Lesson Plan
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The Tangent Ratio

For Teachers 8th - 11th
Students calculate the tangent ratio given a right triangle. In this trigonometry lesson plan, students use a right triangle and the Pythagorean Theorem to solve problems.
Lesson Plan
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Does Your Field Measure Up

For Teachers 9th - 11th
Students measure angles using a plane table kit. For this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
Lesson Plan
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Exploring Trigonometric Ratios

For Teachers 9th - 10th
Students identify the ratios of trig functions. In 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.
Worksheet
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Trigonometric Functions

For Students 9th - 12th Standards
Here is a worksheet that includes three short trigonometry problems. Learners must use trigonometric definitions and identities to solve. Use this resource to review trigonometry, or as an assessment.
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Trigonometric Ratios

For Teachers 9th - 12th Standards
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
Lesson Plan
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Extrema on an Interval

For Teachers 9th - Higher Ed
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
Lesson Plan
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Integrals with Secant Powers of Secant Tangent

For Teachers 12th
Twelfth graders integrate trig functions with even powers. In this calculus lesson, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the integrals...
Lesson Plan
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Trigonometric Identities

For Teachers 10th - 11th
Students calculate the six trigonometric identities. In this algebra lesson, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and then are graded...
Lesson Plan
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Integrals with odd powers of secant and tangent

For Teachers 12th
Twelfth graders solve equations containing powers of sec and tan. In this caclculus instructional activity, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
Lesson Plan
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Geometry Exploration Basic Trig Functions

For Teachers 10th
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson plan, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
Lesson Plan
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Chors, Secants, Tangents

For Teachers 9th - 12th
High schoolers identify the relationship between chords, secants and circles. In this geometry lesson, students calculate the length of the chords. They sketch the secant lines on a circle.
Lesson Plan
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Sin, Cos and Tangent

For Teachers 9th - 10th
Students find the identity o sine, cosine and tangent. In this precalculus instructional activity, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing...
Lesson Plan
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Integrals with Odd Powers of Secant and Tangent

For Teachers 11th - 12th
Pupils discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They work...
Lesson Plan
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Integrals with Even Powers of Secant and Tangent

For Teachers 11th - 12th
Learners integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first integral....
Lesson Plan
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Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In this trigonometry activity, 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...
Lesson Plan
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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...
Lesson Plan
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Trigonometric Ratios

For Teachers 10th - 12th
Students measure and analyze angles. In this trigonometry lesson, students measure angles and distances use non-traditional techniques. They identify the different ratios of sine, cosine and tangent.
Lesson Plan
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Exploring Trigonometric Ratios

For Teachers 10th - 12th
Students calculate the different ratios using a right triangle. For this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Lesson Plan
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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.
Lesson Plan
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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.
Lesson Plan
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Law of Cosines

For Teachers 7th - 9th
Students model scenarios using functions and their properties. In this trigonometry instructional activity, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
Lesson Plan
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Intro to Trigonometry

For Teachers 6th - 8th
After being introduced to the basic trigonometry functions, young scholars calculate the height of school landmarks. They experiment with different angles to find the correct height.
Lesson Plan
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Relationships Among Arc and Angle Measures in Circles

For Teachers 9th - 12th
Students follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are...
Lesson Plan
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Measuring the Earth

For Teachers 10th - 11th
Students identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.