Mt. San Antonio Collage
Exponential Growth and Decay
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.
National Research Center for Career and Technical Education
Finance: Depreciation (Double Declining)
Of particular interest to a group of business and finance pupils, this lesson explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...
Flipped Math
Unit 7 Review: Exponential Functions
Take a break from learning new information and take time to review. Scholars review the unit by completing some practice problems. They rewrite expressions using exponents, solve exponential equations, graph exponential functions,...
Flipped Math
Calculus AB/BC - Unit 7 Review: Differential Equations
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...
Flipped Math
Calculus AB/BC - Exponential Models with Differential Equations
Exponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...
Flipped Math
Linear vs. Exponential
Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...
Flipped Math
Exponential Decay
The values keep getting smaller—quickly! Pupils watch a video that contrasts exponential decay with exponential growth from the first lesson in the unit. Learners identify exponential functions that are decaying and create graphs of...
Radford University
Animal Decline
Where did they all go? Small groups collect data on different animal species that are on a decline. Teams develop equations to model the populations over time and then create presentations about the decline of their animals. Classmates...
Radford University
Population Project
How fast does it grow? Scholars work on two tasks dealing with exponential growth, one on population growth and the second on investments. Learners research a country's population over the past century and make predictions of the current...
Radford University
Transformational Graphing in the Real World: Bacteria – Growth or Decay?
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Kenan Fellows
Half-Life
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth lesson plan of seven integrating chemistry and algebra. Combining...
Howard County Schools
Exponential Decay Exploration
How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.
National Research Center for Career and Technical Education
Depreciation (Double Declining)
Have you ever been told that your new car begins to lose its value as soon as you drive it off the lot? Aspiring accountants take on the concepts of depreciation and book value through an easy-to-deliver career and technology lesson. The...
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...
CK-12 Foundation
Geometric Sequences: Bacteria Colony
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
CK-12 Foundation
Differential Equations Representing Growth and Decay: Rice Legend
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...
CK-12 Foundation
Exponential Decay: Cool Sunglasses
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They then explore...
Illustrative Mathematics
Carbon 14 Dating in Practice I
How old is the plant? Here is a task that presents the exponential decay function for carbon 14 in a plant. Pupils use the function to estimate the amount of carbon 14 in the plant when it died and analyze the function to find what the...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
Shmoop
Functions Worksheet 5
To the point and deeper thinking are both types of questions included in the worksheet. Begin the practice of solving quadratics and then finish with five questions asking quadratic and exponential application problems.
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...