Negative Angles Teacher Resources

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Trigonometric Functions of Negative Angles

For Students 10th - 12th Standards
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...
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Positive and Negative Angles and Arcs

For Teachers 9th - 12th Standards
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...
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Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
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.
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Angles in Standard Positions

For Teachers 9th - 11th
Learners identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
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Coterminal Angle Extra Practice

For Students 10th - 12th
In this angle activity, students identify angles that are coterminal with the given angles and identify what quadrant the terminal side lies. This one-page activity contains 25 problems.
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Trig Tour

For Students 9th - 12th Standards
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...
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Proof of Identity

For Teachers 9th - 12th Standards
High schoolers explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, high schoolers investigate the Pythagorean trigonometric identities and the...
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Polar Coordinates

For Teachers 10th - 12th Standards
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...
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Further Trigonometry

For Students 11th - 12th
In this trigonometry worksheet, 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...
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Turns and Rotations = Tessellations

For Teachers 10th - 11th
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.
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Understanding Angles

For Students 9th - 11th
In this geometry instructional activity, 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.
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MT-A141 PreCalculus: Worksheet 6.1

For Students 10th - 11th
In this precalculus learning exercise, 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...
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Final Exam Review: Angles & Trig Functions

For Students 10th - Higher Ed
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...

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