Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.

Traditional lamian, a noodle originating from China, is hand shaped by twisting, stretching, and folding the dough into strands. Scholars observe the technique before determining the length of the final noodle. They use exponential...

If money was left in an interest-earning account for 1,000 years, how much would it increase? Viewers watch a clip from a show about the future when someone learns about their balance after 1,000 years. Then, they solve for the amount in...

Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...

One grain of rice can save an entire village. Scholars use the book One Grain of Rice by Demi to investigate exponential growth. One grain of rice grows to become over one billion grains of rice—and can feed a lot of people!

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...

Grow your knowledge of exponential functions by leaps and bounds. Pupils use a variety of resources to learn about exponential growth and decay functions. They see how to model real-world situations using these functions.

Develop functions with function notation from formulas. With calculators, pupils graph compound interest equations using a given principle amount, rate, and number of times compounded. Learners convert the formula to use function...

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...

Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.

Two points may be on the graph of an exponential function, not just on a line. Given a function table with two points, pupils determine the exponential function that contains the points. The assessment requests that learners show all...

Calculate the increasing value of an antique. Given the initial value and the rate of growth of an antique desk, pupils write the exponential function to model the value of the desk. The resource provides information that the function is...

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...

Some scientists believe the earth is already over its carrying capacity for humans. The video explains what a carrying capacity is and the limiting factors to consider. It also teaches how to calculate growth rate, interpreting growth...

Given a function that models the population growth of a small town, pupils interpret the parameters of the exponential model. Scholars then find the intercept and the percentage growth factor and explain what they mean in terms of the...

Even if your name isn't Mary, we'll still ask you, "How does your garden grow?" Given verbal and tabular information about the number of seeds planted in two gardens, future gardeners and mathematicians determine whether or not the...

Grow your knowledge of exponential graphs. Individuals graph an exponential function on a coordinate plane given its equation. They determine whether it represents growth or decay, identify intercepts, and describe end behavior.

High schoolers probably won't be tweeting about this resource, but it's still good to use. Scholars create an exponential equation to model a situation involving Twitter followers. The equation provides a means to solve a problem related...

Bacteria can be harmful to your health, but it's great for math. Aspiring mathematicians determine the growth rate of bacteria for data given in a table. They then compare this growth rate to bacteria described verbally.

Increasing or decreasing? Given an exponential function, scholars identify it as representing exponential growth or decay. They then determine the percent rate of change of the function.

Scholars determine the percentage increase of college tuition for a decade based upon the equation given for a year. Pupils rewrite the exponential equation by changing the variable to reflect ten years instead of one.

Observe what happens when individuals change the parameters of a simple exponential function. Pupils use graphing technology to compare exponential functions while changing one parameter. The scholars then make generalizations of the...

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.

Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.