Graphing Trigonometric Functions Teacher Resources

Find Graphing Trigonometric Functions lesson plans and worksheets
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EngageNY

EngageNY Algebra II Module 2: Trigonometric Functions

For Teachers 10th - 12th Standards
Building on young mathematicians prior knowledge of geometry and algebraic functions, this 17-lesson unit introduces the topic of trigonometric ratios. Starting with the basic definitions of sine, cosine, and tangent, students move on to...
8 Items in Collection
Lesson Planet

Graphing Trig Functions

For Teachers 9th - 12th Standards
Going from simple trig functions to their graphs can seem like a daunting task. These resources show the steps to connect evaluating the functions to graphing them. The collection has a variety of resource types for you to explore. 
19 Items in Collection
Lesson Planet

High School Math Handouts

For Teachers 8th - 12th Standards
A collection of different resources can augment any math curriculum. Sheets can be printed, posted on the wall, or emailed to students for use in the classroom.
45 Items in Collection
Lesson Planet

Functions: High School Common Core Math

For Teachers 9th - 12th Standards
The high school math student should function as well as this collection does. Every standard in the Common Core Functions guide is covered with such resources as lesson plans, worksheets, and videos. Use what you need and put the fun...
2 In 2 Collections
Lesson Planet

Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive instructional activity and an excellent worked out answer key. The instructional activity itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig...
Lesson Planet

Trigonometry Worksheet: Graph Trigonometric Functions (3)

For Students 11th - 12th
For this graphing trigonometric functions worksheet, students graph one function: y=-3cos(2x-pi/4). There is ample space on the page for the student to work out this one problem.
Lesson Planet

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.
Lesson Planet

Trigonometry Worksheet: Graph Trigonometric Functions (1)

For Students 10th - 12th
For this trigonometry worksheet, students graph one trigonometric function. The function is y=2cos(2x). A coordinate grid is included on the worksheet.
Lesson Planet

Trigonometry Review

For Students 11th - 12th
In this trigonometry worksheet, students solve trigonometric equations, prove trigonometric identities, and graph trigonometric functions. The four page worksheet contains sixteen questions. Answers are not included.
Lesson Planet

Math Honors 2: Trigonometry Review Questions

For Students 11th - 12th
In this Algebra II/Trigonometry worksheet, students solve problems involving angle of depression or elevation, evaluate trigonometric expressions, solve trigonometric equations, and graph trigonometric functions. The one page worksheet...
Lesson Planet

Graph Trigonometric Functions

For Students 9th - 12th
In this graphing trigonometric functions worksheet, learners graph 1 sine equation.  Students plot the graph of the function y=-0.5sin(-3x).
1 In 1 Collection
Lesson Planet

Graphs of Other Trigonometric Functions

For Teachers 10th - 12th Standards
Using the powerful tools of shifts and stretches to parent functions, this presentation walks the learner through graphing trigonometric functions by families. Key features of parent functions are reviewed and then the changes to those...
Lesson Planet

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 Planet

Using Technology to Represent Mathematical Identities

For Teachers 11th - Higher Ed
Learners explore the concept of trig identities. In this trig identity lesson, students use Mathematica to graph trig identities. Learners see the trig identities graphically and enforce the notion that two trig functions can be equivalent.
Lesson Planet

Saxon Math: Algebra 2 (Section 6)

For Teachers 9th - 12th Standards
Section six in this series of twelve units takes a turn toward modeling, with lessons on exponential growth and decay, determining angle of rotation, and linear programming. Theory isn't neglected, however, as learners also confront...
Lesson Planet

Graphing Trigonometric Functions

For Teachers 11th - 12th
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
Lesson Planet

Trigonometric Functions Quiz

For Students Higher Ed
In this college level trigonometry worksheet, students graph the given trigonometric equations, identifying the intercepts and the asymptotes.  Students prove that a given equation is an identity.  The two page worksheet contains three...
Lesson Planet

Graphing One Sin Trig Function

For Students 11th - Higher Ed
In this graphing  worksheet, students graph one sine equation.  A blank grid is provided.
1 In 1 Collection
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
Lesson Planet

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 Planet

Trigonometry Practice: Trigonometric Graphs #2

For Teachers 9th - 12th
In this trigonometric functions worksheet, students solve 8 multiple choice and graphing problems.  Students graph trigonometric functions given an equation and match graphs to a given scenario.
1 In 1 Collection
Lesson Planet

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas. 
2 In 2 Collections
Lesson Planet

Trigonometry Review Sheet

For Students 9th - 12th Standards
Get the trig facts fast, and use the review sheet as a guide in the classroom. The worksheet also includes a document version if any changes are needed to the problems. The information includes a small degree/radian chart, a graph of all...
Lesson Planet

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.
2 In 2 Collections
Lesson Planet

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
2 In 2 Collections
Lesson Planet

Trig Cheat Sheet

For Teachers 10th - 12th Standards
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
Lesson Planet

Review Sheets: Trigonometry

For Students 9th - 12th Standards
Review guide, practice test, homework packet? Yes, yes, and yes as it's all possible with a wonderful trigonometry packet. Every type of problem is there, starting from the unit circle and ending with conic sections. 
Lesson Planet

GeoGebra Graphing Calculator

For Students 9th - Higher Ed Standards
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
1 In 1 Collection
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 lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
Lesson Planet

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 Planet

Foxes and Rabbits 2

For Students 9th - 12th Standards
The fox population chases the rabbit population. Groups model the populations of foxes and rabbits with two trigonometric functions. Individuals graph both trigonometric models on the same graph, and then teams determine an explanation...
1 In 1 Collection
EngageNY

Graphing the Tangent Function

For Students 10th - 12th Standards
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
Lesson Planet

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 Planet

Graphing: The Ups and Downs

For Teachers 11th - 12th Standards
What do clocks and Ferris wheels have in common? Your class can model their heights using trigonometric functions! Scholars first use the Internet to find data on provided landmarks (famous clocks and Ferris wheels). Plotting this data...
Lesson Planet

Earth, Can You Hear Me Now?

For Teachers 10th - 12th Standards
How long did you say? Class groups plot the distances between Earth and Mars and determine the trigonometric function that models the data. Using a calculator, they graph the function to determine when the distance and communication...
1 In 1 Collection
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 lesson in this series on transformations, learners use trigonometric functions to model wheels of...
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 Planet

Foxes and Rabbits 3

For Students 9th - 12th Standards
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
1 In 1 Collection
EngageNY

Algebra II Module 2: End-of-Module Assessment

For Teachers 10th - 12th Standards
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
Lesson Planet

Betweenness V

For Students 10th - 12th Standards
Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.
EngageNY

Waves, Sinusoids, and Identities

For Teachers 11th - 12th Standards
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Lesson Planet

As the Wheel Turns

For Students 9th - 12th Standards
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
Lesson Planet

Exploring Sinusoidal Functions

For Students 9th - 12th Standards
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Lesson Planet

Graph of y=cos(x)

For Teachers 9th - 12th Standards
How do Egyptians and trigonometric functions appear similar? The teacher shows the video Walk Like an Egyptian to introduce the concept of the graph of cosine. Pupils determine values of cosine for various angle measures in both degrees...
1 In 1 Collection
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 
Lesson Planet

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...
Lesson Planet

City Temperatures and the Cosine Curve

For Students 10th - 12th Standards
Show your class that yearly temperatures are periodic—and how to model them using a trigonometric function. An interesting lesson asks learners to research the temperatures of a city for a year. After graphing this data, they write an...
1 In 1 Collection
EngageNY

Secant and the Co-Functions

For Students 10th - 12th Standards
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
Lesson Planet

Horizontal Translations or Phase Shifts: Sine

For Students 10th - 12th Standards
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
Lesson Planet

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
1 In 1 Collection
EngageNY

Transforming the Graph of the Sine Function

For Students 10th - 12th Standards
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function. 
Lesson Planet

Sine Solution

For Students 11th - 12th Standards
How many times can eager mathematicians catch the waves? Pupils find the solutions of three different trigonometric equations. They then determine the effect of the slope of a line that intersects a trigonometric function and the number...
Lesson Planet

More Ferris Wheels

For Students 9th - 12th Standards
Take a ride on a Ferris wheel. Using sliders to adjust the parameters of a Ferris wheel, pupils investigate the height of a point over time. The interactive traces out the curve on a time-height graph. Learners use what they learned to...
Lesson Planet

Changes in Period and Amplitude of the Sine Function

For Students 10th - 12th Standards
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
Lesson Planet

Translating Sine and Cosine Functions: Translating Sine

For Students 10th - 12th Standards
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
Lesson Planet

Hours of Daylight 1

For Students 9th - 12th Standards
The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...
Lesson Planet

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
Lesson Planet

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
1 In 1 Collection
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 the...
Lesson Planet

Sine Graph and Cosine Graph: Changing Amplitude

For Students 10th - 12th Standards
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
1 In 1 Collection
EngageNY

Graphing the Sine and Cosine Functions

For Students 10th - 12th Standards
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Lesson Planet

Function Flyer

For Students 8th - 12th Standards
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.
Lesson Planet

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
1 In 1 Collection
EngageNY

Awkward! Who Chose the Number 360, Anyway?

For Students 10th - 12th Standards
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
Lesson Planet

Getting on the Right Wavelength

For Students 9th - 12th Standards
Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...
1 In 1 Collection
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
Lesson Planet

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
Lesson Planet

Vertical Translations

For Students 10th - 12th Standards
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how to...
Lesson Planet

Graphing Trig Functions

For Students 11th
In this graphing trigonometric functions worksheet, 11th graders solve and complete 10 various types of problems. First, they graph each functions as shown. Then, students find the domain in each given function. In addition, they find...
Lesson Planet

Here Comes the Sun

For Students 11th - 12th Standards
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
Lesson Planet

Broken Spreadsheet II

For Students 11th - 12th Standards
Work in reverse with the product becoming the given. Using a spreadsheet image of the graph of a trigonometric function, young scholars investigate methods of creating spreadsheet data that results in the given graph. The catch? The data...
4:15
Lesson Planet

Sine Graph: y=sin(x)

For Students 10th - 12th Standards
The graph of the sine goes up and down, up and down, up and down! An informative video describes the process of graphing the sine function. It shows how to set up a table of values and then presents the finished graph.
2:08
Lesson Planet

Cosine Graph

For Students 10th - 12th Standards
Consign yourself to graphing cosine. Pupils graph the cosine function by first creating a table of values. They see the completed graph, consider the sinusoidal nature of the graph, and identify key features.
5:14
Lesson Planet

Tangent Graph

For Students 10th - 12th Standards
Stay on course to learn about tangents. A brief video describes how to graph the tangent function. The method shown here is to make a table of tangent values to graph on the coordinate plane.
Lesson Planet

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Lesson Planet

Graphing Trigonometric Functions

For Students 11th - 12th
For this geometry worksheet, students identify an angle as an angle of elevation or depression and solve problems in which they find the indicated distance. The one page worksheet contains eight multi-part problems. Answers are not...
8:48
Lesson Planet

Volumes by Slicing

For Students 11th - Higher Ed
Find the volume of a rotational solid by integrating the area of a slice. The AP Calculus resource works through an example of finding the volume of a solid created by rotating a function about the x-axis. The presentation breaks the...
7:11
Lesson Planet

Newton's Method and Inflection Point

For Students 11th - Higher Ed
The inflection point, the point where the second derivative is zero, is the focus of a video  that works through a problem where it is not obvious to see the roots of a function. The solution to the problem requires using Newton's method...
Lesson Planet

Follow That Graph

For Teachers 4th - 6th
Students investigate the graphs of six trigonometric functions. They discover how changes in the equation of the basic function affect the graph of the function.
Lesson Planet

The Trigonometric Functions

For Students 9th - 12th Standards
This extensive chapter gives learners a new angle on that old geometry favorite, trigonometry. From the unit circle to right triangles, the role of trigonometric ratios is explored through explanation of theory and working application...
Lesson Planet

Trigonometric Models

For Teachers 10th - 11th
Learners solve trigonometric functions using the identity property. In this trigonometry lesson, students find the inverse of trig functions. They calculate horizontal shifts, the period, the midline and the amplitude.
Lesson Planet

Adding Trigonometric Functions

For Teachers 9th - 11th
Learners 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.
Lesson Planet

Trigonometric Angle and Sum Identities

For Teachers 10th - 11th
Students find six different trigonometric identities. In this trigonometry lesson, students solve for missing angles using the trigonometric ratios of a right triangle. They use the sum identity to solve for non-right triangles.

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Graphing Trigonometric Functions