Curated OER
Does Your Field Measure Up
Learners 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.
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Finding the Area of an Equilateral Triangle
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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Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the formulas...
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Derivatives of the 6 Inverse Trig Functions
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through substitution.
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Integration Involving Inverse Trig Functions
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Trigonometric Functions
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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Identities and Trigonometric Values
Young scholars solve trigonometric equations. In this precalculus instructional activity, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different...
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Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Trig Review
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
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Equations, Formulas and Identities
Students rewrite word problems using the correct symbols. In this algebra lesson, students find the trigonometric identities and use them to solve problems. They write equations for the trigonometric ratios.
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Trigonometric Ratios
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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Using Trigonometric Ratios
Learners solve problems using sine and cosine. For this trigonometry lesson, students apply the properties of sine and cosine to solve triangular problems. They identify when to use law of sines using angle-side relationships.
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Investigating the Idea of Sin
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
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How are Trig Ratios Used to Measure Triangle Sides
Young scholars 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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Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson plan, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
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The Tangent Ratio
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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Extrema on an Interval
Learners explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Why We Study Trigonometry
Students 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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Introduction to Trigonometry
Young scholars identify the six trigonometric ratios and properties. In this trig lesson plan, 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...
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Integrals with odd powers of secant and tangent
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.
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Sin, Cos and Tangent
Students find the identity o sine, cosine and tangent. In this precalculus lesson, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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Measuring the Earth
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.
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Integrals with even Powers of Sine and Cosine
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
NTTI
Vectors: Traveling, But in What Direction
High schoolers watch a video of real-world situations regarding speed, direction, velocity, force, etc. and answer questions while viewing. They then practice drawing and using vectors to solve more real-world problems.