Unit Circle Teacher Resources

In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how to use SOH-CAH-TOA to find the circle's coordinates.

Seeing structure in the patterns is key to understanding the unit circle, and it takes time to become comfortable with those relationships. The video gives learners access to repeated instruction to allow time to develop those patterns. 

You and your learners will enjoy having a nicely organized, typed up unit circle, all filled in with degrees and radians as well as cartesian coordinates. 

Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...

It's not just any circle—it's the unit circle. The fourth lesson in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit circle and how to...

It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.

Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...

In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle.  The four page worksheet contains a combination of twenty multiple choice and free response problems.  Answers are provided. 

For this Unit Circle worksheet, students explore a method to help remember the coordinates of the points in the first quadrant on the unit circle.  Answers are provided as well as a completed unit circle.

For this unit circle worksheet, students answer 90 short answer questions about the unit circle.  Students sketch angles given a radian measure.  Students find the trigonometric values of various angles on the unit circle.

Using the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the cosine graph by translating the x-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...

Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...

Using the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the sine graph by translating the y-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...

From a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars also...

Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of the...

No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...

In this unit circle worksheet, students measure angles in circles and label each point in the amount of degrees, or radian measurement. They measure and label 36 angles located in three circles.

Individuals investigate the relationship between radian and angle measurements by using an interactive to find the angle measurement for given radian measures. Users answer questions to convert between the two measurements.

A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...