Tangents Teacher Resources
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Young scholars derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Students relate properties of right triangles to the unit circle. In this trigonometry lesson, students identify the different ratios of a right triangles and use it create the different parts of a Unit Circle. They find the six trig identities using the unit circle.
Students identify the properties of right triangles. For this geometry lesson, students identify the different ratios and parts of a Unit Circle. They use the unit circle as an aid in finding parts of a special triangle and trig identities.
Students identify the different angles and sides of a triangle. For this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing techniques using a PowerPoint, and interact with a number of websites to reinforce graphing lines, quadratics, exponentials, and conics. They also graph (depending upon their level) various equations and functions, including linear equations, quadratic equations, circles, ellipses, hyperbolas, exponential growth/decay, sine, cosine, tangent, and points. The range and domain are also key when creating a drawing.
Students measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
Learners explore the sine, cosine, and tangent relationships of a right triangle. In this sine, cosine, and tangent relationships of a right triangle lesson plan, students construct a right triangle. Learners develop the sine, cosine, and tangent relationships by measuring angles and side lengths of a right triangle. Students find the ratio of opposite and adjacent sides to each other and the hypotenuse.
The class uses the computers to access GeoGebra Dynamic Worksheets to learn the basics about vectors. They will look at graphs and make computations to problem solve to find coordinates of vectors.
Students solve indirect ratios. In this indirect measurement lesson, students explore trigonometric functions and ratios using outdoor objects. They estimate heights and perform indirect measurements.
Students find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They find the distance, given the speed, radius and time.
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.
Sal continues with examples of finding the sine, cosine, and tangent of an angle in a right triangle using SOH-CAH-TOA. In his examples, he reviews the use of the Pythagorean Theorem and rationalizing the denominator of a fraction. He also does an example of traditional 30-60-90 triangle and finds each of the three trigonometric ratios for the 30 and 60 angles.
This video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as a quick introduction or review.
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain for the function. Students switch from measuring angles in degrees to radians.
Students explore the concept of sine and cosine. In this sine and cosine lesson, students use uncooked spaghetti to transfer lengths from the unit circle to a function graph on large butcher paper. Students can graph the spaghetti in degrees or in radians.
Sixth graders investigate the magnitudes of the sides and angles of a triangle. They determine the proof of the Sine Rule before using it to solve triangles. They compare the Sine Rule to the Cosine Rule in this unit of lessons.
Eleventh graders investigate the Law of Sines. In this trigonometry lesson students discover, prove and apply the Law of Sines. The lesson is designed to be an introduction to the Law of Sines; therefore, the ambigious case is not considered.
Tenth graders explore right triangle trigonometry. In this geometry instructional activity, 10th graders investigate the characteristics and properties of sine, cosine, and tangent as they explore the ratios between two of the segment of a right triangle.
Students study the basic principles of right triangle geometry needed to solve for unknown values of a right triangle. They apply and master the principles of right triangle geometry by solving problems.
In this review of trigonometry learning exercise, students determine the values of angels using sine, cosine, and tangent. They determine arc length and find the coordinates of endpoints. This two-page learning exercise contains approximately 70 problems.