Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
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Practice Problems
In this geometry worksheet, students practice finding the measure of 4 different angles. Students work independently as they refine their ability to correctly calculate the measure of an angle.
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Dizzy Heights
Fifth graders explore ways to measure the height of an inaccessible object. They measure lengths using a tape measure or ruler. Students measure angles using a protractor and estimate heights.
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Law of Cosines
Students model scenarios using functions and their properties. In this trigonometry lesson, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
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Sine
In this sine worksheet, students use the trigonometry equation to find the sine of triangles. Students solve the sine for 10 triangle problems.
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Trigonometric Ratios
Students measure and analyze angles. In this trigonometry instructional activity, students measure angles and distances use non-traditional techniques. They identify the different ratios of sine, cosine and tangent.
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Using the Law of Sines and the Law of Cosines to Solve Triangles
In this trigonometry instructional activity, students apply the Law of Sines and Cosines to solving for missing sides of a triangle. There are 5 questions with an answer key.
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Right Triangles and Unit Circles
Students evaluate the six trigonometric values of a trig function. In this trigonometry lesson, students use the Unit Circle to find the values of right triangles and their angles. They identify an angle of elevation and...
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Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry instructional activity, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the...
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Exploring Trigonometric Ratios
Students calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
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Using Trigonometric Ratios
Students solve problems using sine and cosine. In this trigonometry lesson, students apply the properties of sine and cosine to solve triangular problems. They identify when to use law of sines using angle-side relationships.
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Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry instructional activity, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig...
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Vertical Tower 2
For this trigonometry worksheet, students prove that for the given conditions of the problem that cos y = cos2 x. The one page worksheet contains one problem with the solution.
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How are Trig Ratios Used to Measure Triangle Sides
Students identify the ratios of trig identities. In this geometry lesson, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
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Trigonometric Equations
In this trigonometric equations worksheet, 11th graders solve 10 different problems that include trigonometric functions. First, they order the equation in terms of one equation and one angle. Then, students write the equation as one...
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The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
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Getting it Right!
Students investigate error. As shown in earlier activities from navigation lessons 1 through 3, without an understanding of how errors can affect position, one cannot navigate well. Students explore how computers can help in navigation....
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Year 10 Mathematics Triangle Test
In this math worksheet, students find the solutions to the missing angles and sides of the triangles using the correct trigonometric ratios.
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Trigonometric Ratios
In this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...
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Method for Remembering the Coordinates of the Points in the First Quadrant on the Unit Circle
In this Unit Circle worksheet, learners 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.
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Trigonometry
Eighth graders practice calculating the unknown length of a right angle triangle. They also examine the pythogoram theory in groups. They help each other work through the problems.
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Solving Right Triangles
Students investigate the basic trigonometric functions. In this geometry/trigonometry instructional activity, students explore strategies to solve right triangles using basic trigonometric functions. The instructional...
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Number of Solutions for a Triangle
In this solutions for a triangle worksheet, students use trigonometric ratios to determine the number of triangles that can be constructed with the given sides and angles. This one-page worksheet contains 22 problems.
Texas Instruments
The Leaning Tower of Pisa
Learners estimate the equation of a line, angle of elevation and depression in this math lesson. They analyze e famous landmark design and make connections to algebra and geometry. They will also generate an equation, model the x and y...