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
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Lesson Plan
EngageNY

Graphing the Tangent Function

For Students 10th - 12th Standards
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
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...
Unit Plan
Mathematics Vision Project

Module 7: Trigonometric Functions, Equations, and Identities

For Students 10th - 12th Standards
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
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
Curated OER

Families of Functions

For Teachers 9th - 12th
Students investigate families of functions.  In this families of functions instructional activity, students discuss how changing a functions parameters affect its' graph.  Students vary slope and y-intercepts of linear...
Lesson Plan
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...
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.
Lesson Plan
Curated OER

Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
Lesson Plan
EngageNY

The Motion of the Moon, Sun, and Stars—Motivating Mathematics

For Students 10th - 12th Standards
What does math have to do with the behavior of the earth and sun? Learn how the movement of celestial bodies has influenced the development of trigonometry. Scholars connects the details in mathematics to their...
Lesson Plan
Alabama Learning Exchange

Float or Sink?

For Teachers 5th - 8th Standards
Experiment with mass and density as scholars figure out what makes things float or sink. First, they watch a podcast introducing these concepts. Be sure to use the comprehension question to test their understanding. Young scientists...
Lesson Plan
Curated OER

Rainbows, Bridges & Weather, Oh My!

For Teachers 10th - 12th
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
High schoolers explore the concept of sine. For this sine lesson, students create a sine graph from tooth picks. High schoolers create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle...
Lesson Plan
Alabama Learning Exchange

There's Gold in Them There Hills

For Teachers 8th - 11th Standards
Need to build a laser fence on Mars?  In this cute maximizing-area lesson, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition,...
Lesson Plan
Curated OER

The EUVE Orbit

For Teachers 9th - 12th
High schoolers study the nature of a satellite's orbit around the Earth.