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Mathematics Department Courses

Core

These courses will focus on the fundamental concepts of a particular mathematics course, as well as the development of the ideas and the relationship of these ideas that constitute that particular branch of mathematics.

 

Academic

The requirements of these courses will be the same as that of core courses. In addition, the students will branch out into more detailed investigations of the core concepts and the fundamentals of mathematics.  Students in these courses will be required to provide more in-depth explanations of the concepts discussed in class.  In addition to a more in-depth approach to the content, the pace of the course will also be increased and require more independent work. 

 

Honors

The requirements of these courses will be the same as that of academic courses. In addition to the academic requirements, students will be asked to explore the core concepts and fundamentals of the course content in greater depth and also be asked to use higher level thinking skills to make connections among various aspects and branches of mathematics.  Students at this level will be asked to perform additional independent work throughout the course and move at a more accelerated pace compared to academic courses. 

 

Choosing a level:

Students should follow the guidelines below when choosing between the three level of the course:

●        To enter an academic level course, the student must have obtained a minimum of a B in a previous core course or a C in a previous academic course.

●        To enter an honors level course, the student must have obtained a minimum of a B in a previous academic course or a C in a previous honors course.  In addition, teacher recommendation should be obtained for all honors courses

 

 

202531 Academic Algebra I (Weight 1.1) (Grade 9)                                                                 1.0 credit

 

This course will be scheduled during semester 1.  Topics of algebra are explored at an accelerated pace using a practical approach. Topics in this course will include solving systems of equations, linear inequalities, problem solving, elementary statistics, polynomials, quadratic equations, factoring methods and radical functions.  Traditional and practical approaches will be utilized. Graphing calculators will be used for demonstration. TEACHER RECOMMENDATION IS REQUIRED FOR THIS COURSE.   

 

** Students will be required to participate in the Algebra 1 Keystone Exam at the end of the course.

 

 

202831 Academic Algebra 1 Part A (Weight 1.1) (Grades 9)                                                      1.0 credit

 

This course will be scheduled during semester 1.  Topics of algebra are explored at a modified pace using a practical approach.  Algebraic expressions and equations, linear equations, systems of equations, linear inequalities, problem solving, and elementary statistics are studied.  Traditional and practical approaches will be utilized. Graphing calculators will be used for demonstration.  

 

 

 

 

202931 Academic Algebra 1 Part B (Weight 1.1) (Grades 9)                                                      1.0 credit

 

This course is a continuation of Academic Algebra 1 Part A and will be scheduled during the second semester. Therefore, successful completion of Academic Algebra 1 Part A is a prerequisite. Traditional and practical approaches will again be utilized in this course.  Topics included in this course are polynomials, quadratic equations, factoring methods, radical functions, and connections to geometry.  Graphing calculators will be used for demonstration. 

 

** Students will be required to participate in the Algebra 1 Keystone Exam in semester 2 after completing both Part A and Part B.

 

203141 Algebra II (Weight – 1.1) (Grades 10, 11, 12)                                                                1.0 credit

 

This course is a continuation of Algebra I.  Therefore, successful completion of Algebra I is a prerequisite. This course will review and build on the fundamentals of Algebra I.  The main topics that will be studied include graphing, quadratic functions, polynomial functions, inverse functions, and radical functions.  Students are recommended to have a graphing calculator for this course. 

 

202631 Academic Algebra II (Weight – 1.1)                                                                             1.0 credit

 

This course includes a thorough review of the fundamentals of algebra. The operations and patterns of elementary algebra are taken to greater depths and are expanded to include higher level algebraic topics such as quadratic functions, polynomial functions, techniques for factoring polynomials, inverse functions, radical functions, rational expressions, and exponential and logarithmic functions. Students are recommended to have a graphing calculator for this course.

 

202621 Honors Algebra II (Weight – 1.2)                                                                                      1.0 credit                                              

 

This course parallels the content of Academic Algebra 2.  Topics will be presented at an accelerated pace and in greater depth than in Academic Algebra 2.  Students in this class will be asked to complete additional independent work related to the mathematics studied.  The use of a graphing calculator is an integral part of this course. 

 

204141 Geometry (Weight – 1.1) (Grades 10, 11, 12)                                                                  1.0 credit

 

Students who have completed the Algebra I Part I and Part II sequence may take this course.  Topics studied include parallelism, angle relationships, similarity, trigonometry, area, surface area, volume and the Pythagorean Theorem.  Real life applications of some of these concepts will be emphasized. 

 

204131 Academic Geometry (Weight – 1.1)                                                                                1.0 credit

 

This course guides students lesson by lesson through all the conceptual levels of geometry: visualization, analysis, informal reasoning, and deduction.  It is a comprehensive course that focuses on traditional theorems and postulates through the use of investigative and inductive methods.  Topics studied include parallelism, mathematical proof, congruence, similarity, polygons, circles, trigonometry, area, surface area and volume. 

 

204121 Honors Geometry (Weight – 1.2)                                                                                      1.0 credit    

 

This course parallels the content of Academic Geometry.  Topics will be presented at an accelerated pace and in greater depth than in Academic Geometry.  Students in this class will be asked to complete additional independent work related to the mathematics studied. 

203231 Academic Algebra III/Trigonometry (Weight – 1.1) (Grades 11, 12)                           1.0 credit

 

The study of algebra continues with polynomial functions, inverse functions, radical functions, and rational functions.  The final major portion of this course will be devoted to the study of trigonometry, with a focus on trigonometric functions and identities. Graphing calculators will be used throughout the course. This course will be used as a bridge between Algebra II and Pre-calculus. Teacher recommendation required.

 

 

205131 Academic Pre-Calculus/Trigonometry (Weight – 1.1) (Grades 10, 11, 12)                      1.0 credit

                                                                                                                                                                       

Pre-calculus/Trigonometry involves the study of polynomial, rational, exponential, logarithmic, and trigonometric functions.  These functions are analyzed algebraically, numerically, and graphically.  The relationships between these representations are emphasized.  Applications of the functions are included.  Graphing calculators are used throughout the course.

 

 

205121 Honors Pre-Calculus/Trigonometry (Weight – 1.2) (Grades 10, 11, 12)                          1.0 credit

 

This course is the prerequisite to the study of calculus.  Topics will be presented at an accelerated pace and in greater depth than in Pre-Calculus.  The use of graphing calculators is an integral part of this course.  Teacher Approval Required.

 

 

205331 Calculus (Weight – 1.1) (Grades 11, 12)                                                                          1.0 credit

 

This course is designed for average to above average college bound students who will need to take Calculus to satisfy major requirements or the student who simply desires additional study in the area of mathematics.  The fundamental concepts of calculus will be explored.  Graphing calculators will be used extensively.  Prerequisite: Pre-Calculus

 

 

201111 Advanced Placement Calculus AB (Weight – 1.3) (Grades 11, 12)                                  1.0 credit

(This course will be scheduled to meet every other day for the full year)

 

The course consists of two main concepts: derivatives and integrals.  A study of limits and continuity leads to several definitions of the derivative.  The derivative is then used to define the integral, leading to the Fundamental Theorem of Calculus.  Functions are explored graphically, numerically, analytically, and verbally. The relationships among these representations are emphasized. Students are expected to clearly communicate procedures used and conclusions drawn, using proper vocabulary and terms. The appropriate use of a graphing calculator is essential, and the approach to the content will be rigorous. College credits may be earned by passing the Advanced Placement examination with a score of 3 or better. Students enrolling in an AP course will be required to take the AP exam

 

 

201211 Advanced Placement Calculus BC (Weight -1.3) (Grades 11, 12)                                   1.0 credit

                                                                                                                                                                

The course includes the further study of differential and integral calculus topics and also includes additional topics in polynomial approximations and series.  As in the prerequisite course of Advanced Placement Calculus AB, problems are explored graphically, numerically, analytically, and verbally, and the relationships among these various representations are emphasized.  The course also addresses an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.  Students are expected to clearly communicate procedures used and conclusions drawn, using proper vocabulary and terms.  The appropriate use of a graphing calculator is essential, and the approach to the content will be rigorous.  College credits may be earned by passing the Advanced Placement examination with a score of 3 or better.  Students enrolling in an AP course will be required to take the AP exam

 

 

206131 Academic Statistics (Weight – 1.1) (Grades 11, 12)                                                         1.0 credit

 

This course is designed for college bound students.  The successful completion of Academic Algebra II with a grade of an “A” or “B” is required as a prerequisite.  It can be taken simultaneously with any other upper-level math course beyond Academic Algebra II.  All serious students of mathematics are encouraged to elect either this course or AP Statistics.  The fundamentals of statistics will be introduced and will include the collecting, analysis and interpretation of data.  Students will be introduced to statistical inference techniques.  Graphing calculators will be used extensively.  Teacher recommendation required.

 

 

201411 Advanced Placement Statistics I (Weight – 1.3)   (Grades 11, 12)                                   1.0 credit

(This course will be scheduled to meet every other day for the full year)

                                                                                                                                                                

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. Students must have successfully completed Honors Algebra II with a grade of B+ or better prior to enrolling in AP Statistics. College credits may be earned by taking the Advanced Placement examination with a score of 3 or higher.  Teacher approval required.  Students enrolling in an AP course will be required to take the AP exam.

 

 

623141 Pre-Algebra (Weight – 1.1)                                                                                             1.0 credit

 

623745 Transitional Mathematics I (Weight – 1.1)                                                                      0.5 credit

 

623845 Transitional Mathematics II (Weight – 1.1)                                                                    0.5 credit

 

 

 

 

 

 

 

 

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