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Students, as mathematic analysts, investigate how advanced mathematics concepts are used to solve problems encountered in operating national parks. As students venture from algebra to trigonometry, they analyze and articulate the real-world application of these concepts. The purpose of this course is to study functions and develop skills necessary for the study of calculus. This course includes algebra, analytical geometry, and trigonometry.
Cost: Students purchase 28 days of access for $95. Students may work as quickly through the content as they wish. Every 28 days, students may purchase an additional 28 days of access for an additional $95.
Students will demonstrate an understanding of functions by analyzing key features of their graphs, solving and graphing problems modeled by polynomial, rational, radical, exponential, logarithmic, and piecewise functions, and creating constraints of functions.
Students will demonstrate an understanding of applications of functions by solving systems of equations, solving mathematical problems involving combined and composite functions, graphing inverse functions, and solving the numerical value of a difference quotient.
Students will demonstrate an understanding of conic sections by creating equations of conics, graphing the equations of conics, analyzing key features, and solving real-world problems modeled with conics.
Students will demonstrate an understanding of sequences and series by solving problems involving arithmetic and geometric sequences and series in mathematical and real-world contexts.
Students will demonstrate an understanding of trigonometry by evaluating trigonometric functions and their angles, solving mathematical problems using the Laws of Sines and Cosines, explaining the Unit Circle, and graphing trigonometric functions.
Students will demonstrate an understanding of trigonometric identities and formulas by solving problems using the Pythagorean Trigonometric Identities, proving angle formulas, and solving trigonometric equations.
Students will demonstrate an understanding of vectors by composing vectors in component, linear, and trigonometric form, solving problems involving vectors, and evaluating vector scalars and magnitude.
Students will demonstrate an understanding of the coordinate plane by graphing equations in the polar coordinate plane, solving problems involving complex numbers represented on the coordinate plane, and graphing parametric equations.