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Virginia Department of Education
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
Curated OER
Model Air Plane Acrobatics
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
Curated OER
Differentiation of Trigonometry Functions
In this trigonometry instructional 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.
Curated OER
Trigonometry Worksheet 9
Learners use addition and subtraction formulas and special reference triangles to solve a variety of trigonometric problems. Sine, cosine, and tangent problems in both radians and degrees are included.
CK-12 Foundation
Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas
The more you know, the more you can learn. Scholars apply the double angle and half angle formulas to determine trig values based on known values. They use an interactive that provides sine and cosine values to aid calculations.
Curated OER
Volcano's Deadly Warning
Students view a video clip on volcanoes. They work together to discover the concept of sine waves. They plot points on a chart and connect them to create the complex wave. They answer questions to complete the lesson.
Curated OER
Let's Do the Wave!
Students distinguish waves from matter, differentiate between transverse and longitudinal waves, use sine curves as representations of transverse waves, label characteristic properties of waves, diagram transverse waves having specific...
National Council of Teachers of Mathematics
Seeing Music, Hearing Waves
In this music activity, 11th graders incorporate fractions into their music scales and counting scales. They listen to the music being played and relate it to sine waves reviewing the trig function. There are 11 questions involving sine...
Curated OER
Extending Trigonometry Skills
In this trigonometry worksheet, students use the sine and cosine law to solve problems. They investigate obtuse triangles using these laws. There are 40 questions.
Curated OER
Precalculus Problem Solving Worksheet
For this precalculus worksheet, 12th graders solve seven problems by finding complete set solutions and graphing them. they also convert equations to sines and cosines.
Curated OER
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.
Curated OER
Basic Theorems and Proofs
In this pre-calculus worksheet, 11th graders recall the three forms of the law of cosines and used it to solve problems involving triangles. They also write out the laws of sines and use those to solve problems with angles. There are 15...
Curated OER
Mnemonics to Remember Your Trig Ratios
In this calculus learning exercise, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.
Curated OER
Investigation the Derivatives of Some Common Functions
Learners investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a...
Curated OER
Interpolating Function
In this interpolating function worksheet, learners solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
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
Right Triangle Trigonometry
In this trig worksheet, 12th graders identify the angles of a tight triangle using sine, cos and tan combined with the given sides. There are 23 problems broken down in 4 sections.
Curated OER
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,...
Curated OER
Graphing One Sin Trig Function
In this graphing learning exercise, students graph one sine equation. A blank grid is provided.
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Willow Tree
The Pythagorean Theorem
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Mathematics Assessment Project
College and Career Readiness Mathematics Test C1
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
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