EngageNY
The Height and Co-Height Functions of a Ferris Wheel
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.
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
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...
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
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.
K20 LEARN
Round and Round We Go
Connect the dots on trigonometry with K'nex. Scholars use a K'nex model of a Ferris wheel to collect data points to plot on a height versus time graph. They'll then consider what type of function best models the data in the graph—and...
Curated OER
Invent It!
Students explore invention and unveiling of world's first Ferris wheel, analyze photographs and poster of first Ferris wheel, and discuss engineering achievements of Ferris wheel, including how it worked, how it was built, and its...
Mathematics Assessment Project
Representing Trigonometric Functions
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.
Curated OER
Circumscribed Polygons
Students investigate polygons and construct ferris wheels. In this geometry instructional activity, students create a circle and differentiate properties of circles and polygons. They compare the relationship between angles and...
EngageNY
Tides, Sound Waves, and Stock Markets
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.
Curated OER
Ferris Wheel Problem
Learners use two pairs of parametric equations to describe two objects in motion. They determine when two objects are the closest. They simulate the behavior of the two objects and interpret the behavior of the objects in motion.
EngageNY
Extending the Domain of Sine and Cosine to All Real Numbers
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.
EngageNY
From Circle-ometry to Trigonometry
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.
EngageNY
Special Triangles and the Unit Circle
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...
Curated OER
Ten Money Word Problems
Play with money! There are 10 word problems given; can your learners count the money in each and provide the correct answer? If possible, consider providing change for each learner to physically work out the answer.
Curated OER
Sweet Treats at the Carnival: Connect-the-Dots Game
In this math worksheet, students connect the dots from 1 to 10 to finish a picture of a child eating a sweet treat at a carnival. Students color the picture.
Curated OER
Tightrope Trials
Learners research the concepts of center of mass and how to make different things balance. They make symmetrical cut-outs of different "creatures" and experiment with how they balance on a tightrope of string.