EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
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The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
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Worksheet 11 - Points of Discontinuity
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
Curated OER
MT-141 Precalculus - Worksheet 6.4(b)
In this precalculus worksheet, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
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MT-A141 PreCalculus: Worksheet 6.2/6.3
In this precalculus worksheet, learners use their graphing calculator to determine the coordinates for given functions. They determine the values for cosine, sign, tangent, and secant of given equations. Given an angle of elevation,...
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PreCalculus Worksheet 8.4
In this precalculus worksheet, students write numbers in their trigonometric form and compute the numbers to a given power. Students explore the parametric function and trace the roots of unity. After completing eight short answer...
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Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry instructional activity, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and...
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Right Triangles and The Unit Circle
Students solve right triangles using trigonometry. In this geometry lesson, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
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Further Trigonometry
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
Curated OER
Differentiation of Trigonometry Functions
In this trigonometry activity, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
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A Special Relationship
Middle schoolers discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and...
Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
Curated OER
Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Defining the Circular Functions
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
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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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Exploration of Trigonometry
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...
Curated OER
Precalculus Test
In this calculus activity, students match cosine values with sine values. They solve trigonometric equations and graph functions. There are 20 questions with a bonus question.
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Exploring Centers of Triangles
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
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Worksheet 28
For this math worksheet, students determine the solutions of the functions using the Fourier series. They also use computer to create some graphs for functions.
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La Toteca- A Tropical Paradise
Students collect data on the time of the ferry. In this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.
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Worksheet 35
In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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Modeling With Circular Functions
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...