CK-12 Foundation
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
Curated OER
Exploring Exponential Growth and Decay Functions
Students differentiate between exponential growth and decay. For this algebra lesson, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
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NUMB3RS Activity: Exponential Growth
Mathematicians investigate exponential growth by exploring two different options for receiving allowance. High schoolers use technology to compare a linear function with a constant rate of growth to a function that grows exponentially...
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Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
Curated OER
In the Billions and Exponential Modeling
Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...
EngageNY
Graphs of Exponential Functions
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of graph...
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Exploring Exponential Models
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
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Himalayan Herds: Fractional Exponential Growth
Learners solve problems by identifying exponential growth and decay and differentiating between patterns, relation and functions. In this algebra lesson, students apply concepts of exponential growth to solve problems.
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Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
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Linear and Exponential Growth
Pupils explore the concept of linear and exponential growth. In this linear and exponential growth lesson, students collect data about China's population. Pupils model the data to determine if it is linear or exponential.
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Exponential Growth and Exponential Functions
Learners explore the concept of exponential functions. In this exponential functions instructional activity, students model exponential growth about a high school population using an applet. Learners manipulate the applet to show the...
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How Does Your Population Grown?
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Curated OER
Rising Gas Prices – Compounding and Inflation
Financial literacy skills and exponential models are connected by the compound interest formula in this task centered on inflation calculations. Collaborative learners get experience collecting data from the given websites and exploring...
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
Mathalicious
XBOX Xpotential
Touchdown! This is an exponentially insightful instructional activity that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or...
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Comparing Exponentials
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
National Council of Teachers of Mathematics
National Debt and Wars
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
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Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
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Infestation to Extermination
Students solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Curated OER
A Penny Saved is a Penny Earned
High schoolers explore the concept of exponential growth. For this exponential growth lesson, students manipulate power models with base 2. High schoolers discuss what would happen if you doubled a penny over the course of 20 days. ...