Illustrative Mathematics
Foxes and Rabbits 3
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
CK-12 Foundation
Basic Trigonometric Limits: Evaluating Limits of tan(x)
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
National Council of Teachers of Mathematics
Tidal Waves
Periodically ship the class a trigonometric application. Pupils model the level of water in a port. Using their models, learners determine the times that a ship can safely navigate into and out of the port, along with determining other...
Concord Consortium
Here Comes the Sun
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
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...
Curated OER
Modelling Periodic Phenomena
For this Pre-calculus/Trigonometry worksheet, students determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
Concord Consortium
Adding the Sines
It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...
EngageNY
The Motion of the Moon, Sun, and Stars—Motivating Mathematics
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 real-world meaning.
EngageNY
Algebra II Module 2: End-of-Module Assessment
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
Curated OER
Budgeting: You Can't Manage What You Don't Know
Students discuss budgets. For this mathematics lesson, students watch an episode of Biz Kid$ about budgeting, participate in a guided group discussion, and create a pamphlet to teach others how to budget their money. Extension activities...
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Curated OER
Meet the Neighbors: Planets Around Nearby Stars
Students explain why a transiting planet causes a periodic dimming in the light from its parent star. They determine the radius of a planet, and its orbital distance, by analyzing data and manipulating equations. Students compare the...
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.
Illustrative Mathematics
As the Wheel Turns
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
CK-12 Foundation
Changes in Period and Amplitude of the Sine Function
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
Curated OER
Show Me the Way To Go Home
Students place a pencil perpendicular to the ground and trace its shadow between 11:30 AM and 12:30 PM. They measure the length of the shadow, periodically over several hours, in either English or Metric units. Using the data, they find...
Curated OER
Getting Started with Interactive Math Notebooks
Set young mathematicians up for success with this interactive math notebook. Including a list of rules and expectations for using the notebooks, as well as templates for a creating a cover page and table of contents, this resource...
Federal Reserve Bank
Cash the Check and Track the Dough
From checking and savings accounts to learning the importance of maintaining records and balancing a bank account, prepare your high schoolers to become financially independent and savvy adults, and explore all the intricacies of owning...
Curated OER
Climate and Periodic Functions: Science & Math Integration
Students complete a lab that introduce the scientific concept of climate on Earth. Following the lab, they complete further research on climate. Using average monthly temperatures students construct a mathematical model and analyze the...
Curated OER
Mathematical Models with Applications: The Sounds of Music
Students use an electronic data-collection device to model the sound produced by a guitar string. They identify the graph of a periodic situation and use the graph to determine the period and frequency of sound waves.
Curated OER
Classification is Sweet
Students classify, weight and organize items during this lesson. This lesson works great as or with an introduction of the Periodic Table of Elements.
Curated OER
Rubber Egg
Learners demonstrate the semi-permeability of a cell membrane. In this rubber egg lesson, students measure and record egg data, place the egg in jar with vinegar and close the lid, observe immediately and periodically for the next 3...
Curated OER
MA 439-Math of Image Processing
In this image processing worksheet, students use a matrix to solve ten problems. For the first six problems, kids are guided to the answer by carefully sequenced questions. The final four problems require students to make a series of...
Curated OER
Using Fourier Series
In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....
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