Mathematics Vision Project
Module 6: Modeling Periodic Behavior
Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...
Statistics Education Web
It’s Elemental! Sampling from the Periodic Table
How random is random? Demonstrate the different random sampling methods using a hands-on activity. Pupils use various sampling techniques to choose a random sample of elements from the periodic table. They use the different samples to...
Curated OER
It's the Law: Periodically
Ninth graders examine the Periodic Table. In this element lesson, 9th graders observe the chemical reactivity of elements. They graph the properties and discuss the trend in the group and period of elements. The students use math to...
Curated OER
Time That Period
Physical science starters play with a pendulum in order to experience periodicity. Detailed procedures and a worksheet are included for day one. For day two, learners will use a graphing calculator to help them plot orbit data from a...
Curated OER
Nuclear Arithmetic
In "Nuclear Arthmetic," first-time physical scientists examine atomic structure and the periodic table of elements. The are given the formula, "N = A-Z," in which N is the number of neutrons, A is the atomic mass, and Z is the atomic...
EngageNY
Modeling with Inverse Trigonometric Functions 2
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
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.
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.
Curated OER
The Periodic Table
Eighth graders read and interpret the Periodic Table. They also make decisions on how to group and arrange different kinds of matter and draw the structure of atoms of pure elements. Finally, 8th graders contrast and compare basic...
Curated OER
Periodic Functions
In this calculus worksheet, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
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.
Las Cumbres Observatory
Plotting an Asteroid Light Curve
Data can tell us a lot about celestial objects that are just too far away to study otherwise. Learners examine data on the brightness of an asteroid to predict its rotation rate. Graphing the data reveals a periodic pattern that allows...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Curated OER
What Are Elements?
Students investigate elements by by defining scientific terms. In this Periodic Table of Elements instructional activity, students utilize a glass of water, and powdered fruit drink to perform a lab activity demonstrating properties of...
Curated OER
Periodic Table of Elements
Middle schoolers use reference skills to locate information about the periodic table.
They identify elements by name, atomic number, atomic mass, symbol and properties. Students use mathematical processes to find the number of...
Curated OER
Periodic Functions
In this Pre-Calculus worksheet, students solve problems involving periodic functions. The three page worksheet contains twenty-three problems. Answers are not provided.
NASA
Earth, Can You Hear Me Now?
How long did you say? Class groups plot the distances between Earth and Mars and determine the trigonometric function that models the data. Using a calculator, they graph the function to determine when the distance and communication...
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.
EngageNY
Basic Trigonometric Identities from Graphs
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 understanding...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
Curated OER
Model Air Plane Acrobatics
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
EngageNY
Graphing the Tangent Function
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...
Curated OER
Finding the Average People Mass for the Element Called "Humans"
Students investigate where a new element would be located on the periodic table. In this isotope instructional activity, students find the mass of a new element, people mass. This number will be entered onto the periodic table of...
Scholastic
Study Jams! Proportions
Join Zoe and Sam as they use proportions to budget money for their Green Earth Club. Watch as they set up and solve a series of proportions using cross multiplication and division. A great resource that brings together prior knowledge of...
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