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Neglecting the Curvature of the Earth

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This task applies geometric concepts, namely properties of tangents to circles and of right triangles, in a modeling situation. The key geometric point in this task is to recognize that the line of sight from the mountain top towards the horizon is tangent to the earth. We can then use a right triangle where one leg is tangent to a circle and the other leg is the radius of the circle to investigate this situation.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Fundamentals of Waves

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This lesson is broken up into three different parts.Part 1/Resource 1In this lesson students will learn the basics of waves and how to graph them.  They will learn how to find the period, amplitude, and frequency of a wave. Part 2/Resource 2In this lesson students learn the connection between waves and music. Part 3/ Resource 3Students will learn the concept of superposition. CC-BY Kaleb Alles, Mountain Heights Academy 

Material Type: Lesson Plan

Author: Crystal Van Ausdal

Trigonometry Lecture Videos (Open Campus Math 112)

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These Trigonometry lecture videos coterminal angles, trig functions, quadrantal angles, special acute angles, co-functions, finding theta, reference angles, trig functions, radian measure, arc length, area of a sector, graphing sine and cosine using t-table, amplitude and frequency, phase shift for sine and consine, vertical shift, tangent curve, cotangent transformations, evaluating trig identities, trig expressions, sum and difference for cosine, double and half angle identities, inverse, principal values, solving difficult trig equations, law of cosines, area of a triangle, and vectors and bearing.

Material Type: Lecture

Author: Stacey Black

OpenStax Algebra & Trigonometry Recorded Lectures and Notes for College Algebra

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This resource is a collection of full hour-long lectures and accompanying notes covering most of chapters 3-6 of the OpenStax Algebra and Trigonometry book. The notes are provided in both .DOCX and .PDF format to accommodate downloading ease. Students should be encouraged to print notes and fill them out as they watch through the lectures.

Material Type: Full Course, Lecture, Lecture Notes

Author: Libby Gore

Trigonometry

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This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section. Each section also contains several progress checks that are short exercises or activities designed to help readers determine if they are understanding the material. In addition, the text contains links to several interactive Geogebra applets or worksheets. These applets are usually part of a beginning activity or a progress check and are intended to be used as part of the textbook. The authors are very interested in constructive criticism of the textbook from the users of the book, especially students, who are using or have used the book. Please send any comments you have to trigtext@gmail.com.

Material Type: Textbook

Authors: Steven Schlicker, Ted Sundstrom