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)
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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.