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Mathematics Assessment Project
Representing Trigonometric Functions
Discover the classic example of periodicity: Ferris wheels. Young mathematicians learn about trigonometric functions through Ferris wheels. They match functions to their graphs and relate the functions to the context.
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Graphs of the OTHER Trig Functions
Students graph trigonometric functions. In this precalculus activity, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.
Embedded Math
Trig Graph
You and your learners will enjoy having many copies of this trigonometric graph set on the Cartesian coordinate grid with a domain running from -360 degrees to 360 degrees and a range running from -2 to 2.
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Adding Trigonometric Functions
Students identify trigonometric functions. In this trigonometry lesson, students add and subtract trigonometric functions. They add sine and cosine waves and relate it to the real world.
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Trigonometric Functions
Here is a instructional activity 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.
Shodor Education Foundation
Function Flyer
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
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Trigonometric Functions of Acute Right Triangles
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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Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
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Trigonometry Ratios
High schoolers identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
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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...
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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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Does Your Field Measure Up
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.
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Derivatives of the Trig Functions
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus lesson, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They complete practice...
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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 Transformations
Students perform transformation on trig functions. In this precalculus lesson, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...
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Understanding Fundamental Trigonometric Identities
High schoolers 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...
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Foxes and Rabbits 2
Explore the relationship between the population of foxes and rabbits in a national park using trigonometric models. Plot data and find the appropriate trigonometric functions. Two questions require interpretation and explanation of...
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Limits of Trigonometric Functions
Students define limits as it related to trig functions. For this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
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Identities and Trigonometric Values
Students 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 identities.
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Follow That Graph
Pupils investigate the graphs of six trigonometric functions. They discover how changes in the equation of the basic function affect the graph of the function.
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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...
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Ratios in Right Triangles
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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Reading Graphs
Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.
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Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.