SCCHS: Course Guide: Mathematics Department

Mathematics

The Mathematics Department at SCCHS strives to encourage the development of the student's ability to organize and reason logically. The program promotes math skills and math in everyday life, the development of marketable skills, and the use of computers. The math courses encourage abstract thinking, critical thinking, reasoning and inquiry. The integration of books, charts and graphs is used to promote department objectives in the mastering of logic, algebraic, geometric and trigonometric skills and conceptual mathematics. The regents classes will make all the changes necessary to conform to the revised New York State curriculum standards.

Note: Students are required to use Texas Instruments 83-Plus graphing calculators in all Math courses.

Algebra 1A (pre-algebra)	Geometry H	Mathematical Applications I
Integrated Algebra 1R	Math 3R	Mathematical Applications II
Math 1B	Intermediate Algebra	H.S. Calculus
Geometry R	Pre-Calculus	Calculus AP
		Statistics AP

317. INTEGRATED ALGEBRA 1A

Full year course, Grade 9
Prerequisites: none.
Credit: 1 unit

This course is intended for the student who will benefit from additional instructional time and teacher intervention. This is predominantly a first year Algebra course that also includes selected topics from Real Numbers, Plane and Solid Geometry, Probability and Statistics. At the conclusion of this course, students will not take the Integrated Algebra Regents Exam. Instead they will take a school final exam reflecting the topics covered during the year.

Students taking Integrated Algebra 1A will be recommended to take Integrated Algebra 1B the following year. The first semester of this course will complete the study of Integrated Algebra and prepare students for the Integrated Regents Exam in January or June of their sophomore year. The second semester of Integrated Algebra 1B continues advanced elementary algebra and begins preparation for Geometry.

Objectives:

To provide additional academic intervention that will help build confidence in a student's ability to know and do mathematics.
To continue to develop a strong foundation of math skills and concepts that will help insure success in Integrated Algebra.
To provide additional time for students to prepare for the Integrated Algebra Regents Exam.

325. MATH 1B

Full year course, Grades 10-12
Prerequisites: Successful completion of Math 1A or the equivalent.
Credit: 1 unit

This course is a continuation of Math 1A, but it is also open to the student who has not yet earned Regents credit after taking Math 1. The student entering should be proficient in basic algebra skills. The course will culminate in the Regents Math A examination at the end of the year. The course content and objectives are the same as that presented for Math 1, except that the material is presented over four semesters instead of three.

311. INTEGRATED ALGEBRA 1R

Full year course, Grades 9-12
Prerequisites: Average /above average math ability based on teacher recommendation..
Credit: 1 unit

This is predominantly a first year Algebra course that includes selected topics from Real numbers, Plane and solid Geometry, Probability and Statistics. At the conclusion of this course in June, students will take the Integrated Algebra Regents Exam.

Objectives:

To develop proficiency in basic algebraic and problem solving skills.
To expand understanding of mathematical concepts and the ability to communicate and reason mathematically.

322. GEOMETRY R

Full year course, Grades 9-12
Prerequisites: Passing grade in Algebra; teacher recommendation.
Credit: 1 unit

This course is a continuation of Algebra. Among the topics covered are: logic, an introduction to mathematical systems, Euclidean geometry, coordinate geometry, solving quadratic equations, and probability with permutations and combinations. This is the second unified course which is part of the three-year math sequence in New York State.

321. GEOMETRY H

Full year course, Grade 9
Prerequisites: 85% on the final examination in Algebra
Credit: 1 unit

This course is a continuation of Algebra. Among the topics covered are: logic, an introduction to mathematical systems, Euclidean geometry, coordinate geometry, solving quadratic equations, probability with permutations and combinations, and transformation geometry. This is the second unified course which is part of the three-year math sequence in New York State.

326. MATH 3R

Full year course, Grades 10-12
Prerequisites: Passing grade in Math 1, Math 2, and the Math A Regents examination; teacher recommendation. The minimum passing grade in Math 2 for optimal success is 85%.
Credit: 1 unit

This course is the third year of the NYS Regents sequence in math. It is a further investigation into algebra. Trigonometry is considered, along with statistics. When complete satisfactorily, this course leads to Pre-Calculus and Calculus or Calculus AP.

367. INTERMEDIATE ALGEBRA

Full year course, Grades 10-12
Prerequisites: Passing Grade in Math 1 and/or Math 2 or permission of the department
Credit: 1 unit

This course is a review of basic algebra: solving equations and inequalities; working with polynomials; graphing (including linear functions, inequalities, quadratic functions, and second degree functions such as the circle, ellipse, parabola, and hyperbola); working with irrational numbers, radicals and complex numbers.

Objectives:
To further review and delve more deeply into topics originally studies in basic algebra.

338. MATHEMATICAL APPLICATIONS I

Full year course, Grades 11-12
Prerequisites: Math 1 and Math 2, or Math 1A and Math 1B
Credit: 1 unit

This course is designed to develop the specific skills needed to solve a wide variety of mathematical problems found in everyday life, including personal finance and business situations. The student will apply mathematical knowledge and thinking skills to address real-life problems and make informed decisions.

339. MATHEMATICAL APPLICATIONS II

Full year course, Grade 12
Prerequisites: Mathematical Applications I or Teacher Approval
Credit: 1 unit

Math Application II follows Math Applications I's focus on Personal Finance with a look at Business Finance. Math Apps II shows how math is used in various types of jobs, including personnel, manufacturing, purchasing, sales & marketing, distribution, services, accounting, and corporate financial management and planning.

May be taken for either Math or Business credit.

343. PRE-CALCULUS

Full year course, Grades 11-12
Prerequisites: 80% in Math A and Math B Regents Examinations, department approval
Credit: 1 unit

This course is a graphical approach to expose the student to a variety of advanced mathematical concepts, such as conic sections, number systems, linear and quadratic expressions, polar coordinates, special functions, sequences and series, limits, basic differentiation and integration, algebra of vectors and matrices, theory of equations, and some elements of solid geometry.

Objectives:
To further develop the student's math skills by mastering the above topics.

345. HIGH SCHOOL CALCULUS

Full year course, Grade 12
Prerequisites: Pre-Calculus, department approval, 80% average in Pre-Calculus
Credit: 1 unit

This course is a study of differential and integral calculus, presented on a high school level. It contains a less detailed study of the concepts of limits, differentiation, and integration, as well as their applications. It is designed for the student who needs a less rapid pace in order to handle the abstract topics developed in calculus.

Objectives:

To provide a basic understanding of the concepts of calculus to the student who hopes to pursue college calculus.
To develop the student's ability to express functions, concepts, problems, and conclusions "geometrically, numerically, analytically and verbally" and to understand how these are related.

341. CALCULUS AP

Full year course, Grade 12
Prerequisites: Pre-Calculus (taken previously or concurrently), department approval; 95% average in Pre-Calculus
Credit: 1 unit

This course is a study of differential and integral calculus, presented on a college level. It contains an in-depth study of the concepts of limits, differentiation, and integration, as well as their applications. These concepts are approached on both a graphical and intuitive basis. The course culminated in the Advanced Placement examination.

Objectives:

To give the student an understanding of the basic concepts of calculus on both a theoretical and practical basis.
To enable the student to solve problems using principles of calculus, both integral and differential.
To learn the equivalent of at least two semesters of college calculus.

361. STATISTICS AP

Full year course, Grade 12
Prerequisites: 90% in Math 3 or Pre-Calculus and teacher recommendation.
Credit: 1 unit

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 four broad conceptual themes:

Exploring Data: Describing patterns and departures from patterns
Sampling and Experimentation: Planning and conducting a study
Anticipating Patterns: Exploring random phenomena using probability and simulation
Statistical Inference: Estimating population parameters and testing hypotheses

May be taken for either Math or Business credit.