second marking period in Algebra I. This course does not satisfy the graduation requirement in mathematics.

This course is recommended for the students interested in pursuing a career in the fields of mathematics, science or technology. The students will learn about computer science and its applications in the world around us. The course will emphasize developing problem solving skills through student produced programs in Java. Students will design, run, and edit programs using the computer. The course will also focus on career opportunities, computer ethics, computer history, and computer architecture.

333 Probability & Statistics (5 credits grades 11-12)

Prerequisite: This full year course is offered to college prep juniors and seniors who have earned credits in Algebra I, Geometry and Algebra II. In our everyday life we are bombarded by data and we are faced with the problem of making decisions such as choosing a college and investment options. Statistical analysis can help us to make business or personal decisions, as well as to understand research findings and statistical reports. Statistics is the science of collection, analysis, interpretation and presentation of data. Mathematical methods, especially methods of Probability Theory, play an important role in the study of statistics. Probability involves the study of purely chance phenomena. Computers and graphing calculators will be used throughout the course.

337 Consumer Math (5 credits grades 11-12)

This non-college prep course is designed to give students the mathematics skills they need for everyday life. Some topics to be studied in the course deal with taxes, installment buying, budgets, wages, banking, and transportation. Consumer Math is offered to students who have completed Integrated Math 1 and Integrated Math 2.

355 AP Computer Science (5 credits grades 10-12)

Prerequisite: Introduction to Computer Science . This course does not satisfy the graduation requirement in mathematics.

This course is designed as a preparatory course for the Advanced Placement Computer Science A Exam. AP Computer Science emphasizes object-oriented programming methodology with an emphasis on problem solving and algorithm development and is meant to be the equivalent of a first-semester course in computer science, It also includes the introductory study of data structures and abstraction. The course will also focus on career opportunities and computer ethics. Students are expected to take the AP Computer Science Exam.

363 Problem Solving Grade 11 (5 credits )

This course is a requirement for all juniors who scored below 210 on the NJ ASK8 and are not pursuing a college-prep curriculum. Problem solving among the content areas of numerical operations, algebra and patterns, geometry, and data analysis and probability will be emphasized. Students will do practice tests in the preparation for the New Jersey High School Proficiency Assessment (HSPA). Students must pass the HSPA in order to graduate from high school.

366 Problem Solving Grade 10 (2.5 credits)

This course is a requirement for all college prep students who scored below 210 on the NJ ASK8 and/or teacher recommendation. Problem solving among the content areas of numerical operations, algebra and patterns, geometry, and data analysis and probability will be emphasized. Students will do practice tests in the preparation for the New Jersey High School Proficiency Assessment (HSPA) and Scholastic Aptitude Tests (SAT’s). Students will be scheduled for this test in the spring of their sophomore year. Students must pass the HSPA in order to graduate from high school.

364 HSPA SRA Math (2.5 credits grade 12)

This course is required by the State of New Jersey for students who have scored beneath 200 points on the HSPA Exam. Students need to pass the HSPA Exam in order to graduate from high school. Students scoring below 200 points are deemed "not proficient" and will not be granted a diploma until they meet the math requirement. This includes both regular and special education students. Students enrolled in this course must have enough credits for a June graduation.

365 Discrete Mathematics (5 credits grade 12)

Prerequisites: Algebra I and II, Geometry, Trigonometry and Analytic Geometry.

This course is designed for the liberal arts student who desires a college preparatory math course. Logic and problem solving applications using discrete structures such as matrices, sequences, recurrence relations, probability, linear programming, and data analysis will be emphasized.