Assessment
CCSS Math Activities

Ferris Wheel

For Students 9th - 12th Standards
Wheel the resource right into your classroom. Young mathematicians use given dimensions of a Ferris wheel to write a height versus time function. They use their functions to answer a set of questions about the Ferris wheel.
Interactive
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1
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...
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

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 plan in this series on transformations, learners use trigonometric functions to model wheels...
Lesson Plan
EngageNY

Ferris Wheels—Tracking the Height of a Passenger Car

For Students 10th - 12th Standards
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Interactive
CK-12 Foundation

Double Angle Identities: Ferris Wheel

For Students 10th - 12th
Use a Ferris wheel to soar to new heights of understanding on double angle identities. Here is an interactive that applies an example of a Ferris wheel to show how doubling the angle does not double the value of a trigonometric ratio....
Interactive
CK-12 Foundation

Length of a Chord: Distance Across a Ferris Wheel

For Students 9th - 12th Standards
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
Interactive
1
1
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...
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...
Instructional Video20:40
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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...
Handout
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Curated OER

Simple Machines Worksheet

For Students 3rd - 8th Standards
Simplify students' lives with this physical science note-taking guide. From inclined planes to moveable pulleys, this resource supports young scientists with defining each type of simple machine while identifying their mechanical...
Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Lesson Plan
EngageNY

From Circle-ometry to Trigonometry

For Students 10th - 12th Standards
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
Lesson Plan
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 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...
Interactive
Physics Aviary

Physics Aviary: Visualizing Sine Curves

For Students 9th - 10th
This program gives students a visual representation of sine curves. The hope is that students can relate properties of the ferris wheel to properties of the sine curve. The height of the center of the ferris wheel is their vertical...

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