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...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Unit Circle

For Students 9th - 10th Standards
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
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 students 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...
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
Purple Math

Purplemath: The Unit Circle

For Students 9th - 10th Standards
Relates the unit circle to the method for finding trig ratios in any of the four quadrants. Demonstrates how the unit circle might be useful.
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.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Trig Values of Special Angles

For Students 9th - 10th Standards
Find the sine and cosine of special angles, which are angles whose trig values we can determine without the use of a calculator. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
eBook
Mathigon

Mathigon: Geometry: Circle and Pi: Degrees and Radians

For Students 9th - 10th Standards
Rather than dividing a circle into some number of segments (like 360 degrees), mathematicians often prefer to measure angles using the circumference of a unit circle - a circle with radius 1. This way of measuring angles is called...
Handout
Purple Math

Purplemath: Inverses of Trigonometric Ratios

For Students 9th - 10th Standards
You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse...
Unit Plan
Cuemath

Cuemath: Sine Function

For Students 9th - 10th Standards
A comprehensive guide for learning all about the sine function, unit circle and angles, how to use them, and their various applications. Check out the solved examples and practice questions for better understanding.
Activity
Clark University

Clark University: Dave's Short Trig Course: Trigonometric Functions

For Students 9th - 10th
The Clark University site shows and explains the graphs of the six trigonometric functions. It explains how to find an arbitrary angle measurement using trig. Also, it explains that sine and cosine functions are complementary.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe, F Tf Coordinates of Points on a Circle

For Teachers 9th - 10th Standards
For this task, students are shown a unit circle in a plane and an angle measured from the x-axis. They must determine the coordinates of the line segment for the angle and answer a question about the sum of the coordinates. The purpose...
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
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...
Unit Plan
Cuemath

Cuemath: Cosine Function

For Students 9th - 10th Standards
Learn more about cosine functions by exploring unit circles, and angles, how to use them, and their various applications along with some solved examples and a few interactive questions to test your understanding.
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)...
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.