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Trigonometry Ratios

For Teachers 9th - 12th Standards
Students identify the different angles and sides of a triangle. In this geometry instructional activity, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
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Ratios in Right Triangles

For Teachers 9th - 12th Standards
Learners calculate the sides of right triangles in this trigonometric ratios lesson. They use Cabri Jr. software and TI-83 or TI-84 calculators to find the side lengths and their ratios to each other for various triangles. The provided...
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Access Ramp

For Teachers 9th - 12th Standards
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
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The Tangent Ratio

For Teachers 8th - 11th
Students calculate the tangent ratio given a right triangle. For this trigonometry lesson, students use a right triangle and the Pythagorean Theorem to solve problems.
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How are Trig Ratios Used to Measure Triangle Sides

For Teachers 8th - 11th
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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Amazing Consistent Ratios

For Teachers 7th - 9th
Students 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.
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Why We Study Trigonometry

For Teachers 10th - 11th
Learners 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 life...
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Trigonometry

For Teachers 10th - 12th
Students 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 the...
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Indirect Measurement, Surveying Trigonometry

For Teachers 9th - 10th
Students measure distances using indirect measurements. For this geometry lesson, students apply proportion and ratios to measure heights of different objects. They differentiate between direct and indirect measurements.
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Introduction to Trigonometry

For Teachers 10th - 12th
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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Does Your Field Measure Up

For Teachers 9th - 11th
Young scholars measure angles using a plane table kit. In this geometry instructional activity, students use trigonometric identities to find the values of the length of a football field.
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Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
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Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.
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Intro to Trigonometry

For Teachers 6th - 8th
After being introduced to the basic trigonometry functions, middle schoolers calculate the height of school landmarks. They experiment with different angles to find the correct height.
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Trig River

For Teachers 6th - 8th
Students calcute distances using trigonometry and angle measurements. They estimate the width of the Trig River, measure it and compare their results with their classmates. They collaborate with a group to research and find the results.
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Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
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Refraction B2—When is Light Reflected Internally?

For Students 9th - 12th Standards
Physics is phun in this lesson. Young physicists use a lightbox to test how and where light is refracted and reflected as it travels through transparent materials. Angles of incidence and refraction, sine of both angles, and the...
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Exploring Trigonometric Ratios

For Teachers 10th - 12th
Young scholars 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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Exploring Trigonometric Ratios

For Teachers 9th - 10th
Learners identify the ratios of trig functions. For this trigonometry lesson, 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 identities.
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Trigonometric Ratios

For Teachers 10th - 12th
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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The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Learners study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
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Law of Sines

For Teachers 9th - 12th
Learners identify the ratios of a right triangle. In this calculus lesson, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
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Trigonometric Applications Outside the Classroom

For Teachers 5th
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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