MISS HALL’S SCHOOL

Course Catalog 2017-2018

492 HOLMES ROAD • PITTSFIELD, MA 01202-1166 • PHONE 413.443.6401 • FAX 413.448.2994 • www.misshalls.org

Advanced Algebra II

Differential Calculus

Developing the concepts introduced in Algebra I, Algebra II emphasizes techniques for solving a much wider variety of equations, inequalities, and systems. Many types of functions are studied, including quadratic, higher order polynomial, rational, radical, absolute value, exponential, logarithmic, and periodic. A central theme is the relationship between numerical, algebraic, and the graphical representations of functions; the graphing calculator is used extensively in exploring this interplay. Grade Levels: 9-11 (1 credit; full year)

This year-long course has two goals and is designed for those students who have finished precalculus but are not ready to move on to AP Calculus AB. The first goal is a thorough review of the more advanced topics associated with the student’s work in precalculus. Once this has been completed, the course will move into a detailed study of limits, continuity, and derivatives. While working toward these two goals throughout the year, students should expect to reach mastery commensurate with any differential calculus course, and students will be prepared to move into the study of integral calculus in subsequent courses. Grade Level: 10-12 (1 credit; full year)

Algebra II Honors Developing the concepts introduced in Algebra I, Algebra II emphasizes techniques for solving a much wider variety of equations, inequalities, and systems. Many types of functions are studied, including quadratic, higher order polynomial, rational, radical, absolute value, exponential, and logarithmic. A central theme is the relationship between the algebraic and the graphical representations of functions; the graphing calculator is used extensively in exploring this interplay. The Honors section encourages more creative, critical, and in-depth study of these topics. Placement in Algebra II Honors requires the support of the Department. Grade Level: 9-11 (1 credit; full year)

AP Calculus AB This year-long course covers, at a minimum, the topics outlined by The College Board as necessary for students planning to take the AB Calculus exam in May. The ideas of limits, continuity, derivatives, and integrals are explored at a depth of understanding consistent with college-level study. Broad concepts and widely applicable methods are emphasized rather than memorization of particular problem types. The graphing calculator is used as an aid in understanding, estimating, and confirming results. Placement in AB Calculus requires successful completion of Honors Precalculus and permission from the Department. Grade Level: 10-12 (1 credit; full year)

Precalculus Precalculus continues to develop the set of skills needed for success in calculus. Students become fluent in the language of functions, and many applications of functions are explored. A large component of the course focuses on trigonometry and the interconnections of the unit circle and right triangle viewpoints. Completion of Algebra II and permission from the Mathematics Department are prerequisites for enrollment. Grade Level: 9-12 (1 credit; full year)

AP Calculus BC This year-long course seeks to build on the foundation developed in AB Calculus. Because all students enrolled in BC Calculus have completed AB Calculus, the topics covered in this course will, at a minimum, cover those topics presented in the BC course outline, but work will be extended to include the study of delta-epsilon proofs, advanced techniques of integration, extended work with polar functions and vector functions, and a detailed study of sequences and series. As time and interest permit, additional topics will be incorporated as the course develops each year. Prerequisite: AP Calculus AB Grade Level: 11-12 (1 credit; full year)

Precalculus Honors Precalculus continues to develop the set of skills needed for success in calculus. Students become fluent in the language of functions, and many applications of functions are explored. A large component of the course focuses on trigonometry and the interconnections of the unit circle and right triangle viewpoints. The Honors section encourages more creative, critical, and in-depth study of these topics. Completion of Algebra II and permission from the Mathematics Department are prerequisites for enrollment. Grade Level: 9-12 (1 credit; full year)

AP Statistics Advanced Placement Statistics is an elective, year-long course for students who have completed Algebra II and who wish to continue the study of mathematics with a rigorous alternative to Precalculus or AP Calculus. Students study descriptive statistics, experimental design, probability, and inferential statistics. This course is very contextual in nature and also quite rigorous mathematically. The TI-Nspire CX CAS calculator is used extensively. Departmental permission is required and, for ESL students, successful completion of our ESL requirements is necessary. Grade Level: 11-12 (1 credit; full year) Page 7

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