Lesson Plan
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...
Interactive
CK-12 Foundation

#### 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...
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.
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...
Assessment
Illustrative Mathematics

#### 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 Plan
Macmillan Education

#### Sine and Cosine Graphs

For Teachers 9th - 12th Standards
Learners compare and contrast sine and cosine graphs in order to describe their characteristics in a collaborative activity. As they explain their reasoning, learners strengthen their writing and vocabulary skills associated with sine...
Interactive
CK-12 Foundation

#### 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.
Worksheet
2
2
Flipped Math

#### Unit 10 Review: Graphing Sine and Cosine

For Students 9th - 12th Standards
Go up and down with a review. Learners review finding the amplitude, midline, period, and frequency of sinusoidal functions and use that information to draw graphs. Pupils arrive at equations for function from graphs. They finish up the...
Interactive
Shodor Education Foundation

#### Polar Coordinates

For Students 11th - Higher Ed Standards
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
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
West Contra Costa Unified School District

#### Introduction to Trigonometric Functions

For Teachers 9th - 12th
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
Handout
1
1
Chapman University

#### Graphs of the Sine and Cosine Function in Degrees

For Teachers 10th - 12th
This bright, clear, graphic, display of the sin(x) and cos(x) functions spans the domain between -360 degrees and 360 degree. Use it as a poster, handout, presentation slide, or project it onto a whiteboard.
Handout
1
1
Chapman University

#### Graphs of the Sine and Cosine Function in Radians

For Teachers 10th - 12th
This bright, clear, graphical display of the sin(x) and cos(x) functions spans the domain between -2 pi radians and 2 pi radians. Use it as a poster, handout, presentation slide, or project it onto a whiteboard.
Lesson Plan
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 Plan
EngageNY

#### The Height and Co-Height Functions of a Ferris Wheel

For Students 10th - 12th Standards
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
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...
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...
Interactive
CK-12 Foundation

#### 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.
Interactive
CK-12 Foundation

#### 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...
Lesson Plan
Alabama Learning Exchange

#### Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the graph. ...
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.
Lesson Plan
1
1
Curated OER

#### Graphing at all Levels: It's a Beautiful Thing!

For Teachers 8th - 12th Standards
Mixing math and art is done in this lesson plan by applying graphing knowledge to create a unique piece of art. This lesson plan varies acording to the graphing knowledge of the artist. First, learners identify and review various types...
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
Curated OER

#### Graphs of the Sine and Cosine Function

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided.