Unit Plan
Mathematics Vision Project

#### Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
EngageNY

#### Modeling with Inverse Trigonometric Functions 2

For Teachers 11th - 12th Standards
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
Lesson Plan
Project Maths

#### Trigonometric Functions

For Teachers 9th - 12th Standards
From a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars also...
Lesson Plan
EngageNY

#### Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
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...
Lesson Plan
1
1
EngageNY

#### Revisiting the Graphs of the Trigonometric Functions

For Teachers 11th - 12th Standards
Use the graphs of the trigonometric functions to set the stage to inverse functions. The instructional activity reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing...
Lesson Plan
Curated OER

#### Trig Transformations

For Teachers 9th - 12th Standards
Learners investigate trigonometric function.  In this Algebra II lesson, young scholars explore functional notation and transformational graphing of trigonometric functions.
Interactive
CK-12 Foundation

#### Basic Inverse Trigonometric Functions: Ladder

For Students 10th - 12th Standards
Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.
Interactive
CK-12 Foundation

#### Trigonometric Functions of Negative Angles

For Students 10th - 12th Standards
When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...
Unit Plan
Mathematics Vision Project

#### Module 7: Trigonometric Functions, Equations, and Identities

For Students 10th - 12th Standards
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
Lesson Plan
EngageNY

#### Properties of Trigonometric Functions

For Teachers 11th - 12th Standards
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
Lesson Plan
Mathematics Assessment Project

#### Representing Trigonometric Functions

For Teachers 9th - 12th Standards
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.
Lesson Plan
EngageNY

#### Modeling with Inverse Trigonometric Functions 1

For Teachers 11th - 12th Standards
Lesson Plan
EngageNY

#### Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

For Students 10th - 12th Standards
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous instructional activity in this series on transformations, learners use trigonometric functions to model...
Interactive
CK-12 Foundation

#### Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine

For Students 10th - 12th Standards
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
Worksheet
2
2
Mt. San Antonio Collage

#### Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions.
AP Test Prep14:07
1
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Flipped Math

#### Calculus AB/BC - Differentiating Inverse Trigonometric Functions

For Students 10th - 12th
Differentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...
Interactive
CK-12 Foundation

#### Trigonometric Functions and Angles of Rotation: The Triangle in the Circle

For Students 10th - 12th Standards
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
Interactive
CK-12 Foundation

#### Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding

For Students 10th - 12th Standards
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
Worksheet
Curated OER

#### Circular Trigonometric Functions

For Students 11th - 12th
For this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
Interactive
CK-12 Foundation

#### Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Instructional Video20:40
2
2
Flipped Math

#### Modeling with Trig Functions

For Students 9th - 12th Standards
Find out what to do with Ferris wheels that keep going up and down. Individuals learn how to determine the frequency of a trigonometric function. Pupils use their knowledge of trigonometric functions to model periodic motions like Ferris...
Interactive
CK-12 Foundation

#### Basic Trigonometric Functions: Ladder Length

For Students 9th - 12th Standards
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
Lesson Plan
Curated OER

#### Graphs of the OTHER Trig Functions

For Teachers 10th - 11th
Students graph trigonometric functions. In this precalculus lesson, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.
Printables
Embedded Math

#### Trig Graph

For Teachers 10th - 12th Standards
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.