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Upper School Mathematics
| This course is designed to be a bridge between Algebra II and Pre-Calculus. The students will review thoroughly Algebra II topics and then be introduced to basic Pre-Calculus.
Students must have completed the required sequence of Algebra I, Geometry, and Algebra II. Students who wish to reinforce their understanding of functions and their graphs before beginning the study of Pre-calculus are encouraged to take this course.
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| Algebra I focuses on various aspects of the mathematical equation. A student completing Algebra I will have an understanding of the basic properties of real numbers as well as techniques for graphing and solving first and some second degree equations.The pre-requisite for Algebra I is the successful completion of Pre-Algebra. Placement in the Honors sections requires the permission of the department.
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| This course is designed to prepare students for Pre-Calculus by expanding upon topics covered in Algebra I and Geometry and by introducing new topics to include matrices, exponential and logarithmic functions, sequences and series, and polynomial functions. Traditional approaches will be combined with the use of technology to strengthen skills and understanding necessary for problem solving.To enroll in Algebra II, students should have completed both Algebra I and Geometry. Placement in the Honors sections is based on classroom performance and standardized test scores.
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| In Calculus, a student is expected to learn the basic concepts of differential and integral calculus and to be able to extend these ideas using analytical techniques to solve real-world problems. In the AP classes, a student is expected to learn how to communicate ideas in written, graphical, and oral formats, and to make connections between theoretical concepts and practical applications. At all levels, the students will develop an understanding of mathematical experimentation and approximation through the use of graphing calculators. The pre-requisite for all levels of calculus is the successful completion of Pre-calculus. For placement into an AP class, a student must have shown a high level of proficiency in mathematics as measured in the classroom and on standardized tests such as the PSAT and the SAT. The student is also expected to be familiar with the graphing calculator. |

| In Calculus, a student is expected to learn the basic concepts of differential and integral calculus and to be able to extend these ideas using analytical techniques to solve real-world problems. In the AP classes, a student is expected to learn how to communicate ideas in written, graphical, and oral formats, and to make connections between theoretical concepts and practical applications. At all levels, the students will develop an understanding of mathematical experimentation and approximation through the use of graphing calculators. The pre-requisite for all levels of calculus is the successful completion of Pre-calculus. For placement into an AP class, a student must have shown a high level of proficiency in mathematics as measured in the classroom and on standardized tests such as the PSAT and the SAT. The student is also expected to be familiar with the graphing calculator. |

| In Calculus, a student is expected to learn the basic concepts of differential and integral calculus and to be able to extend these ideas using analytical techniques to solve real-world problems. In the AP classes, a student is expected to learn how to communicate ideas in written, graphical, and oral formats, and to make connections between theoretical concepts and practical applications. At all levels, the students will develop an understanding of mathematical experimentation and approximation through the use of graphing calculators. The pre-requisite for all levels of calculus is the successful completion of Pre-calculus. For placement into an AP class, a student must have shown a high level of proficiency in mathematics as measured in the classroom and on standardized tests such as the PSAT and the SAT. The student is also expected to be familiar with the graphing calculator. |

The objectives of this course center on introducing students to deductive and logical reasoning so that they will be able to write clear and logical proofs in both tabular and paragraph form. The study of area and volume of plane and three-dimensional figures is also included. Computer based programs are used to enhance the self-discovery of geometric principles. The pre-requisite for Geometry is the successful completion of Algebra I. Placement in the Honors section requires the recommendation of the math faculty. |

| This course is designed to prepare students for Pre-Calculus by expanding upon topics covered in Algebra I and Geometry and by introducing new topics to include matrices, exponential and logarithmic functions, sequences and series, and polynomial functions. Traditional approaches will be combined with the use of technology to strengthen skills and understanding necessary for problem solving. To enroll in Algebra II, students should have completed both Algebra I and Geometry. Placement in the Honors sections is based on classroom performance and standardized test scores. |

The objectives of this course center on introducing students to deductive and logical reasoning so that they will be able to write clear and logical proofs in both tabular and paragraph form. The study of area and volume of plane and three-dimensional figures is also included. Computer based programs are used to enhance the self-discovery of geometric principles. The pre-requisite for Geometry is the successful completion of Algebra I. Placement in the Honors section requires the recommendation of the math faculty. |

| This course prepares students for Calculus by continuing with and expanding upon topics covered in Algebra II and by introducing new topics to include trigonometry, conic sections, permutations and combinations, the binomial theorem, and probability. Traditional approaches will be combined with the use of technology to strengthen skills and understanding necessary for problem solving. To enroll in PreCalculus, students must have completed Algebra I, Geometry, and Algebra II. Placement in Honors sections is based on classroom performance and on standardized test scores such as the PSAT and the PLAN. |

| This semester course, designed to introduce students to the basic applications of calculus, is an excellent choice for fine arts or business students. Students will learn the techniques of calculus; very little theory will be introduced. Heavy emphasis will be placed upon interpreting, setting up, and solving word problems. Students who have completed Pre-Calculus are eligible to take this course. |

| This course prepares students for Calculus by continuing with and expanding upon topics covered in Algebra II and by introducing new topics to include trigonometry, conic sections, permutations and combinations, the binomial theorem, and probability. Traditional approaches will be combined with the use of technology to strengthen skills and understanding necessary for problem solving. To enroll in PreCalculus, students must have completed Algebra I, Geometry, and Algebra II. Placement in Honors sections is based on classroom performance and on standardized test scores such as the PSAT and the PLAN.
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| This semester course is designed to introduce students to the basic uses of statistics in a variety of ways. Students should learn to differentiate between statistical models and be able to design a simple statistics project. Students who have completed Pre-calculus are eligible to take this course.
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