Unit Plan
Interactive Mathematics

Interactive Mathematics: Graphs of Sine and Cosine Functions

For Students 9th - 10th
An interactive graph provides a demonstration to show how the measure of an angle is related to the sine and cosine waves. Topics covered include amplitude and period. Examples allow students to practice the concepts.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Amplitude of Sinusoidal Functions From Graph

For Students 9th - 10th Standards
Given the graph of a sinusoidal function, determine its amplitude. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Trigonometric Graphing

For Students 9th - 10th Standards
Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Amplitude, Period, and Frequency

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Combine calculations for amplitude and period on a sine or cosine graph.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model

For Students 9th - 10th Standards
This section explores the relationship between right triangles, circles, and trigonometry. It investigates how a right triangle that is set inside a circle and rotates around the circle is connected to trigonometric functions and their...
Activity
Math Medics

S.o.s. Math: Trigonometric Functions

For Students 9th - 10th Standards
Introductory lesson to trigonometric functions. Includes definitions, properties, graphs, and a wide variety of examples and practice exercises.
Unit Plan
Khan Academy

Khan Academy: Graph Sinusoidal Functions

For Students 9th - 10th Standards
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
University of Vienna (Austria)

Maths Online: Recognize Functions 3

For Students 9th - 10th Standards
An excellent place to test your ability to recognize the graphs of sine and cosine and their various associated forms. A Java applet is also included to plot your own function.
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.
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.
Website
Oswego City School District

Regents Exam Prep Center: Graphs of the Inverse Trig Functions

For Students 9th - 10th Standards
This site reviews basic information on inverse functions and inverse notation. Graphs of inverse trig functions are shared and discussed.
Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Trig Functions and the Unit Circle

For Teachers 9th - 10th Standards
The purpose of this task is to help learners make the connection between the graphs of sin t and cos t and the x and y coordinates of points moving around the unit circle. Students have to match coordinates of points on the graph with...
Unit Plan
Cuemath

Cuemath: Tangent Function

For Students 9th - 10th Standards
A comprehensive guide for learning all about tangent functions with definitions, tangent formula, tangent meaning, range and domain of the tangent function, tan function graph, trigonometric ratios, trig identities, solved examples, and...
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Trig Tour

For Students 9th - 10th Standards
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
Graphic
Math Medics

S.o.s. Math: Hyperbolic Functions

For Students 9th - 10th Standards
This math lesson gives formulas for the hyperbolic trigonometric functions, a very most important property of their version of the Pythagorean Theorem, and it's verification, and many helpful visual aides.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Cosine and Secant Graphs

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Define the cosine and secant graphs using a unit circle.
Activity
Math Is Fun

Math Is Fun: Graphs of Sine, Cosine and Tangent

For Students 9th - 10th Standards
Students learn about the graphs of the sine, cosines, and tangent functions. The tutorial consists of notes and examples.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf, F if as the Wheel Turns

For Teachers 9th - 10th Standards
In this task, learners use trigonometric functions to model the movement of a point around a wheel and through space. Students also interpret features of graphs in terms of the given real-world context. Aligns with F-TF.B.5 and F-IF.B.4.
Unit Plan
Khan Academy

Khan Academy: Period of Sinusoidal Functions From Graph

For Students 9th - 10th Standards
Given the graph of a sinusoidal function, determine its period. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive
Interactive Mathematics

Interactive Mathematics: Graphs of Tangent, Cotangent, Secant, and Cosecant

For Students 9th - 10th Standards
The tutorial explores the graphs of the tangent, cotangent, secant, and cosecant functions. The resource consists of animations and examples.
Unknown Type
Khan Academy

Khan Academy: Amplitude of Sinusoidal Functions From Graph

For Students 10th
Given the graph of a sinusoidal function, determine its amplitude.
Activity
Math2

Math2: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions

For Teachers 9th - 10th Standards
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...