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Introduction to Exponential Functions

For Teachers 8th - 10th Standards
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
Lesson Plan
Curated OER

Comparing Exponentials

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Making Money and Spreading the Flu!

For Teachers 9th - 11th Standards
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...
Organizer
SHS Algebra

Linear vs. Exponential Functions Tasks

For Students 8th - 10th Standards
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
Lesson Plan
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Curated OER

Do Two Points Always Determine an Exponential Function?

For Teachers 9th - 12th Standards
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
Lesson Plan
Curated OER

Two Points Determine an Exponential Function II

For Teachers 9th - 12th Standards
Your algebra learners will build an exponential equation given a graph with two specific points labeled. 
Lesson Plan
West Contra Costa Unified School District

Writing Exponential Functions Based on Data

For Students 9th - 12th Standards
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...
Lesson Plan
Curated OER

Carbon 14 Dating, Variation 2

For Teachers 9th - 12th Standards
Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...
Lesson Plan
Curated OER

Equal Factors Over Equal Intervals

For Teachers 9th - 12th Standards
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
Lesson Plan
Curated OER

Doubling Your Money

For Teachers 9th - 12th Standards
Your young financial geniuses explore the Rule of 70 as they analyze the exponential function that models the doubling time of investments.
Worksheet
Curated OER

The M & M Function

For Students 8th - 11th Standards
In this M & M activity, students perform probability experiments.  They collect and interpret data, identify the exponential function describing the data and create graphs from the collected information.  This one-page...
Lesson Plan
National Council of Teachers of Mathematics

National Debt and Wars

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

In the Billions and Exponential Modeling

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Basketball Rebounds

For Teachers 9th - 12th Standards
Your young basketball players will build a table and develop a general formula for a decaying exponential scenario involving the rebound distance of a bouncing ball. Using a CBR and graphing calculator can make this even more hands-on...
Lesson Plan
Annenberg Foundation

Skeeters Are Overrunning the World

For Teachers 8th - 10th Standards
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Lesson Plan
Curated OER

Rising Gas Prices – Compounding and Inflation

For Teachers 9th - 12th Standards
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...
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
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,...
Lesson Plan
Curated OER

Carbon 14 Dating

For Teachers 9th - 12th Standards
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
Lesson Plan
Curated OER

Illegal Fish

For Teachers 9th - 12th Standards
Your young fishermen learn about exponential function growth by interpreting the pieces of the given equation within the context of numbers of fish in a lake.
Lesson Plan
Curated OER

How Does Your Population Grown?

For Teachers 8th - 11th
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...
Activity
Curated OER

Carbon 14 Dating in Practice II

For Teachers 9th - 12th Standards
  Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.          
Activity
Curated OER

Carbon 14 Dating in Practice I

For Teachers 9th - 12th Standards
Analyzing and evaluating exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of...
Lesson Plan
Curated OER

Interesting Interest Rates

For Teachers 9th - 12th Standards
Your young bankers compare earning interest accumulated yearly and monthly to decide which method most increases their balance. Using an exponential function to model the bank balance affords the learners more practice connecting...

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