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Advanced, Honors and AP Courses

TRIGONOMETRY                                             
Full Year
Grades 10, 11, 12                                                                                                              

Trigonometry is designed to prepare students for college level mathematics and provide them with a basis for trigonometric applications.  This course accommodates students who are not planning to major in mathematics, science, engineering, medicine or any other field that requires a mathematical background.  Students in this course begin with a brief review of Algebra II and progress through a study of functions and their graphs.  The course spends a significant amount of time developing the trigonometric identities and laws of trigonometric functions including circular trigonometry and its applications.  A TI-83+ or TI-84+ graphing calculator is required.

PRE-CALCULUS                                 
Full Year
Grades 10, 11, 12                         

Pre-Calculus is an essential course for college bound students who plan to major in mathematics, science, engineering, medicine or any other field that requires a mathematical background.  Students in this course begin with a review of Algebra II and progress through a study of functions and their graphs as well as techniques of equation solving.  Circular trigonometry is learned, with applications then made to the solutions of triangles.  Logarithms and complex numbers are also a part of the course.  The TI-83+ or TI-84+ graphing calculator is required.

PROBABILITY AND STATISTICS - HONORS                                  
Semester                                                                          
Grades 11, 12                                    

An understanding of basic probability and statistics is vital for nearly all careers, as well as for most standardized testing.  Probability and Statistics is a one-semester mathematics course for students planning a career in business, science, education, engineering, accounting, law, medicine, math, or communications as well as those who have an interest in mathematics.  The course will focus on calculating, understanding, interpreting, and applying descriptive and inferential statistics, probabilities, experiment design, construction of confidence intervals, and tests of hypotheses with an overall emphasis on their applications in our world.  A TI-83+ or TI-84+ graphing calculator is required.  The student may elect, for a fee, to enroll in the University of Pittsburgh College in High School Program to earn four college credits.  This course is an Honors class with a weighted grade.

ADVANCED PLACEMENT STATISTICS               
Full Year                 
Grades 11, 12                                                     

An understanding of basic probability and statistics is vital for nearly all careers, as well as for most standardized testing.  Advanced Placement Statistics is a full year mathematics course for students planning a career in business, science, education, engineering, accounting, law, medicine, math, or communications as well as those who have an interest in mathematics.  The course will focus on calculating, understanding, interpreting, and applying descriptive and inferential statistics; probabilities; experimental design, bias, simulation, implementation and evaluation; regression analysis; construction of confidence intervals; and tests of hypotheses with an overall emphasis on their applications in our world.  A TI-83+ or TI-84+ graphing calculator is required.  The students will be expected to take the AP Statistics exam.  This course is an AP class with a weighted grade.

CALCULUS-HONORS (BUSINESS)             
Full Year                                                                        
Grades 11, 12                                                                                      

Calculus-Honors (Business) includes the content presented in a college-level calculus course.  The course includes discussion on limits and continuity, differentiation, integration, applications of differentiation and integration, and an introduction to multivariable calculus with a focus on business applications.  This course is designed for students who plan to major in business or a non-science field in college and for those who desire to build a foundation in preparation for Scientific Calculus I in college.  This course is NOT designed for students who desire deep preparation for university majors in mathematics, engineering, or science, or those who plan to take the AP Calculus exam.  The students may elect, for a fee, to enroll in The University of Pittsburgh's Business Calculus I (Math 120) course and earn 4 college credits.  Three exams and a final from the University of Pittsburgh form the foundation for the curriculum and will be administered to all students regardless of college enrollment.  A TI-83+ or TI-84+ graphing calculator is required.

ADVANCED PLACEMENT CALCULUS AB                                        
Full Year                                                      
Grades 11, 12                                       

Advanced Placement Calculus AB is a full year college-level course.  It is designed for advanced high school students planning to major in mathematics, engineering, physical or biological sciences, economics, medicine or law and those who have an interest in mathematics.  The course includes the study of both differential and integral calculus concepts.  Assessment is primarily based on test and quiz scores as well as a cumulative final exam.  Students must be willing to make a substantial commitment of their time in order to be prepared for the intense daily instruction.  A TI-83+ or TI-84+ graphing calculator is required.  All students enrolling will be expected to take the AP exam.

ADVANCED PLACEMENT CALCULUS BC                                             
Full Year                                                                 
Grade 12                                                            

Advanced Placement Calculus BC is a full year college-level course.  It is designed for advanced high school students who have already completed AP Calculus AB.  The course includes a brief review of AP Calculus AB material, and discussion of Calculus II concepts.  Topics include limits, continuity, advanced differentiation, advanced integration, applications of differentiation and integration, vector functions and their applications, L'Hopital's Rule, polynomial approximations, sequences and series.  Students must be willing to make a substantial commitment of their time in order to be prepared for the intense daily instruction.  A T1-83+, TI-84+ or T1-89 graphing calculator is required.  All students enrolling will be expected to take the AP exam.

ADVANCED PROBLEM SOLVING                                     
Semester
Grades 11, 12                                                        

Students will learn the vital skills and techniques of reasoning and problem solving.  These skills and techniques can be applied in other math courses and other disciplines.  Students are encouraged to solve and explain problems using a technique of their choice.  The assessment of this course is predominantly from work on sets of five problems written and submitted weekly and from individual problems solved and explained to the class.  A final exam will be given that has an individual in-class component in addition to a take-home component.  Students are encouraged to work together to solve all problems other than the in-class portion of the final exam.  Students learn to intuitively apply problem solving strategies to real-world situations using the problem solving techniques of their choice and working together in a relaxed atmosphere.

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