Precalculus Exams and Projects
This page provides exams for each unit of the Precalculus manual for the classroom - all exams for the manual are available as free downloads. Solutions show the thought process for a solution and not just the answer.
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OVERVIEW
My exams take several forms: quizzes, exams, and take-home exams. Quizzes and exams differ in terms of quantity of problems, time given, and point value. Take-home exams are what they seem to be - students are given the exam, take it home to complete, and bring it back the next day. I take a risk when giving such an exam - the risk being that students will talk about the problems and get help on problems they cannot do. Students are warned of the consequences of blatantly copying from someone else. However, between you and me, I am not tremendously upset if students end up talking and even arguing about problems. The fact that they are discussing math is, to me, a positive sign, and the point value of a take-home exam is not so great that it will dramatically improve the average of a student. I am fully aware of the dangers of a take-home exam but there is no way I can stop students from talking. I give these exams infrequently, mostly to gain a bit of time (an in-class exam takes up an entire day), but I also like to give students a way to raise their averages a bit.
I am one of those teachers who return exams the next day and students appreciate the quick feedback. I look at an exam as a learning experience and a way for them to gauge how well students have mastered information. Still, going over exams can take a great deal of time, time that is at a premium in a Precalculus course. To that end, I give a solution key to the students for every exam. We will still go over problems that the class in general had trouble with but students are asked to compare their exams to the solution key to understand their errors. The solution key is just that - not just a set of answers but the process used to solve each problem.
Occasionally, I will give a practice test a day or two before in similar format to the actual exam. Students use this to determine whether or not they understand the material.
Whether or not I give a practice test, the quizzes and exams are quite similar to the manual the students have. There are few tricks nor problems asking students to be clever. I want the students to be able to do the basic problems in Precalc, finding roots, graphing functions, etc. as well as the basic applications of each.
You are free to use any or all of these exams. You can come up with the answers yourself or purchase the full set of solutions.
DOWNLOADS
Unit 1
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Radian and Degree Measurement
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One exam for the entire unit
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Unit 2
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The Trigonometric Functions
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One exam for the entire unit
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Unit 3
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Right Angle Trigonometry
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Two quizzes for unit and a project
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Unit 4
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Graphs of Trigonometric Functions
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An exam and a quiz for the unit
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Unit 5
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Analytical Trigonometry
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An exam and a quiz for the unit
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Unit 6
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Solving Oblique Triangles
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Two quizzes and a take-home exam for unit
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Midterm
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Midterm covering trig section of the course
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A full review for the preceding 6 units as well as a short multiple choice practice exam (with answers) and, a 50 question multiple choice exam
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Unit 7
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Graphs and Graphing Utilities
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A practice exam (solutions included) and two exams for the unit
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Unit 8
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Polynomial and Rational Functions
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A practice exam (solutions included) and three quizzes for the unit
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Unit 9
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Exponentials and Logarithmic Functions
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2 quizzes and a project for the unit
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Unit 10
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Parametric and Polar Equations
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2 quizzes for the unit
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Unit 11
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Additional Topics in Trigonometry
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2 quizzes for the unit
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Unit 12
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Topics in Analytic Geometry
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2 quizzes for the unit
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Final
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Final exam covering the Units 6 - 10.
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A full review for units 6 - 10, a 25 question practice test (with answers) and a 60 question multiple choice exam
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We provide discounts for ordering certain products together and we provide other purchasing options. Click here for more information about these options.
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