Precalculus Manual - Revised
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. YouTube videos are also free and they cover the classwork section of the manual.
Note: If you want the new AP Precalculus course, use this link:
Sometimes teachers want students to have the ability to check their homework aswers before coming to class. The above option gives answers only (no work shown). Teachers can make this available to students and perhaps save time in class the next day as students will only ask questions on problems in which they know they got incorrect.
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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Topic (Click to download) |
Description |
Free Youtube Videos |
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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 Revised 9/21
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10 pages - Topics: radians, degrees, revolutions, arc length, variable conversion, angular velocity, linear velocity
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Video 01 Angle Measurement
https://youtu.be/I33mVqlFUFI
58.12 minutes
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Unit 2 - revised 9/21
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13 pages - Topics: Basic trig functions, quadrant angles, special angles, domain and range, co-terminal angles, reference angles |
Video 02 - Trig Functions
https://youtu.be/EmGuWJSAJ9M
1 hour, 16 minutes
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Unit 3 - revised 10/21
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16 pages - Topics: unit circle, calculator use, errors, solving right triangles, multi-step problems, real-life applications, surveying, angles of elevation and depression, bearing, heading, triangulation |
Video 03a - Solving Right Triangles
https://youtu.be/wdGxqC95QgY
1 hour, 3 min
Video 03b - Trig Applications
https://youtu.be/zdj8H3o2dok
52.05 min
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Unit 4 - revised 10/21
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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 |
Video 04a - Graphs of Trig Functions
https://youtu.be/yqj9UGQkpuc
1 hour, 5.19 minutes
Video 04b - Graphs of Trig Functions (cont'd)
https://youtu.be/RHqBXGTVnu8
48.19 min
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Unit 5 - revised 11/21
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15 pages - Topics: fundamental trig identities, solving trig identities, sum and difference formulas, double angle formulas, reduction formullas, half angle formulas, solving trig equations |
Video 05a - Trig Identities
https://youtu.be/6OFA9ZrJN8o
33.38 min
Video 05b - Other Identities (cont'd)
https://youtu.be/ZKRjJa_KEwA
1 hour, 7 min
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Unit 6
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19 pages - Topics: oblique triangles, law of sines, law of cosines, Heron's formula, applications of oblique triangles |
Video 06a - Law of Sines
https://youtu.be/Ut_aZQcjwAk
52.11 minutes
Video 06b - Law of Cosines
https://youtu.be/8KrK1ntfcFY
1 hour, 2.26 minutes
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Unit 7
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31 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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41 pages - 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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32 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
(Unit10.pdf) - 5 mb
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20 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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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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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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