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Important Guidelines for the Accelerated Integrated Precalculus Performance Exam

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The Performance Exam in Accelerated Integrated Precalculus is scheduled for Tuesday, April 22nd, contributing 5% to your overall grade. You will have one class period to complete the exam, consisting of 4 questions from which you must answer 2. Review all topics to maximize your choices and preparations for the final exam. Use your calculator effectively, and ensure you complete your work on the provided paper. Grading comprises mathematical content, reasoning, and communication, each weighing one-third of your score.

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Important Guidelines for the Accelerated Integrated Precalculus Performance Exam

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  1. Performance Exam Accelerated Integrated Precalculus Tuesday, April 22nd 5% of overall grade

  2. 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).

  3. 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?

  4. Exponential & Logarithmic Functions (Sections 3.1 – 3.3) • Evaluating by hand or by calculator • Graphing • Properties (domain, range, asymptotes, intercepts, etc.) • Transformations

  5. 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?

  6. 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

  7. Polar Coordinates and Graphs (Sections 9.6 – 9.7) • Plot points by hand. • Find additional representations of points. • Convert rectangular-to-polar and polar-to-rectangular (points or equations). • Graph; know what theta values are needed to complete a graph one time.

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