Precalculus Manual
This page provides the Precalculus manual for the classroom – all chapters of the manual are provide as free downloads. This section represents a complete high school course for Precalculus.
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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Cover
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Student Manual Cover Pages
(PreCalc Manual Cover.pdf)
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These pages should be included at the beginning of the Student Manual.
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Unit 1
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Radian and Degree Measurement
(PreCalc Unit 1.pdf)
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8 pages – Topics: radians, degrees, revolutions, arc length, variable conversion, angular velocity, linear velocity
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Unit 2
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The Trigonometric Functions
(PreCalc Unit 2.pdf)
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10 pages – Topics: Basic trig functions, quadrant angles, special angles, domain and range, co-terminal angles, reference angles
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Unit 3
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Right Angle Trigonometry
(PreCalc Unit 3.pdf)
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14 pages – Topics: unit circle, calculator use, errors, solving right triangles, multi-step problems, real-life applications, surveying, angles of elevation and depression, bearing, heading
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Unit 4
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Graphs of Trigonometric Functions
(PreCalc Unit 4.pdf)
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15 pages – Topics: sinusoids, amplitude, period, translations, phase shift, vertical shift, critical points, determining an equation from a graph, trig models, harmonic motion, graph of other trig functions
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Unit 5
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Analytical Trigonometry
(PreCalc Unit 5.pdf)
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12 pages – Topics: fundamental trig identities, solving trig identities, sum and difference formulas, double angle formulas, half angle formulas, solving trig equations
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Unit 6
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Solving Oblique Triangles
(PreCalc Unit 6.pdf)
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18 pages – Topics: oblique triangles, law of sines, law of cosines, Heron’s formula, applications of oblique triangles
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Unit 7
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Graphs and Graphing Utilities
(PreCalc Unit 7.pdf)
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28 pages – Topics: graphing equations, symmetry, lines in the plane, functions, mappings, domain and range, piecewise functions, translation of graphs, composition of functions, inverse functions
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Unit 8
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Polynomial and Rational Functions
(PreCalc Unit 8.pdf)
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41pages – Topics: quadratic functions, standard form, general form, roots of polynomial equations, linear functions, quadratic equation, cubic functions, factor theorem, roots of polynomials, synthetic division, rational zero test, imaginary roots, rational functions, vertical asymptotes, oblique asymptotes, partial fraction decomposition
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Unit 9
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Exponentials and Logarithmic Functions
(PreCalc Unit 9.pdf)
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22 pages – Topics: exponential equations, common logarithms, natural logarithms, e, logarithm rules, logarithmic equations, exponential growth and decay, compound interest, continuous compounding, exponential curve fitting, using the calculator for financial operations
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Unit 10
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Parametric and Polar Equations
(PreCalc Unit 10.pdf)
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19 pages – Topics: plane curves, parametric curve sketching, conversion of parametric form to rectangular form, projectile motion, polar coordinates, graphs of polar equations, classifying polar graphs.
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Unit 11
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Additional Topics in Trigonometry
(PreCalc Unit 11.pdf)
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18 pages – Topics: vectors and scalars, vector operations, unit vectors, linear combination form of vectors, force problems, dot product, angle between vectors, complex numbers, trig form of a complex number, multiplication and division of complex numbers, powers and roots of complex numbers, Demoive’s Theorem
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Unit 12
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Topics in Analytic Geometry
(PreCalc Unit 12.pdf)
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18 pages – Topics: inclination of a line, angle between lines, distance between a point and a line, conic sections, circles, parabolas, ellipses, hyperbolas, degenerate conics, determining a conic from its general equations
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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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