Upper School 2017-2018 Course Catalogue

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Mathematics Note: A student must secure approval from the Chair of the Mathematics department to take two math courses in the same year. Math course placement is made by a student’s current math teacher before course selection. Only those courses with sufficient enrollment are scheduled. Integrated Math II / III (one year, 3 days, 3 credits, Integrated Math II) This is a continuation of a four-year program that spirals concepts from Algebra I, Geometry, and Algebra II while continuing the development of problem solving strategies. This course extends the Geometry concepts taught in previous courses with a focus on similar and congruent triangles and methods of proof. There is an emphasis on functions including polynomial, radical, rational, and piecewise functions. Other topics studied include linear programming and concepts from probability and statistics. Students will complete Integrated Math III the following school year. Integrated Math IIIB (one year, 3 days, 3 credits, Integrated Math II/III) This is the final year of a four-year program that spirals Algebra I, Geometry, and Algebra II while continuing the development of problem solving strategies. This course is a continuation of the Integrated Math II/III course and is designed to reinforce previously learned concepts while continuing the development of algebraic thinking. New topics include the geometry of circles, exponential and logarithmic functions, sequences and series, the transformation of graphs, and concepts from probability and statistics. Integrated Math III (one year, 3 days, 3 credits, Integrated Math II) This is the final year of a program that spirals concepts from Algebra I, Geometry, and Algebra II over a three year period while continuing the development of problem solving strategies. This course places an emphasis on functions including radical, piecewise, rational, exponential, logarithmic, and inverse functions. This course extends the geometry concepts taught in previous courses with a focus on the geometry of circles and methods of proof. Topics from probability and statistics include standard deviation, the normal distribution, regression, conditional probability, and expected value. Other topics studied include sequences and series, linear programming, and transforming graphs. Integrated Math III Enriched (one year, 3 days, 3 credits, Integrated Math II and permission of the Chair of the Mathematics Department based on teacher recommendation) This is the final year of an enriched program that spirals Algebra I, Geometry, and Algebra II over a three year period while continuing the development of problem solving strategies. This course includes all the concepts taught in Integrated Mathematics III with additional enrichment problems that require careful analysis while emphasizing abstract thinking and originality.

Mathematics Electives Functions and Trigonometry (one year, 3 days, 3 credits, Integrated Math III) Furthering topics from Integrated Math, this course reinforces algebraic thinking and improves problem-solving techniques and critical thinking skills. Topics include the fundamentals and real life applications of various elementary functions (including polynomial, rational, exponential, and logarithmic) and trigonometry. Precalculus (one year, 3 days, 3 credits, Integrated Math III) Precalculus connects the concepts from the different branches of mathematics (arithmetic, algebra, geometry, trigonometry, discrete mathematics, etc.) to calculus. This course is designed to help students develop their proficiency in algebra, to strengthen their understanding of the underlying mathematical concepts, and to extend and bridge their conceptual knowledge. Course topics include various elementary functions, conics, parametric equations, transcendental functions, and an extensive study of trigonometry. Precalculus Enriched (one year, 3 days, 3 credits, Integrated Math III Enriched and permission of the Chair of the Mathematics Department based on teacher recommendation) This course includes all the concepts taught in Precalculus with additional enrichment problems that require careful analysis while emphasizing abstract thinking and originality. Additional topics include the study of limits, continuity, and the derivative. Calculus (one year, 3 days, 3 credits, Precalculus) Students who take Calculus will learn fundamental calculus topics including limits, derivatives and integrals. This course is designed to help students thoughtfully apply their pre-calculus knowledge of functions and graphing and will lead students to a robust understanding of how to evaluate our world via the lens of calculus

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Upper School 2017-2018 Course Catalogue by The Hockaday School - Issuu