eBook
Math Planet

Math Planet: Algebra 2: Circular Functions

For Students 9th - 10th Standards
Explanation of circular functions through the use of examples and a video lesson. [1:10]
Activity
Texas Instruments

Texas Instruments: Circular Functions

For Teachers 9th - 10th
In this activity, students find intercepts of circular function graphs. They also investigate the characteristics of such graphs.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Circular Functions, Periodicity and Symmetry

For Students 9th - 10th
Eighteen problems offer practice working with circular functions, periodicity and symmetry. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Unit Plan
Vision Learning

Visionlearning: Wave Mathematics: Trigonometric Functions

For Students 9th - 10th Standards
Learn how to use trigonometric functions to study waves.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Functions and Angles of Rotation

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Describing trig functions as relationships on the unit circle.
Unit Plan
Lawrence Hall of Science

The Math Page: Trigonometry: Analytic Trigonometry the Unit Circle

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the unit circle and all six trigonometric functions of all quadrantal angles. There are example problems solved, problems for the student to attempt, and answers to the student...
Activity
Texas Instruments

Texas Instruments: Exploring the Unit Circle

For Teachers 9th - 10th Standards
In this activity, students explore the properties of a unit circle and its mapping functions.
Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Graph of Circle as a Function

For Students 9th - 10th Standards
Dr. Math, in a reply to a student question, describes how a circle can be a function.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Graphing and Functions

For Students 9th - 10th Standards
Students investigate functions and graphing. Topics examined are lines, circles, graphing functions, inverse functions, and combining functions. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Lesson Plan
Alabama Learning Exchange

Alex: Traveling Around the Unit Circle

For Teachers 9th - 10th
This lesson is intended to review the key ideas associated with trigonometric functions.The design of this lesson provides a collection of reproducible activities to be used in a classroom setting where students have varied backgrounds /...
Activity
Texas Instruments

Texas Instruments: Trig Values of the Unit Circle

For Teachers 9th - 10th Standards
This is a LearningCheck quiz to evaluate students on the special angles of the unit circle.
Handout
Wolfram Research

Wolfram Math World: Hyperbolic Functions

For Students 9th - 10th
This site from MathWorld explains the hyperbolic function. The information is not too in-depth, but factual and quite a few links are provided for additional information on related subjects.
Activity
Analyze Math

Analyze Math: Special Angles on Unit Circle

For Students 9th - 10th Standards
Learners explore the special angles between 0 and 2 pi on a unit circle. The special angles can be used to solve trigonometry problems.
Activity
Texas Instruments

Texas Instruments: "The Sound of Music"

For Teachers 9th - 10th
This activity will use tuning forks and the CBR to gather sound wave data for students to use to write Sine (or Cosine) functions. In this activity we study waves of known musical notes before studying waves of unknown musical notes. I...
Lesson Plan
Student Achievement Partners

Student Achievement Partners: Penny Circle Task [Pdf]

For Teachers 9th - 10th Standards
Learners will explpre models and understand the difference between quadratic, exponential, and linear models in this lesson.
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.
Professional Doc
University of Maryland

University of Maryland: Romantic Circles

For Students 9th - 10th
Extensive site dedicated to Romantic Studies. Best to use the search function. Includes modern poets reading Romantic poetry.
Unknown Type
McGraw Hill

Glencoe Mathematics: Quiz on Trigonometric Functions on the Unit Circle

For Students 9th - 10th Standards
Learners demonstrate comprehension of advanced mathematical concepts in Trigonometry. The questions check understanding on the topic of trigonometric functions on the unit circle.
Activity
Analyze Math

Analyze Math: Unit Circle and Trigonometric Functions

For Students 9th - 10th Standards
The free mathematics tutorial explores the unit circle and trigonometric functions. The tutorial consists of definitions and examples with solutions. The interactive applet allows students to investigate domain, range, and asymptotes of...
Activity
University of Vienna (Austria)

The Graphs of Sin, Cos, and Tan Maths Online

For Students 9th - 10th
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
Website
American Association of Physics Teachers

Com Padre Digital Library: Open Source Physics: Circular Well Superposition

For Teachers 9th - 10th
A simulation that displays the time evolution of the position-space wave function using the Circular Well Eigenstate Superposition model.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Tangent and Cotangent Graphs

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Define the tangent and cotangent graphs using the unit circle.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Common Graphs

For Students 9th - 10th Standards
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...
Activity
Shodor Education Foundation

Shodor Interactivate: Conic Flyer

For Students 9th - 10th
"This applet allows the user to create graphs of conic sections. Using slider bars, one can manipulate the function to change the constant values and view the effects of those changes."

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