Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
Curated OER
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...
Illustrative Mathematics
Identifying Exponential Functions
Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...
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...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Curated OER
Do Two Points Always Determine an Exponential Function?
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...
Curated OER
Two Points Determine an Exponential Function II
Your algebra learners will build an exponential equation given a graph with two specific points labeled.
Illustrative Mathematics
Identifying Graphs of Functions
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...
Texas Instruments
Classifying Functions
Learners explore linear, quadratic, and exponential functions in this activity that makes use of TI Navigator and TI Plus calculators. Using the technology, learners compare and contrast the three types of functions given in...
Curated OER
Carbon 14 Dating, Variation 2
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,...
Curated OER
Equal Factors Over Equal Intervals
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
Curated OER
A Valuable Quarter
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
Curated OER
Rumors
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
Curated OER
Two Points Determine an Exponential Function I
Learners construct an exponential function from a graph, and two given points on the graph, as they analyze what makes up an exponential function.
Curated OER
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.
Curated OER
Doubling Your Money
Your young financial geniuses explore the Rule of 70 as they analyze the exponential function that models the doubling time of investments.
Mathalicious
XBOX Xpotential
Touchdown! This is an exponentially insightful lesson 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 exponential....
Illustrative Mathematics
Exponentials and Logarithms II
A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...
Curated OER
Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Radford University
Function Family Fun
It's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...
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...
Curated OER
Exponential Growth Versus Linear Growth I
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...
Howard County Schools
Drawing Inverses
An Algebra II lesson draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, young scholars graph the logarithmic function. The plan comes with a...