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.
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...
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...
Mathematics Vision Project
Module 6: Trigonometric Functions
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...
Curated OER
Simple Machines
Students explore the concepts of force and effort by observing simple machines. In this physics lesson, students attempt to sharpen a pencil without any help, bite into an orange with their lips curled over their teeth, and other...
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
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
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
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
Ring Around the Rosie
Students examine the concept of angular momentum and its correlation to mass, velocity, and radius. They listen to a teacher-led lecture, conduct an experiment with rotational inertia, angular momentum, and rotation speed by making...
Curated OER
Ring Around the Rosie
Students work together to discover the concept of angular momentum. They participate in experiments in which they test rotation and relate it to an object's mass. They participate in a literacy activity in which they compare mythology...
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.