Flipped Math
Exponential Growth and Decay
Here's everything one ever wanted to know about exponential growth and decay in one thorough lesson. A video lesson presents the basics of exponential growth and decay and then applies the information to word problems. The lesson wraps...
Flipped Math
Exponential Modeling
Earn some knowledge about mathematical models for financial situations. The fourth of five parts in the Algebra II - Exponential Functions unit focuses on modeling real-world scenarios with exponential functions. Young mathematicians...
Flipped Math
Percent Change
Change the way the class looks at percent change. Scholars learn to write exponential functions from given information about percent change and to solve real-world problems involving the concept. They also see how to identify the initial...
Flipped Math
Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
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...
Flipped Math
Exponential Growth
They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...
Corbett Maths
Exponential Graphs
Now you have the power to learn about exponential graphs. By watching a video, young mathematicians learn how to graph exponential functions. The method shown here is to create tables of values to graph equations of the form y = k^x.
Krista King Math
Sales Decline Calculus Problems
Decaying car sales ... when should the advertising resume? The last video in a series of 31 works a problem involving exponential decay. The problem presents the scenario of declining car sales in which the rate is not given directly to...
Krista King Math
Continuous Compounding Interest
My great-great-great-grandfather would owe how much? The resource provides a scenario of finding the amount due on a library fine compounded continuously one hundred years later. The presenter substitutes values into the exponential...
Krista King Math
Finding the Derivative of a Function with e^x
Go beyond the basics with exponential functions. Using a function that contains an exponential function, the video shows the steps involved in finding its derivative. The 20th installment in a series of 31 uses an example with the...
Krista King Math
Chain Rule for Derivatives, with Quotient Rule
Work on the chain gang. The 11th installment in a series of 31 demonstrates how the chain rule and the quotient rule work together to find a derivative. Using a trigonometric function of a quotient involving exponentials as an example,...
FuseSchool
Other Graphs—Sin, Cos, Tan, and Exponential
Explore the graphs of the trigonometric functions. Learners see the graphs of the sine, cosine, tangent, and exponential functions. Focusing on the parent function, the video instructor discusses key features and how to identify each...
3Blue1Brown
Derivatives of Exponentials | Essence of Calculus, Chapter 5
See why exponential functions are special. Viewers learn how the derivatives of exponential functions are proportional to their original functions. They see that e^x is a special case where the constant of proportionality is one.
3Blue1Brown
Taylor Series | Essence of Calculus, Chapter 10
Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.
National Education Association
Interpret The Rate of Change (Slope) and Intercepts Within The Context of Everyday Life
I'll do algebra, but graphing is where I draw the line! Video explains how to find the slope of a line when starting with word problems. It includes positive and negative slopes as well as how to identify intercepts.
Brightstorm
Exponential Functions and Their Graphs
Expand your knowledge on exponential growth! A concept video features the definition of an exponential function. Eight problem videos cover graphing exponential functions, identifying exponential growth and decay, and applying...
Curated OER
How Do You Solve a Word Problem with Exponential Decay?
The instructor first identifies what formula to use to solve this word problem. Then she explains what each of the variables stands for and helps match up their given values in this word problem. There are many components to solving this...
Curated OER
STEMbite: Exponential Growth
When your biology or ecology class is studying populations, show this video to explain the concept of exponential growth. You could also use it with a math class. A nice addition would be to read the children's book, The Rajah's Rice: A...
Curated OER
How Do You Evaluate an Exponential Function?
Set up a table to keep track of your values as you evaluate an exponential function. Select some values for the table to plug in to the given exponential expression. Then evaluate the expression. Do you see a pattern?
Educator.com
Differentiation of Polynomials and Exponenital Functions
Extend pupil understanding of derivatives and tangent lines. The problem presented asks individuals to find the points on a graph that have a tangent line parallel to a given line. The instructor shows how to use the concept of a...
Curated OER
How Do You Solve a Word Problem Using an Exponential Function?
In six days Tina gets exponentially better at the number of times she can jump rope. Let's create an equation and see how many times Tina can jump rope on the sixth day. First identify the variables. Next make a table, then plug in the...
Curated OER
What's an Exponential Function?
The instructor defines an exponential function as any expression or equation in which an exponent is a variable. She then gives several examples.
Curated OER
What is Exponential Growth?
Exponential functions often involve the rate of increase or decrease of something. When it's a rate of increase, you have an exponential growth function! The instructor discusses exponential function and how to determine if a value makes...