Hyde School Course Catalog

Mathematics Department Mission Statement

The mission of the Mathematics Department at Hyde is to promote our students' growth as problem solvers and critical thinkers. We aim to foster an appreciation for mathematical subjects and mindsets as well as to challenge our students to effectively communicate their understanding of those subjects. The focus of the mathematics curriculum at Hyde is geared toward real-world applications and experienced- based understanding of course materials so that students may apply what they learn toward topics beyond the classroom. Algebra 1 Pre-Calculus

Algebra I provides a formal development of the algebraic skills and concepts necessary for students to succeed in advanced courses. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem- solving situations. The concept of function is emphasized throughout the course. Topics include: operations with real numbers, linear equations and inequalities, relations and functions, polynomials, algebraic fractions, and nonlinear equations.

This course is designed to cover topics in Algebra ranging from polynomial, rational, and exponential functions to conic sections. Trigonometry concepts such as the Law of Sines and Cosines will be introduced. This class is important for any student planning to take a college algebra or college pre-calculus class.

Calculus

This course is designed for students who have completed courses in pre-college mathematics curriculum. Students will cover topics including limits, derivatives, applications of derivatives, definite and indefinite integrals, applications of integration, and the Fundamental Theorem of Calculus.

Geometry

This course will introduce the study of points, segments, triangles, polygons, circles, solid figures, and their associated relationships as a mathematical system. Emphasis is placed on the description and use of inductive, deductive, and intuitive reasoning skills. Powers of abstract reasoning, spatial visualization, and logical reasoning patterns are improved through this course. Points, segments, polygons, circles, and solid figures are the structures studied. Algebra 1 skills are used throughout this course. Algebra 2 This course is designed to build on algebraic and geometric concepts. It develops advanced algebra skills such as systems of equations, advanced polynomials, imaginary and complex numbers, quadratics, and concepts, including the study of trigonometric functions. This course allows the student to develop a mastery of algebraic techniques and a thorough knowledge of elementary functions and the graphs of these functions.

AP Calculus (AB)

AP Calculus is roughly equivalent to a first- semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions

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