Instructional Video21:30
2
2
Flipped Math

#### Period

For Students 9th - 12th Standards
Stretch out the curve to expand mathematical knowledge. Pupils learn the definition of period and find out how to determine it both from the graph and the equation of the function. Learners use the new skill in graphing periodic...
Instructional Video21:46
2
2
Flipped Math

#### Amplitude and Midline

For Students 9th - 12th Standards
Roll through two graphs. Learners see how the points from the unit circle allow easy construction of the graphs for sine and cosine using an instructional video. They discover how to find the amplitude and midline both from the graphs...
Interactive
1
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GeoGebra

#### 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...
Assessment
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.
Interactive
CK-12 Foundation

#### 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...
Assessment
Concord Consortium

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...
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...
Assessment
Illustrative Mathematics

#### 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...
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.
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 the...
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

#### 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...
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
Shodor Education Foundation

#### 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.
Interactive
Desmos

#### 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....
Lesson Plan
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...
Interactive
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GeoGebra

#### 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...
Interactive
CK-12 Foundation

#### 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.
Instructional Video7:11
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Educator.com

#### 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...
Interactive
CK-12 Foundation

#### 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...
Instructional Video8:48
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Educator.com

#### 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...
Lesson Plan
Curated OER

#### Trigonometry Practice: Trigonometric Graphs #2

For Teachers 9th - 12th
In this trigonometric functions worksheet, high schoolers solve 8 multiple choice and graphing problems.  Students graph trigonometric functions given an equation and match graphs to a given scenario.
Worksheet
Curated OER

#### Graphing One Sin Trig Function

For Students 11th - Higher Ed
In this graphing  worksheet, students graph one sine equation.  A blank grid is provided.
Instructional Video2:08
Corbett Maths

#### 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.