Negative Angles Teacher Resources

When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...

To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...

Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.

Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson plan, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...

In this angle learning exercise, learners identify angles that are coterminal with the given angles and identify what quadrant the terminal side lies. This one-page learning exercise contains 25 problems.

Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...

Students explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs...

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. 

Graphing outside of the Cartesian plane is a unique challenge for many students, particularly the part where they need to convert (x, y) coordinates into polar form. Enter this lesson and corresponding worksheet covering the basics of...

In this trigonometry learning exercise, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given trig...

In this precalculus worksheet, students complete a table of common angle equivalences and compare them to radians. Using their calculator they examine the difference between angles in degrees and the answer in radians. Students...

In this trigonometry function worksheet, students review the law of sines and cosines. They find exact trig function values for angles, determines amplitude, period and phase shift of a graph, and add ordinates. This final review...

Students rotate and flip shapes to create a tessellation pattern. In this geometry lesson, students investigate symmetry and repeated patterns as they create different tessellations.

In this geometry worksheet, students identify the different measure of each angle. They rotate the rays around and make observations about the angles formed. There are 15 questions and lots of examples.