Lesson Plan
Virginia Department of Education

Special Right Triangles and Right Triangle Trigonometry

For Teachers 9th - 11th Standards
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...
Lesson Plan
Curated OER

Model Air Plane Acrobatics

For Teachers 9th - 12th Standards
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...
Interactive
Curated OER

Differentiation of Trigonometry Functions

For Students 9th - 11th
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.
Worksheet
1
1
Curated OER

Trigonometry Worksheet 9

For Students 9th - 12th Standards
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.   
Interactive
CK-12 Foundation

Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas

For Students 10th - 12th
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.
Lesson Plan
Curated OER

Volcano's Deadly Warning

For Teachers 5th - 12th
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.
Lesson Plan
Curated OER

Let's Do the Wave!

For Teachers 11th - 12th
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...
Worksheet
National Council of Teachers of Mathematics

Seeing Music, Hearing Waves

For Students 11th
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...
Worksheet
Curated OER

Extending Trigonometry Skills

For Students 10th - 12th
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.
Worksheet
Curated OER

Precalculus Problem Solving Worksheet

For Students 12th
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.
Worksheet
Curated OER

Further Trigonometry

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Basic Theorems and Proofs

For Students 11th
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...
Worksheet
Curated OER

Mnemonics to Remember Your Trig Ratios

For Students 10th - 12th
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.
Lesson Plan
Curated OER

Investigation the Derivatives of Some Common Functions

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

Interpolating Function

For Students 12th - Higher Ed
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,...
Worksheet
Center for Innovation in Mathematics Teaching

Trigonometry

For Students 9th - 12th Standards
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...
Worksheet
Curated OER

Right Triangle Trigonometry

For Students 12th
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.
Lesson Plan
Curated OER

Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
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,...
Worksheet
Curated OER

Graphing One Sin Trig Function

For Students 11th - Higher Ed
In this graphing  learning exercise, students graph one sine equation.  A blank grid is provided.
Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Why Call It Tangent?

For Students 10th - 12th Standards
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...
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
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...
Lesson Plan
Willow Tree

The Pythagorean Theorem

For Students 8th - 11th Standards
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...
Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C1

For Students 9th - 12th
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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