Angle Teacher Resources
Find Angle educational ideas and activities
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Sal solves a question from a college entrance exam in India which asks one to find the maximum value of a rational expression with trigonometry ratios. To solve this problem, Sal finds a maximum value by finding the minimum value of the denominator. He uses trigonometric identities to simplify the expression and then finds where the derivative of the denominator is zero and answers the questions whether or not it is a minimum or maximum value. This is an interesting problem that mixes trigonometry and calculus skills.
Learners apply properties of a right triangle to help solve for the missing angle and side. In this trigonometry lesson, students find the equation needed to find the missing part of a right triangle.
In this trigonometric applications worksheet, students read short story problems, draw models of the story, and use trigonometric ratios to solve the problem. This two-page worksheet contains four multi-step problems.
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.
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. Note: After watching this video, there is a set of practice problems, titled ï¿½Trigonometry 1ï¿½, that would be worth trying.
Sal solves a question from a college entrance exam in India which asks one to find the maximum value of a rational expression with trigonometry ratios. To solve this problem, Sal finds a maximum value by finding the minimum value of the denominator. He uses trigonometric identities to simplify the expression and then finds where the derivative of the denominator is zero and answers the questions whether or not it is a minimum or maximum value. This is an interesting problem that mixes trigonometry and calculus skills.
Students identify the different ratios of a right triangle. In this trigonometry lesson, students calculate the sine, cosine and tangent of a right triangle. They differentiate between right and oblique triangles.
Students use principles of geometry to measure the circumference of the Earth. In this applied geometry lesson, students use mathematics to determine scientific information. They make measurements, calculate the central angle, and use significant digits to find the circumference of Earth.
In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how one can use SOH-CAH-TOA to find the coordinates on the circle.
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.
Third graders identify and construct right, acute and obtuse angles and begin to appreciate the degree and unit of measurement of angle. They know the degree value of angles that are simple fractions of a whole turn know that the angle at a point is 360++
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.
In this Trigonometry worksheet, students calculate and problem solve for lengths of sides of a right triangle utilizing the Tangent Ratio.
Sal solves an interesting question in this video from a college entrance exam in India that requires one to use knowledge of arithmetic progressions, trigonometric identities, and algebra. He works through solving the problem in a step-by-step fashion by talking through his thought process in order to help one follow the solution as well as understand why certain steps are taken.
Sal solves a challenging trigonometric problem for finding the number of values of _ that satisfy a number of constraints over a given interval. He shows a clear step-by-step solution and uses some trigonometric identities that he derives.
In this trigonometry learning exercise, students use the sine and cosine law to solve problems. They investigate obtuse triangles using these laws. There are 40 questions.
In this applied trigonometry problems instructional activity, students solve 12 short answer word problems. Students use trigonometric ratios to find angles of elevation and depression. Students find distances between objects using trigonometric ratios and angles of elevation and depression.
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 function. They also solve the equations shown by restricting their answers.
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 same ratio, will give them the same angle.
Students explore the concept of triangles. In this triangles lesson, students are to propose a plan for a ramp at their school. Students use the Pythagorean Theorem and trigonometry to determine the length, height, and angle of the ramp. Students build a model of their ramp.