Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F tf.a, F bf.b.3 Exploring Sinusoidal Functions

For Teachers 9th - 10th Standards
In this task, students explore the effect that changing the parameters in a sinusoidal function has on the graph of the function. Aligns with F-TF.A and F-BF.B.3.
Handout
Math Open Reference

Math Open Reference: Trigonometry Functions Introduction

For Students 9th - 10th Standards
A complete reference guide to trigonometry functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trig Function Graphs

For Students 9th - 10th Standards
Northeast Parallel Architectures Center provides a quick overview of the graphs of the six trigonometric functions, with angles measured in radians.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trigonometric Functions

For Students 9th - 10th Standards
This Northeast Parallel Architectures Center of Syracuse University site offers a quick overview of the six trigonometric functions from the standpoint of the unit circle.
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.
Unit Plan
Khan Academy

Khan Academy: Midline of Sinusoidal Functions From Graph

For Students 9th - 10th
Given the graph of a sinusoidal function, determine its midline equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
Khan Academy

Khan Academy: Midline of Sinusoidal Functions From Equation

For Students 9th - 10th
Given the formula of a sinusoidal function, determine its midline equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
Website
Other

Socrative: End Behavior

For Students 9th - 10th
On this site students can pose questions to get answers to problems they are having with their math homework. On this particular section, the topic of the end behavior of a sine function is discussed.
Activity
Windstream

Ojk's Precalculus Study Page: Evaluating and Graphing Sine and Cosine

For Students 9th - 10th Standards
An introduction to graphing the sine and cosine functions by using the 30-60-90 and 45-45-90 right triangle values of the two functions as guides.
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.
Website
Other

Inverse Trigonometric Functions [Pdf]

For Students 9th - 10th Standards
This is a ten page selection from a math textbook that highlights the concept of inverse trigonometric functions. The book provides real world examples, worked out practice problems and numerous problems for students to attempt on their...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Trigonometric Functions

For Students 9th - 10th Standards
Hotmath provides 24 practice problems relating to trigonometric functions. Each of the practice problems include a step-by-step guide for solving their function.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Graphs of Trigonometric Functions

For Students 9th - 10th Standards
Hotmath provides 20 practice problems on graphs of trigonometric functions. Each of the practice problems include a step-by-step guide for solving their graphs.
Activity
University of Vienna (Austria)

Univ of Vienna: Trigonometric Functions

For Students 9th - 10th
An interactive tool to discover how the trig functions came to be. Applets are used in this interactive learning tool. Examples exercises are also given.
Unit Plan
Khan Academy

Khan Academy: Laws of Sines and Cosines Review

For Students 9th - 10th Standards
Review the law of sines and the law of cosines, and use them to solve problems with any triangle.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Sine, Cosine, and Tangent Functions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers the three trigonometric ratios: sine, cosine, and tangent.
Unit Plan
Other

Chat: Inverse Trig Functions [Pdf]

For Students 9th - 10th Standards
This site is a presentation that discusses how to graph inverse trigonometric functions. Topics included on the presentation are inverse sine, cosine and tangent functions.
Activity
Interactive Mathematics

Interactive Mathematics: Trigonometric Functions

For Students 9th - 10th Standards
This is a excellent review lesson about trigonometric functions of any angle. Good examples here.
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.
Activity
Texas Instruments

Texas Instruments: Discovering the Derivative of the Sine and Cosine Functions

For Teachers 9th - 10th
In this activity, students discover the derivative of sin(x) and cos(x) by analyzing a scatter plot of x-values and the function's numerical derivatives at these x-values.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Sine and Cosine of Complementary Angles

For Teachers 9th - 10th Standards
The goal of this task is to provide a geometric explanation for the relationship between the sine and cosine of acute angles. In addition, learners will need to think about the sine and cosine as functions of an angle in order to reason...
Unit Plan
CK-12 Foundation

Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Find all angles on the unit circle matching exact trig ratios. Resource includes examples, videos, and practice problems.
Activity
Texas Instruments

Texas Instruments: Investigating the Derivatives of Some Common Functions

For Teachers 9th - 10th
In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a...

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