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Performance Exam Accelerated Integrated Precalculus Tuesday, April 22nd 5% of overall grade AIP Performance Exam • You will have one class period to complete the exam. (The only exceptions are students with documentation allowing extended time.) • You will be given 4 questions, and you must answer 2 of them. Review all 4 topics; it will increase your choices and help you prepare for the other final exam. • You may use a calculator; I will provide laminated formula sheets. • Be careful of calculator mode. • Please do all work on the paper given. • Exams will likely take about two weeks to grade and will not be returned to students (part of final exam). Grading • 1/3 of grade is MATHEMATICAL CONTENT • Are the concepts, principles, terms, and symbols used correctly and/or developed fully throughout the response? • Are the computations complete and correct? • Is your solution complete and correct? • 1/3 of grade is REASONING • Did you correctly identify and solve the problem? • Did you employ efficient strategies and refined reasoning? • Did you use appropriate graphics and procedures? • 1/3 of grade is COMMUNICATION • Did you address all parts of the task effectively? • Are your graphs clear and accurate and used appropriately? • Are your reasoning and solutions logical, clear, complete, and explained fully? • Is your mathematical terminology and notation correct and appropriate? Exponential & Logarithmic Functions (Sections 3.1 – 3.3) • Evaluating by hand or by calculator • Graphing • Properties (domain, range, asymptotes, intercepts, etc.) • Transformations Law of Sines & Law of Cosines; areas of oblique triangles (Sections 6.1 – 6.2) • Can you solve a triangle given various information (including ambiguous cases) • Can you find the area of any triangle? Vectors & Trig form of Complex Numbers (Sections 6.3 – 6.5, 10.2) • • • • • • • • • • Be sure to handle both 2-D and 3-D cases Magnitude/absolute value Component form Scalar multiples, adding/subtracting Direction Angle Angle between vectors Unit vector in same direction of given vector Dot product When are vectors orthogonal, parallel, neither? Covert a complex number into trigonometric form Polar Coordinates and Graphs (Sections 9.6 – 9.7) • Plot points by hand. • Find additional representations of points. • Convert rectangular-to-polar and polar-torectangular (points or equations). • Graph; know what theta values are needed to complete a graph one time.