Handout
Purple Math

Purplemath: Trigonometric Functions and Their Graphs

For Students 10th - 12th Standards
Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Trigonometric Functions for Arbitrary Angles

For Teachers 9th - 10th Standards
The purpose of this task is to examine trigonometric functions for obtuse angles. Aligns with F-TF.A.2.
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
Students will explpre models and understand the difference between quadratic, exponential, and linear models in this lesson.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg Seven Circles Iii

For Teachers 9th - 10th Standards
In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Equilateral Triangles and Trigonometric Functions

For Teachers 9th - 10th Standards
The purpose of this task is to apply knowledge about triangles to calculate the sine and cosine of 30 and 60 degrees. Aligns with HSF-TF.A.3.
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."
Activity
Other

Edumat: Geometria Interactive

For Students 9th - 10th
In this section different interactive activities are presented which can be used as supplementary material to traditional classroom and allow for interactive study of mathematics.
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern

For Teachers 9th - 10th Standards
In this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters, but...
Graphic
Curated OER

Circle Picture

For Students 9th - 10th
This site provides definitions for different parts of a circle, pictures to more clearly represent formulas involving circles. Some of the formulas discussed include: area of a circle, area of a sector of a cirles, circumference, length...
Graphic
Math2

Math2.org: Trigonometry Tables

For Students 9th - 10th Standards
Three trig tables are provided for student and teacher reference. The first table lists the sine, cosine, tangent, secant, cosecant, and cotangent values of all whole-number angles from 0 to 90. The radian equivalent (to four decimals)...
Activity
Paul Dawkins

Paul's Online Notes: Algebra Cheat Sheet [Pdf]

For Students 6th - 8th
An algebra "cheat sheet" to use as a reference when completing algebra homework. Lists basic facts, properties, operations, formulas, and functions, as well as common errors.
Unit Plan
CK-12 Foundation

Ck 12: Flex Book: Trigonometry

For Teachers 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Six-chapter book that introduces students to trigonometry. Topics include right angles, circular functions, trigonometric identities, vectors, and polar equations.
Graphic
Curated OER

Parametric Unit Circle

For Students 9th - 10th
This site provides definitions for different parts of a circle, pictures to more clearly represent formulas involving circles. Some of the formulas discussed include: area of a circle, area of a sector of a cirles, circumference, length...
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.

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