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Interactive
Mangahigh

Mangahigh: Pyramid Panic: Basic Shapes to Advanced Geometry

For Students 9th - 10th Standards
Guide a mummy safely through the burial chambers of a pyramid as you solve length and area problems in basic to advanced geometry. There are four game zones that deal with circles and triangles, quadrilaterals, the Pythagorean Theorem,...
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Activity
Windstream

Ojk's Precalculus Study Page: Double and Half Angle Formulas

For Students 9th - 10th Standards
This tutorial introduces the double-angle and half-angle formulas for sine, cosine, and tangent, and gives sample application and proof exercises. Assumes knowledge of the sum and difference formulas.
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Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Often Used Values

For Students 9th - 10th
Northeast Parallel Architectures Center of Syracuse University provides a quick reference chart of the exact values of the sine, cosine, and tangent functions for the most common angle measrements in the first quadrant. Includes both...
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Instructional Video
Sophia Learning

Sophia: Trigonometric Derivatives: Lesson 2

For Students 9th - 10th
This lesson states the rules for finding the derivative of sine, cosine, and tangent, and provides a few examples. It is 2 of 4 in the series titled "Trigonometric Derivatives."
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Sum and Difference Formulas

For Students 9th - 10th Standards
Twenty problems are presented for practice working with sum and difference formulas for sine, cosine, and tangent.
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Instructional Video
Khan Academy

Khan Academy: Basic Trigonometric Ratios: Basic Trigonometry Ii

For Students 9th - 10th Standards
A few more examples using SOH CAH TOA. Examples of finding sine, cosine and tangent for two different right triangles, including finding side lengths by the Pythagorean Theorem and rationalizing the denominator.
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Instructional Video
Khan Academy

Khan Academy: Intro to the Trigonometric Ratios

For Students 9th - 10th Standards
Sal introduces sine, cosine, and tangent, and gives an example of finding them for a given right triangle.
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Unit Plan
Khan Academy

Khan Academy: Challenge Problems: Circumscribing Shapes

For Students 9th - 10th Standards
Solve two challenging problems that apply properties of tangents to find the perimeter of a circumscribing shape.
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Handout
Oswego City School District

Regents Exam Prep Center: Formulas for Angles in Circles

For Students 9th - 10th Standards
Formulas and illustrations show the different kinds of angles created by intersecting tangents, secants, radii, and in combination.
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Activity
Interactive Mathematics

Interactive Mathematics: Trigonometric Functions

For Students 9th - 10th
Just about everything you need to know about trigonometry can be found here. Interactive examples and demonstrations help to enhance the lessons. Although not required, the tutorial uses Live Math and Scientific Notebook.
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Instructional Video
Khan Academy

Khan Academy: Trigonometry: Using Trig Functions Part Ii

For Students 9th - 10th
Continuation of video lesson using the basic trigonometric functions to determine unknown side lengths of a right triangle. Example shows using trigonometry as well as the Pythagorean Theorem to find the length of the third side of the...
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Instructional Video
Khan Academy

Khan Academy: Trigonometry: Using Trig Functions

For Students 9th - 10th
Video using the basic trigonometric functions to find the length of a side in a right triangle. Examples are given with angle measures in radians. Includes link to additional practice problems. [10:03]
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Conic Sections

For Students 9th - 10th Standards
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
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Instructional Video
PBS

Pbs Learning Media: Zombies and Calculus, Part 2

For Students 9th - 10th
Learn about tangent vectors in this video (5:54) from NOVA Digital. In this hypothetical world, zombies always move straight toward humans. This means that the tangent vector of a zombie's path points at the intended target. However,...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Ask the Pilot

For Teachers 9th - 10th Standards
In the July 2013 issue of United Airlines' Hemisphere Magazine, a pilot responded to a question about how far in the distance he could see at different altitudes. The solution involved right triangles, lines of tangency to a circle, and...
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Handout
Geometry Help

Geometry Help: Chords

For Students 9th - 10th Standards
Explains the basic concept of chords with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
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Handout
Other

Dans Math: Lessons: Trigonometry

For Students 9th - 10th
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Sum and Difference Angle Formulas

For Teachers 9th - 10th Standards
The goal of this task is to have students derive the addition and subtraction formulas for cosine and tangent, and the subtraction formula for cosine, from the sum formula for sine. Aligns with F-TF.C.9.
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Interactive
Curated OER

Trig Function Point Definitions

For Students 9th - 10th Standards
A java applet that relates the unit circle to the graphs of the six trigonometric functions, complete with the values of the functions.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Circunferencia

For Students 9th - 10th
In Spanish. This interactive unit could be used as a visual review of circles, circumference and tangents.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Tangencias

For Students 9th - 10th Standards
In Spanish. This interactive unit introduces various geometric concepts which are intended to be tools for solving problems of tangencies between straight lines, circles and points.
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Instructional Video
Sophia Learning

Sophia: Trigonometric Derivatives: Lesson 3

For Students 9th - 10th
This lesson states the rules for finding the derivative of sine, cosine, and tangent, and provides a few examples. It is 3 of 4 in the series titled "Trigonometric Derivatives."
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Instructional Video
Sophia Learning

Sophia: Trigonometric Derivatives: Lesson 1

For Students 9th - 10th
This lesson states the rules for finding the derivative of sine, cosine, and tangent, and provides a few examples. It is 1 of 4 in the series titled "Trigonometric Derivatives."
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Activity
Free Math Help

Free Math Help: Trigonometry Addition Formulas

For Students 9th - 10th Standards
Students learn about the trigonometric addition formulas. Sine, cosine, and tangent formulas are included.

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