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Why Call It Tangent?
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...
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Introduction to Trigonometry
Students identify the six trigonometric ratios and properties. In this trig lesson, students define basic trig functions as it relates to solving right triangles. They identify the equation for sine as o/h and cosine as a/h and tangent...
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Further Trigonometry
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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Trigonometry
Young scholars investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify...
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Exploration of Trigonometry
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
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Further Trigonometry
In this trigonometry learning exercise, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
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Unit Circle Lesson Plan
Learners identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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Applications of Triangles
Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
National Council of Teachers of Mathematics
Seeing Music, Hearing Waves
In this music activity, 11th graders incorporate fractions into their music scales and counting scales. They listen to the music being played and relate it to sine waves reviewing the trig function. There are 11 questions involving sine...
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Trigonometry
In this trigonometry worksheet, students find the missing angles for given triangles. They use the trigonometric ratios to solve the problems.
Futures Channel
Folding Circles
Young scholars investigate properties of circles. For this geometry lesson, students differentiate between similarity and congruence as they observe polygons. They investigate properties of two and three dimensional shape.
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 stations....
Curated OER
Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
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Trigonometric Applications Outside the Classroom
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
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Elevation at its Peak
Learners pretend they are hiking up a mountain. They practice making calculations on angles and elevation. They use topographic maps to estimate distances and trigonometric ratio methods.
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Right Triangles and The Unit Circle
Young scholars solve right triangles using trigonometry. In this geometry lesson, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
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Angles in Circles
In this angles in circles worksheet, 10th graders solve 10 different problems that include tangents and chords and intersecting chords. First, they find x when given 2 intersecting chords. Then, students determine x given the diameter...
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How High did My Rocket go?
Students shoot off a rocket and measure the trig ratios relation. For this geometry lesson, students practice using an inclinometer to figure out how high their rockets fly. They measure angles and height and relate it to gravity and...
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Why We Study Trigonometry
Young scholars investigate the different properties of trigonometry. In this precalculus lesson, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real...
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Intro to Trigonometry
After being introduced to the basic trigonometry functions, learners calculate the height of school landmarks. They experiment with different angles to find the correct height.
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Cosine
In this cosine worksheet, students find the cosine of x for different measurements of triangles. Students complete 10 cosine problems.
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Three Tangent Circles
In this tangent circles worksheet, students use pi to solve a problem involving tangent circles. This one-page worksheet contains 1 problem. The answer is provided at the bottom of the page.
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Math: Investigating Triangles
Tenth graders identify the trigonometric ratios for right angled triangles. Through independent investigation, they discover the constancy between the ratios of any two sides of similar triangles. In an alternative method, 10th graders...
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Length of an Arc and Area of a Sector
In this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students find...