Bogota Junior/Senior High School
Bogota, New Jersey
Math Department
COURSE GUIDE
2006-2008
MATHEMATICS DEPARTMENT
ALGEBRA I FULL YEAR 5 CREDITS
Prerequisite: None
Grade: 9
Algebra I is the study of expressions involving letters that represent numbers. The student uses past knowledge of arithmetic to solve more difficult problems. The following topics are included: negative numbers, irrational numbers, equations, polynomials, polynomial operations and inequalities. Problem solving techniques are applied throughout the year. The course will incorporate and review the topics needed on the district and/or state mandated tests.
ALGEBRA I - HONORS FULL YEAR 5 CREDITS
Prerequisite: B+ in Math 7 (Department Recommendation)
Grade: 8
Algebra I - Honors is the study of expressions involving letters that represent numbers. The student uses past knowledge of arithmetic to solve more difficult problems. The following topics are included: negative numbers, irrational numbers, equations, polynomials, polynomial operations and inequalities. Problem solving techniques are applied throughout the year. The course will incorporate and review the topics needed on the district and/or state mandated tests. Algebra I - Honors will expand the standard course to include more complex problems on a variety of topics.
GEOMETRY FULL YEAR 5 CREDITS
Prerequisite: Algebra I
Grade: 10 - 12
Geometry is a mathematical system with three objectives. Geometry provides practice with logical deduction, uniquely connects mathematics with the real physical world, and enables ideas from other areas of mathematics to be pictured. The course will include traditional geometry, coordinate geometry, and transformational geometry. The course will incorporate and review the topics needed on the district and/or state mandated test.
GEOMETRY HONORS FULL YEAR 5 CREDITS
Prerequisite: B in Algebra I - Honors
Grade: 9
Geometry is a mathematical system with three objectives. Geometry provides practice with logical deduction, uniquely connects mathematics with the real physical world, and enables ideas from other areas of mathematics to be pictured. The course will include traditional geometry, coordinate geometry, and transformational geometry. Honors Geometry will expand the standard geometry course with a wider variety of figures and more applications. More rigors will be applied in proofs. The study of three-dimensional geometry, areas, and volume will be expanded and more difficult problems of transformation and coordinates will be undertaken. The course will incorporate and review the topics needed on the district and/or state mandated test.
ALGEBRA II FULL YEAR 5 CREDITS
Prerequisite Algebra I
Grades: 10, 11
This course extends the material learned in Algebra I to include exponents, the function concept, logarithms, and exponential functions. Other areas of concern include quadratic, inequalities, complex numbers, sequences, series, and matrix operations. Problem solving techniques are applied throughout the course. The course will also incorporate and review the topics needed on the district and/or state tests.
ALGEBRA II - HONORS FULL YEAR 5 CREDITS
Prerequisite - Geometry Honors
Grades: 10
This course extends the material learned in Algebra I to include exponents, the function concept, logarithms, and exponential functions. Other areas of concern include quadratic, inequalities, complex numbers, sequences, series, and matrix operations. Problem solving techniques are applied throughout the course. The Honors course will expand the standard course to include more complex problems on a variety of topics. The course will also incorporate and review the topics needed on the district and/or state tests.
SEQUENTIAL ALGEBRA/GEOMETRY I FULL YEAR 5 CREDITS
Prerequisite: None
Grade: 9 - 10
Sequential Algebra/Geometry I is the presentation of the material of both Algebra and Geometry over a longer period of time. A three-year period will be given to the study of these two subjects. Sequential I will be limited to the topics from the Algebra I curriculum. Problem solving techniques are applied throughout the year. The course will incorporate and review the topics needed on the district and/or state mandated tests.
* Successful completion of Sequential Algebra/Geometry I, II, and III courses fulfills the 3-year mathematics requirement for graduation, however, it equates to 2 mathematics courses for college.
SEQUENTIAL ALGEBRA/GEOMETRY II FULL YEAR 5 CREDITS
Prerequisite: Sequential Algebra/Geometry I
Grades: 10 - 11
Sequential Algebra/Geometry is the presentation of the material of both Algebra and Geometry over a longer period of time. A three-year period will be given to the study of these two subjects. Sequential II will be the conclusion of the topics from the Algebra I curriculum and the first part of the Geometry curriculum. Problem solving techniques are applied throughout the year. The course will incorporate and review the topics needed on the district and/or state mandated tests.
*Successful completion of Sequential Algebra/Geometry I, II, and III courses fulfills the 3-year mathematics requirement for graduation, however, it equates to 2 mathematics courses for college.
SEQUENTIAL ALGEBRA/GEOMETRY III FULL YEAR 5 CREDITS
Prerequisite: Sequential Algebra / Geometry II
Grades: 11 - 12
Sequential Algebra/Geometry is the presentation of the material of both Algebra and Geometry over a longer period of time. A three-year period will be given to the study of these two subjects. Sequential III will be the conclusion of the topics from the Geometry curriculum. Problem solving techniques are applied throughout the year. The course will incorporate and review the topics needed on the district and/or state mandated tests.
*Successful completion of Sequential Algebra/Geometry I, II, and III courses fulfills the 3-year mathematics requirement for graduation, however, it equates to 2 mathematics courses for college.
Elective
This course extends the material learned in Sequential Algebra-Geometry I, II, and III to include real number systems and properties, linear equations and inequalities, systems of equations, matrices, polynomial and radical expressions, quadratic functions, and basic trigonometry.
Technology will provide a wide range of materials to meet a variety of learning styles, interests, and abilities. The students will be exposed to up-to-date, accurate information that will be easy to understand and applicable to them. The addition of new materials into the course will complement class instruction.
Honors TRIGONOMETRY - SENIOR MATH FULL YEAR 5 CREDITS
Prerequisite: B in Algebra II
Grades: 11 12 (H)
The Trigonometry section of this course stresses the mathematical skills necessary to solve triangles both in isolation and in real, life situations. The Senior Mathematics section integrates and further develops the mathematical concepts and skills of Algebra II. Included in the course are composite functions, logarithmic equations, matrix algebra, derivatives, sequences, series and probability.
Honors ELEMENTS OF COLLEGE ALGEBRA FULL YEAR 5 CREDITS
Prerequisite: C+ minimum in Algebra II
Grade: 12 (H)
This course is a Senior Elective for students preparing to enter college in the fall and want to maintain and enhance their mathematical skill. The course will include a wide variety of topics such as advanced algebra, theory of equations, elementary functions, basic probability, and statistics.
CALCULUS FULL YEAR 5 CREDITS
Prerequisite: B in Trig. /Sr. Math
Grade: 12 (H)
The primary goal of this course is to introduce the student to Calculus and present him/her with the basic concepts used in engineering, economics, life sciences, mathematics, and the physical sciences. A secondary aim is to incorporate previously learned mathematics and to include new concepts of Analytical Geometry. Application problems are included throughout the year.
ADVANCED PLACEMENT STATISTICS FULL YEAR 5 CREDITS
Pre-requisite: B+ in Algebra II
Grade: 12 (elective)
The purpose of Advanced Placement Statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.
Students are exposed to four broad conceptual themes. First, they will learn to explore data by observing patterns and departures from patterns. Second, they will be able to plan a study by deciding what and how to measure. Third, they will be able to anticipate patterns by producing models using probability and simulation. Fourth, they will be able to use statistical inference by confirming models.
HSPA MATHEMATICS FULL YEAR 5 CREDITS
Grades: 12
HSPA Mathematics is designed for students who did not score a proficient grade on the mathematics section of the N.J. state mandated test necessary for graduation. Students will work on their individual areas of weaknesses in preparation for a re-test and/or the SRA process. This course does not fulfill the Math requirement for graduation.
BASIC SKILLS MATHEMATICS FULL YEAR 5 CREDITS
Grades: 9 11
Basic skills mathematics is for students who were identified by the district and/or state mandated tests as below proficient in mathematics. Throughout the year students will work on the N.J. Core Standards. Problem solving techniques will be stressed all year. This course does not fulfill the Math requirement for graduation and may be counted as an elective.
SAT (Not presently offered ---Cross referenced with English Department)