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 in this series on transformations, learners use trigonometric functions to model wheels of...
101 Questions
Ferris Wheel
Around and around you'll go! Learners analyze the periodic nature of a Ferris wheel. Using a trigonometric function, they make predictions about the location of a specific car at the end of the ride and its total trips around the circle.
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.
CK-12 Foundation
Length of a Chord: Distance Across a Ferris Wheel
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.
Curated OER
As the Wheel Turns
This is not your typical Ferris wheel problem. In this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the edge...
Institute of Electrical and Electronics Engineers
Build a Big Wheel
What does it take to prepare for a construction project? In an engineering lesson, youngsters examine how a Ferris wheel can turn and carry a load without falling apart. After reading up on big wheel designs, they create a model using...
K5 Learning
Multiplication Word Problems #3
How many people can ride a Ferris wheel with 14 seats, each of which holds 6 people? Learners assess this and four other multiplication word problems, and are encouraged to show their work. They use double- and triple-digit numbers, and...
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.
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.
Flipped Math
Modeling with Trig Functions
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...
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
Ferris Wheel Problem
Pupils 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.
Curated OER
Simple Money Word Problems
In this simple money instructional activity, 6th graders solve and complete 12 different problems that include word problems and money. First, they determine how much money is left after purchasing an item. Then, students determine how...
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
Sunshine Math- 2
In this math applications worksheet, students solve 8 varied problems that include basic operations, geometry, elapsed time, logic and story problems.
Curated OER
Math Maven's Mysteries
In these story problem worksheets, students read the story problem 'The Big Top Carnival Caper' and use the information within the story to help them solve the problem. Students determine the cost of balloons for every 10th person who...
Curated OER
Circular Motion
A helpful physics presentation will have you talking in circles! The material covers circular motion, and includes diagrams, formulas, and example problems. When used in addition with directed instruction and a teacher-created form of...
Curated OER
Word Problems
In this geometry worksheet, students read a scenario and translate it using geometric concepts to find their answers. There are 15 questions with an answer key.
Curated OER
Geometry Lines and Angles
In this lines and angles worksheet, 10th graders solve and complete types of problems that include different line segments and angles to identify. First, they determine whether each line is parallel, skew, or perpendicular in the diagram...
Curated OER
Equations and Inequalities with All Four Operations
In this equation/inequality worksheet, students write equations or inequalities to solve a set of 6 word problems that make use of all four operations.
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.
Curated OER
Precalculus Worksheet
In this Precalculus worksheet, students solve four problems in detail by working with the functions and figuring out the angles. The worksheet could be shrunk to fit on one page.
Curated OER
Evaluative Reading Comprehension
In this reading instructional activity, students answer multiple choice questions about reading lists, classifying, grouping sentences, and more. Students complete 20 problems.